Carter is going to invest in an account paying an interest rate of 4.3% compounded daily. How much would Carter need to invest, to the nearest ten dollars, for the value of the account to reach $174,000 in 19 years?

Answers

Answer 1

Carter would need to invest approximately $76,869.06 to reach a value of $174,000 in 19 years with a 4.3% annual interest rate compounded daily.

What is the principal that needs to be invested?

The formula accrued amount in a compounded interest is expressed as;

[tex]A = P( 1 + \frac{r}{n})^{(nt)}[/tex]

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that:

Accrued amount A = $174,000

Compounded daily n = 365

Time t = 19 years

Interest rate r = 4.3%

Principal P = ?

First, convert R as a percent to r as a decimal

r = R/100

r = 4.3/100

r = 0.043

Plug these values into the above formula and solve for principal P.

[tex]A = P( 1 + \frac{r}{n})^{(nt)}\\\\A = 174,000( 1 + \frac{0.043}{365})^{(365\ *\ 19)}\\\\A = \$ 76,869.06[/tex]

Therefore, the principal that needs to invested is $76,869.06.

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Related Questions

Directions: For A and B, use the given rules to write the first five terms in each
sequence. Then, use the terms to create ordered pairs for each numerical pattern.
A. Rule 1: Add 3 starting from 13.
Rule 2: 25-2x, where x is equal to 5, 6, 7, 8, 9.
Sequence 2
Sequence 1
B. Rule 1: Multiply by 3, then add 2, starting from 1.
Rule 2: Multiply by 2, then add 3, starting from 6.
Sequence 1
Sequence 2
Ordered Pair
Ordered Pair
OFFERING 50 POINTS

Answers

In solving the sequence using the provided rules, we have:

A) Sequence 1: 13, 16, 19, 22, 25.

    Sequence 2: 15, 13, 11, 9, 7.

    Ordered Pair: (13, 15), (16, 13), (19, 11), (22, 9), (25, 7)

B) Sequence 1: 1, 5, 17, 53, 159.

Sequence 2:  6, 15, 33, 69, 141.

Ordered Pair: (1, 6), (5, 15), (17, 33), (53, 69), (159, 141).

How to solve the sequence?

Using the given rules, we can solve the sequence as follows:

A. Rule 1: Add 3 starting from 13

The first five terms in Sequence 1 would be:

13, 13 +3 = 16, 16 +3 = 19, 19 + 3 = 22, 22 + 3 = 25.

13, 16, 19, 22, 25

Using Rule 2: 25-2x, where x is equal to 5, 6, 7, 8, 9

The first five terms in Sequence 2 would be:

25 - 2(5) = 25 - 10 = 15

25 - 2(6) = 25 - 12 = 13

25 - 2(7) = 25 - 14 = 11

25 - 2(8) = 25 - 16 = 9

25 - 2(9) = 25 - 18 = 7

The ordered pairs for each numerical pattern would be:

(13, 15), (16, 13), (19, 11), (22, 9), (25, 7)

B.  Rule 1: Multiply by 3, then add 2, starting from 1

The first five terms in Sequence 1:

1, (1 * 3) + 2 = 5, (5 * 3) + 2 = 17, (17 * 3) + 2 = 53, (53 * 3) + 2 = 159

Using Rule 2: Multiply by 2, then add 3, starting from 6

The first five terms in Sequence 2:

6, (6 * 2) + 3 = 15, (15 * 2) + 3 = 33, (33 * 2) + 3 = 69, (69 * 2) + 3 = 141

The ordered pairs for each numerical pattern would be:

(1, 6), (5, 15), (17, 33), (53, 69), (159, 141)

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It is given that f(x) =1/x³, for x > 0. Show that f is a decreasing function.

Answers

The function f(x) = 1/x³ is indeed a decreasing function for x > 0.

To show that the function f(x) = 1/x³ is a decreasing function, we need to demonstrate that the derivative of f(x) is negative for all x > 0.

Let's calculate the derivative of f(x) with respect to x:

f'(x) = d/dx (1/x³)

Using the power rule for differentiation, we can rewrite the expression as:

[tex]f'(x) = (-3) / x^{(3+1)[/tex]

Simplifying further, we have:

f'(x) = -3 / x⁴

Now, to show that f(x) is decreasing, we need to prove that f'(x) < 0 for all x > 0.

Substituting x = 1 in f'(x), we get:

f'(1) = -3 / 1⁴ = -3

Since -3 is negative, we can conclude that f'(x) < 0 for all x > 0.

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here is my algebra 13 homework, can someone please help me quick!

Answers

The decreasing interval of function is (-∞ , 0) .

The decreasing interval in the function is said to be when the value of the derivative f' (x) ≤ 0 .

Decreasing interval is when f(x) is decreasing as x is increasing.

Here the graph is of a parabola the equation of a upper parabola is

f(x) = x²

Now doing derivation of the parabola equation, we get

f'(x) = 2x

As for decreasing interval we will put

f'(x) ≤ 0

Putting the value of f'(x) in the equation

2x ≤ 0

x ≤ 0

Decreasing interval (-∞ , 0)

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Mary goes walking everyday she walks 14ft every 4 seconds which is equation models the relationship between the time Mary walks x and the distance she walks y

Answers

Answer:

y=3.5x

Step-by-step explanation:

to find the the feet mary walks per second, divide 14 by 4

14/4=3.5 feet/second

the total distance mary walks can be represented by multiplying the number of feet she walks per second by the number of seconds she walks

y= 3.5x

in this model, x is seconds

The diagram shows a right-angled triangle.
24 cm
18 cm
_Not to scale
Calculate the value oft. Give your answer correct to 1 decimal place.

Answers

Answer:

can i have a photo, please?

Step-by-step explanation:

Question One
Consider the following information that relates to a certain
economy
C= 40 +0.35
I = 70- 2r
G=400
T= 15+0.2Y
X=240
M=45+0.4Y
r = 0.5
Required:
i). Compute the autonomous investment, government
expenditure, export, and tax multipliers
ii). Find the equilibrium income

Answers

i) Compute the autonomous investment, government the MPM is 0.4.

AI = 1 / (1 - 0.35) = 1 / 0.65 ≈ 1.538 (approximately)

GM = 1 / (1 - 0.35) = 1 / 0.65 ≈ 1.538 (approximately)

XM = 1 / (1 - 0.4) = 1 / 0.6 ≈ 1.667 (approximately)

TM = -0.35 / (1 - 0.35) ≈ -0.538 (approximately)

ii) The equilibrium income is approximately 709.52.

To compute the autonomous investment (A), government expenditure (G), export (X), and tax (T) multipliers, we need to use the following formulas:

Autonomous Investment Multiplier (AI):

AI = 1 / (1 - MPC)

where MPC is the marginal propensity to consume.

Government Expenditure Multiplier (GM):

GM = 1 / (1 - MPC)

Export Multiplier (XM):

XM = 1 / (1 - MPM)

where MPX is the marginal propensity to import.

Tax Multiplier (TM):

TM = -MPC / (1 - MPC)

Now let's calculate these multipliers using the given information:

i). Compute the multipliers:

MPC = change in consumption / change in income

Here, we can see that the consumption function is given by C = 40 + 0.35Y.

So, the MPC is 0.35.

MPM = change in imports / change in income

Here, we can see that the import function is given by M = 45 + 0.4Y.

So, the MPM is 0.4.

AI = 1 / (1 - 0.35) = 1 / 0.65 ≈ 1.538 (approximately)

GM = 1 / (1 - 0.35) = 1 / 0.65 ≈ 1.538 (approximately)

XM = 1 / (1 - 0.4) = 1 / 0.6 ≈ 1.667 (approximately)

TM = -0.35 / (1 - 0.35) ≈ -0.538 (approximately)

ii). Find the equilibrium income:

To find the equilibrium income, we set aggregate demand (Y) equal to aggregate supply (Y) and solve for Y.

Aggregate demand (Y):

Y = C + I + G + (X - M)

Substituting the given values, we have:

Y = (40 + 0.35Y) + (70 - 2r) + 400 + (240 - (45 + 0.4Y))

Simplifying the equation:

Y = 40 + 0.35Y + 70 - 2(0.5) + 400 + 240 - 45 - 0.4Y

Combining like terms:

Y = 745 - 0.05Y

Bringing Y terms to one side:

1.05Y = 745

Dividing both sides by 1.05:

Y = 745 / 1.05 ≈ 709.52 (approximately)

Therefore, the equilibrium income is approximately 709.52.

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Please help. Any unnecessary answers will be reported.

You are in a competition that involves building card towers. The quickest person to reach 100 stories wins the competition. After reaching 5 stories of cards as shown in the picture below, you needed to use 40 cards.
How many cards will be necessary to build , in a similar way, a tower with 100 stories? Make sure you include work.

Answers

The 10,100 cards will be necessary to build a 100-story card tower.

To build a 100-story card tower, we can use the triangular number formula to calculate the total number of cards needed. The formula is:

Triangular number = (n * (n + 1)) / 2

In this case, n represents the number of stories in the tower (100). Plug in the value for n:

Triangular number = (100 * (100 + 1)) / 2
Triangular number = (100 * 101) / 2
Triangular number = 10,100 / 2
Triangular number = 5,050

Additionally, each story requires two cards, so we multiply the triangular number by 2 to get the total number of cards:

Total cards = 5,050 * 2
Total cards = 10,100

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The figure below can be used to prove the Pythagorean Theorem. Use the drop-down menus to complete the proof. b Click the arrows to choose an answer from each menu. The expression Choose.. represents the area of the figure as the sum of the area of the shaded triangles and the area of the white square.

Answers

The expression 2ab + [tex]c^2[/tex]  represents the area of the figure as the sum of the area of the shaded triangles and the area of the white square.

The equivalent expression [tex]a^2 +b^2+2ab[/tex] use the length of the figure to represent the area.

[tex]2ab +c^2=a^2+b^2+2ab[/tex]

Subtracting 2ab from both sides

[tex]c^2=a^2+b^2[/tex]

Figure of a square with some shaded triangles.

Area of the triangle formula is 1/2 times base times height

base =a and height =a

Area of one triangle = 1/2ab

There are 4 shaded triangles

Area of 4 shaded triangles = 4 x 1/2ab

Area of the square = side times side

Now we find the area of outer square. side length is a+b

Area of outside square = (a + b)(a + b) = [tex](a+b)^2[/tex] = [tex]a^2 +b^2+2ab[/tex]

Using the length of the figure to represent the area.

Thus, now set both the areas equal to each other.

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Your question seems incomplete, the probable complete question is

A cone with a height of 50 meters has a volume of 5,400π meters cubed. What is the radius of the cone?

Answers

The radius of the cone with the given volume which is is terms of π would be = 18m

How to calculate the radius of a cone?

To determine the radius of the cone, the formula that should be used in the formula for the volume of cone which would be given below;

Volume of cone =1/3πr²h

where;

radius = ?

volume = 5,400π

height = 50m

That is;

5,400π = 1/3×π×r²×50

make r² the subject of formula;

r² = 5400π×3/50π

= 108×3

= 324

r = √324

= 18

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879 dived by 8 with remainder ad fraction

Answers

Answer: 109.875

Step-by-step explanation: 879 / 8 = 109.875 because if you divide 8 by 9 you get 1 so after you would divide 79 by 8 = 9.875 so then you put 109 then after but the decimals 109.875.

Directions: Complete the table below.
Scientific Notation
5.397 x 10^2
Convert it to Standard Notation

Answers

The standard notation for the given scientific notation[tex]5.397 * 10^2[/tex] is 539.7

How to convert to standard notation

To convert the given scientific notation [tex]5.397 * 10^2[/tex]to standard notation, you simply need to multiply the coefficient (5.397) by the power of [tex]10 (10^2).[/tex]

The power of 10 indicates how many places the decimal point should be moved to the right. In this case, [tex]10^2[/tex] means moving the decimal point two places to the right.

Multiplying the coefficient 5.397 by

[tex]10^2[/tex]

gives us:

[tex]5.397 \times 10^2 = 5.397 \times \ 100 = 539.7[/tex]

Therefore, the standard notation for the given scientific notation 5.397 x [tex]10^2[/tex]  is 539.7.

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the coldest temperature ever recorded on earth was -89.2

Answers

The statement that "the coldest temperature ever recorded on earth was - 89. 2 ° " is True.

What was the coldest temperature recorded ?

The Soviet Union's Vostok Station in Antarctica recorded the coldest temperature ever observed on Earth, measuring at -89.2°C on July 21, 1983 via satellite and weather station data.

This natural occurrence saw a temperature that presents significant risks to animal and human life due to poor insulation available against such extreme colds. Without suitable warming tools, survival is near impossible.

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If your heart beats 48 times in 40 seconds, which proportion could be used to make the best estimate for the number of beats in 60 seconds? A. 48/40 = 60/x B. 40/60 = 48/x C. 48/40 = 60/x D. 48/60 = 40/x

Answers

Given statement solution :- The correct proportion to make the best estimate for the number of beats in 60 seconds is:

A. 48/40 = 60/x

To make the best estimate for the number of beats in 60 seconds, we need to find the proportion that relates the beats per second in the given scenario to the desired duration of 60 seconds.

Let's set up the proportion using the given information:

Heart beats per second (beats/sec) = 48 beats / 40 seconds

We want to find the number of beats in 60 seconds (x beats / 60 seconds).

The correct proportion would be:

48 beats / 40 seconds = x beats / 60 seconds

Therefore, the correct proportion to make the best estimate for the number of beats in 60 seconds is:

A. 48/40 = 60/x

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A top travels 8 centimeters each time it is spun. if it is spun 7 times what distance does it travel?

Answers

If a top travels 8 centimeters each time it is spun and it is spun 7 times, the total distance it travels is 56 centimeters.

How the total distance is determined:

The total distance is determined by multiplication of the distance traveled per spin and the number of spins.

Multiplication involves the multiplicand, the multiplier, and the product.

The traveling distance per spun = 8 centimeters

The number of spinning of the top = 7 times

The total distance = 56 centimeters (8 x 7)

Thus, using multiplication, the total distance the top travels after the 7th spin is 56 centimeters.

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find the volume of each figure. round to the nearest tenth as needed. please show the work, will mark the brainliest.

Answers

Answer:

4. 4155.3cm³

5. 783m³

6. 1962.44821094mm³

#4 Explanation:

First, you would separate the 2 shapes it consists of, a cylinder and a cone.

For the cone, you would use the equation (1/3)πr²h. Fill in the appropriate variables with the numbers from the formula. Pi, π, is a number itself so you leave it as it is.

r = radius = 8cm

h = height = 14cm

(1/3)(π)(8)²(14)

Put this equation into a calculator, it's important to include the parentheses or it might give you the incorrect answer, this is so that it separates the different values while multiplying. After inputting it, it should give you:

v = 938.289005872cm³

Then, you would have to find the volume of the cylinder, using the equation; πr²h.

The radius would be the same as the cone, and the height is as the problem states, 16cm.

Solve the problem after inputting the values:

π(8)²(16)= 3216.99087728cm³

Then, add the values to get the total volume.

938.289005872cm³ + 3216.99087728cm³ =

4155.27988315cm³

Round to nearest tenth: 4155.3cm³

#5 Explanation:

Again, you would separate the shapes into 2 separate ones.

The top one is a triangular prism and uses the equation (1/2)bh.

b = base = 9m

h = 12m

(1/2)(9)(12) = 54m³

The bottom shape is a rectangular prism, where we use the equation L×W×H.

Length = 9m

Width = 9m

Height = 9m

Substitute the numbers into the equation.

9×9×9 = 729m³

Add both of them together to get the total volume:

54m³ + 729m³ = 783m³

#6 Equation:
In this figure, we are looking for the outer shape, so we will have to subtract the smaller cone.

First, we find the total volume, and we will use the same equation, (1/3)πr²h.

radius = half of diameter = 20/2 = 10mm

h = 20mm

(1/3)π(10)²(20) = 2094.39510239mm³

Second, we find the volume of the smaller cone, using the same equation, (1/3)πr²h.

In order to find the diameter, we will have to subtract the 7 mm that are on either side of the cone, so 20 - 14 = 6, then divide it by 2 so we can get the necessary radius. 6/2 = 3

r = 3mm

h = 14mm

Substitute values into equation and use calculator to solve.

(1/3)π(3)²(14) = 131.946891451mm³

Subtract the value of the smaller cone from total volume in order to get the volume for this figure.

2094.39510239mm³ - 131.946891451mm³ =

1962.44821094mm³

On the first day of the month, Sandra starts to read a 420-page book. She is determined to read 30
pages each night. The function P (d) = 420-30d specifies the number of pages P remaining
after Sandra does her reading on day d of the month.
Which equation offers a solution giving the day of the month Sandra finishes, and what day of the
month is that?
OP(d)=0; day 21
OP(d)-30; day 21
OP(d) = 420; day 21
OP(d) = 420; day 14
OP(d) = 0; day 14
OP (d)-30; day 14

Answers

Answer:

P(d) = 0; 14 days

Step-by-step explanation:

First part of answer:  Setting P(d) = 0 would allow us to find the day Sandra finishes since P represents the pages remaining the book will be finished when there are 0 pages left to read.

Second part of answer:  We can solve the equation P(d) = 0 = 420 - 30d to see how it would take 14 days to finish the book and have 0 pages left to read:

Step 1:  Subtract 420 from both sides:

(0 = 420 - 30d) - 420

-420 = -30d

Step 2:  Divide both sides by -3 to solve for d:

(-420 = -30d) / -30

14 = d

65 POINTS!!!!!! PLEASE ANSWER QUICK

Answers

The probabilities are: 1a) P(A) = 12, 1b)P(B) = 1.055 + 1,160 = 1,161.055 . 1c) P(A and B) = P(AB) = 1.055

How to find the probabilities

P(A) = 12

P(B) = 1.055 + 1,160 = 1,161.055

P(A and B) = P(AB) = 1.055

To determine if the events A and B are independent, we need to check if P(A and B) = P(A) * P(B).

P(A) * P(B) = 12 * 1,161.055 = 13,932.66

Since P(AB) = 1.055 is not equal to P(A) * P(B) = 13,932.66, the events A and B are not independent.

P(A | B) = P(AB) / P(B) = 1.055 / 1,161.055 ≈ 0.0009098

To convert this probability to a percentage, we multiply by 100:

Percentage chance = P(A | B) * 100 ≈ 0.0009098 * 100 ≈ 0.091%

Therefore, the company should report a percentage chance of approximately 0.091% to the person as an estimate of their risk of developing the disease based on the study.

The reasoning behind this estimation is that among those who have the genetic variation (B), the probability of having the disease (A) is approximately 0.0009098, which corresponds to 0.091% when expressed as a percentage.

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The number 1.3 is both a(n) __________ and a(n) __________ number.

Answers

The number 1.3 is both a rational and an irrational number.

What is the number 1.3?

The number 1.3 is a rational number because it can be expressed as the quotient of two integers, namely 13/10.

The number 1.3 an irrational number because it cannot be expressed as the ratio of two integers, without repeating or terminating decimals, and its decimal representation goes on forever without repeating.

So we can conclude that the number 1.3 is both rational and irrational number.

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Can a triangle be formed with side lengths 4,8,11? Explain
No because 11-8<4
Yes because 11-4<8
No because 4+8>11
Yes because 4+8>11

Answers

Yes, because 4+8 > how many 11

Hi can someone who is great at math please help me with these math questions. I'm struggling with them!!

Answers

1) The value of x = 12°

2) For any real value of n, y = n and  x = (3/2)n

And the measure of angle B is 68°

3) The measure of angle A is 26° and the measure of angle B is 154°

4) The coordinates of vertex D(4, 0)

1)

We know that a linear pair of angles always add up to 180°

168° + x° = 180°

x = 180° - 168°

x = 12°

2)

Here, in parallelogram ABCD, the measure of angle A = 112°

We know that the opposite angles of a parallelogram are equal.

So, m∠C = 112°

Let measure of angle B and D is p degrees.

∠A + ∠B + ∠C + ∠D = 360°

2p + 2(112) = 360°

p = (360 - 224)/2

p = 68°

so, the measure of angle B is 68°

The opposite sides of a parallelogram are equal.

So, side AD = side BC

(2x + 4) = (3y + 4)

2x = 3y

x = (3/2)y

For any real value of n,

y = n

then x = (3/2)n

3)

Consider parallelogram ABCD.

Let us assume that one of the interior angle measures x and then other interior angle be y.

x is 50 degrees more than 4 times the measure of y

x = 4y + 50

We know that the sum of two interior angles (non-opposite) is 180°

⇒ x + y =  180°

⇒ 4y + 50 + y =  180°

⇒ 5y = 130°

⇒ y = 26°

And the value of x would be,

x = 4(26) + 50

x = 154°

So, the measure of angle A is 26° and the measure of angle B is 154°

4)

Let the fourth vertex be D(a,b)

Since ABCD is a parallelogram, the diagonals bisect each other.

coordinates of midpoint of AC = coordinates of midpoint of BD

By midpoint formula,

((1 + 6)/2, (2 + 4)/2) = ((3 + a)/2 , (6 + b)/2)

comparing x and y coordinates,

(3 + a)/2 = (1 + 6)/2

3 + a = 7

a = 4

(6 + b)/2 = (2 + 4)/2

6 + b = 6

b = 0

So, the coordinates of vertex D(4, 0)

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I need the steps for this one

Answers

Answer:

[tex]-61[/tex]

Step-by-step explanation:

[tex]\mathrm{We\ have\ f(}x)=-3x^2-2x+4\\\mathrm{Put}\ x=-5,\\\mathrm{f}(-5)=-3(-5)^2-2(-5)+4=-3(25)+10+4=-75+10+4=-61[/tex]

What’s the answers to this?

Answers

The vector representing the radius at the given position is  -13i - j  - 5k.

The magnitude of the radius vector is 13.96 units.

What is the vector representing the radius?

The vector representing the radius at the given position is calculated as follows;

center of the sphere = (11, 5, 2)

The point of the radius = ( -2, 4, -3 )

The radius vector = ( - 2 - 11) , ( 4 - 5), ( -3 - 2)

r = ( -13, - 1, - 5)

r = -13i - j  - 5k

The magnitude of the radius vector is calculated as follows;

| r | = √ x² + y² + z²

where;

x, y, z are the various component of the radius

| r | = √[ ( -13²) + ( -1)² + ( -5 )² ]

| r | = √ ( 169 + 1 + 25 )

| r | = √ ( 195 )

| r | = 13.96 units

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Find the surface area of the cylinder. Round your number to the nearest tenth if necessary
3ft 2ft

Answers

94.2 square feet is the surface area of the cylinder

The given cylinder has a height of 2 ft and radius of 3 ft

We have to find the surface area of cylinder

Surface area =2πrh+2πr²

Substitute the values of radius and height

=2πr(r+h)

=2×3.14×3(3+2)

=18.84(5)

=18.84×5

Surface area=94.2 square feet

Hence, the surface area of the cylinder is 94.2 square feet

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Evaluate
--(5-1)(5²).

Answers

Answer:

  100

Step-by-step explanation:

You want the value of --(5-1)(5²).

Minus signs

The even number of leading minus signs cancel each other, so the effect is as if there were no leading minus signs.

  --(5 -1)(5²)

  = --(4)(25)

  = --(100)

  = -(-100)

  = 100

__

Additional comment

As always, the value of a numeric expression can be found using a calculator.

<95141404393>

Pls can someone help me?

I’m pretty sure the value of a->60
b-> 110
c->80

What do i write for the reasons of them tho? Pls help! thanks

Answers

The values of the angles a, b and c are 60°, 110° and 80° respectively.

Given is a figure we need to find the measure of the angles given,

a, b, c.

So,

70° + 50° + a = 180° [making linear pair angles]

120° + a = 180°

a = 60°

50° + a = b [corresponding angles between parallel lines]

b = 50° + 60°

b = 110°

a + 40° + ∠HFE = 180° [angle sum property of a triangle]

60° + 40° + ∠HFE = 180°

∠HFE = 80°

∠HFE = c [alternate angles between parallel lines]

c = 80°

Hence the values of the angles a, b and c are 60°, 110° and 80° respectively.

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What is the definition of postulate? A. an assumption, presumed to be true, that is used as the basis for a logical argument B. a statement that has been shown to be false by logical argument C. a statement that has been shown to be true by logical argument D. a statement, known to be false, that is used as the basis for a logical argument

Answers

Postulate is an assumption, presumed to be true, that is used as the basis for a logical argument.

We have,

A postulate is a statement or proposition that is accepted as true without proof.

It is an assumption or starting point in a logical argument that is considered to be self-evident or evident based on previous experience or observation.

In mathematics,

Postulates are used to define the basic concepts and axioms that form the foundation of a particular system of thought.

They are often used as the starting point for deriving other mathematical concepts and theorems.

Postulates are also known as axioms or assumptions.

Thus,

Postulate is an assumption, presumed to be true, that is used as the basis for a logical argument.

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Question 8
Match each compound to its correct type.
8.1
CO
hydroxide
8.2
CO₂
carbonate
8.3
SO₂
8.4
CaCO
8.5
NaOH
oxide
trioxide
dioxide

Answers

8.1 CO: oxide

8.2 CO₂: dioxide

8.3 SO₂: dioxide

8.4 CaCO:

8.5 NaOH:

8.1 CO: oxide

CO represents carbon monoxide, which is composed of one carbon atom (C) and one oxygen atom (O). It is classified as an oxide because it consists of oxygen combined with another element.

8.2 CO₂: dioxide

CO₂ represents carbon dioxide, which consists of one carbon atom (C) and two oxygen atoms (O). It is classified as a dioxide because it contains two oxygen atoms per molecule.

8.3 SO₂: dioxide

SO₂ represents sulfur dioxide, composed of one sulfur atom (S) and two oxygen atoms (O). It is also classified as a dioxide because it contains two oxygen atoms per molecule.

8.4 CaCO: This formula is incomplete or incorrect. It seems to be missing a subscript or superscript to indicate the number of atoms or ions involved. Please provide the correct formula, and I'll be happy to match it with its type.

8.5 NaOH: hydroxide

NaOH represents sodium hydroxide, which consists of one sodium ion (Na⁺) and one hydroxide ion (OH⁻). It is classified as a hydroxide because it contains the hydroxide ion, which is composed of one oxygen atom and one hydrogen atom.

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Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x – 3 On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded. Only values that satisfy y > 3x + 1 are solutions. Only values that satisfy y < 3x – 3 are solutions. Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions. There are no solutions.

Answers

There are no solutions to the system of inequalities Option (d)

Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.

A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is

y > 3x + 1

y < 3x - 3

The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.

The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.

Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.

To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.

When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.

There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.

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Complete Question :

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

Options:

a)Only values that satisfy y > 3x + 1 are solutions.

b)Only values that satisfy y < 3x – 3 are solutions.

c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.

d)There are no solutions.

Answer:

D

Step-by-step explanation:

Which uppercase letters among W, X, Y, and Z have both
reflective and rotational symmetry?

Answers

Answer:

X

Step-by-step explanation:

Reflective symmetry, also known as mirror symmetry, exists when a figure can be reflected across a line and appear the same. Rotational symmetry exists when a figure can be rotated about a point by a certain degree less than 360 and still appear the same.

Among the uppercase letters W, X, Y, and Z:

The letter W has no reflective or rotational symmetry.

The letter X has both reflective and rotational symmetry. It's symmetrical on both the vertical and horizontal axes and has a rotational symmetry of 180 degrees.

The letter Y only has reflective symmetry on the vertical axis, but it does not have rotational symmetry.

The letter Z also has reflective symmetry on the horizontal axis, but it does not have rotational symmetry.

So among these letters, only X has both reflective and rotational symmetry.

What are the first two steps in solving the radical equation below?
√x+1-4 = 8
A. Square both sides and then subtract 1 from both sides.
B. Add 4 to both sides and then subtract 1 from both sides.
C. Square both sides and then add 4 to both sides.
D. Add 4 to both sides and then square both sides.
SUBMIT

Answers

The first two steps in solving the radical equation, √x+1-4 = 8  is D. Add 4 to both sides and then square both sides.

How do we solve the radical equation?

We can solve the radical equation by adding 4 to both sides and then squaring both sides.

Given equation: √x+1 - 4 = 8.

The First step: add 4 to both sides of the equation:

√x+1 - 4 + 4 = 8 + 4

Simplifying the equation:

√x+1 = 12

The Second step: square both sides of the equation to eliminate the square root:

(√x+1)² = 12²

Squaring both sides gives:

x + 1 = 144

Finally, subtract 1 from both sides to isolate x:

x + 1 - 1 = 144 - 1

x = 143

So, adding 4 to both sides and then squaring both sides are the first two steps in solving the equation.

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