You invest $600 in an account that has a annual interest rate of 7%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded?
1.75% and 1 time
5.7% and 4 times
1.75% and 16 times
5.7% and 16 times

Answers

Answer 1

Answer:

1.75% and 16 times

Step-by-step explanation:

Compound interest formula:

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

where:

A = final amountP = initial principal balancer = annual interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods

Given:

P = $600r = 7% = 0.07n = 4t = 4

Substituting given values into the formula:

[tex]\sf \implies A=600(1+\frac{0.07}{4})^{4 \times4}[/tex]

          [tex]\sf =791.9576107...[/tex]

Equivalent interest rate:

[tex]\sf \implies \dfrac{r}{n}= \dfrac{0.07}{4}=0.0175=1.75 \%[/tex]

Number of times compounded:

[tex]\sf \implies nt=4 \times 4=16[/tex]


Related Questions

11. What is the solution of this equation
3(2-x)=-(4+3x)
A
-
5
3
В.
5
3
C 2
D. The equation has no solution.

Answers

Answer:

D I think

Step-by-step explanation:

if you do the multiplying you get 6-3x= -4 + (-3x) and then the -3x would cross out leaving 6=-4 which isnt true so D

Answer D

it is 6-3x = -4 -3x then when you add 3 x to both sides so you can move the variables to either side it cancels out on both sides so 6 = -4 meaning there is no solution

The demand function Q and cost function C(Q) of a commodity are given by the equations \[ Q = 20 - 0{,}01P\]
C(Q)=60+6Q,
where P and Q are the price and quantity, respectively. The total revenue function (TR) in terms of P is

Answers

The total revenue of the function is the product of the quantity and the price

The total revenue in terms of P is TR = 20P - 0.01P^2

How to determine the total revenue?

The demand and the cost functions are given as:

Quantity function, Q = 20 - 0.01P

Cost function, C(Q)=60+6Q

The total revenue is calculated as:

TR = Q * P

Substitute Q = 20 - 0.01P in the above equation

TR = P * [20 - 0.01P]

Evaluate the product

TR = 20P - 0.01P^2

Hence, the total revenue in terms of P is TR = 20P - 0.01P^2

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If the value 0.125 is rewritten as X%, what is the value of ?

Answers

the value of 0.125 should be rewritten as the value of 12.5%

Answer:

12.5%

Step-by-step explanation:

0.25  * 100

= 12.5%

can you please answer this, please show work

Answers

Answer:

6:8

Step-by-step explanation:

There are 6 squares and there are 8 triangles, just count them.

Answer:

3 : 4

Step-by-step explanation:

squares : triangles = 6 : 8 ( divide both parts by 2 )

                              = 3 : 4 ← in simplest form

Sherlene bought 3 pounds of coffee and 2 pounds of chocolate for a total of $24. Which equation, written in standard form, correctly represents this scenario and correctly indicates what the variables represent? A) The correct equation is 3x + 2y = 24, where x is the price per pound of coffee and y is the price per pound of chocolate. B) The correct equation is 5x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. C) The correct equation is 3x + 2x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. D) The correct equation is 3x + 2y = 24, where x is the price per pound of chocolate and y is the price per pound of coffee.

Answers

A is the correct answer because it is adding the amount of money and pound multiplied + the other which is accurate to equal 24. the answer would be 3 x 6 + 2 x 3 = 24, 3 x 4 + 2 x 6 = 24, and etc

A square on the board is chosen at random. Find the probability as a fraction in simplest form

Answers

The probability of selecting a square is the likelihood of the square

The probability that the square selected is a multiples of 3 not less than 10 is 3/20

How to determine the probability?

The given parameters are:

Squares = 20

Multiples of 3 not less than 10 = 3

Stripped balloons = 17

The probability that the square selected is a multiples of 3 not less than 10 is calculated as:

P = n(Multiples of 3 not less than 10)/Total

This gives

P = 3/20

Hence, the probability that the square selected is a multiples of 3 not less than 10 is 3/20

Read more about probability at:

https://brainly.com/question/251701

6. this solid has curved sides. all cross sections parallel to the base are squares measuring 3 units on each side. the height from the base to the top is 5 units. what is the volume of this solid ?

nooo websites !!!

Answers

The volume of the given solid prism is: 3 × 3 × 5 = 45 units³

What is the Volume of a Solid prism?

The volume of any solid prism = base area of prism × height of the prism.

Given the following dimensions of the solid prism:

Height of the solid prism = 5 unitsBase area = 3 × 3 = 9 units²

Volume of the solid prism = 9 × 5 = 45 units³

Learn more about volume of solid prism on:

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EASY GIVING BRAINLIEST JUST GRAPH TO FIND ANSWER While warming up for a game, two basketball players shoot balls in parabolic paths. The path of the first player's ball can be represented by the function g(x) = –2x2 + 13x + 7, where x represents the distance from the coach. The path of the second player's ball can be represented by the function h(x) = –x2 + 4x + 21.

Part A: Find the distances in which the two basketball paths will cross. Show all necessary calculations.

Answers

Answer:

  2 ft, 7 ft

Step-by-step explanation:

We are interested in the values of x such that g(x) = h(x). These will be solutions of the difference g(x) -h(x) = 0. Hence the x-intercepts of a graph of g(x) -h(x) will be solutions to the problem.

__

The graph shows the difference between the paths will be zero at distances of 2 feet and 7 feet.

6. The circle in the center of basketball court is being painted. The circle has a radius of 9 feet. What is the circumference of the circle? Leave your solution in terms of pi.​

Answers

Answer:

18pi

Step-by-step explanation:

Circumference = 2 Pi R

c = 2 x 9 x Pi

c = 18Pi

How many flowers, spaced every 4 in., are needed to surround a circular garden with a 150-ft radius? Use 3.15 for (pie symbol)

Answers

Answer:

2835 flowers

Step-by-step explanation:

We need the circumference of the garden, with it's 150' radius.  Circumference, C,  is given by:  C = 2[tex]\pi[/tex]r.  I'll use [tex]\pi[/tex]=3.15, as you have requested, but it is actually closer to 3.14.

C = 2*(3.15)*150'

C = 945'

4 inches = 1/3 foot.

Every 1/3 of a foot of the circumference will have a flower.  We can make this a conversion factor:   3 flowers/foot

Flowers = (945')*( 3 flowers/foot) = 2835 flowers

HELP ME PLEASE
I HATE THE BOTS

How many times more is 2 ^ 10 than 2^ 6
Answer Choices
12
16
8

Answers

Answer:

16

Step-by-step explanation:

Evaluate the two in order to compare them.

2^10=2*2*2*2*2*2*2*2*2*2=1024

2^6=2*2*2*2*2*2=64

The question says how many more TIMES. This tells us that we need to see how many times does 64 go into 1024. To do this, divide 1024/64=16

The answer is 16! Hope this helps ^^

50
The graph shows a proportional relationship between the
number of kilometers traveled by a bicycle (y) and the number of
minutes (x).
45
40
35
30
Distance traveled (km)
What is the unit rate, expressed in kilometers per minute?
25
20
O 0.30 km/min
15
(40, 12)
O 0.33 km/min
03.10 km/min
->
5 10 15 20 25 30 35 40 45 50
Time (min)
3.33 km/min
1
2
3
4
5
6
7
8
Next
9
10

Answers

Given a graph with a line running through coordinates (0,0) and coordinates (40,12), the unit rate of the relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes (x) is given by the slope of the line.

Please Help! Which of the following methods is not used to prove triangles are congruent?

Answers

Answer:

AAA is not a congruency postulate because it could only prove that triangles are similar, not congruent.

Step-by-step explanation:

Write a decimal that is greater than 3.3 and less than 3.73

Answers

Answer: The answer can be 3.4, 3.5, 3.6, and even 3.7

Explain:

It is all because if you got an answer that you need to be between into it, you can start like this. For example: What number is between 3 and 4, well it's 3.5. So do that with the decimal, it's like the same thing.

What if it was between 3.4 and 3.6, than it's anywhere 3.51, like that, or 3.5, to make it simple.

I hope that was helpful

Kim works at an airport on the runway. She is standing and watching an airplane take off from the runway as shown below.

When the airplane is 1,100 feet above the ground, the distance to the airplane from where Kim is standing is 3,850 feet. What is the approximate angle of elevation to the airplane?

Answers

Hence the approximate angle of elevation is 17°

1/4+x=5 1/8
What is x?
Please, Please, Please, Please help me!
Will mark Brainliest!

Answers

Answer:

4 7/8

Step-by-step explanation:

First we need to gte the denominators the same!

So we multiply the 1/4 by 2

1/4 x 2 = 2/8

Now we subtract the 2/8 from 5 1/8 to get our answer :)

5 1/8 - 2/8 = 4 7/8

Your final answer will be 4 7/8 :)

Have a great day!

Please rate and mark brainliest!

- 13/14 divided -26/4 im soo confujsed with this lesson btw this is for math review just
so u know

Answers

Answer= 0.00892857142

Explanation= it is either that or some whole number with half’s you didn’t give a picture or real detail so it is hard to know what grade level you would be at because it could be something totally different it it was in a certain lesson anyways I hope this helped!

The left and right y-axes are in opposite directions because:.

Answers

A high proportion of one allele of a gene indicates a low proportion of the other.

What is the surface area of right rectangular prism with dimensions of
4 centimeters by 4 centimeters by 6 centimeters?
6 cm
4 cm
4cm

Help asap!

Answers

Answer:

S.A of a rectangular prism is 2lh+2lw+2hw

2(4x6)+2(4×4)+2(6×4)

2(24)+2(16)+2(24)

48+32+48= 128cm²

Will give brainliest, thanks, and 5 stars! LOTS OF POINTS! 50 POINTS!

I need help with these questions! Please help me. The choices are all true/false.

Please help me!!!!!!

Please provide in depth explanation too!!

Answers

Answer in order:

False

True

False

False

False

False

False

True

True

Step-by-step explanation:

All of the solutions to the equation[tex]3x^2 - 12 = 0[/tex]are x = 12 and x = -12

Solve:

Common factor - [tex]3(x^2-4)=0[/tex]

Divide both sides

[tex]x^2-4=0[/tex]

Use the quadratic formula

[tex]x=\sqrt{4,x}=\sqrt{-4[/tex]

x = 2, x = -2

Thus, This is false..

-------------------------------------------------------------------------------------------------------------

There are two unique solutions to the equations (x-3)^2 = 16

one variable in matrix = one possible value.

Therefore, x = 7, x = -1

Hence this is True

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 2(x-3)^2-18 = 0 are x = 6 and x = 0

[tex]2x^3-18x^2+54x-72=0[/tex]

[tex]x=5.080084[/tex]

Hence this is false

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7

Add both sides by 8

2(x-5)^2-8+8=0+8

2(x-5)^2=8

(x-5)^2=4

x = 7, x = 3

Hence, this is false

-------------------------------------------------------------------------------------------------------------

The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8

[tex](x+3)^2=17[/tex]

[tex]x=\sqrt{17-3,}=-\sqrt{17}-3[/tex]

Hence this is false.

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4

[tex](2x-1)^2=9[/tex]

x=2, x = -1

Hence this is false.

-------------------------------------------------------------------------------------------------------------

The only solution for equation (2x-1)^2-49=0 is x = 4

[tex](2x-1)^2=49[/tex]

x = 4, x = -3

Hence, this is false

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1

[tex]3(x+2)^2=3[/tex]

[tex](x+2)^2=1[/tex]

x = -1, x = -3

Hence, this is true

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x  = -6

Add 180 to both sides

[tex]5x^2-180+180=0+180[/tex]

[tex]5x^2 = 180[/tex]

[tex]x^2 = 36[/tex]

[tex]x=\sqrt{36},x=-\sqrt{36}[/tex]

x = 6, x = -6

Hence, this is true.

-------------------------------------------------------------------------------------------------------------

[RevyBreeze]

How many times greater is the value of 4 in 547 than the value of the 4 and 84​

Answers

Answer:

10

Step-by-step explanation:

How many times greater is the value of 4 in 547 than the value of the 4 and 84​?

547: 500 + 40 + 7

5 is in the hundreds place

4 is in the tens place

7 is in the ones place

84: 80 + 4

8 is in the tens place

4 is in the ones place

The value of 4 in 547 is 10 times greater than the value of 4 in 84.

Since the 4 in 547 is in the tens place, while the 4 in 84 is in the ones place.

Also, 4 * 10 = 40

Hope this helps!

Help me please jzjskksksjdjkdkdkdjjdkdkdkeskskkskskkskskkskssskskskkkss

Answers

Answer:

224

Step-by-step explanation:

To work out the area of any prism:

Area of cross sectional area x width

In this case, work out the area of the rectangle and multiply by 7

8 x 4 = 32

32 x 7 = 224

Use the distributive property to write an expression equivalent to each of the following x(-2+3)

Answers

Hey there!

x(-2x + 3)

= 1x(-2x + 3)

DISTRIBUTE 1x WITHIN the PARENTHESES

= 1x(-2x) + 1x(3)

= -2x(1x) + 3(1x)

= -2x^2 + 3x


Therefore, your answer is: -2x^2 + 3x


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Calculate the mean and median of: 202, 199, 223, 198, 223, 223, 301, 199.

Answers

Answer:

mean =225.25, median= 212.5

Step-by-step explanation:

You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5

Pls give brainliest ily<3

Element X decays radioactively with a half life of 8 minutes. If there are 170
a
grams of Element X, how long, to the nearest tenth of a minute, would it take
the element to decay to 5 grams?
y = a(.5)

Answers

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.

How to analyze a radioactive decay case

Let suppose that element X experiments a simple radioactive decay, that is, that the element X becomes gradually into another less radioactive stable element in time.

We know that decay behaves exponentially and follows this model:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]   (1)

Where:

[tex]m_{o}[/tex] - Initial mass, in gramst - Time, in minutesτ - Time constant, in minutesm(t) - Current mass, in grams

The time constant can be described in terms of half-life ([tex]t_{1/2}[/tex]), in minutes, through the following expression:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]   (2)

If we know that [tex]t_{1/2} = 8\,min[/tex], [tex]m_{o} = 170\,g[/tex] and [tex]m(t) = 5\,g[/tex], then the time needed for the decay is:

τ ≈ 11.541 min

[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]

t ≈ 40.698 min

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams. [tex]\blacksquare[/tex]

To learn more on radioactive decay, we kindly invite to check this verified question: https://brainly.com/question/27156663

The price of a cup of coffee has risen to 2.35$ today , yesterday’s price was 2.20$ . Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Answer:

3.1%

Step-by-step explanation:

2.20/2.35 = 3.1%

Have an amazing day!!

Please rate an dmark brainliest!!

1/3 (3x)(2x-5)(2x-5)=125

Answers

Answer:

the answer is shown below

Step-by-step explanation:

hope this helps

have an awesome day -TJ

Miranda thought her new jeans would cost $32. The price was actually $36. What was percent error?
A - 87.5%
B - 11.1%
C - 12.5%
D - 88.9%

Answers

Answer:

the answer; 32÷36×100 will give the answer (d) -88.9%

samundra deposits rs 850 at NBL at the half yearly rate of 8% for 1 year. how much interest will he get?

Answers

Interest rate=8%Time=1yr

Total interest:-

8% of deposit8% of 8500.08(850)Rs68

Find the next three terms of the sequence 2000 ,200, 20 … and write the term to term rule.​

Answers

Answer:

2 is the next number in the sequence

Step-by-step explanation:

in this pattern, you go down by one decimal spot ( zero)

this is a geometric sequence since there is a common ratio between each term.

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