Adrian invested a total of $7000 in two accounts. One account pays 5% interest annually; the other pays 4% interest annually. At the end of the year, Adrian earned a total of $300 in interest. Write and solve a system of equations to find how much money Adrian invested in each account.
Adrian invested ____ in the 5% account and ____ in the 4% account.

Answers

Answer 1

Answer:Cost = $33 per month + Fee 1.  C(m) = 33m + F 33(6) + F = 228198 + F = 228F = $30 membership fee C(m) = 33m + 30 2.  At 9 months:  33(9) + 30 = $327

Step-by-step explanation:


Related Questions

Please help math in the sreenshot

Answers

Answer:

yeh

Step-by-step explanation:

1 gallons = 4 quarts

4,8,20,28

quarts= 2 pints

1,3,6,16

1 pint= 2 cups

2,6,5,18

Question 9 of 12
What is cos 60°?
A. 13
B. 1
C.
2
D.
2.
E.
NS-
F. V

Answers

The answer is D 1/2
Cos of 60 = 0.5
Which 0.5 as a fraction is 1/2

Answer:

D

Step-by-step explanation:

You can find the answer by memorizing the values of the unit circle.

the perimeter of this figure is 70 feet. how long are the unkown sides?
5 ft
6 ft
10 ft
12 ft​

Answers

Answer:

The correct answer is 6 ft. Hope this helps!

Step-by-step explanation:

I would just like to know what this means and how to do it consistently. Thanks (:

Answers

Answer:

This question is asking for you to determine if the tables represent linear functions, functions in y=mx+b form, and to find the equation for the line.

If something is a linear function, each of the input values will have it's own corresponding y value, therefore c cannot be linear, as -1 and 1 both have 10 as the output.

I hope this helps, but if you need more clarification, please tell me in the comments!

X= ___ Degrees? Will Mark Brainliest, Please Help!!!
solve all attached below for 100 points.

Answers

Answer:

53°

Step-by-step explanation:

A bedroom door in the house has the same
dimensions as the front door, but the length is
30 inches rather than 36 inches. How much greater is
the volume of the front door than the bedroom door?

Answers

The difference in the volume of bedroom door in the house taken the length and width into consideration will be 120 inches³.

How to calculate the bedroom door?

It should be noted that the volume of a door is simply gotten by multiplying the length by width.

Let's assume that the width is 20 inches. Therefore, the difference will be:

= (36 × 20) - (30 × 20)

= 720 - 600

= 120 inches³

Learn more about volume on:

https://brainly.com/question/12410983

Which problem solving strategy would be best to solve this problem?


Your friend's house is 12 miles from your home. Your school is one-third the way from your friend's house and your home. The park is one-fourth the way from the school to your friend's house. How far is the park from your home?

A. guess, check and revise

B. write an equation

C. make a table, chart or list

D. make a model or diagram

Answers

C. Make a table, chart or list

consider the equation 21= m +14 1/6 which which step will help to solve this equation

Answers

Answer:

m = 41/6

Step-by-step explanation:

21 = m + 14 1/6

Convert everything into improper fractions with a denominator of 6.

21 = m + 14 1/6126/6 = 6m/6 + 85/6126 = 6m + 856m = 126 - 856m = 41m = 41/6

PLEASE HURRY! (once more)
A cooler contains three​ colas, seven​ root beers, and three​ ginger ales.​ Three​ people grab a drink at random, one at a time.

a) What is the probability that the first person grabs a cola, the second person grabs a ginger ale, and the third person grabs a cola?

b) What is the probability that the third person grabs a root beer given that the first two grabbed colas?

Answers

Answer:

a) 3/286

b) 7/286

Step-by-step explanation:

We start with 13 drinks. After the first person takes one drink, there are 12 drinks left, After the second person takes one drink, there are 11 drinks available for the third person.

a) From the 13 drinks, there are 3 colas, From the 12 remaining drinks, there are 3 ginger ales. From the 11 remaining drinks, there are 2 colas. We have:

[tex] \frac{3}{13} \times \frac{3}{12} \times \frac{2}{11} = \frac{3}{286} [/tex]

b) From the 13 drinks, there are 3 colas. From the 12 remaining drinks, there are 2 colas. From the 11 remaining drinks, there are 7 root beers. We have:

[tex] \frac{3}{13} \times \frac{2}{12} \times \frac{7}{11} = \frac{7}{286} [/tex]

Find the area of the shaded sector of the circle. Give the exact answer in terms of straight pi.

A circle has a central angle that measures 120 degrees and a radius of 8.


fraction numerator 48 straight pi over denominator 9 end fraction units squared

fraction numerator 64 straight pi over denominator 3 end fraction units squared

fraction numerator 32 straight pi over denominator 3 end fraction units squared

fraction numerator 16 straight pi over denominator 9 end fraction units squared

Answers

The area of the sector that has a central angle of 120 degrees and radius of 8 units is 64π / 3 units²

Area of a sector

The area of a sector is defined as follows:

area = ∅ / 360 × πr²

where

r = radius∅ = central angle

Therefore,

r = 8

∅ = 120°

Hence,

area of the sector = 120 / 360 × π × 8²

area of the sector = 1 / 3 × π × 64

area of the sector = 64π / 3 units²

learn more on area here: https://brainly.com/question/12655272

Can you reflect an angle over the line y = -x? Explain.

O No, there is not a way to map the vertex of the preimage angle to the vertex of the image angle.

Yes, only angles can be reflected over diagonal lines.

O No, you cannot reflect angles over diagonal lines.

O Yes, you can reflect angles, or any object, in the coordinate plane over any line in the plane.

Answers

Answer: Yes, only angles can be reflected over diagonal lines.

Step-by-step explanation:

see photo

39y³(50y² - 98) ÷26y²5y + 7)​

Answers

Answer:

3y5 • (5y + 7)2 • (5y - 7) then solve that which is (3•2y5) • (5y + 7) • (5y - 7) and keep going { 3x−2y=5 & 2x−5y=7

SOLVE FOR X, Y

x=1

y=−1

I hope this helps a little


A toy is on sale for 15%. If the sales price is $79.90, what was the original price?

helpp mee

Answers

Answer:

$94.00

Step-by-step explanation:

First, do [tex]79.9*\frac{100}{85}[/tex]

Then multiply to get your answer of 94.

Yea just checked at the original price is 94.00

15 points possible!!!!!!!!!!!!!!!!!!!! :)

Answers

Answer:

The answer would be 195 Strikeouts

Step-by-step explanation:

You take the number of each x then times by the number on the bottom so in this case, you have 3 15s that would be 45. for the 16s you have 5 so you do this math and you end up with 80 and keep going until you did all of them then add them up and that's your answer.

Let's analyze the data

Three players got 15 strikeouts

Five players got 16 strikeouts

Two players got 17 strikeouts

Two players got 18 strikeouts

Now lets solve:

      Total number of strikeouts = 3 * 15 + 5 * 16 + 2*17 + 2*18

                                                     = 15 + 80 + 34 +36

                                                     = 95 + 70 = 165

Hope that helps!

The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours? A probability distribution has the number of hours on the x-axis and the probability on the y-axis. The probability of 6 hours is 0. 02; 7 hours is 0. 11; 8 hours is 0. 61; 9 hours is 0. 15; 10 hours is 0. 9. 0. 62 0. 78 0. 84 0. 96.

Answers

The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.

How to evaluate the probability of a random variable getting at least some fixed value?

Suppose the random variable in consideration be X, and it is discrete.

Then, the probability of X attaining at least 'a' is written as:

[tex]P(X \geq a)[/tex]

It is evaluated as:

[tex]P(X \geq a) = \sum_{\forall \: x_i \geq a} P(X = x_i)[/tex]

The probability distribution of X is:

        x                      f(x) = P(X = x)

        6                               0.02
        7                               0.11

        8                               0.61

        9                               0.15

        10                              0.09

Worker working at least 8 hours means X attaining at least 8 as its values.

Thus, probability of a worker chosen at random working 8 hours is

P(X ≥ 8) = P(X = 8) + P(X = 9) +P(X = 10) = 0.85 ≈ 0.84 approx.

By the way, this probability distribution seems incorrect because sum of probabilities doesn't equal to 1.

The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.

Learn more about probability distributions here:

https://brainly.com/question/14882721

Express in the form n : 1. Give n as a fully simplified fraction. 10 : 12

Answers

Answer:

[tex]\frac{5}{6}:1[/tex]

Step-by-step explanation:

[tex]10:12[/tex] divide both sides of this ratio by 12 to give a ratio in the form [tex]n:1[/tex]

[tex]\frac{10}{12}:1[/tex] which simplifies to [tex]\frac{5}{6}:1[/tex]

evaluate 8-m/n+ p2 when m=8 n=2 p=7

Answers

hello!

====================================================

let's evaluate this expression

[tex]\pmb{\displaystyle\frac{8-m}{n+p^2} }[/tex]

[tex]\pmb{\displaystyle\frac{8-8}{2+7^2}}[/tex] (step 1)

[tex]\pmb{\displaystyle\frac{0}{2+49}}[/tex] (step 2)

simplify:

[tex]\pmb{\displaystyle\frac{0}{51}}[/tex] (step 3)

[tex]\pmb{0}[/tex] (step 4)

=======================================

note:-

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Which expression is the factorization of x2 10x 21?

Answers

The factorization of the given expression [tex]\rm x^2+10x+21[/tex] is (x+3)(x+7) the option first is correct.

It is given that the expression [tex]\rm x^2+10x+21[/tex]

It is required to find which expression is the factorization of the given expression, the options are:

a) (x + 3)(x + 7)

b) (x + 4)(x + 6)

c) (x + 6)(x + 15)

d) (x + 7)(x + 14)

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

[tex]\rm x^2+10x+21[/tex]

[tex]\rm x^2+7x+3x+21[/tex]  

Breaking 10x into 7x and 3x because the multiplication of 7x and 3x is [tex]\rm 21x^2[/tex] and the addition is 10x.

[tex]\rm x^2+7x+3x+21\\\\\rm x(x+7)+3(x+7)\\\\\rm (x+7)(x+3)[/tex]or

[tex]\rm (x+3)(x+7)[/tex]

Thus, the factorization of the given expression [tex]\rm x^2+10x+21[/tex] is (x+3)(x+7) the option first is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

Nick and his family travel by train to New York City.
The clocks show when the train leaves the station and when it arrives in New York City.

How long is the train ride?

Answers

Answer:4:15

Step-by-step explanation:

EZ

-2x + 1 = 4x + 9
I don’t know what to solve for x?

Answers

Answer:

x = -1.33333333333

Step-by-step explanation:

[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x+1-1=4x+9-1[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-2x=4x+8[/tex]

[tex]\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x-4x=4x+8-4x[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-6x=8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]

[tex]\frac{-6x}{-6}=\frac{8}{-6}[/tex]

[tex]x=-\frac{4}{3}[/tex]

[tex]x=-1.33333333333[/tex]

~Lenvy~

There are a total of 21 marbles in the box. And 5 of the marbles
are black and 6 of them are blue. A single marble is chosen at
random from the box. What is the probability of choosing a
black ball or a blue ball?

Answers

Step-by-step explanation:

there are in total 21 marbles.

5 black, 6 blue = 11 black or blue marbles.

so, the probability of pulling a black or blue marbles is as always desired possible outcomes / total possible outcomes = 11/21

A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet. Find the dimensions of the rectangle

Answers

Given:

A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet

[tex]\\[/tex]

❍Let's assume, Length of rectangle x feet and width of the rectangle x - 5 feet respectively.

[tex]\\[/tex]

To calculate the dimensions of the rectangle we will use the formula of Area of rectangle:

[tex]\\[/tex]

[tex] \: \: \: \: \: \: \: { \underline{ \boxed{ \pmb{ \frak{ Area_{(rectangle)} = Length \times width }}}}} \\ \\ [/tex]

[tex]\\[/tex]

[tex] \underline {\sf{Substituting \: the \: values~ in~ above~formula: }} \\ [/tex]

[tex]\\[/tex]

[tex] : \implies \sf \:x \times (x - 5) = 126 \\ \\ \\ : \implies \sf \:x^2 - 5x = 126 \\ \\ \\ : \implies \sf \:x^2 - 5x - 126 = 0 \\ \\ \\ : \implies \sf \:x^2 - 14x - 9x - 126 = 0 \\ \\ \\ : \implies \sf \:x (x - 14) - 9 (x + 14) = 0 \\ \\ \\ : \implies \sf \:(x - 14)(x - 9) = 0 \\ \\ \\ : \implies { \boxed { \purple{\pmb { \: x = 14 \: \: or \: \: x = -9}}} } \\ \\ \\ [/tex]

We know that side can't be negative. So, x = 14 feet

Hence,

Width of rectangle = x - 5 = 9 feetLength of rectangle = x = 14 feet

[tex]\\[/tex]

[tex] \\ { \underline{ \pmb{ \frak{\therefore Dimensions \: of \: rectangle \: are \: 9~ feet \: and \: 14 ~feet \: }}}}[/tex]

Given that, width of the rectangle is 5 feet less than the length and area of the rectangle is 126 sq. feet, and we are told to find the dimensions i.e the length and width of the rectangle.

As we know that the area of a rectangle is length times it's width, so if we assume our length to be x, so our width is just going to be (x - 5) , and putting it in the area formule we can thus obtain;

[tex]{:\implies \quad \sf x(x-5)=126}[/tex]

[tex]{:\implies \quad \sf x^{2}-5x-126=0}[/tex]

[tex]{:\implies \quad \sf x^{2}-14x+9x-126=0}[/tex]

[tex]{:\implies \quad \sf x(x-14)+9(x-14)=0}[/tex]

[tex]{:\implies \quad \sf (x-14)(x+9)=0}[/tex]

So, here either (x - 14) = 0 or (x + 9) = 0, when you equate both, you will get x = 14 or -9 but as x ≠ -9, so x = 14, and then x - 5 = 14 - 5 = 9

Hence, the required length and width are 14 feet and 9 feet respectively

The speed of the jet Alyssa flew on from Boston to London was 480 mph. on her return flight, the speed of the jet was 600mph with a tail wind. What was Alyssa's average speed on the round trip?

Answers

Based on the speed Alyssa used to get to London and the speed back to Boston, the average speed was 540 mph.

What is the average speed?

The average speed that Alyssa was going can be found by the formula:

= (Initial speed + Final speed) / 2

Solving gives:

= (480 + 600) / 2

= 1,080 / 2

= 540 mph

In conclusion, Alyssa's average speed was 540 mph.

Find out more on average speed at https://brainly.com/question/24739297.

which fraction is between 2/3 and 6/7

Answers

Answer:

For example, 16/21

Step-by-step explanation:

Are there choices?

There is an infinite number of numbers between any two numbers.

2/3 = 14/21

6/7 = 18/21

One example of a fraction between 2/3 and 6/7 is 16/21

16/21 is between 2/3 and 6/7.

The table shows the sales receipt for your purchase.

a) the items with a "t" next to the price are subject to sales tax. what percent sales tax did you pay?






b) calculate the price of the top.





c) the price you paid for the top was 60% of the original price. what was the original price of the top?

Answers

The sales receipt for the purchase includes the sales tax

The sales tax is 6%The price at the top is $7.50The original price at the top is $12.50

How to determine the percent of sales tax?

The sales tax is calculated as:

Percentage sales tax * (Sum of Items subjected to tax) =  Sales tax.

So, we have:

T * (3 + 0.5) =  0.21

Evaluate the sum

T * (3.5) =  0.21

Divide both sides by 3.5

T =  6%

Hence, the sales tax is 6%

The price at the top

The price (p) at the top is calculated using:

p = 13 - 3 - 2 - 0.5

Evaluate the difference

p = 7.5

Hence, the price at the top is $7.50

The original price at the top

60% of the original price (P) is p.

So, we have:

60% * P = p

Substitute 7.5 for p

60% * P = 7.5

Divide both sides by 60%

P = 12.5

Hence, the original price at the top is $12.50

Read more about sales tax and discounts at:

https://brainly.com/question/11648148

Someone help me with this pls

Answers

Answer:

MAYBE

Step-by-step explanation:

Answer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWER

SOORY

find the x-intercept of the following linear equation -2x + 3y = 12

Answers

Answer:

X = 6

Step-by-step explanation:

Hope this helped!!

maybe mark brainiest

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point. y=−x ^2 −8

Answers

Answer:

Step-by-step explanation:

emma really smells bad do not answer this question

help on this please.

Answers

Are you trying to find the blank angle or are you looking for the equivalent of something here is something that might be able to help. I do not know if this answers your questions

Please Help!
In the diagram, secant AP intersects the circle at points A and B, and secant CP intersects the circle at points C and D. The lines intersect outside the circle at point P.
What is the length of AP?
(There are no answer options you must enter the correct value)

Answers

Answer AP might be 12

Step-by-step explanation:

The length of AP when secant AP intersects the circle at points A and B, and secant CP intersects the circle at points C and D. is 12 units.

The length of AP can be found using the following steps:

Draw a radius from the center of the circle to point P.

Let the radius intersect secant AP at point E.

Since AP and PE are secant segments, they share a common external tangent at point P.

Therefore, the two triangles, APE and BPF, are similar triangles.

The ratio of corresponding sides in similar triangles is equal, so:

AP/PB = PE/PF

We know that PB = 5 and PF = 20, so:

AP/5 = PE/20

Solving for AP, we get:

AP = 5 * 20/5 = 20

The diagram shows the two similar triangles, APE and BPF. The two triangles are similar because they share a common external tangent at point P. The ratio of corresponding sides in similar triangles is equal, so we can use the ratio of AP to PB to find the length of AP.

To learn more about length here:

https://brainly.com/question/32060888

#SPJ2

Other Questions
The volume of this right prism is 266.5 ft.What is the height, x, of the prism?Enter your answer as a decimal in the box.x = ft please give me some topics to right an informative essay on. Please help with number 13 only. It is an evolution question. Need ASAP! 3 3/5 + 1 1/6 answer as a fraction Read this line from "the american dream." america is essentially a dream, a dream as yet unfulfilled. which word most strongly appeals to pathos? "america" "essentially" "dream" "unfulfilled" A product has three distinct layers. The most basic layer is the ________, which consists of all the benefits the product will provide for consumers or business customers. The issue Middle Eastern nations have withIsrael stems from what?A. CommmunismB. Nuclear weaponsC. ReligionD. Trade NOT a factor that contributed to the rise of the Japanese empire? A rectangular gymnasium is 50 m long, 25 m wide and 8.0 m high.The density of air is 1.2 kg/m.What is the best estimate of the mass of air in the gymnasium? The Southern Manifesto was a document that declared the intent of -2 (3x -5) -2= 22 - 68 Tim wants to buy soda. He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle. Which statement is true? The 6-pack contains 0.130 liters more soda. The 2-liter bottle contains 0.130 liters more soda. The 2-liter bottle contains 0.645 liters more soda. The 6-pack contains 0.645 liters more soda. The price of a ring was increased by 9% to 1800. What was the price before the increase? Give your answer to the nearest penny. Is Yoga is the most effective outlet for students torelieve stress a strong claim or a week claim Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?Enter your answer in the grid.WHAT IS Z? x 3 +5x 2 32x7 divided by x-4x4 is x^2+9x+4+\frac{9}{x+4}x 2 +9x+4+ x+49 (LOOK CAREFULLY!)badddddddiesssssssss hmuuuuuuuu lulllllllllllllllllllllllllllllllllll What is the equation for finding the amount of inertia in forces and motion? Explain how you solve that equation. How do scientist classify species The molar mass of water (h2o) is 18.0 g/mol. a sample of water has a mass of 18.0 g. how many moles of water are contained in this sample? 1.00 mole 18.0 moles 36.0 moles 324 moles HELP ASAP ITS DUE SOON!!!!!