Ruby has saved $4072.24 towards her retirement by the time she is 26 years old. She initially invested $2500 in an account that earned interest compounded annually. If Ruby made the investment on her sixteenth birthday at what rate has the account been earning interest?

Answers

Answer 1

At 5% rate the account been earning interest.

Given that Ruby has saved $4072.24, and she initially invested $2500, we can plug in these values into the formula:

4072.24 = 2500(1 + r/1[tex])^{(1 )(10)[/tex]

Simplifying the equation, we get:

(1 + r)¹⁰ = 4072.24/2500

Taking the 10th root of both sides, we have:

1 + r = (4072.24/2500[tex])^{(1/10)[/tex]

Subtracting 1 from both sides, we find:

r = (4072.24/2500[tex])^{(1/10)[/tex]- 1

r = 1.05000008852 - 1

r = 0.05000008852

r = 5%

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Related Questions

What is the value of x? ​

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

c = x

x^2 = a^2 + b^2

x^2 = 24^2 + 7^2

x^2 = 576 + 49

x^2 = 625

x = 25

HELP! 6th grade work due today pleaseeeeee

Answers

Answer:

s = 5 feet

Step-by-step explanation:

.................

7) A coat is selling for 3/4 of the original price. The sale price is $180. Write and solve
an equation to determine what the original price of the jacket is.

Answers

Answer:

$240

Step-by-step explanation:

Original price: p

discount 25% (multiplier: 0.75)

sale price: $180

p x 0.75 = 180

p = 180/0.75

p = 240

write an equation in slope intercept form for the line that travels through (1,-2) and (6,8)

Answers

Answer:

y=2/1x

Step-by-step explanation:

Subtract (6,8) by (1, -2)

8--2/6-1=10/5

Simply

10/5=2

Plug in

y=2x

-2(3x-4)+3x=17 solve for x

Answers

x=-3

-6x + 8 + 3x = 17

-3x + 8 = 17

-3x = 17 - 8

-3x=9

x=-9/3

x=-3

Tommy buys a football for $20 plus 8% tax John buys a helmet for $25 plus 8% tax what is the difference in the amount Tommy and John paid including tax

Answers

Answer:

$5.40

Step-by-step explanation:

First, figure out the cost of the items with tax; for Tommy we have 20*0.08 = 1.6, add that 1.6 to the 20 and his purchase is $21.6, for John we have 25*0.08 = 2, add 2 to his 25 and his purchase is $27. To find the difference we subtract 27-21.6 = 5.4 or $5.40

Evaluate 3n + 4^2 when n = 2

Answers

Answer:

22

Step-by-step explanation:

3n + 4^2

n = 2

3(2) + 4^2 = 6 + 16 = 22

Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
5
A. (x + 1)(x - 7)
B. (x + 1)(x + 7)
C. (x - 1)(x - 7)
D. (x - 1)(x + 7)

Answers

Answer:

The answer is

(x-1) (x-9)

The factored form of the related polynomial function is    [tex](x-1)(x+7).[/tex]

What is polynomial function ?

Polynomial function is a function that involves non-negative integer powers or positive integer exponents of a variable in an equation like the quadratic equation, cubic equation.

We have,

In the graph given in question, we can see that [tex]x-[/tex]intercepts the axis twice.

And graphs behave differently at various [tex]x-[/tex]intercepts. Sometimes the graph will cross over the [tex]x-[/tex]axis at an intercept and other times the graph will touch the [tex]x-[/tex]axis and bounce off.

Now, in graph;

The [tex]x-[/tex]intercept at [tex]x=1[/tex], i.e. the solution of the [tex]x-1=0[/tex] and passes through the axis.

Now,

The [tex]x-[/tex]intercept at [tex]x=7[/tex]  is the solution of [tex]x-7=0[/tex] and again passes through the axis.

So, from the above statements we can say that the factored form of the related polynomial is [tex](x-1)(x+7).[/tex]

Hence, we can say that the factored form of the related polynomial function is    [tex](x-1)(x+7).[/tex]

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Which expression can be used to solve 3/5 ÷ 7/10. A. 5/3×7/10 B. 5/3×10/7 C. 3/5×10/7 D. 3/5×7/10

Answers

Answer:

3/5 * 10/7

Step-by-step explanation:

To solve division of fractions

3/5 ÷ 7/10

Use copy dot flip

3/5 * 10/7

Answer:

C) 3/5 x 10/7

Step-by-step explanation:

the perimeter if a square is 60 feet, then find the length of the diagonal. if necessary, round to the nearest tenth.

a). 21.2
b). 15
c). 450
d). 30​

Answers

B Perimeter is the sides added up together there for 60÷4 = 15

Answer:

a). 21.2

Step-by-step explanation:

square has 4 sides

one side = 60÷4 = 15

Use pythogoras theorem to find the hypotenuse thus the diagonal of the square.

x = √(15² + 15²)

x = √(225 + 225)

x = √450

x = 21.21 (2 dp)

What is the difference between -2^4 and (-2)^4

I know the answer but how do you explain it?

Answers

Answer:

no difference

When you multiply negative numbers together an even number of times, they change from negative to positive.

Step-by-step explanation:

The length of a bed would be about

Answers

Answer:

2 yards.

Step-by-step explanation:

We know that a length of a bed is DEFINITELY not 2 miles, and it isn't 2 inches either, because they're both too big and too small. However, 2 feet is also pretty small, too, because 2 feet is about the size of a crib. So what's left is 2 yards, so a bed is about 2 yards.

Answer:

2 yards

Step-by-step explanation:

The question is asking what the length of a bed would be.

To answer this question, it's basically common sense, how long is a bed usually, it would be about 5 to 10 feet, big enough to fit a human with no uncomfortability.

So with this info, we can scratch D and B. As for A and C, let's convert them into feet.

1 yard equals 3 feet, meaning two yards would be 6 feet.

1 mile is 5280 feet, this is obviously wrong.

A is our answer.

Can someone help me.

Answers

Answer:

A.5,683.0000

B. 1,289,293.0000

C.3,567,920.0000

Step-by-step explanation:

Which of the following best describes the equation below? y = 5x2 - 7 A. neither linear nor nonlinear B. linear C. both linear and nonlinear D. nonlinear

Answers

Answer:

D

Step-by-step explanation:

the answer is

Nonlinear

What is the slope of the line?
y + 2 = -2 ( x - 3 )
A: -1/2
B: -2
C: 1
D: -1

Answers

D:) o b what ? you very whell

Step-by-step explanation:

A b. d. c

Answer:

The answer is -2

Step-by-step explanation:

I got this answer on Khan Academy.

Hope this helps! :)

Jessica and her friends have gone to dinner. When they finished eating their bill came to $82. Jessica decided that she wanted to give a 19% tip

Answers

Answer:

97.58

Step-by-step explanation:

Answer: D $15

Step-by-step explanation:

compare by using < > or = between the pairs of numbers l - 8l ____ l2l


here are 15 points if you help me lovely person ;)

Answers

Answer:

It is >

Step-by-step explanation:

because the absolute value of -8 is 8 and the absolute value of 2 is 2 so 8 is bigger than 2

need help with this ​

Answers

9514 1404 393

Answer:

f(-2) = 2f(0) = 4

Step-by-step explanation:

a) Locate the point -2 on the x-axis. Follow the line up until it meets the blue curve. Follow that grid line to the right to see where it meets the y-axis. It is y=2. That means f(-2) = 2.

__

b) Locate y=4 on the y-axis. Notice that the curve intersects the y-axis there, so x=0.

x = 0 is the only value of x for which f(x) = 4.

Help, I'm bad at math XD

Answers

1. x = 28

2. x = 13

3. x = 11

4. x = 50

5. x = 53

6. x = 77

7. x = 5

8. x = 70

Solve the following equation for p. Select all possible solutions. | p/2-1 |= 0.5
0.5
4
2
3
1
5

Answers

Answer:

4

Step-by-step explanation:

I need help ASAP pleaseeeeee

Answers

Answer: area of smaller is 18 and larger is 45 so the answer is 27

Step-by-step explanation:

Estimate 0.95% of 700

Answers

Answer:

6.65

Step-by-step explanation:

0.95% of 700

= 0.0095*700

= 6.65

The value of 0.95% of the number 700 is 6.65.


What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number 700 is 0.95%. The number will be calculated as below,

Number = 0.95% of 700

Number = 700 x 0.95/100

Number = 6.65

Therefore, the value of 0.95% of the number 700 is 6.65.

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perfect adjective word chain​

Answers

Answer:

Tall, light, test, treat.

I think this ans may help you

In ΔSTU, u = 40 inches, ∠S=73° and ∠T=71°. Find the length of t, to the nearest inch.

Answers

Answer: 64 inches

Step-by-step explanation: Solve using sohcahtoa for missing info

choices
3/4
3/5
5/4
4/5​

Answers

Answer:

4/5

Step-by-step explanation:

sine is opposite over hypotenuse,

so it's 40/50=4/5

4/5
Hope this helps

Running at 5 miles an hour how long will it take you to go 12 miles

Answers

Answer:

2 hours and 24 minutes.

approximately 2 hours and 15 minutes

please answer as fast as u can ​

Answers

Hey dude, I'm not completely sure but I think the answer's 30°.

Can you conclude that these triangles are congruent?

Answers

Answer:

yes

Step-by-step explanation:

each side is length by with so you can tell these are congruent

Answer:

Yes

Step-by-step explanation:

The reason is because the marks in all of the angles mean the angles are congruent. If the angles match up (1 mark, 2 marks, 3 marks, etc.) then the triangles are congruent.

Henry drove 567 miles in 9 hours. At the same rate, how long would it take him to drive 315 miles?

Answers

Answer:

in one hour = 567÷9

= 63

hence, to drive 315 miles he would need = 315×63 hours

divide yourself my dear friend.

Was it helpful?

comment down

If there is any kind of suspicious mistake

then sorry

Answer:

5 hours.

Step-by-step explanation:

567/9 = 63mph

315/63 = 5

A 15-ft by 15-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 304 ft^2, how wide is the walkway?

Answers

Answer:

4 ft = width of walkway

Step-by-step explanation:

It helps if you can draw a figure.

Let x = width of walkway

Length of pool + walkway = (2x + 15)

Width of pool + walkway = (2x + 15)

area of pool and walkway together = (2x + 15)(2x + 15) = [tex]4x^{2} = 60x + 225[/tex]

Area of the pool = 15(15) = 225

Now,

The area of the walkway = area of pool and walkway together - area of pool

304 = 4[tex]x^{2}[/tex] + 60x + 225 - 225

304 = [tex]4x^{2}[/tex] + 60x

4[tex]x^{2}[/tex] + 60x - 304 = 0

4([tex]x^{2}[/tex] +15x - 76) = 0

4(x - 4)(x + 19) = 0

x = 4    x = -19

-19 must be discarded because a length cannot be negative

Therefore x = 4 ft = width of walkway

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