The formular r= √A/P- 1 gives the interest rater that will allow principal P to grow into amount A in two years, if the interest is compounded annually. Suppose you have 5425
to deposit into an account. Find the interest rate you would need to have $470 in the account at the end of the second year.

Answers

Answer 1

The interest rate is 29.43%

How to determine the interest rate?

The given parameters are:

Amount, A = $470

Principal, P = $5425

The formula of rate is given as:

r= √A/P- 1

Substitute known values

r= √470/5425- 1

Evaluate the difference

r= √470/5424

Evaluate the quotient

r= √0.08665

Evaluate the exponent

r= 0.2943

Express as percentage

r = 29.43%

Hence, the interest rate is 29.43%

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Related Questions

What is the slope of this line?
2/3 1/3 -1/3 -2/3

Answers

Answer:

2/3

Step-by-step explanation:

Two points on this line are (0, -3) and (6, 1).

Going from the first to the second, we see a change in x of 6 units and a change in y of 4 units.  The slope of the line is thus m  = rise / run  =  4/6 = 2/3

If Noreen had let the water run for 2 minutes instead of half a minute, do you think she would still find that she used 320 cups of water during her 10-minute shower

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Answer:3

Step-by-step explanation:

When you square the square root of a number...

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Answer:

the square root of a number is when you take a mole number and multiply it by itself in order to create a bigger number therefore some square roots would be 5 times 5 equals 25 therefore 5 is the square root of 25 so on and so forth

How to transfer 800g to kg​

Answers

Answer: The answer is 0.8

Step-by-step explanation: Every gram is 0.001 of a kilogram

The answer is 0.8 kilograms

Plssss helppppp!!!!!!!!!

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Answer:

it is two because one apple plus one apple equals two

it is 2

two
DUHH
hope this helped :))

Plz Help Cuz it Worth A Hunid Points

Answers

Answer:

1. 30

2. x<-72

3. 7b=63

4. x=3.2

5. 1/10

Step-by-step explanation:

1. Substitute a for 10

2(150/10)

2*15

30

2. Think of it like a normal equation

x/4<-18

x<-18*4

x<-72

3. 7b=63

4. 2.5x=8

x=3.2

5. 1/5*1/2= 1/10

ltfdeyuhcfdgxtsrt867uojl,

Answers

Answer:

2q=8

q=4

Step-by-step explanation:

hope that helped you

Answer:

8q + 1 = 6q + 9

2q + 1 = 9

2q = 8

q = 4

This is a trigonometry question

Answers

Answer:

y = 8.49

Step-by-step explanation:

cos 45 = 6/y

0.7071 = 6/y

y = 8.49

What is the solution of the equation y + 7.63 = 12.001

Answers

Answer:

[tex]y = 12.001 + 7.63 = 19.631[/tex]

Hope it helps

Which equation represents a nonlinear function?
Help please!!!

Answers

Answer:

C

Step-by-step explanation:

A linear equation cannot have a variable as a denominator. So that makes C a non - linear equation. Also, if you graph C, it is NOT a straight line.  

C is the answer to the function

PLEASE HELP

factor 12n^2-n-20

Answers

I hope this is factorization

Answer :(4n+5)(3n-4)

Posting this here because why not, it's not like anybody will do it.

Answers

Answer:

1. 264

2. degree: 6, term: 3xy^5

3. -60x^3-2x^2+9x

4. 6mn^3-4m

5. 8x^3-4x+2

6. -x^2-6x-13

Step-by-step explanation:

laura has a toy robot collection 4/7 of her robots makes noise how many of lauras robots make noise?

Answers

Answer:

16 robots make noise

Step-by-step explanation:

Simplify the expression please!!

4( -2p + 8)

Answers

the answer is -8p+32

(11 – 9)' – 2 x 4=
Please help

Answers

Answer: 2 − 8x

Step-by-step explanation:

The answer is -6 (negative Six)

Find the greatest common factor of 8m and 12m^3

Answers

the greatest common factor is 4

Katrin is making a poster for school elections. She draws a line 20.4 centimeters long across the poster board. She starts at one end of the line and makes a mark every 3.4 centimeters along it. She plans to write the letters of her name in the spaces between the marks. Will Katrin make enough spaces for each letter of her name to go in one space? Explain how you know.

Answers

I wish I could help, but I do not know. Just trying to get points

Solve the equation
(x/x+2) - (4/x-2) = 1

Answers

Answer:

           [tex]\bold{x=-\dfrac23}[/tex]

Step-by-step explanation:

[tex]\dfrac x{x+2}-\dfrac4{x-2}=1\qquad\qquad\qquad x\ne2\ \wedge\ x\ne-2\\\\\\ \dfrac {x(x-2)}{(x+2)(x-2)}-\dfrac{4(x+2)}{(x-2)(x+2)}=1\\\\\\ \dfrac {x^2-2x-4x-8}{x^2-4}=1\\\\ \\\dfrac {x^2-6x-8}{x^2-4}=1\quad\iff\quad x^2-6x-8=x^2-4\\\\x^2-6x-8=x^2-4\\\\-6x-8=-4\\\\-6x=4\\\\x=-\frac46\\\\x=-\frac23[/tex]

The solution to the equation is x = -2/3.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

The given equation is  [tex]\frac{x}{x+2}-\frac{4}{x-2}=1[/tex].

Solve the equation as follows:
[tex]\frac{x}{x+2}-\frac{4}{x-2}=1\\\\\frac{x(x-2)-4(x+2)}{(x+2)(x-2)}=1\\\\\frac{x^2-2x-4x-8}{x^2-4}=1\\\\x^2-6x-8= x^2-4\\\\-6x = 8-4\\\\6x = -4\\\\x=-\frac{2}{3}[/tex]

Hence, the solution to the equation is x = -2/3.

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You earned a 90% on a test if there are 30 questions how many did you answer correctly?

Answers

30 / 10 = 3 , this gives you 10%. Now you need to multiply this by 9. This gives you 27.

You got 27 questions correct

Hope this helps

Answer:

27

Step-by-step explanation:

you can do cross multiplication

90/100 = x/30

100x=2700

x=27

There are 5 white roses to every 9 red roses in the garden

Answers

Answer:

Step-by-step explanation:

ummm what there is no question!

HELPPPPPPPPPP

The point (-10,4) is on the graph of which of these functions? Select ALL that apply.​

Answers

3 Answers: Choice B, choice D, choice E.

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

Explanation:

We'll plug x = -10 into each equation shown. If we get y = 4 as an output, then it is one of the answers.

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

A)

y = -x^2 + 6

y = -(-10)^2 + 6

y = -100 + 6

y = -94

We don't get y = 4, so we cross choice A off the list.

The point (-10,4) is not on y = -x^2+6. Instead, the point (-10,-94) is.

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

B)

y = (-1/2)*x - 1

y = (-1/2)*(-10) - 1

y = 5 - 1

y = 4

We can see that x = -10 leads to y = 4. The point (x,y) = (-10,4) is on the line. Choice B is one of the answers.

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

C)

y = (-1/10)*x - 3

y = (-1/10)*(-10) - 3

y = 1 - 3

y = -2

Choice C is not one of the answers since we want y = 4 as an output. So we can cross choice C off the list.

The point (-10,-2) is on the line instead of (-10,4)

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

D)

y = (1/10)x + 5

y = (1/10)*(-10) + 5

y = -1 + 5

y = 4

Choice D is one of the answers

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

E)

y = (1/5)*x^2 - 16

y = (1/5)*(-10)^2 - 16

y = (1/5)*(100) - 16

y = 20 - 16

y = 4

Choice E is one of the answers

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

An alternative method is to graph each equation and see if (-10,4) is on the curve or not. See the diagram below. Only choices B, D and E have (-10,4) on their respective curves.

What is the surface area for the figure? PLEASE HELP

Answers

Answer:

516 cm squared

Step-by-step explanation:

To find the surface area of a rectangular prism such as this, is basically just like finding the OUTSIDE surfaces. We are looking for the "perimeter" of a 3D shape.

How do we do it?

Calculate each face of the prism by multiplying Length x Width.Make a shortcut by combining like-figures (front of the cube and back of the cube are the same surface areas, etc.)Make your formula

2(4 · 15) + 2(10 · 15) + 2(12 · 4)

Solve the equation: -29.5u+548=2,023

Answers

Answer:

U=-50

Step-by-step explanation:

I need help with this! I would like to have this answered in 5 hours if possible, 6 hours at max ​

Answers

Answer:

60 = 45 + t

Step-by-step explanation:

Saved $500 from his summer job so he would have spending money during the school year. He withdraws $12 from his account each week so a linear function models his plan. Mellissa made a similar plan. Compare the transactions

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Savings = \$500[/tex]

[tex]Withdrawal = \$12[/tex] weekly

Required

The question is incomplete as the linear function or table or graph of Melissa's plan is not given.

The available details can only be used to solve the function of the given individual

Let the number of weeks be w.

So: the amount left in w weeks is:

[tex]Amount = Savings - Withdrawal * w[/tex]

[tex]Amount = 500- 12* w[/tex]

[tex]Amount = 500- 12w[/tex]

Represent as a function

[tex]f(w)= 500- 12w[/tex]

To solve the amount left at the end of a certain week (say week 5), simply substitute 5 for w in [tex]f(w)= 500- 12w[/tex]

[tex]f(5) = 500 - 12 * 5[/tex]

[tex]f(5) = 440[/tex]

A scientist is growing bacteria. The number of bacteria cells doubles every week. The scientist begins with 30 cells. Write an expression to find the number of cells after x weeks .

Answers

Answer:

2x+30

Step-by-step explanation:

What is the range of f(x) = 2(x+3)^2 + 1?

Answers

Answer:

Range: [1, ∞)

Step-by-step explanation:

[tex]f(x)=2(x+3)^2+1[/tex]

Range: [1, ∞)

Explain why the graph above represents a function.

Answers

we do not see a graph above

what is 5/9(fraction) turned into a decimal rounded to the nearest hundredth

Answers

Answer:

It will be 0.5 repeating so 0.555 because the 5 is repeating

9514 1404 393

Answer:

  0.56

Step-by-step explanation:

5/9 is the repeating decimal fraction 0.55555...

Rounded to the nearest hundredth, it is ...

  5/9 ≈ 0.56

geometry, god bless ur help!

Answers

Answer:

15 CM

Step-by-step explanation:

Both sides are same length proven by the same angles making botrh sides 15 cm

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