How to solve for P in a compound interest formula?

Answers

Answer 1

Calculation. Formula.

P (1 + r/n)^(nt)

Calculate accrued amount. Principal + Interest. A = P(1 + r)t

Calculate principal amount. Solve for P in terms of A. P = A / (1 + r)t

Calculate principal amount. Solve for P in terms of I. ...

Calculate rate of interest. As a decimal. ...

Calculate rate of interest. As a percent. ...

Calculate time. Solve for t.

Answer 2

The solution for P (Principal amount) in a compound interest Formula is; P = A/(1+ r)^t.

Changing the Subject of a formula

By convention, the formula for calculating the compound interest is;

A = P(1 + r)^t

On this note, it follows that; the principal amount, P can be calculated by dividing both sides of the equation by the expression; (1+ r)^t.

Ultimately, the solution for P is; P = A/(1+ r)^t.

Read more on subject of the formula;

https://brainly.com/question/24924853


Related Questions

You have read 25 pages of a book. You plan to read an additional 10 pages each night. Write the explicit formula to represent the number of pages you will read after n nights.

Answers

Answer:

p=10n+25

Step-by-step explanation:

Let's have p represent the number of pages you will read. If you read 10 pages per night, then you are multiplying 10 by the number of nights, which gives you 10n. Because you have already read 25 pages, you want to add to the 10n to give you the equation of p=10n+25

Answer:

Pages= 25 + 10n

Step-by-step explanation:

Since the starting point is 25, that remains constant. 10n represents 10 pages per night.

write 0.001574 in scientific notation

Answers

Answer: 1.574 × 10-3

Step-by-step explanation:

To convert 0.001574 into scientific notation, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 1.574 × 10-3

Answer:

0.001574 in scientific notation  is 1.574 × 10^-3

Step-by-step explanation:

All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.

To convert 0.001574 into scientific notation, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 1.574 × 10^-3

Therefore, the decimal number 0.001574 written in scientific notation is 1.574 × 10^-3 and it has 4 significant figures.

Hope this helped!!!

For all values of x, f(x) = 2x-3 and g(x) = x^2 + 1 a) Find fg(x) Simplify and give your answer in the form ax^2 + b b) Find gf(x).

Answers

Answer:

fg(x) = 2x² - 1

gf(x) = 4x²-12x +10

Step-by-step explanation:

Given the functions f(x) = 2x-3 and g(x) = x^2 + 1

a) f(g(x)) = f(x²+1)

f(x²+1) = 2(x²+1) -3

f(x²+1)= 2x²+2 -3

f(x²+1) = 2x² - 1

fg(x) = 2x² - 1

Hence function fg(x) is 2x² - 1

b) gf(x) = g(2x-3)

g(2x-3) = (2x-3)² + 1

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

g(2x-3) = 4x²-6x-6x+9 + 1

g(2x-3) = 4x²-12x +10

gf(x) = 4x²-12x +10

Bob order 151/2 pound of cherrys fron the farm,this year they want to order 1 1/4 more pound but then 2/5 of the order they want blue berrys what is the percent

Answers

Answer:

Percentage of cherries    = 60 %

Percentage of berries  = 40 %

Step-by-step explanation:

He orders  15 1/2 pounds every year.

He wants more=  1 1/4 pounds

So the total pounds = 15 1/2 + 1 1/4

                                 = 15 + 1 + 1/2 + 1/4

                                 = 16 + (2+1)/4

                                  =   16 + 3/4

                                  = 16 3/4 pounds

Out of 16  3/4 pounds they want 2/5 part to be of blue berries.

So blue berries = 16 3/4 * ( 2/5)

                          = 67/4 * ( 2/5)

                            = 67/10 = 6 7/10 pounds

Amount of cherries= 16  3/4- 6 7/10

                                 = 10 3/4- 7/10

                                  = 10 (15- 14)/20

                                   = 10 1/20 pounds

Percentage of cherries = Amount of cherries/ Total amount * 100

                                      = 201/20 / 67/4 *100

                                         = 201/20 * 4/67 *100

                                         = 201/335 *100

                                          = 60 %

Percentage of berries = 100- 60 = 40 %

A landing pad for a helicopter is in the shape of a circle with a radius of
7 meters. Which of the following is
closest to the area of the landing pad?
A. 44 square meters
B. 154 square meters
C. 205 square meters
D. 308 square meters

PLEASE NO LINKS!

Answers

Answer:

154 m^2

Step-by-step explanation:

Area of a circle:  A = (pi)(radius)^2

Here, r = 7 m, so A = (3.14)(7 m)^2 = 154 m^2

Help on these please

Answers

All the triangles have 180° total angle measurement.

First question:

114 + 37 + x = 180°

151 + x = 180

x = 180 - 151

x = 29°

Second question:

93 + 46 + x = 180

139 + x = 180

x = 180 - 139

x = 41°

Answer:

In the first question x=29 Because the interior of a triangle adds up to 180.So you will add 114+37=151 , 180-151=29

The second question 93+46=139

180-139=41

x=41

Pls help. Due in 5 mintues pls.

Answers

It would be 18 days because you would have to look at the factors of 6 and 9. 6 times 3 is 18 and 9 times 2 is 18. Both have 18 in common in the first 2/3 numbers. Hopefully this makes sense.

A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular faces need to be repainted. If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn? Enter your answer in the box.

PLS help me I'm DESPERATE
its 100 points so it will be worth it

Answers

Answer:

23 gallons

Step-by-step explanation:

The area of the 4 exterior walls:

A = 2(38 + 84)*20 = 4880 ft²

The area of the 2 triangular faces:

A = 2*1/2*38*12 = 456 ft²

Total area to be painted:

4880 + 456 = 5336 ft²

Paint required:

5336 / 232 = 23 gallons

Do these three sides make a triangle? Is it unique? 1.4 miles, 1.8 miles, and 4.5 miles

Yes, it is a triangle and it is unique.

Yes, it is a triangle, but it is not unique.

No, it does not make a triangle.​

Answers

Answer:

No It Is Not A Triangle

Step-by-step explanation:

To be a triangle the 2 shorter sides have to add up greater than the longest side, 1.4+1.8=3.2 which is not grater than 4.5

HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP


Answers

Answer:

B

Step-by-step explanation:

Answer:

B is the correct answer.

hope it helps my friend.

plz mark me as brainliest if you want.

no files plssssssss!

Answers

Answer:

Your answer is the first option, (2,-1).

Step-by-step explanation:

All you have to do is plug the (x,y) values into both equations, then solve and see if they're true.

For the first equation, plug x (aka 2) and y (aka -1) into the places they belong.

2x + y = 3 would become 2(2) + (-1) = 3 after putting the values in the right spots.

Solve.

2(2) = 4.

4 + (-1) = 3

3 = 3.

That means that (2,-1) is the solution for the first equation, however it also needs to be true for the second. Do the same thing and plug the values in their designated spots.

y = x - 3 will become -1 = 2 - 3.

2 - 3 = -1.

So you're left with:

-1 = -1, which means again that (2,-1) is also the solution for that equation.

__________________________________________________________

If you have any questions about any of the process here, ask in the comments of this response and I'll help you out.

Please Help Me!
The table lists the steps to construct a tangent to circle P through point T. Drag the steps so they are in order.

Answers

Answer:

The answer is already in the correct formation, there is nothing to change.

Answer:

 the person above is right.

The relationship between the number of pounds (lb) of trail mix and the price
in dollars is shown in the graph. What is the unit price of trail mix?


A. 1 lb/$8
B. $8/1 lb
C. $1/8 lb
D. $16/2 lb

pls answer quickly since this is a quiz :)) picture included above

Answers

i think it should be B, let me know if it’s right

Find a third-degree polynomial equation with rational coefficients that has roots 4 and 6 + i.
a. x^3 - 8x^2 - 11x + 148 = 0
b. x^3 - 8x^2 - 12x + 37 = 0
c. x^3 - 12x^2 + 37x = 0
d. x^3 - 8x^2 - 11x = 0

Answers

Answer:

I would say A.

Step-by-step explanation:

Solve this equation
√x - 7= √x - 7​

Answers

Answer:

Search on mathaway

Step-by-step explanation:

Just use photomath lollll

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.

Answers

hhh

Step-by-step explanation:

The answer is 1.5. This is because we know since the shapes are similar you are going from 6 to 9 since they are on the same side. Thus, you have the equation 6y = 9 where y is the scaling factor. Solving for y, you get y=1.5

Flora drew the following graph to answer the question. What was her mistake when she drew her graph? (NO LINKS)

Answers

Answer:

Her elevation went down too quickly, if she is going down 300 ft per hour at a constant rate, at 1 hour, she should be at 2700 feet. It should take her about 10 hours to get down the mountain.

Cookies cost $3.50 per package. How many packages of cookies can Gail buy if she has \$42 .00? Write an equation and solve.

Answers

Answer:

Solve: 12 packagesEquation: n = $42.00¢

Step-by-step explanation:

Given

1 package = $3.50¢

∴, ? package = 42.00¢

Equation

Identify the variable. Let n be the variables, then, the equation is: n=$42.00¢

Solve

Since 1 is 3.50

To find 42.00

Divide 42.00 by 3.50

42.00 ÷ 3.50 = 12

Therefore, Gail can buy 12 packages with $42.00¢

On your last credit card statement, you had a previous balance of $567.18, payments of $120, a periodic rate of 1.56 percent, and new charges totaling $45.17. What is your new balance?

$288.29
$447.18
$499.33
$567.18​

Answers

I’m pretty sure it’s choice 3

Answer:

$499.33

Step-by-step explanation:

Verified correct with test results.

two cords.
AD=92 and BC=140
What does m

Answers

Do you have a visual I can go based off of?

The function m is given in three equivalent forms. Which form most quickly reveals the vertex

Answers

Answer:

m (x) = -2(x-6)^2 +18

Step-by-step explanation:

Plz help me!!! Giving brainliest if someone else answers it. I put 2 questions

Answers

Answer:

1) C

2) A

Hope it Helps!

:)

Identify fractions greater than 3/5

Answers

not sure on the options but any fraction that when you divide is greater than .6 ( divided 3/5) would work!

How long is a string reaching from the top of a 13-ft pole to a point on the 3 points ground that is 7 ft from the base of the pole?

Answers

Answer:

14.76 ft

Step-by-step explanation:

L²= 13² + 7²

L² = 169 + 49 = 218

L = √218 = 14.76 ft

Answer:

14.8

Step-by-step explanation:

We use the Pythagoras theorem because the string and the pole are making a right angle triangle

7^2+13^2=c^2

49+169=c^2

218=c^2

14.8=c

shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on saturday he earned at least $160 in all.Write an inequality and find the minimum number of hours to the nearest hour

Answers

Answer:

Write the equation of each inequality. 5. 6 ... What are the smallest values of consecutive integers that will make this true. ... Stan earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday evening. He needs to earn $160 in all. To the nearest hour, what is the least number of hours Stan.

Step-by-step explanation:

Inequalities Exit Ticket Shaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday. He earned at least $160 in all. Write an inequality and find the minimum number of hours, to the nearest hour, ... additional $100 in tips waiting tables on Saturday He earned at least $160 in all

The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.

Given that, Shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday he earned at least $160 in all.

What is a inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of hours be x.

Now, 7.55x+100≥160

Subtract 100 on both the sides of inequality, that is

7.55x+100-100≥160-100

⇒ 7.55x≥60

Divide 7.55 on both the sides of inequality, that is

7.55x/7.55 ≥ 60/7.55

⇒ x ≥ 7.94

7.94≈8

The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.

To learn more about the inequality visit:

https://brainly.com/question/20383699.

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Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?

Answers

Answer:

Each piece of cloth is (1/12) of a yard long.

Step-by-step explanation:

Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.

To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.

This is:

length = [tex]\frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5} = \frac{1 }{12} yd[/tex]

This means that the length of each piece of cloth is (1/12) of a yard long.

Answer:

1/12 trust,

because yes. >3

2022 / 2023

It is customary to leave a 15% tip for a waiter/waitress. Suppose your meal costs $22.50, What would you tip the wait person? How much totalwould you pay for the meal?

Answers

Answer:

$25.88

Step-by-step explanation:

Given data

Cost of meal= $22.50

Tip= 15%

Let us find 15% of $22.50

=15/100*22.50

=0.15*22.50

=3.375

Hence the amount you would pay in total is

=3.375+22.5

=$25.88

-3|-6+7|=
Can someone help me with that pls?

Answers

Answer:

the answer is -3

Step-by-step explanation:

2 cups of coffee and 3 cops of tea cost £10.10
Three cups of coffee and 3 cups of tea cost £15.10 work out how much one cup of coffee is and one cup of tea is

Answers

Answer:

Fard

Step-by-step explanation:

Hehe funi

Since we have the same cups of tea and one less coffee you just have to do 15.10 - 10.10 which is 5 euros, which means that one cup of coffee is 5 euros and one cup of tea is 3 cents. (Or whatever you use for uk)

please help


dgfhkcgfkgnglhgdh

Answers

A. There are 14 hard candies in total and 45 foods all together therefore the answer is 14/45
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