1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Verdich [7]
3 years ago
6

Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,00

0 in 4 years. What must his principal be? Round your answer to the nearest cent. Do not round at any point in solving process; only round your answer. Please help ASAP!! Thank you so much!
Mathematics
1 answer:
Tatiana [17]3 years ago
4 0

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount after 't' years.

P is the principal amount

n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

Amount, A = $15000

Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88

So, <em>the principal must be = $8991.88</em>

You might be interested in
Help? i'll mark brainliest if correct
Strike441 [17]

Answer:

36,686

Step-by-step explanation:

5.88 x 12 over 10 = 240

240 x 26 = 36,686

5 0
3 years ago
The gift shop at manatee mall was having a clearance sale. Everything was marked down 30%. The original price of a manatee hat w
sergeinik [125]

Answer

Find out the what is the clearance price of a manatee.

To prove

As given

The gift shop at manatee mall was having a clearance sale.

Everything was marked down 30%.

The original price of a manatee hat was $12.

30 % is written in the decimal form.

= \frac{30}{100}

= 0.30

30% of the original price of a manatee = 0.30 × 12

                                                                 = $ 3.6

Clearance price = original price - 30% of the original price

                          = 12 - 3.6

                        = $ 8.4

Therefore the clearance price be $8.4 .

3 0
3 years ago
Find the value of y and z.
My name is Ann [436]

Answer:

z= 125 because they are congruent and y = 55 because they are congruent

I hope this is good enough:

3 0
3 years ago
“x” means what in math equations? I’m not the best at math :/
tino4ka555 [31]

Answer:

X is just the variable or missing edge, side, angle .etc that you are looking for

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
 Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
inysia [295]
No



For future reference: When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
4 0
2 years ago
Read 2 more answers
Other questions:
  • Perpendicular to y = 3x + 4 through (0, -2)
    5·1 answer
  • The question and the numbers for the equation are confusing ::
    6·2 answers
  • Pls help ahh I suck at ka ty
    8·1 answer
  • Identify the similar triangles. then find the measure pleasee *its due today at 1:05*​
    5·1 answer
  • Carter has 123 songs on a playlist. He's categorized them in the following manner: 11 gospel, 25 country, 21 blues, 6 folk, 16 p
    7·1 answer
  • Find small changes in cube's volume when its side increses from 10 cm to 10.1 cm
    10·2 answers
  • HELP PLEASE I'll mark you brainliest
    6·2 answers
  • In the equation 3' = n, John claims that for any value of x, the value of n will always be greater
    9·1 answer
  • Hello I need help with this, Don Manuel has 600m of fence to build a rectangular-shaped corral. You will take advantage of a ver
    8·1 answer
  • Idenify patterns using a ?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!