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
VARVARA [1.3K]
3 years ago
15

Charlotte purchased a pool for $7,680 using a six month deferred payment plan with an interest rate of 20.45%. she did not make

any payments during the deferment period. what will Charlotte's monthly payment be if she must pay off the pool within three years after the deferment period?
Mathematics
1 answer:
sveta [45]3 years ago
6 0

There are many ways to solve this question. The basic idea is to assume that Charlotte makes a monthly payment of x and equate the amount she pays to the amount she owes, after adjusting both amounts with interest to be at the same point of time. In the following, we equate the amounts at the end of the term. 
 
 Initially, Charlotte owes $7680. She finishes her payments after a total of 6 + 36 = 42 months. Using a simple compounding formula, the amount she owes is worth P at the end of 42 months, where P is: 
 
 P = 7680 * (1 + .2045/12)^42 = 15616.67379

 Now, the first installment she pays (at the end of six months) is paid 35 months in advance of the end, so it is worth x * (1 + .2375/12)^35 at the end of her loan period. 

 Similarly, the second installment is worth x * (1 + .2375/12)^34 at the end of the loan period. 

 Continuing, this way, the last installment is worth exactly x at the end of the loan period. 

 So, the total amount she paid equals: 
 x [(1 + .2375/12)^35 + (1 + .2375/12)^34 + ... + (1 + .2375/12)^0] 

 To calculate this, assume that 1+.2045/12 = a. Then the amount Charlotte pays is: 
 x (a^35 + a^34 + ... + a^0) = x (a^36 - 1)/(a - 1) 
 Clearly, this value must equal P, so we have: 
 x (a^36 - 1)/(a - 1) = P = 15616.67379
 Substituting, a = 1 + .2045/12 and solving, we get 
 x = 317.82

You might be interested in
What is the answer extra help before 12:00am
Elanso [62]
The answer of the question is 75 
4 0
3 years ago
Read 2 more answers
PLEASE HELP will give 99 points.
Yuri [45]
The answer is 90 + 45 because BOC is a right angled triangle where angle BOC is 90 and angle BOK is 45 because 90 ÷2. A OK Is a right angled triangle so angle AOB is 90 as well so to find angle AOK we plus 90 and 45 which is 135 degrees.
8 0
3 years ago
Read 2 more answers
Rectangle area w algebra<br> step by step explanation please :)
Natalija [7]

We know that the area is 20.

Since 20 is a small number: lets list out possible combinations of lengths and widths.

1 * 20

2 * 10

4 * 5

L = 7 + 3w

lets see which on makes sense.

L = 7 + 3w

20 = w7 + 3w^2

3w^2 + 7w -20 = 0

(3w - 10)(w - 2)

w can equal 10/3 or 2.

So the dimensions: are Width = 2 Length = 10

8 0
2 years ago
Simplify (3×22)÷6+(28-(4)2=
polet [3.4K]
(3*22)divide 6 + (28-(4)2=
31
5 0
2 years ago
What is the answer to this question?
steposvetlana [31]

Answer:

48x - 40y +24

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • The top of a manhole cover is shaped like a circle. The area of the manhole cover is 380 square inches. What is the circumferenc
    14·1 answer
  • Hey I would really appreciate it if you could show me how to answer two questions thanks:
    9·2 answers
  • Ben simplified this expression (2x^-4y^7 / 3x^3y^2)^3 Analyze bens work. did he simplify the expression correctly? If not, what
    11·1 answer
  • Please help i will give brainliest
    13·1 answer
  • What is the result when the number 84 is decreased by 50%?
    5·2 answers
  • 1. In a batch of 190 water purifiers, 12 were found to be defective. What is the probability that a
    6·2 answers
  • Linda just bought 7 bags of 14 cookies each. She already had 8 cookies in a jar. How many cookies does Linda have now?​
    13·2 answers
  • alyssa has $5,502 in her savings account.this is 30$ less than six times the amount in her checking account. how much money does
    5·1 answer
  • 10. Which of these is NOT a perfect square?<br> a. 81<br> b. 100<br> C. X2<br> d. 42
    14·1 answer
  • 19 divided by 5 please solve it
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!