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leonid [27]
1 year ago
11

Greg has $2,571.68 in his bank account and makes automatic monthly rental payments of $321.46 for a car loan. If he stops making

deposits to that account, when would the automatic payments make the value of the account zero? Write the equation using m for months that represents this scenario
Mathematics
1 answer:
Anestetic [448]1 year ago
5 0

Answer:

8 months

Step-by-step explanation:

Given that:

Amount of money present in the bank account = $2,571.68

Automatic monthly rental payments for car loan = $321.46

Any deposits in the bank account are stopped.

To find:

The number of months taken so that the automatic payments make the value of the account as zero?

Solution:

Let the number of months taken to make the value of the account zero = m months

To find the value of m, we need to divide the total amount initially present in bank account with the monthly rental payment amount.

Therefore, the equation to find the value of m, can be written as:

m = \dfrac{2571.68}{321.46}

On solving the above equation, we get the value as following:

\bold{m=8} months

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Answer:

The balance be after he has made exactly half of his monthly payments is $56881.4.

Step-by-step explanation:

Given : Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly.

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Solution :

Formula of monthly payment ,

M=\frac{\text{Amount}}{\text{Discount factor}}  

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Payment for 10 years is 807.345\times 120=96881.4

The balance is $96881.4-$40000=$56881.4

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