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2 years ago

Reducible interest at 6% pa is charged on a loan of $50 000. Annual repayments of

Mathematics

1 answer:

Nana76 [90]2 years ago

7 0

1. The loan balance after 2 years is $45,262.

2. The loan balance after 3 years is $42,678.

3. The loan balance after 1 year is $47,700.

<h3>What is the loan balance?</h3>

The loan balance is the amount remaining from the principal amount after the deduction of repayment and the addition of interest for the period.

The loan balance can be computed manually as below:

<h3>Data and Calculations:</h3>

Loan amount = $50,000

Interest rate = 6%

Annual repayments = $5,000

1st year:

Loan amount = $50,000

Repayment = ($5,000)

Interest = $2,700 ($50,000 - $5,000) x 6%

Loan balance = $47,700 ($50,000 - $5,000 + $2,700)

2nd year:

Loan balance = $47,700

Repayment = ($5,000)

Interest = $2,562 ($47,700 - $5,000) x 6%

Loan balance = $45,262 ($47,700 - $5,000 + $2,562)

3rd year:

Loan balance = $45,262

Repayment = ($5,000)

Interest = $2,416 ($45,262 - $5,000) x 6%

Loan balance = $42,678 ($45,262 - $5,000 + $2,416)

Thus, the loan balance after 3 years is $42,678.

Learn more about computing loan balances at brainly.com/question/24576997

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For the average time it took the car to travel 0. 50 meters will be 3.13 seconds.

Given: Average time it took the car to travel is 0. 25m & 0. 50m

The average time it took the car to travel 0. 25 meters

Here we will solve by formula of Average i.e.

$=\rm \dfrac{Trial \;1 \;time + Trial\; 2\; time + Trial \;3\;time}{3}\\\\= \dfrac{(2.24 + 2.21 + 2.23)}{3}$

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Similarly, The average time it took the car to travel 0. 50 meters

$=\rm \dfrac{Trial \;1 \;time + Trial\; 2\; time + Trial \;3\;time}{3}\\= \dfrac{(3.16 + 3.08 + 3.15)}{3}$

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3 years ago

The value of a car decreases as shown in the table below.

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The statements which are true from the given table are:

The function that best represents the data is f(x) = 24,512(0.755)x.

The function decreases indefinitely.

It is reasonable to interpolate the value of the car at 4.5 years.

<h3>What is Depreciation?</h3>

Depreciation refers to the accounting method where the value of a tangible asset reduces over a period of time.

The value of the car is shown with the purchase with entries that shows its value over time,

The function that best represents the data is f(x) = 24,512(0.755)x and that this function decreases indefinitely.

The statements which are true from the given table are:

The function that best represents the data is f(x) = 24,512(0.755)x.

The function decreases indefinitely.

It is reasonable to interpolate the value of the car at 4.5 years.

The complete question is

"The value of a car decreases as shown in the table below.

A 2-column table with 6 rows.

The first column is labeled years after purchase with entries 0, 1, 2, 3, 4, 5.

The second column is labeled value (dollar sign) with entries 25,000; 18,000; 14,000; 10,500; 8,000; 6,000.

Which statements are true? Check all that apply.

The function that best represents the data is f(x) = 24,512(0.755)x.

The function that best represents the data is f(x) = 554x2 – 5,439x + 24,600.

The function decreases indefinitely.

It is reasonable to interpolate to the value of the car at 4.5 years.

It is reasonable to extrapolate to 40 years"