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n200080 [17]
2 years ago
11

Roberto listed his assets and liabilities on a personal balance sheet. Roberto’s Balance Sheet (September 2013) Assets Liabiliti

es cash $1,800 credit card $4,000 investments $6,200 personal loan $1,000 house $150,000 mortgage $100,000 car $8,000 car loan $5,000 Total Total After creating the balance sheet, Roberto decided to use his investments to pay off his car loan. How will that decision affect the difference between his assets and liabilities? It will make the assets $5,000 less than the liabilities. It will make the assets $5,000 more than the liabilities. The difference between the assets and the liabilities will remain the same. The difference between the assets and the liabilities cannot be compared.
Mathematics
2 answers:
viva [34]2 years ago
4 0

To see the effect on Robertos balance sheet, we will first have to get the total assets and liabilitiesTotal assets = cash+ investment+ house + carTotal liabilities= credit card + personal loan + mortgage  + car loanSubstituting the values, we will getTotal asset =$166000Total liabilities =$1010000Difference= $844000To pay off car loan, he uses his investmentTotal asset = $166000-5000                   =$161000Total liabilities= $1010000-5000                        =$1005000Difference=$844000Therefore the answer is letter C, the difference between asset and liability will remain the same.

slavikrds [6]2 years ago
4 0

Answer:

C is correct

Step-by-step explanation:

The difference between the assets and the liabilities will remain the same.

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Answer:

<h2>-1</h2>

Step-by-step explanation:

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6 0
2 years ago
If you take out a $15,000 loan for a period of 36 months at a 5.4% annual interest rate, how much of your first monthly payment
Tems11 [23]

Answer:

The amount that will go towards the balance is 385.71.

Step-by-step explanation:

The information provided is:

P = Principal of loan = $15,000

r = interest rate = 5.4% p.a. = \frac{0.054}{12}= 0.0045

n = number of periods = 36

The amount of the monthly payment that will go towards the balance is:

Amount towards the balance = EMI - Interest  

First compute the Equated monthly installments (EMI) as follows:

EMI=\frac{P\times r\times (1+r)^{n}}{(1+r)^{n}-1} \\=\frac{15000\times0.0045\times(1+0.0045)^{36}}{(1+0.0045)^{36}-1} \\=\frac{79.3125}{0.175}\\=453.21

Now compute the interest as follows:

Interest=P\times r\\=15000\times0.0045\\=67.5

The amount that will go towards the balance is,

Amount towards the balance = EMI - Interest  

                                                 = 453.21 - 67.5

                                                 = 385.71

Thus, the amount that will go towards the balance is 385.71.

4 0
2 years ago
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injured runners train on a special track at a rehabilitation center. The track is a square with a half circle on its left and ri
diamong [38]

Answer:

The length of the track is approximately 51.7 ft

The track has <u>three</u> sides of the square and the distance round <u>a half of a</u> complete circle

Step-by-step explanation:

The given track shape and measurements are;

The shape on the left side of the track  = Square

The shape on the right side of the track  = Half circle

The area of the square on the the left side of the track  = 128 square feet

Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;

Area of the square portion of the track = s × s = s² = 128 ft²

Therefore, s = √(128 ft²) = 8·√(2) ft.

Whereby the side length of the square is bounded by the diameter of the half circle, we have;

Length of the diameter of the half circle = s = 8·√(2) ft.

The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.

The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.

Therefore;

The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft

The length of the track ≈ 51.7 ft

Which gives;

The track has <u>three</u> sides of the square and the distance round <u>a half of a</u> complete circle.

5 0
2 years ago
Giuliana has 22 quarters and dollar coins worth a total of $10.75. Which equation can be used to find d, the number of dollar co
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Answer:

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Step-by-step explanation:

Total number of coins Giuliana has = 22

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So the equation will be,

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d + 0.25 × (22 - d)  = 10.75

Therefore, to determine the number of dollars with Giuliana equation will be used,

d + 0.25(22 - d) = 10.75

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