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Bogdan [553]
2 years ago
10

Sam really wanted to buy a car, but did not have the money at the moment. He was talking to the salesman and they said that he c

ould get him a loan for the car for $30,000 on a 11.41% per year interest rate compounded continuously. He wanted to spend his money on other things so he held off on paying down the balance of the loan for a while. 1. What was the loan balance 3 months in? 2. Sam has a take home pay of $40,000 a year. What percentage of his take home pay is the interest on the loan in his first year?
Mathematics
1 answer:
wolverine [178]2 years ago
8 0

Answer:

1) $30,821  ( loan balance after 3 months in )

2) 8.56%

Step-by-step explanation:

Final Amount of  compound interest: A  = P ( 1 + i ) ^ n

p = principal = $30,000

r = interest rate = 11.41% = 0.1141

n = number of years

1) Loan balance after 3 months

n = 3/12 = 0.25 years

A = 30,000 ( 1 + 0.1141 ) ^ 0.25

   = $30,821  ( loan balance after 3 months in )

2) Loan Balance after 1 year

A = 30,000 ( 1 + 0.1141 ) ^ 1

  =  $33423

interest on loan = 33423 - 30,000 = $3423

percentage of $40,000 is $3423

= 3423 / 40,000 * 100

= 8.56%

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Take a look at the attachment below. It fills in for the attachment that wasn't provided in the question -

An oblique pyramid is one that has a top not aligned with the base. Due to this, the height of the pyramid connects with two vertices at its ends to form a right angle present outside the pyramid, knowing that it is always perpendicular to the base. There is no difference between the calculations of the volume of an oblique pyramid and a pyramid however -

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2 years ago
Which number line shows the solution to −6 − (−2)? A number line is shown from negative 10 to 0 to positive 10. There are increm
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Answer:

The correct option is A) A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

Step-by-step explanation:

Consider the provided expression.

−6 − (−2)

Open the parentheses and change the sign.

−6 − (−2)

−6 + 2

Subtract the numbers.

−4

Now draw this on number line.

First draw a number line is shown from −10 to 0 to 10. with scale of 2 unit on either side of the number line. Draw an arrow pointing from 0 to −6 Which show −6. Above this, another arrow pointing from −6 to −4 which shows −6 − (−2) = −4. A vertical bar is shown at the tip of the arrowhead of the top arrow.

The required number line is shown in the figure 1.

Hence, the correct option is A) A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

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3 years ago
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Harlamova29_29 [7]

Answer:

Step-by-step explanation:

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2 years ago
Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2
ollegr [7]

Answer:

2x^2+8x-30 represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.

Step-by-step explanation:

Perimeter is defined as the sum of sides.

For a rectangle having dimension length 'L' and breadth 'B' Since, rectangle has two sides equal.

Perimeter of rectangle = 2 ( length + breadth )

Here, given rectangle has dimension

Length = 2x^2-16 and breadth = -x^2+4x+1

Thus, perimeter of rectangle = 2(2x^2-16+(-x^2+4x+1))

                                              =2(2x^2-16-x^2+4x+1)

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Thus, perimeter of rectangle is 2x^2+8x-30   ........(1)

Perimeter of rectangle , when x = 3,

Put x= 3 in (1) ,

2x^2+8x-30\Rightarrow 2(3)^2+8(3)-30 \Rightarrow 18+24-30=12

Thus, 2x^2+8x-30 represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.




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Step-by-step explanation:

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