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zavuch27 [327]
3 years ago
15

Angie borrowed $1,485 to purchase a new laptop for the veterinarian’s assistant. The interest on the loan was 7.75%. How much in

terest will Angie pay if the loan is for 2 years???
Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0

This problem has several steps.

First, calculate the interest value for the first year by multiplication of the interest rate and the total amount of the initial loan. So: (1,485)X(0.0775) = $115.0875. This is the total amount of interest for the first year. We add this to the initial loan value to find the total amount for the first year: 115.0875+1,485=$1,600.0875. The next year, she will be charged on this amount, instead of $1,485. So, you repeat the first step with this new value. (1,600.0875)x(0.0775)=$124.0067813. This is the total amount of interest charged the second year. You add this to her total from last year: 124.0067813+1,600.0875 =$ 1,724.094281. This is the total she would have to pay back on her initial loan after to years. (Rounded to whatever decimal place specified. Probably $1,724.09)

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Suppose two $20 bills, three $10 bills, one $5 bill, and seven $1 bills are placed in a bag. If you were to pull a bill at rando
Korolek [52]

Answer:

Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is \frac{7}{13}.

Step-by-step explanation:

From the given question, the bag contains;

$1 bill = 7

$5 bill = 1

$10 bill = 3

$20 bill = 2

Total number of bills in the bag = 13

Pulling a bill at random, the bills would have an expected value as follows:

For $1 bill, the expected value = \frac{7}{13}

For $5 bill, expected value = \frac{1}{13}

For $10 bill, expected value = \frac{3}{13}

For $20 bill, the expected value = \frac{2}{13}

Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is \frac{7}{13}.

6 0
3 years ago
Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.
jeka94

Answer:

x=4+2\sqrt{3}

x=4-2\sqrt{3}

Step-by-step explanation:

<u>Completing the square</u>

when  ax^2+bx+c=0

Given equation:

3x^2-24x+40=28

Subtract 40 from both sides:

\implies 3x^2-24x=-12

Divide both sides by 3:

\implies x^2-8x=-4

Add the square of half the coefficient of x to both sides:

(\frac{b}{2})^2=(\frac{-8}{2})^2=16

\implies x^2-8x+16=-4+16

Factor the left side and simplify the right side:

\implies (x-4)^2=12

Square root both sides:

\implies x-4=\pm\sqrt{12}

Add 4 to both sides and simplify the radical:

\implies x=4\pm\sqrt{4 \cdot 3}

\implies x=4\pm\sqrt{4}\sqrt{3}

\implies x=4\pm2\sqrt{3}

5 0
2 years ago
6. Solve the triangle by finding the length of DF and the measures of all the angles. For side lengths, round to the
poizon [28]

Answer:

∠F = 59°

∠E = 31°

DF = ≅ 3  (2.98)

Step-by-step explanation:

4 0
3 years ago
I WILL MARK BRAINIEST
valkas [14]

Answer:

Angle X=30°

2x=60°

Step-by-step explanation:

X+2X=90°

3x=90°

X=90/3

X=30°

Angle X=30°

2x=60°

8 0
3 years ago
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<AFE and <BFD are vertical angles
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