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Dmitriy789 [7]
2 years ago
7

1. Elissa is buying a new car. She has an excellent credit score of

Mathematics
1 answer:
k0ka [10]2 years ago
7 0

Answer:

$273.38 per month

Step-by-step explanation:

<u>Monthly Payment Formula</u>

\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}

where:

  • PMT = monthly payment
  • P = loan amount
  • i = interest rate per month (in decimal form)
  • n = term of the loan (in months)

Given:

  • P = $19,500 - $4,000 = $15,500
  • i = 2.25% / 12 = 0.0225 / 12
  • n = 5 years = 60 months

\implies \sf PMT=\dfrac{15500 (\frac{0.0225}{12})(1+\frac{0.0225}{12})^{60}}{(1+\frac{0.0225}{12})^{60}-1}

\implies \sf PMT=273.3788438

\implies \sf PMT=\$273.38

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A number cube is rolled 120 times. The number 4 comes up 47 times.

We have to determine the experimental probability of rolling a 4.

The formula to evaluate probability of an event is given by:

Probability  = \frac{Favourable outcomes}{Total outcomes}

So, Probability of rolling a 4 = \frac{ Total number of times when 4 appears}{Total number of times number cube rolled}

= \frac{47}{120}

Now, we have to find the theoretical probability of rolling a 4.

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lawyer [7]

Complete Question

Rectangular prism with the value of 10 cubic units is filled with cubes the side lengths of 1/2 unit how many 1/2 unit cubes does it take to fill the prism?

Answer:

80 cubes

Step-by-step explanation:

Step 1

The volume of a cube = (side length)³

From the above question, the side length of the cube = 1/2 unit

Hence, the volume of the cube = (1/2 unit)³

= 1/8 cubic units

Step 2

Rectangular prism with the value of 10 cubic units.

The number of 1/2 unit cubes that it takes to fill the prism is calculated as:

10 cubic units ÷ Volume of 1/2 unit cubes

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