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Masja [62]
3 years ago
11

Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 2

50x and the value of the car after x months is represented by y = 8,000 – 50x. Which statement describes when Melinda’s loan will be equal to the value of the car?
Mathematics
2 answers:
Montano1993 [528]3 years ago
6 0
Hi there

 <span>Equal when 10000 - 250x = 8000 - 50 x 

2000 = 200x 
x = 10 answer A
</span> 
i hope this helps

Arlecino [84]3 years ago
5 0

Answer:

Melinda's loan will be equal to the value of the car after 10 months.

Step-by-step explanation:

We are given,

Balance on the loan is given by, y = 10,000 - 250x.

Also, Value of the car is given by, y = 8,000 - 50x.

Since, it is required to make Melinda's loan equal to the value of the car.

We have,

10,000 - 250x = 8,000 - 50x.

i.e. 250x - 50x = 10,000 - 8,000

i.e. 200x = 2,000

i.e. x = 10.

Thus, Melinda's loan will be equal to the value of the car after 10 months.

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<em>Here we are required to determine the initial monthly fee charged by the electric company.</em>

The initial fee charged by the electric company is; C = $10

To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.

y = mx + c.

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  • y = <em>Monthly charge at each time</em>.

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To find the slope;

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By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).

Therefore, m = 0.12 , y = 82 and X = 600;

we then have;

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Therefore, the initial fee charged by the electric company is; C = $10.

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2 years ago
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Answer:

m^2 +1

Explanation:

All the other expressions can be factorized. Let's see why:

1) m^3 +1

This is the sum of the cubes, and this can be factorized as follows:

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In this case, a=m and b=1, so we can factorize as

m^3+1=(m+1)(m^2-m+1)

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This is the difference between two cubes, and this can be factorized as follows:

a^3-b^3=(a-b)(a^2+ab+b^2)

In this case, a=m and b=1, so we can factorize as

m^3-1=(m-1)(m^2+m+1)

3) m^2-1

This is the difference between two square numbers, and it can be factorized as follows

(a^2-b^2)=(a+b)(a-b)

In this case, a=m and b=1, so we can factorize as

m^2-1=(m+1)(m-1)

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Let Devaughn be D

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