MATHEMATICS HIGH SCHOOL

Carlos bought a $235 water heater with his credit card. He used the water heater for five years before replacing it. He paid off the water heater after two years, making monthly payments. The water heater cost him an average of $1.56 per week in electricity, and $0.78 per week in water. If Carlos’s credit card has an APR of 14.15%, compounded monthly, and he made no other purchases with it, what percentage of the lifetime cost of the water heater was interest? (Round all dollar values to the nearest cent.)

Answers

Answer 1

Answer:

First we will find the interest on:

P = $235 principal

t = 2 years

r = 0.1415 annual rate

A = future value

I = A - P the interest

A = P(1 + r)^t

A = 235(1 + 0.1415)^2

A = $306.21

I = A - P

I = $306.21 - $235

I = $71.21

the interest was $71.21.

Next lets find the lifetime cost value:

Lifetime cost value = 306.21 + 5*1.56*52 + 5*0.78*52 = $914.61 (considering that 1 year = 52 weeks)

Now lets find the percentage what percentage the interest is of the lifetime cost:

(71.21/914.61)*100 = 7.79%

Answer 2

Answer:

Answer:

C. 4.12%

Step-by-step explanation:

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The table shows three unique functions. Which statements comparing the functions are true? Select three options. A. Only f(x) and h(x) have y-intercepts. B. Only f(x) and h(x) have x-intercepts. C. The minimum of h(x) is less than the other minimums. D. The range of h(x) has more values than the other ranges. E. The maximum of g(x) is greater than the other maximums.

Answers

Answer:

CDE

Step-by-step explanation:

A) Only h(x) has a y intercept which is at x=0. At this point the y intercept is 0.

B) Only f(x) have a x intercept at f(x) = 0. The graph of f(x) touches the x axis at f(x) = 0.

C) h(x) has the lowest minimum, its minimum is at -28 while f(x) have a minimum at -14 and g(x) have a minimum at 1/49

D) The range of h(x) has more values than the other ranges ranging from -28 to -28.

E) g(x) has the highest maximum, its maximum is at 49 while f(x) have a maximum at 14 and h(x) have a maximum at 0

Answer:

A B E I think, it's not C D E

Step-by-step explanation:

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Atraeus is solving the quadratic equation by completing the square.7x^2 – 14x + 6 = 0 7x2 – 14x = –6 A(x^2 – 2x) = –6What is the value of A?

Answers

so we first minus 6 both sides
7x^2-14x=-6
then we have
A(x^2-2x)=-6
what is A?

hmm (this should be painfully obvous, but if not, here are steps)

7x^2-14x=-6
A(x^2-2x)=-6

7x^2-14x=-6=A(x^2-2x)
7x^2-14x=A(x^2-2x)
undistribute 7
7(x^2-2x)=A(x^2-2x)
divide both sides by (x^2-2x)
7=A

A=7

Answer:

Step-by-step explanation:

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Answers

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