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Goshia [24]
2 years ago
7

Mike leases a new pickup by paying $3500 up front and $384 a month over three years. The lease also stipulates he will be charge

d $0.15 per mile for every mile over 36,000. If he puts 41,122 miles on the truck, what will be the total cost of the lease? Round your answer to the nearest cent (hundredth), but do not include a $ in your response.
Mathematics
1 answer:
yaroslaw [1]2 years ago
3 0

The total cost of the lease is  $18,092.30.

<h3>What is the total cost of the lease?</h3>

The total cost of the lease is a function of the up front fee, payment per month and the total cost for miles over 36,000.

Total cost = $3500 + (384 x 12 x 3) + [0.15 x (41,122 - 36,000)]

$3500 + 13,824 + 768.30  = $18,092.30

To learn more about total cost, please check: brainly.com/question/25717996

#SPJ1

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7nadin3 [17]
The answer will be: x=-2
8 0
3 years ago
If 1/√a-√b=1/3 and 1/√a+√b=1/2, then find the difference of a and b.​
kow [346]

<u>ANSWER:</u>

If \frac{1}{\sqrt{a}-\sqrt{b}}=\frac{1}{3} and \frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2} then the difference of a and b is 6

<u>SOLUTION:</u>

Given, \frac{1}{\sqrt{a}-\sqrt{b}}=\frac{1}{3} →\sqrt{a}-\sqrt{b}=3 ----- (1)

And \frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2} → \sqrt{a}+\sqrt{b}=2 --- (2)

We have to find difference of a and b.

Now, add (1) and (2)

\sqrt{a}-\sqrt{b}=3

\sqrt{a}+\sqrt{b}=2

Adding above two equations, we get,

2 \sqrt{a}+0=2+3

\begin{array}{l}{2 \sqrt{a}=5} \\\\ {\sqrt{a}=\frac{5}{2}} \\\\ {a=\frac{25}{4}}\end{array}

substitute \sqrt{a} value in (2)

\begin{array}{l}{\frac{5}{2}+\sqrt{b}=2} \\\\ {\sqrt{b}=\frac{2}{\sin \frac{5}{2}}} \\\\ {\sqrt{b}=\frac{4-5}{2}} \\\\ {\sqrt{b}=\frac{-1}{2}} \\\\ {b=\frac{1}{4}}\end{array}

Now, difference of a and b is a – b = \frac{25}{4}-\frac{1}{4}=\frac{24}{4}=6

Hence, the difference of a and b is 6.

8 0
3 years ago
What expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?
AveGali [126]

Answer: \text{Area of the square shaped traffic sign }=16x^2+9+24x

Step-by-step explanation:

Given: The side of the square shaped traffic sign = 4x+3

We know that the area of square is given by:-

Area= side^2

Therefore, the area of the side of the square shaped field is given by:-

Area=(4x+3)^2

We know that , (a+b)^2=a^2+b^2+2ab

Therefore,

(4x+3)^2=(4x)^2+(3)^2+2(4x)(3)\\=16x^2+9+24x

Hence, \text{Area of the square shaped traffic sign }=16x^2+9+24x

3 0
3 years ago
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Answer: c

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