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Fofino [41]
2 years ago
15

C (x) = 0.05x+9.25 What is the total rental cost if Jose drove 40 miles? V dollars ?

Mathematics
1 answer:
lana66690 [7]2 years ago
4 0

Answer:

11.25 dollars in 40 miles.

Step-by-step explanation:

Plugging 40 in for x, we get the equation C(x) = 0.05(40) + 9.25. We do the math, get 2 + 9.25, add, and get the answer 11.25.

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Jake has a rectangular garden that measures 12 feet by 14 feet. He wants to increase the area by 50% and plans to increase each
emmasim [6.3K]

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

x\approx 2.9ft

<h2>Explanation:</h2><h2 />

First of all, let's calculate the area of the original rectangular garden:

A=b\times h \\ \\ b:base \\ \\ h:height \\ \\ \\ b=12ft \\ \\ h=14ft \\ \\ \\ A=12(14) \\ \\ A=168ft^2

Jake wants to increase the area by 50%, so the new area would be:

A'=168(1.5) \\ \\ A'=252ft^2

He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

(12+x)(14+x)=252 \\ \\ 168+12x+14x+x^2-252=0 \\ \\ x^2+26x-84=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ \\ b=26 \\ \\ c=-84 \\ \\ \\ x=\frac{-26 \pm \sqrt{26^2-4(1)(-84)}}{2(1)} \\ \\ x=\frac{-26 \pm \sqrt{1012}}{2} \\ \\ \\ Two \ solutions: \\ \\ x_{1}=-13+\sqrt{253} \approx 2.9\\ \\ x_{2}=-13-\sqrt{253} \approx -28.9 \\ \\ x_{2} \ is \ discarded \ because \ it \ can't \ be \ negatives

Finally:

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

x\approx 2.9ft

<h2>Learn more:</h2>

Dilation: brainly.com/question/10945890

#LearnWithBrainly

6 0
3 years ago
Given that 4704/m = n^2, where m and n are whole numbers and n is as large as possible, find the value of m and of n
Andrews [41]

Answer:

n=28,m=6

Step-by-step explanation:

Rearrange to give 4704 = m * n^2

Express 4704 in its prime factorisation:

2^5 * 3^1 * 7^2

We know that n must be as large as possible and, because it is squared, be the even numbers.

We get n^2 = 2^4 * 7^2 so n = 2^2*7 = 28

m is the leftovers

2^1*3 = 6

5 0
2 years ago
Given the equation A=250(1.1)t, you can determine that the interest is compounded annually and the interest rate is 10%. Suppose
Wewaii [24]

Answer:

=250(1.025)∧4t

Step-by-step explanation:

Using the compound interest formula we can find the expression for the total amount that accumulates in the given time t.

A=P(1+R/n)ⁿᵇ

where A is the amount, P the principal amount, R the rate as a decimal n is the number of times it is compounded and b the time.

When compounded annually, the expression becomes

A=250(1.1)∧t

When compounded quarterly, we introduce the n in our expression.

A=250(1+0.1/4)∧4t

=250(1.025)∧4t

5 0
2 years ago
Read 2 more answers
Ok if Dan made 1412.42 and Aaron made 1187.92
tankabanditka [31]
First we should calculate the relation between how much they make and the fuel cost so we write

(1412.42+<span>1187.92)/418.91=6.21

So that means that for every 6.21 dollars made 1 dollar of fuel must be deducted so now we calculate what they need to be deducted by:

Dan deduction = 1412.42/6.21=    227.41
Aaron deduction= 1187.92/6.21 = 191.29</span>
7 0
3 years ago
If f(x) = 1 – x2 + x3, then f(-1) =
Monica [59]

Answer:

Step-by-step explanation:

f(-1)= 1 - (-1)^2 + (-1)^3 = 1 - 1 - 1 = 0 - 1 = -1

4 0
2 years ago
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