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mariarad [96]
3 years ago
12

Can someone explain please?

Mathematics
1 answer:
Paul [167]3 years ago
7 0

Answer:

- The equation that represent the cost C of renting a car and driving x miles is C = $39.11 + $0.50x

- $130 can travel 181.32 miles

Step-by-step explanation:

From the question, a rental company rents a luxury car at a daily rate of 39.34 ​$ plus​ $.50 per mile, that is

$0.50 is added to the initial $39.34 for every mile.

The equation that represent the cost C of renting a car and driving x miles is

C = $39.34 + $0.50x

Now, to determine how many miles 130$ can travel,

we will put C = $100, and determine x in the above equation

$130 = $39.34 + $0.50x

$130 - $39.34 = $0.50x

$90.66 = $0.50x

x = $90.66/$0.50

x = 181.32

Hence, $130 can travel 181.32 miles

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Tom and Jerry both invested the same amount for 8 years. If Tom’s rate of return is 9% and Jerry’s rate is 10% compounded annual
Margarita [4]

Answer:

The correct option is;

(f) 7.6%

Step-by-step explanation:

The given parameters are;

The number of years Tom and Jerry are investing their money, t = 8 years

The rate of return for Tom's investment, r₁ = 9%

The rate of return for Jerry's investment, r₂ = 10%

The rate at which the interest is compounded, n = Annually =  1

Let P represent the equal amount of money each of Tom and Jerry invested separately

The amount, A, of the investment is given by the following formula;

A = P \times \left (1 + \dfrac{r}{n} \right ) ^{n \times t}

Substituting the known values for Tom, gives;

A = P \times \left (1 + \dfrac{0.09}{1} \right ) ^{1 \times 8} = P \times 1.09^8 \approx 1.993\cdot P

The amount Tom has after 8 years ≈ 1.993·P

Substituting the known values for Jerry, gives;

A = P \times \left (1 + \dfrac{0.1}{1} \right ) ^{1 \times 8} = P \times 1.1^8 \approx 2.144\cdot P

The amount Jerry has after 8 years ≈ 2.144·P

The percentage amount Jerry has more than Tom after 8 years, PA is given as follows;

PA = \dfrac{2.144 \cdot P - 1.993 \cdot P}{1.993 \cdot P} \times 100 = 7.57651781234\% \approx 7.6 \%

The amount Jerry will have after 8 years than Tom = PA ≈ 7.6%.

5 0
3 years ago
Simplify: -c - 8(4c - 5) - (-18c + 3)
d1i1m1o1n [39]

Answer:

-15c + 2

Step-by-step explanation:

you start by multiplying the coefficients of the parentheses to the numbers inside which gives you

- c - 32c + 5 + 18c - 3

then you simply just group together the like numbers. all "c" 's go together and everything without a "c" goes together

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the final answer simplified is

-15c + 2

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answer:

25°

explanation:

triangle total: 180°

right angle: 90°

90 + 65 = 155

180 - 155 = 25

hope this helped!

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