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1 year ago

10

Jason’s gas tank can hold 12 gallons of gas. His gas tank was empty and he filled it up 2/3 full. He spent $20.16. How much did

gas cost per gallon?

1 answer:

natita [175]1 year ago

7 0

Answer:

$2.52 per gallon.

Explanation:

$\frac{2}{3} \times 12 = 8$

$8c = 20.16$

$c = 2.52$

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I do need help please. Just number 14 :)

Ainat [17]

The difference between the coat cost for Delaware vs Fairfield is $0.60

Explanation:
For Delaware: 80 × .0725 = $5.80
80+5.80= $85.80

For Fairfield: 80 × .065 = $5.20
80+5.20=$85.20

85.80-85.20=0.60

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2 years ago

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3 years ago

If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a)

Luba_88 [7]

Answer:

Diverge

Step-by-step explanation:

(a)

1st year: $1000 * 1.08^1 = \$1080$

2nd year: $1000 * 1.08^2 = \$1166.4$

3rd year: $1000 * 1.08^3 = \$1259.71$

4th year: $1000 * 1.08^4 = \$1360.49$

5th year: $1000 * 1.08^5 = \$1469.33$

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

$(1000*1.08^n)^{'} = 1000ln(n)*1.08^n$

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

$(1000ln(n)*1.08^n)^{'} = 1000\frac{ln(n)}{n}1.08^n$

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

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3 years ago

A farmer wants to net at least $10,000/acre on the sale of his 80-acre property. If he allows for a total of 10% for commissions

lara [203]

Answer:

$11,111.11

Step-by-step explanation:

Net Money farmer wanted to get the on selling 1 acre = $10,000

Percentage of commission and closing cost incurred by him = 10%

out of 100 %, he will incur cost of 10%,

rest of them will be with him.

In percentage money he would have be = (100 - 10)% = 90%

Thus, 90 % will be net money he would have.

Let the list price be $x

Given that 90% of this $x will be with farmer which is equal to

90% of x = 90/100 * x = 0.9 x

It is given that he wants to net $10000

so 0.9x = $10,000

=> x = $10,000/0.9 = $11,111.11.

Listing price per acre should be at least $11,111.11.

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2 years ago

Point M is the midpoint of AB. The coordinates of point A are (-7, 1) and the coordinates of M are (-4,1). What are the coordina

I am Lyosha [343]

Answer:

The coordinates of point B are : (-1, 1)

Step-by-step explanation:

$\frac{-7+x^{2} }{2} = -4\\\frac{1+y^{2} }{2} =1$ You multiply -4 by 2 which gives you -8 then you multiply 1 by 2 which gives 2.

Then you create the equations $-7 + x^{2} = -8\\1 + y^{2} = 2$ you substitute -7 for +7 and add 7 to -8 which gives -1 ( $x^{2}$ ) and subtract 1 from 2 which gives you 1 ( $y^{2}$ )

To check your answer use the midpoint formula $\frac{-7+-1}{2} =\frac{-8}{2} =-4\\\frac{1+1}{2} =\frac{2}{2} =1$ which gives you your midpoint (-4,1)

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2 years ago