A truck can be rented from Company A for $160 a day plus 0.60 per mile. Company B charges $80 a day plus 0.70 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At __ miles, the rental costs are the same from other company.

800 miles

Step-by-step explanation:

Let the amount of miles = m

Company A charges a flat rate of $160 a day, and $0.60 per mile:

total = 0.60m + 160

Company B charges a flat rate of $80 a day, and $0.70 per mil:

total = 0.70m + 80

Set both equations equal to each other:

0.60m + 160 = 0.70m + 80

Isolate the variable, m. Note the equal sign, what you do to one side, you do to the other. Subtract 0.70m and 160 from both sides:

0.60m (-0.70m) + 160 (-160) = 0.70m (-0.70m) + 80 (-160)

0.60m - 0.70m = 80 - 160

Simplify:

-0.10m = -80

Isolate the variable, m. Divide -0.10 to both sides:

(-0.10m)/(-0.10) = (-80)/(-0.10)

m = 80/0.10

m = 800

At 800 miles, the rental costs are the same.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076