(4^9)^5 is equal to 4^45. You multiply 9 and 5 to get 45.
To figure out how many miles the Daltons traveled the first day you times 2140 miles and 30 percent.
So 2140 x .30 = 642
They traveled 642 miles the first day.
To figure out how many miles they still have to travel you subtract your original miles (2140) from how many miles they have already traveled (642).
So 2140 - 642 = 1498
They have 1498 miles to still travel.
C. The area is increased by an area of 25
8x7=56
40x35=1400
1400/56=25
Let
s-------> the side length of a square
we know that
The area of a square is equal to
convert to function notation
therefore
<u>the answer is </u>
Part a.
Fixed charge for the month: $30
Charge per hour: $0.50 daytime
Charge per hour: $0.25 nights and weekends
Let's say in one month, a person parks for d hours of daytime and n hours of nights and weekends.
The total monthly charge would be
cost = 30 + 0.50d + 0.25n
Now let's see what Trent did.
He parked for 47 hours in one month.
h of the 47 hours are nights and weekends.
Let x = number of daytime hours.
x + h = 47
x = 47 - h
He parked h hours of night and weekends, and he parked 47 - h hours of daytime.
Now we use h for night and weekend hours and 47 - h for daytime hours in the expression above.
cost = 30 + 0.50d + 0.25n
cost = 30 + 0.50(47 - h) + 0.25h
Answer to part a.: 30 + 0.50(47 - h) + 0.25h
Part b.
We are told the actual number of night and weekend hours, which we called h above, is 12. h = 12.
Now we use the cost expression we found in part a. with 12 in for h.
cost = 30 + 0.50(47 - h) + 0.25h
cost = 30 + 0.50(47 - 12) + 0.25(12)
cost = 30 + 0.50(35) + 0.25(12)
cost = 30 + 17.50 + 3
cost = 50.5
Answer to part b.: $50.50
