Step-by-step explanation:
1st one
2nd
4th
The formula we use for continuous compounding is

where P is the initial amount invested, r is the rate as a decimal, and t is time in years. Our P = 1300, our r = .042, and our t = 5.75 (9 months is 3/4 of a year, and 3/4 in a decimal is .75). Putting all that into our formula we have

. We have to multiply those 2 powers together and then raise euler's number to it, then multiply by 1300. Doing all of that, we get the amount at the end to be $1,655.10
Answer:
To meet her goal, Noelle must run more than
the rest of the month
Step-by-step explanation:
Let
h-------> the number of hours Noelle runs for the rest of the month
we know that
The inequality that represent the situation is

Solve for h
Subtract 10 both sides


Divide by 5 both sides

First find the volume of the box: 8•4•4.5=144 cubic inches.
8 of the 1/8 inch=1 of the 1 cubic inch
He could do 144 and 0
143 and 8
142 or 16
Or just keep following the pattern... Hope that helped