6. (2.5 pts) At the beginning of week 5, they broke up. Jack wanted to run off to the city with Diane, but Diane said he was crazy. Unfortunately, their relationship ended. Both were
angry with each other. Suppose we could somehow quantify and measure anger. Let's
call the units "anger units”. On the day of the break-up, Jack had 100 anger units. Every
week he lost 5% of his anger. Recall that the growth factor needs to be the amount that
"stays on” Jack (not the 5% that "comes off” Jack). For example, after 1 week, he had 95
anger units. After 2 weeks he had 90.25 anger units, and so on. Write an equation that
models Jack's anger (let that be )) after t weeks.

43

step-by-step explanation:

x/3-10=8

x/3=18

x=48

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~

0.32

step-by-step explanation:

2.24/7