1. suppose you invest $500 at 10% interest, compounded annually. after 5 years, how much money would you have in your account? remember, the formula is a = p(1 + r)t. 2. if you invest $100 at 2% interest, compounded every 2 years, what would your balance be after 6 years? 4. two friends are going on a road trip and are downloading podcasts to listen to on the drive. they choose two podcasts. they download a episodes of podcast a, and b episodes of podcast b. each episode of podcast a is x minutes long, and each episode of podcast b is y minutes long. tell what the following expressions represent in the situation. a. ax + by b. a + b

Solution 1:

The compound interest formula to be used here is given by:

Now we are given:

P=$500

r=10% or 0.1

t=5 years

Plugging them in the formula ,

A=$802.255

Answer : After 5 years I will have $802.255 in my account.

Solution 2:

The formula for compound interest here is given by:

Here interest is compounded after every two years, so n=2

r=2% or 0.02

t=6 years

P= $100

Plugging these into the formula:

A=$112.683

The balance after 6 years would be $112.683.

Solution 4:

In this situation:

a. Ax+By

Ax represents duration of Podcast A episodes

By represents duration of Podcast B episodes

Ax+By represents total duration of Podcast A and Podcast B songs.

b. A+B

A+B represents total number of episodes of Podcast A and Podcast B.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?