Remember that the formula for simple interest is:

Where I is the interest to paid, p is the loan, r is the interest rate (in decimal), and t is the time (in years).
A. We know that the interest rate for a loan of 9 months is 2.9%, but we need to convert that rate to decimal. To do that just divide the interest rate by 100%:

Next, we are going to find the time t in years. Since the period of time is 9 months, we are going to dive by 12, the number of months in a year, to obtain the time in years:

Now, we just need to replace the values in our formula to find the interest owned:

We can conclude that <span>the interest owed for a home improvement loan of $900 after 9 months is $19.58.
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B. Similarly:



We can conclude that the interest owed for a home improvement loan of $2500 after 18 months is $116.25.
C. Similarly:



We can conclude that the interest owed for a home improvement loan of $5600 after 6 months is $67.2
Answer:
726
Step-by-step explanation:
Here p = k / q², and 24 = k / 121, or k = 2904
Then p = 2904 / q²
If q = 2, p = 2904 /4 = 726
Answer:

Step-by-step explanation:
In order to solve this problem we can make use of the following formula:

where θ is the total angle the basket has turned, ω is the angular velocity and t is the time.
Generally theta is written in radians and omega is written in radians per second. Now, since the revolutions are directly related to the radians and they want us to write our answer in revolutions, we can directly use the provided speeds in the formula, so we can rewrite it as:

where n represents the number of revolutions and f is the frequency at which the basket is turning.
The movement of the cylindrial basket can be split in two stages, when it accelerates and when it decelerates. So let's analye the first stage:

and now let's analyze the second stage, where it decelerates, so we get:

So now that we know how many revolutions the cylindrical basket will take as it accelerates and as it decelerates we can add them to get:
n=18rev+26rev=44rev
So the basket will turn a total of 44 revolutions during this 22s interval.
Answer: x(.25)+(4+x(.25))=y
Step-by-step explanation:
1. set up the equation-
Ali has an unknown amount of quarters so make that x.
We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on
Tom has 4 more, since he has 4 more it is 4+x and one again times .25
2. that is it