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Answer:
Please check the explanation.
Step-by-step explanation:
To find the amount we use the formula:
Here:
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
Given
P=$2000
r=4.5%
n=4
t = 5 years
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<u><em>Calculating compounded quarterly </em></u>
After plugging in the values
Thus, If you deposit $2000 into an account paying 4.5% annual interest compounded quarterly, you will have $2501.50 after five years.
<u><em>Calculating compounded semi-annually</em></u>
n = 2
Thus, If you deposit $2000 into an account paying 4.5% annual interest compounded semi-annually, you will have $2,498.41 after five years.
Assuming you know the quadratic formula:
You can fill in a, b and c in this and get:
Now, let's create a shorthand to make the writing easier:
But since one root is three times the other root (but we don't know which one), we also know that:
or
If you solve this, you get:
or
However, since q is a square root, it must be postive.
So we know that:
From this you find that
So p = 3/2
The roots are x=1/2 and x=3/2.