Annuities
Suppose a fixed investment R is done every fixed number of periods m per year for t years at a constant rate r.
a.
The final value of the investments plus the interest is calculated as follows:

Where:
n = number of total periods of the investment.
n = m*t

The company invests R = $13,000 for t = 10 years at the end of every quarter (3 months), thus m = 4. The interest rate is r = 9% = 0.09.
The interest rate compounds quarterly.
Calculate:
n = 4*10 = 40
i = 0.09 / 4 = 0.0225

Calculating:
FV = $829,220
The company will have $829,220 in scholarship funds
b. The interest can be found by subtracting the final value and the initial value. We have to calculate the latter:

Thus, the interest is:
welcI = $829,220 - $340,516
I = $488,704
The interest is $488,704
Answer:
Test it. Is 1.752 close to 8?
1.752 = 3.0625
3.0625 is not close to 8.
Step-by-step explanation:
Answer:

Step-by-step explanation:
We want to simplify the radical expression:

We write √6 as √(2*3).
This implies that:

We now split the radical for √(2*3) to get:

We obtain a perfect square at the far right.

This simplifies to

This gives us:

and finally, we have:
