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:
1/-20 or -0.05
Step-by-step explanation:
Problem: You do not have an attached picture. Though, I can help you out with this question.
So, three-fifths of the members are girls. There are 30 of girls. We can immediately make an equation using "x".
3/5x=30
3/5x × 5/3=30 × 5/3
x=50
Thus, there are 50 members in total. Though if x is too hard for you, you may substitute it by using another variable.
Variable in here is x.
In this item, it is assumed that since the pattern is cut out of the paper which is usually a rectangle then, the shape of the pattern is also rectangle. The perimeter of the rectangle is,
P = 2L + 2W
The area is equal to,
Area = L x W
If we assume that length and width are equal, in order to maximize the space.
1600 cm² = L x L
The value of L from the equation is 40 cm.
Answer:
Step-by-step explanation:
This is an arithmetic progression.
difference d = (-8) - (-2) = (-8) + 2 = (-6).
nth term = a + (n-1)d