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:
the coordinates of C' = (2,1)
Step-by-step explanation:
The coordinates of point C can be found by looking at the graph.
Coordinates of C are C= (6,3)
If ABCD is dilated by a factor of 1/3 then the coordinates of C' can be found by multiplying the coordinates of C by 1/3
C = (6,3)
C' =(1/3*6,1/3*3)
C' = (2,1)
So, the coordinates of C' = (2,1)
Answer:
10
Step-by-step explanation:
I assume it's a rectangle, therefore:
P = 50
a = 15 ft
b = ?
P = 2a + 2b
50 = 2 * 15 + 2b
50 = 30 + 2b
2b = 50 - 30
2b = 20
b = 10
Answer:
<u><em>Either A or D</em></u>
Step-by-step explanation:
<u><em>I got It right Hope it helps this you guys</em></u>
Answer:
3. 10000
Step-by-step explanation:
Given the following :
Number of gumball cartons = 3
Number of boxes per carton = 100
Number of gumballs per box = 100
The number of gumballs can be expressed in the form : (a. 10) ; where ; a = prime number ; b = whole number
Values of a and b?
Total number of gumballs :
Number of carton × number of boxes per carton × number of gumballs per box
3 × 100 × 100
Hence, writing the expression in the form: a. 10
a. 10 = 3 × 10000