The formula for calculating compound interest with yearly contributions is:
Balance = X*(1 + Y)^n + Z((1 + Y)^(n + 1) - (1 + Y)/Y)
where the balance is the money earned after n years invested
Y is the interest rate as a fraction
Z is the yearly contribution
X is the starting investment
Therefore the calculation for this example is:
Balance = 1200*(1 + 0.05)^48 + 1200((1.05)^49 - (1.05)/05)
= $249,393.5
Answer: 29 feet.
Step-by-step explanation: The formula for the circumference of a circle is C = π d. In order to calculate the diameter of the tree we will use the same formula and solve for d.
91 = 3.14 x d
In order to solve for d you need to divide both sides for 3.14:
D = 28.98, rounded to the nearest foot is 29 feet.
Answer:
x and y can help you show you the constant rate or the unit rate
Step-by-step explanation:
if you use a graph you can see that x mutipley my a certain number gets you y
Answer:
see below
Step-by-step explanation:
In addition to the exponent rule ...
(a^b)^c = a^(bc)
it is helpful to know the first few powers of some small integers.
5^3 = 125
9^2 = 81
4^3 = 64
2^6 = 64
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- 125^3 = (5^3)^3 = 5^(3·3) = 5^9
- 81^7 = (9^2)^7 = 9^(2·7) = 9^14
- (1/64)^3 = ((1/4)^3)^3 = (1/4)^(3·3) = (1/4)^9
- (1/64)^3 = ((1/2)^6)^3 = (1/2)^(6·3) = (1/2)^18
Is this the whole question?
