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:
the answer is 3:8:5
Step-by-step explanation:
This is because it says Apple, coconut, and orange, but you put orange, apple, and coconut
The total number of plants are: 12 tomatoes + 5 cucumbers = 17 plants
The ratio of cucumbers plants to total plants is: 5 cucumbers to 17 plants total
So It can be expressed as: 5/17 or 5:17
Answer:
3
Step-by-step explanation:
The linear function
One of the points is (0,5), so
f(0) = 5
The y-intercept is at (0,5).
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The exponential function
The general formula for an exponential function is
.
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Calculate the <em>value of b
</em>
y₃/y₂ = [a(b)³]/[a(b)²]
250/50 = b
b = 5
=====
Calculate the <em>value of a
</em>
250 = a(5)³
250 = a × 125
a = 2
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g(0) = 2(5)⁰
g(0) = 2 × 1
g(0) = 2
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|f(0) – g(0)| = |5 – 2|
|f(0) – g(0)| = 3
The positive difference in the y-intercepts of f(x) and g(x) is 3.
You can see the two y-intercepts on the graph below.