Answer:
Step-by-step explanation:
Exponential equations can be written as
in this case,
a = 5000 (the starting amount)
we just have to find b
![10000 = 5000b^4\\20000 = 5000b^8\\\\b^4 = 2\\b^8 = 4\\\\\\b = \sqrt[4]{2}](https://tex.z-dn.net/?f=10000%20%3D%205000b%5E4%5C%5C20000%20%3D%205000b%5E8%5C%5C%5C%5Cb%5E4%20%3D%202%5C%5Cb%5E8%20%3D%204%5C%5C%5C%5C%5C%5Cb%20%3D%20%5Csqrt%5B4%5D%7B2%7D)
![y = 5000(\sqrt[4]{2})^x](https://tex.z-dn.net/?f=y%20%3D%205000%28%5Csqrt%5B4%5D%7B2%7D%29%5Ex)
Answer:
$805.25
Step-by-step explanation:
Suppose you invest $500 at 10% interest, compounded annually. After 5 years, how much money would you have in your account? Remember, the formula is A = P(1 + r)t.
Given data
Principal= $500
Rate= 10%
Time= 5years
The compound interest expression is
A=P(1+r)^t
substitute
A=500(1+0.1)^5
A=500(1.1)^5
A=500*1.61051
A=$805.25
Hence the account is $805.25
Answer:
427,000 = 4.27 * 
Step-by-step explanation:
Answer:
4 hours
Step-by-step explanation:
2×6=3x
12÷3= 4
x=4 so 4 hours.
A quadratic with roots at 8 and 5 is f(x) = x^2 +12x + 20
In order to find an equation given roots you can create statements that equal 0 in order to create parenthesis. For instance we know x = 8 at one point. So, we can solve that to equal 0.
x = -2 ----> add 2 to both sides
x + 2 = 0
We can do the same for the other zero.
x = -10 ----> add 10 to both sides
x + 10 = 0
Now that we have both of these, we can multiply these two things together. This will give us the function we need.
f(x) = (x + 2)(x + 10)
f(x) = x^2 + 10x + 2x + 20
f(x) = x^2 + 12x + 20
