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GenaCL600 [577]
2 years ago
8

Determine the parent function

Mathematics
1 answer:
GalinKa [24]2 years ago
4 0
A parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family.
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22

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8000$ is invested in an account the yields 6% interest per year. After how many years will the account worth 13709.60$ if the in
ozzi

Answer:

After 9 years the account will be worth 13709.60$

Step-by-step explanation:

We are given the following in the question:

We are given the following in the question:

P = $8000

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n = 12

The compound interest is given by:

A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}

where A is the amount, p is the principal, r is the interest rate, t is the time in years.

Putting the values, we get,

13709.60 = 8000\bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\dfrac{13709.60}{8000} = \bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\Rightarrow 1.7137 = (1.005)^{12t}\\\Rightarrow t \approx 9

Thus, after 9 years the account will be worth 13709.60$

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