The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
f(x) = x + 2
The value of f(n - 4) is given as:
f(n - 4) = n - 4 + 2 = n - 2
The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2
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Answer:
$15,539.67
Step-by-step explanation:
Compound Interest Formula
![\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}](https://tex.z-dn.net/?f=%5Clarge%20%5Ctext%7B%24%20%5Csf%20A%3DP%5Cleft%281%2B%5Cfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bnt%7D%20%24%7D)
where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- P = $11,000
- r = 5.8% = 0.058
- n = 4 (quarterly)
- t = 6 years
Substitute the given values into the formula and solve for A:
![\implies \sf A=11000\left(1+\frac{0.058}{4}\right)^{(4 \times 6)}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20A%3D11000%5Cleft%281%2B%5Cfrac%7B0.058%7D%7B4%7D%5Cright%29%5E%7B%284%20%5Ctimes%206%29%7D)
![\implies \sf A=11000(1.0145)^{24}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20A%3D11000%281.0145%29%5E%7B24%7D)
![\implies \sf A=15539.67451...](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20A%3D15539.67451...)
Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.
69 is the answer to all questions.