4400 dollars is placed ina an account with an annual interest rate of %8.25. How much will be in the account after 29 years

Mathematics

2 answers:

VikaD [51]3 years ago

3 0

You multiply 4400 times 0.0825= 363
363 times 29= 10,527

marta [7]3 years ago

3 0

Answer:

$FV=43839\hspace{3}\$

Step-by-step explanation:

Basically, we need to find the future value. The future value (FV) is the value that a certain amount of money will have in the future that we currently maintain or that we decide to invest in a certain project. In order to calculate the VF we need to know the value of our money at the present time and the interest rate that will be applied to it in the coming periods. The formula is as follows:

$FV=PV(1+\frac{r}{n} )^{nt}\\\\Where:\\\\PV=Present\hspace{3}value=4400\$ \\r=Annual \hspace{3}interest\hspace{3}rate=8.25\%=0.0825\\t=time=29\\n=Number\hspace{3} of \hspace{3}times\hspace{3} that \hspace{3}interest\hspace{3} is \hspace{3}compounded \hspace{3}per\hspace{3} unit\hspace{3}t=1$

Therefore, after 29 years:

$FV=4400(1+(\frac{0.0825 }{1} ))^{29*1}=4400(1.0825)^{29}\approx 43839\hspace{3}\$

There will be 43839 dollars in the account.

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Step-by-step explanation:

a) The problem statement gives the function for x ≤ 30, and gives an example of evaluating the function for x = 35. So, replacing 35 in the example with x gives the function definition for x > 30.

$\displaystyle Y(x)=\left\{\begin{array}{lcl}900&\text{for}&x\le 30\\900-40(x-30)&\text{for}&x>30\end{array}\right.$

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c) The derivative is ...

$\displaystyle\frac{dT}{dx}=\left \{\begin{array}{lcl}900&\text{for}&x\le 30\\2100-80x& \text{for}&x>30\end{array}\right.$

_____

The attached graph shows the yield per acre (purple, overlaid by red for x<30), the total yield (black), and the derivative of the total yield (red). You will note the discontinuity in the derivative at x=30, where adding one more tree per acre suddenly makes the rate of change of yield be negative.