Answer:
1
a)
A = 4,408,209,897.52
b)
A = 4,072,118,867.37
2)
Domain of the function is (-2,4)
Step-by-step explanation:
a)
We have been given the following information which is to be used in determining the accumulated amount, using the given compound interest formula,;
P=$0.93
t=1000 years
r=0.0223
n=12, since the interest is compounded monthly
The compound interest formula to be used is given below;
[tex]A=P(1+\frac{r}{n}) ^{nt}[/tex]
The accumulated amount is obtained by substituting the given values into the formula above;
[tex]A=0.93(1+\frac{0.0223}{12}) ^{12000}[/tex]
A = 4,408,209,897.52
b)
For this part we use the exponential continuous compounding formula since the interest earned on the principal will be compounded continuously. The principal and t remain unchanged but the rate of interest changes to 0.0222. The formula to be used is given below;
[tex]A=Pe^{rt}[/tex]
A is the accumulated amount
P is the principal amount
r is the interest rate
t is the time in years
[tex]A=0.93e^{(0.0222)1000}[/tex]
A = 4072118867.37
2)
The domain of the function is defined as the set of input values for which the function is real and defined.
A graph of the given function is shown in the attachment below;
The function is thus defined for values of x greater than -2 but strictly less than 4
