Answer:
Step-by-step explanation:
Let 
be the cost of renting from Mozart's Music Store for 
years, and 
be the cost of renting from Bach's Music Store for years.
From the problem statement, we can come up with the following equations:
Plugging in 
for each equation, we can get the answer:
From this, we can see that the value is equal for both stores.
Answer:
Step-by-step explanation:
z
Answer:
3.045%.
Step-by-step explanation:
We are asked to find the corresponding effective interest rate for 3% per year compounded continuously.
We will use effective interest formula to solve our given problem.
, where,
r = Effective interest rate,
e = Mathematical constant,
r = Interest rate in decimal form.
Let us convert given interest rate in decimal form.
Substitute values:
Convert into percentage:
Therefore, the corresponding interest rate would be 3.045%.
Subtract 1111 from both sides
5{e}^{{4}^{x}}=22-115e4x=22−11
Simplify 22-1122−11 to 1111
5{e}^{{4}^{x}}=115e4x=11
Divide both sides by 55
{e}^{{4}^{x}}=\frac{11}{5}e4x=511
Use Definition of Natural Logarithm: {e}^{y}=xey=x if and only if \ln{x}=ylnx=y
{4}^{x}=\ln{\frac{11}{5}}4x=ln511
: {b}^{a}=xba=x if and only if log_b(x)=alogb(x)=a
x=\log_{4}{\ln{\frac{11}{5}}}x=log4ln511
Use Change of Base Rule: \log_{b}{x}=\frac{\log_{a}{x}}{\log_{a}{b}}logbx=logablogax
x=\frac{\log{\ln{\frac{11}{5}}}}{\log{4}}x=log4logln511
Use Power Rule: \log_{b}{{x}^{c}}=c\log_{b}{x}logbxc=clogbx
\log{4}log4 -> \log{{2}^{2}}log22 -> 2\log{2}2log2
x=\frac{\log{\ln{\frac{11}{5}}}}{2\log{2}}x=2log2
Answer= −0.171
