91Ó°ÊÓ

Write an equivalent logarithmic equation. $$ 10^{-2}=0.01 $$

Write an equivalent logarithmic equation. $$ M^{p}=V $$

Maximum loan amount. The Daleys plan to purchase a new home. They qualify for a mortgage at an annual interest rate of \(4.15 \%,\) compounded monthly for \(30 \mathrm{yr}\). They are willing to pay up to \(\$ 1800\) per month. What is the largest loan they can afford?

Desmond wants to have \(\$ 15,000\) available in 5 yr to pay for new siding. Interest is \(4.3 \%,\) compounded continuously. How much money should be invested?

Maximum loan amount. Martina plans to purchase a new home. She qualifies for a mortgage at an annual interest rate of \(4.45 \%,\) compounded monthly for 20 yr. She is willing to pay up to \(\$ 2000\) per month. What is the largest loan she can afford?

Given \(\log _{b} 3=1.099\) and \(\log _{b} 5=1.609\), find each value. $$ \log _{b} 15 $$

Shannon has a trust fund that will yield \(\$ 80,000\) in 13 yr. A CPA is preparing a financial statement for Shannon and wants to take into account the present value of the trust fund in computing her net worth. Interest is compounded continuously at \(4.8 \% .\) What is the present value of the trust fund?

Given \(\ln 4=1.3863\) and \(\ln 5=1.6094,\) find each value. Do not use a calculator. $$ \ln 80 $$

Given \(\ln 4=1.3863\) and \(\ln 5=1.6094,\) find each value. Do not use a calculator. $$ \ln (5 e) $$

Given \(\ln 4=1.3863\) and \(\ln 5=1.6094,\) find each value. Do not use a calculator. $$ \ln \sqrt{e^{8}} $$