(W) On January 1, 2023, the market capitalization of Firm A was 5 billion dollars, and it increases by 20% every 5 years. On that same day, the capitalization of Firm B was 20 billion dollars, and it has a half life of 4 years. (a) Find a formula for A(t), the market capitalization (in billions of dollars) of Firm A, t years after January 1, 2023. (b) Find a formula for B(t), the market capitalization (in billions of dollars) of Firm B, t years after January 1, 2023. (c) When will the market capitalizations of the two firms be equal?

Q: Suppose you deposit money in an investment account that pays 5% annual interest compounded…

A: r=5%=0.05 Let P be the invested money and let it be doubled in t years.

Q: small town has 3000 people, but began to grow at a rate of 2.4% compounded continuously for seven…

A: Given- Population of small town=3000 people That is , Principal(P)=3000 rate(r)=2.4%=0.024 Time(t)=7…

Q: An account pays interest at a continuous compounded rate of 0.05 per year. Continuous deposits are…

A: Using the formula of future value of annuity we find the balance after at the end of 10 years

Q: O Akomiah deposits GHS1,000 into his bank account. The bank credits interest at nominal annual rate…

A: Let r=2j be the annual rate convertible quarterly. You have to accumulate 7 years with a rate if j…

Q: Breonna invested $4,760 into an account that earns 1.69% interest compounded semi- annually. How…

A: The calculation of the time it takes for the investment to accumulate to $8,020 can be done using…

Q: One hundred shares of a technology stock were purchased on January 2, 1990, for $1200 and sold on…

A:

Q: An investment compounded quarterly takes 5 years to double in value. How long will it take for the…

A: An investment compounded quarterly takes 5 years to double in value. How long will it take for the…

Q: Suppose $100 is withdrawn at the EOY 2026, emptying an account that earns 7% interest, compound…

A:

Q: A prestigious bank offers a CD that earns 4.15% interest compounded continuously. Say a CD is…

A:

Q: Five years ago, you entered into a 10-year investment of principal P (in pesos) with simple interest…

A: The term per cent means for every hundred. A fraction whose denominator is 100 is called a…

Q: Jason has $100,000 to invest in a savings account. He has two options: Option A earns 4% interest…

A: In the question it is asked to calculate the amount of money from the more valuable account in 10…

Q: The table below shows the value of the ftse 100 share index over 6 month periods for 2 years.…

A: The Financial Times Stock Exchange 100 Index, also called the FTSE 100 Index, FTSE 100, FTSE, or,…

Q: Alen invests $ 2,500 in an account that earns 6 % / a, compounded weekly. Peter also invests $ 2,500…

A:

Q: In 1992. the four-year cost of tuition at UMass was $19,000. Tuition is expected to rise 79% over…

A: Since you have posted the separate part's in the question. I am answering the first one. Please post…

Q: If real estate in a certain city appreciates at the yearly rate of 15% compounded continuously, when…

A: The question mentions that the value of the real estate in a certain city appreciates at a rate…

Q: Claire's mutual funds are worth $8000 and earn interest at an average apr of 7.8% compounded…

A: Answer image:

Q: A principal amount of $365 is placed in a savings account with an annual rate of 2.08% simple…

A: The formula for final value V of the simple interest of principal amount P with rate of interest r%…