(b) Show that the data are exponential. (Round your answer to three decimal places.) Each successive ratio of new/old is , which shows that the data is exponential. Find an exponential model for the account balance. (Let t be the time in months and B the savings balance in dollars. Round your parameters to three decimal places.) B(t) = (c) What is the monthly interest rate? (Round your answer to one decimal place.) % (d) What is the yearly interest rate? (Round your answer to one decimal place.) %
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- Suppose you invest $1,500 in an account paying 6% interest per year. How much of this balance corresponds to interest on interest earned in the last (7th) period? (Dollar figures should be approximated to the nearest cent of a dollar, while rates should be expressed in percentage terms without using the "%" symbol and approximated to the nearest second decimal place.)How much is the net working capital? What is the current ratio? (Accounts Receivable is good for two months and Notes Receivable is good for eight months) What is the quick ratio?Suppose you deposit D dollars at the beginning of each month into an account that pays a monthly rate of r as a decimal. Then, the balance B of the account after t months is given by B = D(1 + r) (1 + r)t − 1 r dollars. Suppose you deposit $160 at the beginning of each month into an account that pays a monthly rate of r = 0.005, which corresponds to an APR of 6%. How long does it take for the account balance to build to $2600? Report your answer to the nearest whole month. months
- A bank features a savings account that has an annual percentage rate of r=3.1r=3.1% with interest compounded quarterly. Breanna deposits $6,500 into the account. The account balance can be modeled by the exponential formula S(t)=P(1+rn)ntS(t)=P(1+rn)nt, where SS is the future value, PP is the present value, rr is the annual percentage rate written as a decimal, nn is the number of times each year that the interest is compounded, and tt is the time in years. (A) What values should be used for PP, r, and nn? P=P= , r=r= , n=n= (B) How much money will Breanna have in the account in 88 years? Answer = $ . Round answer to the nearest penny.For the following exercise, use the compound interest formula, A(t) = P 1 + r n nt , where money is measured in dollars.After a certain number of years, the value of an investment account is represented by the expression 10,950 1 + 0.03 2 24 . How many years had the account been accumulating interest? yrIf the annual interest rate is 8%, what is the daily interest rate that would be used as the "r" in the time value of money equation? Hint: the equation uses the decimal equivalent of the percent Enter your answer to four decimal places.
- A bank features a savings account that has an annual percentage rate of r=3.4% with interest compounded weekly. Alfonso deposits $11,500 into the account. The account balance can be modeled by the exponential formula S(t)=P(1+r/n)^nt, where S is the future value, P is the present value, rr is the annual percentage rate, nn is the number of times each year that the interest is compounded, and tt is the time in years. What values should be used for P, r, and n?P= , r= , n= How much money will Alfonso have in the account in 10 years?Answer = $ .Round answer to the nearest penny. What is the effective annual rate for the savings account?effective rate = %.Round answer to 3 decimal places.The balance owed on your credit card triples from $600 to $1800 in 12 months. If the balance is growing linearly then it would take 54 months to reach $6000$6000. If, on the other hand, the balance is growing exponentially, f(x)=600(1+0.096)x where x represents the number of months, what would the balance be after 54 months? Round your answer to the nearest cent.You invest $5,000 into a money market account that pays interest monthly (e.g., interest is compounded monthly). After three-year the value of the account is $6,800. What is the annual and monthly interest rate? please use excel and show what step by step how you did it. Also, use formula ? = n ∙ ((????)^1/(?∙?)− 1) -1 is not squared See highlited formula
- If the annual interest rate is 12.9% and the dollar amount compounds daily, you would ( a. multiply b. divide) the interest rate by (a. 1 b. 12 c. 52 c. 365) and you would (a. mul tiply b. divide) the number of time periods by (a. 1 b. 12 c. 52 d. 365)Suppose you invest $1,100 in an account paying 5% interest per year. What is the balance in the account after 4 years? How much of this balance corresponds to "interest on interest"? What is the balance in the account after 30 years? How much of this balance corresponds to "interest on interest"? (Round to the nearest cent.)Suppose you invest $1,250 in an account paying 8% interest per year. a. What is the balance in the account after 3years? How much of this balance corresponds to "interest on interest"? b. What is the balance in the account after 31 years? How much of this balance corresponds to "interest on interest"?