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
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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
(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.
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- 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.A bank features a savings account that has an annual percentage rate of r = 3.9% with interest compounded quarterly. Landon deposits $7,500 into the account. kt The account balance can be modeled by the exponential formula A(t) = a(1+ where A is account value after t years, a is the principal (starting amount), r is the annual percentage rate, k is the number of times each year that the interest is compounded. (A) What values should be used for a, r, and k? a = r = k = (B) How much money will Landon have in the account in 7 years? Answer = $ Round answer to the nearest penny. (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year). APY = %. Round answer to 3 decimal places. Get help: Video MacBook ProA bank features a savings account that has an annual percentage rate of r=5.6% with interest compounded daily. Dylan deposits $2,500 into the account. The account balance can be modeled by the exponential formula S(t)=P(1+rn)nt, where S is the future value, P is the present value, r is the annual percentage rate, n is the number of times each year that the interest is compounded, and t is the time in years. What values should be used for P, r, and n? P= , r= , n= How much money will Dylan have in the account in 10 years? Answer = $ . Round answer to the nearest penny.What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year). APY= %.
- A bank features a savings account that has an annual percentage rate of r = 3.4% with interest compounded quarterly. Linda deposits $7,000 into the account. The account balance can be modeled by the exponential kt formula A(t) = a(1+)" where A is account value k after t years , a is the principal (starting amount), r is the annual percentage rate, k is the number of times each year that the interest is compounded. (A) What values should be used for a, r, and k? а — r = k (B) How much money will Linda have in the account in 7 years? Amount = $ Round answer to the nearest penny. (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year). APY Round answer to 3 decimal places.When $8,600 is invested in a savings account paying simple interest for the year, the interest, i in dollars, can be obtained from the equation i=8,600r, where r is the rate of interest in decimal form. Graph i=8,600r, for r up to and including a rate of 16%. If the rate is 7%, how much interest is earned? OA. $6,020 OB. $602 OC. $586 OD. $622= A bank features a savings account that has an annual percentage rate of r interest compounded quarterly. Tatiana deposits $9,000 into the account. The account balance can be modeled by the exponential formula A(t) = a (1 + 7-)kt, where A is account value after t years, a is the principal (starting amount), r is the annual percentage rate, k is the number of times each year that the interest is compounded. (A) What values should be used for a, r, and k? a = r = 5.6% with k = (B) How much money will Tatiana have in the account in 7 years? Answer = $ 7. Round answer to the nearest penny. APY = = %. Round answer to 3 decimal places. (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year).
- A bank features a savings account that has an annual percentage rate of r = 5.1% with interest compounded quarterly. Kimberly deposits $12,000 into the account. The account balance can be modeled by the exponential formula A(t) = a(1+ r kt where A is account value after t years , a is the principal (starting amount), r is the annual percentage rate, k is the number of times each year that the interest is compounded. (A) What values should be used for a, r, and k? k = = D (B) How much money will Kimberly have in the account in 10 years? Amount = $ Round answer to the nearest penny. (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year). АРY Round answer to 3 decimal places.You initially invest $400 in a savings account that pays a yearly interest rate of 3%. (a) Write a formula for an exponential function giving the balance in your account as a function of the time since your initial investment. (Let B be the account balance in dollars and t be the number of years since the initial investment.) 8(t)= dollars (b) What monthly interest rate best represents this account? Round your answer to three decimal places. % (c) Calculate the decade growth factor. (Round your answer to two decimal places.) (d) Use the formula you found in part (a) to determine how long it will take for the account to reach $536. (Round your answer to the nearest whole number.) yr Explain how this is consistent with your answer to part (c), At the end of one decade, there will be $ where the account reaches $536 at the end of This --Select-- o the answer found above years,The value of a bank account collecting interest which is continuously compounded is modeled by the equation: A = Pet where: A is the value of the account at time t P, or the principal, is the value of the initial investment t is time (measured in years) r is the interest rate (written as a decimal) 1. Suppose that $5000 is put into an account with an interest rate of 8% compounded continuously. a) How much will the account be worth after 3 years (exact value) ? b) How much will the account be worth after 3 years (rounded to the nearest cent) ? c) How many years will it take for the value of the account to double? In an exponential model for population growth, the size of a population at time t is rt described by the equation: N(t) = Net where: N is the initial population or the population at t=0 r is the percentage growth rate t = time and can be measured in different units depending on the problem. Note: You don't have to use e and r. It is often possible to find an equivalent form…
- Suppose you deposit m dollars the beginning of every month in a savings account that earns a monthly interest rate of r. For an initial investment of m dollars, the amount of money in your account at the beginning of the second month is the sum of your second deposit and your initial deposit plus interest. Denote by An the amount of money in your account in the nth month. 1. Explain why A₁ = m dollars. 2. Explain why A₂ = m+m(1+r) dollars. 3. Write down explicit expressions for A3 and A4. This is the crucial step. 4. Explain why An = m+m(1 + r) + m(1 + r)² + ... +m(1 + r)"−¹ dollars. 5. Use the formula for a geometric sum to show that An = m (1 + r)” − 1 r dollars. 6. If your account has a monthly interest rate r = 0.002 and you deposit $200 monthly for 5 years, how much money will you have in your account after the 5 years? (Hint: How many months?)The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate. A. Find how much money there will be in the account after the given number of years. B. Find the interest earned. Click the icon to view some finance formulas. A. The amount of money in the account after 2 years is $. (Round to the nearest hundredth as needed.) B. The amount of interest earned is $. (Round to the nearest hundredth as needed.) Principal $2000 Rate 5% 7 Compounded annually Time 2 yearsSavings institutions often state a nominal rate, which can be thought of as a simple annual interest rate, and the effective interest rate, which is the actual interest rate earned due to compounding. Given the nominal rate, it is easy to calculate the effective interest rate as follows. Assume that $1 is invested in an account paying an interest rate of 6% compounded monthly. Using the compound interest formula A =P 1+ m with P = 1, r =0.06, m 12, and n 12 0.06 = 12, A =1 + 12 1.0617. So the effective interest rate is 1.0617 - 1 = 0.0617, or 6.17%. Find the effective interest rate for the investments with a nominal yield of 10%, compounded quarterly. The effective annual yield is %. (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer All parts showing Clear All javascript:doExercise(12); avascript:doExercise(14); Type here to search