Two Algebra Questions 1) A bank features a savings account that has an annual percentage rate of r=4.6r=4.6% with interest compounded quarterly. Dalton deposits $10,500 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, r is the annual percentage rate written as a decimal, n is the number of times each year that the interest is compounded, and t is the time in years. (A) What values should be used for P, r, and n? P = _____, r = ______, n = ______ (B) How much money will Dalton have in the account in 1010 years? Answer = $ ______ Round answer to the nearest penny. 2) The number of bacteria in a culture is given by the function n(t)=935e^0.2t where t is measured in hours. (a) What is the exponential rate of growth of this bacterium population? (b) What is the initial population of the culture (at t=0)? (d) How many bacteria will the culture contain at time t=6?
Two Algebra Questions
1) A bank features a savings account that has an annual percentage rate of r=4.6r=4.6% with interest compounded quarterly. Dalton deposits $10,500 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, r is the annual percentage rate written as a decimal, n is the number of times each year that the interest is compounded, and t is the time in years.
(A) What values should be used for P, r, and n?
P = _____, r = ______, n = ______
(B) How much money will Dalton have in the account in 1010 years?
Answer = $ ______
Round answer to the nearest penny.
2) The number of bacteria in a culture is given by the function
n(t)=935e^0.2t where t is measured in hours.
(a) What is the exponential rate of growth of this bacterium population?
(b) What is the initial population of the culture (at t=0)?
(d) How many bacteria will the culture contain at time t=6?
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