Exponentials and Logs

Screenshot in files. Logs and exponentials. has functions and percentages. some are multiple choice, and it is two questions with multiple questions in it.

You are going to invest 6300 dollars at an annual interest rate of 7.1 percent compounded semiannually.
(a) Which of the following gives the balance in his account after t years?
t
0.071
B = 6300(1+
B = 63001+
4
(1
+ 7.)”
OB = 63001+
B = 63001+
o(1+2:1)”
o(1+71)
(1 0,07%)”
B = 6300(1 + 0.071)”
B
6300 1+
B = 6300 1 +
20
0(1+71)”
6300(1+ 7-)”
0.071
B= 6300 1 +
4
B = 6300(1+
2t
B
0.071
6300 1+
2
00(1+ 0.072)
(b) What is the effective yield (APY or APR) of the account? Enter your answer as a percent rounded to 2 decimal places.
%
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(c) How much money will be in the account after 8 years? Round your answer to 2 decimal places and do not include commas.
Your answer is $
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years
(d) How long will it take for the money in the account to double? Give your answer in years rounded to 2 decimal places.
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The doubling time of a certain bacteria is about 12 hours. How long until bacteria population
has grown by 41%? In other words, how long until the bacteria population is 141% of what it
is initially?
Give your answer in hours rounded to 2 decimal places.
There will be a 41% increase in the population after
hours.
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If there are initially 13 organisms in the bacteria culture, find a formula that will give the
amount left after t hours.
13
P = 12
(1)
2t
P= 13(2)127
P= 13(12) 2
P = 13(12)
13t
P= = 12(2)
t
12t
P = 13
1
2
P=18()
P=
13(2) 12
P= 12(2) ធំ
P- 12() **