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5. Steve has a new baby and would like to start a college fund for the child. If Steve’s bank offers him an annual savings account that earns 2.7% interest per year and he would like to have $100000 in the account after 18 years how much should he invest now?

6. A new flu strain is growing exponentially. When first found 10 people were infected. Ten days later the number of cases had risen to 32.
a. Write an exponential model that gives the number of cases after t days.
b. Predict the number of cases after 4 weeks.
c. After how many days will the number of cases be 450?
d. What is the daily growth rate for this flu strain?

7. A twelve pack is placed in a refrigerator that is set at 34 degrees. The table below gives the actual temperature of the twelve pack for several times after being placed in the fridge. Find the time on the clock when the 12 pack will reach a temperature of 40
Degrees?

Time     1:00     1:15     1:30     1:45     2:00
Temp     74     65     58     54     51

Submitted: 95 days ago.
Category: Math
Value: $9
Status: AWAITING CUSTOMER ACTION

Answer

5. The answer is $100000/(1.027^18)=$61,905.90

6.
a. f(t) = 10 exp(A t), where A = 0.1 log(3.2) = 0.116315
b. 259.67
c. About 33 days; 32 days produces 413.5, and 33 days produces 464.5
d. exp(A)-1 = about 12.335%

7. Difficult. Assuming an exponential model temp = 34 + 40 exp (-alpha t), it shold be around 2:47, but the 1:45 and 2:00 numbers don't fit the curve.


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Expert: Dr. Arthur Rubin
Pos. Feedback: 100.0 %
Accepts: 
Answered: 8/19/2009

Mathematician

Ph.D. in Mathematics, 1978, from the California Institute of Technology, over 20 published papers

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