Question: #6. Find a formula for the exponential function passing through the points (-2, 4949) and (2, 36). y = #7 A car was valued at
#6.
Find a formula for the exponential function passing through the points (-2, 4949) and (2, 36). y =
#7
A car was valued at $44,000 in the year 1993. The value depreciated to $14,000 by the year 2006. A) What was the annual rate of change between 1993 and 2006? rr = Round the rate of decrease to 4 decimal places. B) What is the correct answer to part A written in percentage form? rr = %. C) Assume that the car value continues to drop by the same percentage. What will the value be in the year 2011 ? value = $ Round to the nearest 50 dollars.
#8
$7000 are invested in a bank account at an interest rate of 4 percent per year. Find the amount in the bank after 12 years if interest is compounded annually. Find the amount in the bank after 12 years if interest is compounded quarterly. Find the amount in the bank after 12 years if interest is compounded monthly. Finally, find the amount in the bank after 12 years if interest is compounded continuously.
#9
The fox population in a certain region has a continuous growth rate of 9 percent per year. It is estimated that the population in the year 2000 was 17400. (a) Find a function that models the population tt years after 2000 (t=0t=0 for 2000). Hint: Use an exponential function with base ee. Your answer is P(t)=P(t)= (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer)
#10 A population of bacteria is growing according to the equation P(t)=1850e0.15tP(t)=1850e0.15t. Use a graphing calculator to estimate when the population will exceed 29452945. t = #11
Evaluate the following function. Your answer should be an integer. f(x)=23x1f(x)=-23x-1, for x=4x=4 Your answer is f(4)=f(4)=
#12
Evaluate the following function. Round your answer to exactly four decimal places. f(x)=4ex+1f(x)=4ex+1, for x=2x=-2 Your answer is f(2)=f(-2)=
I have solved them all want to make sure I did it right
If you could type it I will appreciate it
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