The values of certain types of collectibles can often fluctuate greatly over time. Suppose that the...

The values of certain types of collectibles can often fluctuate greatly over time. Suppose that the value of a particular limited edition figurine is found to be able to be modeled by the function

?(?) = −0.01?⁴ + 0.47?³ − 7.96?² + 49.18? + 65 for 0 ≤ ? ≤ 20 where ?(?) is in dollars, t is the number of years after the figurine was released, and ? = 0 corresponds to the year 1999.

a) What was the value of the figurine in the year 2009?

b) What was the value of the figurine in the year 2019?

c) What was the instantaneous rate of change of the value of the figurine in the year 2002?

d) What was the instantaneous rate of change of the value of the figurine in the year 2019?

e) Use your answers from parts a-d to estimate the value of the figurine in 2020.

Solutions

Expert Solution

Solution is attached below if you have any doubt please comment below and if you find this solution helpful please like it thank you

milcah answered 1 year ago

Next > < Previous

Related Solutions

Suppose that you can reproduce a short-time physical or chemical event over and over again. Discuss...

Suppose that you can reproduce a short-time physical or chemical event over and over again. Discuss possible sources of errors associated with measuring the duration of the event using a stopwatch. ("Human Error" is not a source) What effect do the sources of error have on the data?

Spending on social programs like Medicare and Medicaid have increased greatly over time. Provide a brief...

Spending on social programs like Medicare and Medicaid have increased greatly over time. Provide a brief description of how you would evaluate spending on these programs to determine if they are socially useful.

6. A certain contaminant was studied in the laboratory by measuring over time the concentration in...

6. A certain contaminant was studied in the laboratory by measuring over time the concentration in a sample placed in a closed container. The values of the observed concentrations are given below. Determine the reaction order and the decay rate for this contaminant. Time (hrs) 0 1 3.5 6.5 10 Conc (mg/L) 100 80 50 26 10

The following data were obtained for the concentration vs. time for a certain chemical reaction. Values...

The following data were obtained for the concentration vs. time for a certain chemical reaction. Values were measured at 1.0 s intervals, beginning at 0.00 and ending at 20.0 s. Concentrations in mM are: 10.00, 6.91, 4.98, 4.32, 3.55, 3.21, 2.61 2.50, 2.22, 1.91, 1.80, 1.65, 1.52, 1.36 1.42, 1.23, 1.20, 1.13, 1.09, 1.00, 0.92 a) Plot concentration, c, vs. time, t, ln c vs. t, and 1/c vs. t. b) Decide whether the data best fit zero-order, first-order or...

A certain flight arrives on time 90 percent of the time. Suppose 185 flights are randomly...

A certain flight arrives on time 90 percent of the time. Suppose 185 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 170 flights are on time. (b) at least 170 flights are on time. (c) fewer than 174 flights are on time. (d) between 174 and 178, inclusive are on time.

A certain flight arrives on time 81 percent of the time. Suppose 175 flights are randomly...

A certain flight arrives on time 81 percent of the time. Suppose 175 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 152 flights are on time. (b) at least 152 flights are on time. (c) fewer than 141flights are on time. (d) between 141 and 148 inclusive are on time.

A certain flight arrives on time 82 percent of the time. Suppose 153 flights are randomly...

A certain flight arrives on time 82 percent of the time. Suppose 153 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 138 flights are on time. (b) at least 138 flights are on time. (c) fewer than 120 flights are on time. (d) between 120 and 125, inclusive are on time. (Anything helps! Thank you)

A certain flight arrives on time 86 percent of the time. suppose 156 flights are randomly...

A certain flight arrives on time 86 percent of the time. suppose 156 flights are randomly selected. use the normal approximation to the binomial to approximate the probability that a) exactly 140 flights are on time b) at least 140 flights are on time c) fewer than 137 flights are on time d) between 137 and 138, inclusive are on time

A certain flight arrives on time 86 percent of the time. suppose 156 flights are randomly...

A certain flight arrives on time 81 percent of the time. Suppose 159 flights are randomly...

A certain flight arrives on time 81 percent of the time. Suppose 159 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 121 flights are on time. (b) at least 121 flights are on time. (c) fewer than 138 flights are on time. (d) between 138 and 143, inclusive are on time.

Subjects