The monthly costs for a small company to do business has been increasing over time due in part to inflation. The table gives the monthly cost y in $ for the month of January for selected years. The variable t represents the number of years since 2016. a. Use a graphing utility to find a model of the form y = a b t . Round a to the nearest whole unit and b to 3 decimal places. b. Write the function from part (a) as an exponential function with base e . c. Use either model to predict the monthly cost for January in the year 2023 if this trend continues. Round to the nearest hundred dollars.
The monthly costs for a small company to do business has been increasing over time due in part to inflation. The table gives the monthly cost y in $ for the month of January for selected years. The variable t represents the number of years since 2016. a. Use a graphing utility to find a model of the form y = a b t . Round a to the nearest whole unit and b to 3 decimal places. b. Write the function from part (a) as an exponential function with base e . c. Use either model to predict the monthly cost for January in the year 2023 if this trend continues. Round to the nearest hundred dollars.
Solution Summary: The author explains how to obtain the equation in the form of y=abt for the given table.
The monthly costs for a small company to do business has been increasing over time due in part to inflation. The table gives the monthly cost
y
in $
for the month of January for selected years. The variable t represents the number of years since 2016.
a. Use a graphing utility to find a model of the form
y
=
a
b
t
. Round a to the nearest whole unit and b to 3 decimal places.
b. Write the function from part (a) as an exponential function with base e.
c. Use either model to predict the monthly cost for January in the year 2023 if this trend continues. Round to the nearest hundred dollars.
~
exp(10). A
3. Claim number per policy is modelled by Poisson(A) with A
sample x of N = 100 policies presents an average = 4 claims per policy.
(i) Compute an a priory estimate of numbers of claims per policy.
[2 Marks]
(ii) Determine the posterior distribution of A. Give your argument.
[5 Marks]
(iii) Compute an a posteriori estimate of numbers of claims per policy.
[3 Marks]
2. The size of a claim is modelled by F(a, λ) with a fixed a
a maximum likelihood estimate of A given a sample x with a sample mean
x = 11
=
121. Give
[5 Marks]
Robbie
Bearing Word Problems
Angles
name:
Jocelyn
date: 1/18
8K
2. A Delta airplane and an SouthWest airplane take off from an airport
at the same time. The bearing from the airport to the Delta plane is
23° and the bearing to the SouthWest plane is 152°. Two hours later
the Delta plane is 1,103 miles from the airport and the SouthWest
plane is 1,156 miles from the airport. What is the distance between the
two planes? What is the bearing from the Delta plane to the SouthWest
plane? What is the bearing to the Delta plane from the SouthWest
plane?
Delta
y
SW
Angles
ThreeFourthsMe MATH
2
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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