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If f(x):= x2 for xe [0, 4), calculate the following Riemann sums, where Pi has the same partition points as in Exercise 1, and the tags are selected as indicated. (a) P, with the lags at the left endpoints of the subintervals. (b) Pi with the tags at the right endpoints of the subintervals. (c) P2 with the tags at the left endpoints of the subintervals. (d) P2 with the tags at the right endpoints of the subintervals.
As the regional manager of a pizza franchise business, you are interested in understanding how income in a region affects pizza sales. Below is a regression output for pizza sales (in thousands of dollars) regressed on the average household income of an area (also in thousands of dollars). What is the regression equation?
Model Summary
Model
R
R Square
Adjusted R Square
Std. Error of the Estimate
1
.884(a)
.781
.592
57.970
a Predictors: (Constant), INCOME
Unstandardized Coefficients
Standardized Coefficients
t
Sig.
Model
B
Std. Error
Beta
1
(Constant)
4.027
1.453
6.05
.001
Income
-2.611
0.428
.884
13.54
.000
a Dependent Variable: PIZZASALES
Kgomotso bought a townhouse for R1395 000. She managedtosecure aloan at an interest rate of 11,35% per year, compounded every six months, for a period of 20 years. Determine the periodicpayments Kgomotso must make.
Find the probability of z lying between z=0 and z=2.3.
Mean and standard deviation of sampling distribution of variance of population 2,3,4,5 with sample size =2
How many bijections (bijective functions) are there from A to A with the
property that no element of A is mapped to itself? (A is a set with 5 elements)
A cylindrical jug that carries 5 ℓ of water when it is filled to the brim, has a height of 20 cm
Prove that the mapping p : f(x)->F(a) defined by h(x)p = h(a) is homomorphism
What is the probability that a hired bike will be deemed beyond repair provided that the wheels get damaged independently of each other
Financial leverage Max Small has outstanding school loans that require a monthly payment of $1,000. He needs to purchase a new car for work and estimates that this will add $350 per month to his existing monthly obligations. Max will have $3,000 available after meeting all of his monthly living (operating) expenses. This amount could vary by plus or minus 10%
a. To assess the potential impact of the additional borrowing on his financial leverage, calculate the DFL in tabular form for both the current and proposed loan payments using Max’s available $3,000 as a base and a 10% change.
b. Can Max afford the additional loan payment
c. Should Max take on the additional loan payment
