Approximate the area under the curve and above the x-axis using n rectangles. Let the height of each rectangle be given by the value of the function at the right side of the rectangle.f(x) = 2x2 + x + 3 from x = -2 to x = 1; n = 6

A. 9
B. 7
C. 13
D. 11


Answer: C

Mathematics

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At age 25 you start to work and are offered two retirement options.

? Retirement option 1: When you retire, you receive a lump sum of $25,000 for each year of service. ? Retirement option 2: When you start to work, the company will deposit $10,000 into an account that pays a yearly compound interest rate of 13%. ? A: Write a formula that gives your retirement payment , in dollars, if you retire after t years of service under retirement option 1. ? B: Write a formula that gives your retirement payment , in dollars, if you retire after t years of service under retirement option 2. ? C: Make a graph that shows the retirement payment for each option over the 40 years of service. ? D: How many years of service will result in the same payment from either option? (You will work more than 1 year.) Round your answer to two decimal places if necessary. ? What will be an ideal response?

Mathematics

The quantity demanded each week x (in units of a hundred) of the Mikado miniature camera is related to the unit price p (in dollars) by the demand equation .


Is the demand elastic or inelastic when ?
?
__________
?
Is the demand elastic or inelastic when ?
?
__________
?
When is demand unitary? If it is necessary round the answer to two decimal places.
?
Hint: Solve  for p.
?
p = __________
?
If the unit price is lowered slightly from $18, will the revenue increase or decrease?
?
__________
?
If the unit price is increased slightly from $24, will the revenue increase or decrease?
?
__________

What will be an ideal response?

Mathematics

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.(x + 9) + 9 as 18 + x

What will be an ideal response?

Mathematics

Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation.32 + 63 + 94 + . . . + 249 

A.
B.
C.
D.

Mathematics