Calculate the limit algebraically.
?
?
?
A. 75
B. 77
C. 38.5
D. 2
E. -77
Answer: B
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Solve the problem.The following bar graph shows the average annual income for single mothers.
i) Determine a linear function that can be used to estimate the average yearly income for single mothers from year 0 through year 5. Let t represent the year.ii) Using the function from part i, determine the average yearly income for single mothers in year 3.iii) Assuming this trend continues, determine the average yearly income for single mothers in year 13.iv) Assuming this trend continues, in which year will the average yearly income for single mothers reach $33,000?
A.
| i) | I(t) = 775.8t + 24,269 |
iii) $34,354.40
iv) year 12
B.
| i) | I(t) = 775.8t + 24,269 |
iii) $34,354.40
iv) year 12
C.
| i) | I(t) = 770.8t + 24,269 |
iii) $34,289.40
iv) year 12
D.
| i) | I(t) = 775.8t + 24,269 |
iii) $34,354.40
iv) year 13
Solve the equation for the indicated variable. Assume that the dimensions are such that matrix multiplication and addition are possible and that inverses exist when needed.Solve for Y: XY + ZY = A
A. Y = X-1(A - ZY) B. Y = (X + Z)-1 A C. Y = X-1(A - Z) D. Y = A(X + Z)-1
Use synthetic division to find the quotient and the remainder.x5 - 4x4 - 9x3 - 15x2 - 16x - 11 is divided by x - 6
A. x4 + 2x3 + 3x2 + 3x + 1; remainder 0 B. x4 + 2x3 + 3x2 + 3x + 2; remainder 1 C. x3 + 2x2 + 3x + 3; remainder 1 D. x4 + 2x3 + 3x2 + 3x - 2; remainder 3
Solve the problem.The length of a vegetable garden is 4 feet longer than its width. If the area of the garden is 165 square feet, find its dimensions.
A. 12 ft by 16 ft B. 11 ft by 15 ft C. 10 ft by 14 ft D. 10 ft by 16 ft