Solve the problem.After being in business for t years, a manufacturer of radios is making  units per year. The sales price in dollars per unit is calculated by using the formula  Write a formula for the manufacturer's yearly revenue R(t) after t years.

A. R(t) = 
B. R(t) = (1500 + 400t + 30t2) - (30 + 3t)
C. R(t) = (1500 + 400t + 30t2) + (30 + 3t)
D. R(t) = (1500 + 400t + 30t2)(30 + 3t)


Answer: D

Mathematics

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Find the indicated limit or state that it does not exist. 

A. 10 B. 0 C. 5 D. No limit

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Solve. Round to the nearest hundredth, if necessary.According to Ohm's law, the electric current I, in amperes, in a circuit varies directly as the voltage V. When 17 volts are applied, the current is 4 amperes. What is the current when 21 volts are applied?

A. 89.25 amperes B. 42 amperes C. 4.25 amperes D. 4.94 amperes

Mathematics

Solve the problem.A biologist has a bacteria sample. She records the amount of bacteria every week for 8 weeks and finds that the exponential function of best fit to the data is A = 150 ? 1.79t. Express the function of best fit in the form  Round values to the nearest hundredth if necessary.

A. A = 87.33e0.58t B. 87.33e1.79t C. A = 150e0.58t D. A = 0.58e150t

Mathematics

The number of lumens (time rate of flow of light) L from a fluorescent lamp can be approximated by the model ? L = -0.294x2 + 97.744x- 664.875,         20 ? x ? 90 ? where x is the wattage of the lamp. ? Use a graphing utility to select the graph of the function. Use the graph to estimate the wattage necessary to obtain 2400 lumens. ?

A. ?

40W


B. ?

30W


C. ?

45W


D. ?

25W


E. ?

35W


Mathematics