Solve the problem.How long will it take for $3600 to grow to $47,900 at an interest rate of 8.2% if the interest is compounded quarterly? Round the number of years to the nearest hundredth.

A. 127.54 yr
B. 31.89 yr
C. 32.84 yr
D. 163.92 yr


Answer: B

Mathematics

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Simplify. Your answer should be in lowest terms. -  

A.
B.
C.
D.

Mathematics

Figure (a) shows a vacant lot with a 80-ft frontage in a development. To estimate its area, we introduce a coordinate system so that the x-axis coincides with the edge of the straight road forming the lower boundary of the property, as shown in Figure (b). Then, thinking of the upper boundary of the property as the graph of a continuous function f over the interval [0, 80], we see that the problem is mathematically equivalent to that of finding the area under the graph of f on [0, 80]. To estimate the area of the lot using a Riemann sum, we divide the interval [0, 80] into four equal subintervals of length 20 ft. Then, using surveyor's equipment, we measure the distance from the midpoint of each of these subintervals to the upper boundary of the property. These measurements give the

values of f(x) at x = 10, 30, 50, and 70. What is the approximate area of the lot?
?

?

?

A. 7,860 sq ft
B. 7,980 sq ft
C. 7,910 sq ft
D. 7,890 sq ft

Mathematics

Solve the system of equations by the elimination method. Check your solutions. For any dependent equations, write your answer in the ordered pair form.

A. {(-5, -6)} B. ? C. {(-6, 0)} D. {(-5, -1)}

Mathematics

Provide an appropriate response.The number of loaves of whole wheat bread left on the shelf of a local quick stop at closing (denoted by the random variable X) varies from day to day. Past records show that the probability distribution of X is as shown in the following table. Find the probability that there will be at least three loaves left over at the end of any given day. 

A. 0.20 B. 0.65 C. 0.35 D. 0.15

Mathematics