Write the formula using the "language" of variation. f-stop = f/D, where f-stop is camera setting with a lens with focal length f and diaphragm opening D

What will be an ideal response?


A camera's f-stop varies directly as the lens focal length and inversely as the diaphragm opening.

Mathematics

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Solve the variation problem.The amount of simple interest earned on an investment over a fixed amount of time is jointly proportional to the principle invested and the interest rate. A principle investment of $3200.00 with an interest rate of 8% earned $1280.00 in simple interest. Find the amount of simple interest earned if the principle is $4600.00 and the interest rate is 6%.

A. $1840.00 B. $960.00 C. $1380.00 D. $138,000.00

Mathematics

Starting in the year 2000, the number of speeding tickets issued each year in Middletown is predicted to grow according to an exponential growth model. During the year 2000, Middletown issued 200 speeding tickets  Every year thereafter, the number of speeding tickets issued is predicted to grow by 10%.For each speeding ticket issued, Middletown charges $50. Approximately how much money did Middletown earn from speeding tickets during the time period 2000-2025?

A. $541,750 B. $21,850 C. $300 D. $1,091,800 E. $108,350

Mathematics

Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = 3i - 5j, w = -3i + j

A. v1 = - (-3i + j), v2 = i - j
B. v1 = - (-3i + j), v2 = i - j
C. v1 = - (-3i + j), v2 = - i - j
D. v1 = - (-3i + j), v2 = i - j

Mathematics

Solve the problem.The six Cane brothers spent $59.76, $60.83, $44.37, $86.93, $56.70, and $78.20 on groceries. Find the mean grocery bill.

A. $65.36 B. $96.70 C. $64.47 D. $77.36

Mathematics