Suppose that money is deposited in a savings account at a steady rate of $150 per month. If the account pays 2.5% interest compounded continuously, how much will be in the account at the end of 3 years? Enter your answer in the form a(eb ± c) where b is a real number to three decimal places (no units).
What will be an ideal response?
72,000(e0.075 - 1)
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Solve the problem.A motorcycle daredevil is planning a stunt to perform at a county fair. A ramp must be built to give him a 20% grade, or slope. If the vertical height at the end of the ramp must be 15 ft to assure that the stunt is a success, what must be the length of the horizontal run?
A. 15 ft B. 75 ft C. 2.7 ft D. 270 ft
Find the point at which the given function is discontinuous.
Solve the problem.A projectile is fired from a height of 6.6 feet with an initial velocity of 126 ft/sec at an angle of 44° with the horizontal. The parametric equations for the path of the projectile are x = (126 cos 44°)t, and y = 6.6 + (126 sin 44°)t - 16t2,where x and y are in feet and t is in seconds. Determine the rectangular equation describing the path of the projectile.
A. y = 6.6 + 126x tan 44° - x2
B. y = 6.6 + 126x tan 44° - x2
C. y = 6.6 + x tan 44° - x2
D. y = 6.6 + x tan 44° - x2
Solve the problem.32° Fahrenheit = 0° Celsius. A function that converts temperatures in Celsius to those in Fahrenheit is Fahrenheit. Find a formula for the inverse of this function.
A. f-1(x) = (x + 32)
B. f-1(x) = x + 32
C. f-1(x) = (x - 32)
D. f-1(x) = x + 32