Answer:
First one: C. Second One:C.
Step-by-step explanation:
Kate purchased a car for $23,000. It will depreciate by a rate of 12% a year. What is the value of the car in 4 years?
a) $13,935.76
b) $12,874.57
c) $13,792.99
To solve this this is an exponential function. The price started at $23,000 and depreciates at 12% so the equation is f(x) = (23,0000)(1-0.12)^4. When calculated results with 13792.99328 which is C.
A rare coin is currently worth $450. The value of the coin increases 4% each year. Determine the value of the coin after 7 years.
a) $613.98
b) $546.78
c) $592.17
To solve this this is also an exponential function. The price started at $450 and the coin increases 4% each year so the equation is f(x) = (450)(1+0.04)^7. When calculated results with 592.169300656 which is c.
Answer:
Either one of these.
Step-by-step explanation:
volumepile=1/3 (PI r^2)h
but r=h/2, so
volume=1/12 PI h^3
dv/dt=10 ft^3/min
but dv/dt=1/12 PI 3h^2 dh/dt
solve for dh/dt
This assumes you mean by "altitude" the height. If you mean altitude as slant height, you have to adjust the fromula
_______________________________________________
given: r = h/2
V = (1/3)π r^2 h
= (1/3)π (h/2)^2 (h)
= (1/12) π h^3
dV/dt = (1/4)π h^2 dh/dt
for the given data ...
10 = (1/4)π(25)dh/dt
dh/dt = 10(4)/((25π) = 1.6/π feet/min
This is tricky but I worked out the answer is A
Answer:
31 degrees
Step-by-step explanation:
well each three point of a triangle equals 180
so 20+35= 55 180-55= 125
now if the exterior angle is 156 and it should equal 180 the interior angle would be 24 degrees
now we have 24 and 125 so angle ? = 31
Answer: you can rent the kayak for 5.3 hours
Step-by-step explanation:
Total amount of money that you have to spend at the beach is 50.
A kayak cost 5 per hour to rent. This means that if you rent the Kayak for X hours, the amount that you will spend would be 5×x = 5x. I buy lunch for 8.50. I want to save 15 for food later. This means that total amount of money spent is the sum of money spent in renting the kayak and buying of lunch.
Total amount spent = 5x + 8.50
Total amount spent + Total amount that you want to save = Total amount of money that you have to spend at the beach. Therefore
5x + 8.50 + 15 = 50 - 15 - 8.5 = 26.5
x = 26.5/5 = 5.3
