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:
(98/100)*110 = $107.8
Step-by-step explanation:
Finding the sample size for estimating a population proportion.
The formula is:
n = (z/m)^2 p~(1−p~)
where:
Z is the z value of the confidence level where 95% is equal to 1.96
M is the margin of error where 0.05
And p~ is the estimated value of the proportion where it is 0.50
Solution:
n = (1.96/0.05)^2 (0.5) (1-0.5)
= 1.536.64 (0.5) (0.5)
= 768.32 (0.5)
= 384.16
This is the minimum sample size, therefore we should round it up to 385. The answer is letter c.
Answer:
x = 6
Step-by-step explanation:
The midsegment of a trapezoid is the line parallel to the parallel sides of the trapezoid, which connects the midpoints of the non-parallel sides.
The length of the midsegment of the trapezoid is half the sum of the length of the parallel sides.
i.e,
Length of the midsegment = (1/2) *(Length of base1 + Length of base2)
6x - 24 = (1/2) * (5 + 2x + 7)
12x - 48 = 2x + 12
10x = 60
x=6
∴ x = 6
When using the Law of Sines the ambiguous case can result.
Source:
http://www.1728.org/trigtut2.htm
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