Answer:
No solutions.
Step-by-step explanation:
5x = 8x^-1/3
Divide 8 into both sides.
5/8x = x^-1/3
Divide both sides by x.
5/8 = x^-4/3
Multiply both sides by the exponent -3/4.
5/8^-3/4 = x
1.422624 = x
Plug in 1.422624 for x to check.
It does not work. There are no real solutions.
Answer:
what does oc mean?
Step-by-step explanation:
To model this situation, we are going to use the exponential function:

where

is the initial number of cars

is the growing rate in decimal form

is number of tames the growing rate is increasing per year

is the time in years
To convert the growing rate to decimal form, we are going to divide the rate by 100%


Since the growing rate is increasing quarterly,

. We also know that the initial number of cars is 920, so

. Lets replace all those values in our function:



We can conclude that:
Rate ---------> The quarterly rate of growth is 0.03 or 3%
Exponent --------> The compound periods multiplied by the number of years is 4t
Coefficient--------> The initial number of cars serviced is 920
Base------> The growth factor is represented by 1.03
Answer:
Looking for four values or answers
(A) 5.05
(B) 13
(C) $254,140.33
(D) $254,145.38
Step-by-step explanation:
(A) The value of the margin of error.
Using a 90% confidence level or 0.10 alpha level,
1 - alpha = 1 - 0.10 = 0.90
The degrees of freedom = n - 1 = 14 - 1 = 13
Using the t table, 0.90 under 13 is 1.350
Sample size divided by √n is equal to
14/√14 = 3.742
1.35 × 3.742 = 5.05
(B) 13 degrees of freedom
(C) To find the lower and upper limits, you find the mean value first and then subtract / add to half of the margin of error which is 5.05÷2 = 2.525
Adding the 14 values together, you have $3,558,000
Dividing by 14 to get the mean;
Mean = $254,142.8571
Lower Limit: $254,140.33
Upper Limit: $254,145.38