Answer:
B. 10 months
Step-by-step explanation:
The balance on the loan will be ...
b = 1600 - 80t . . . . . . where t is the number of months of payments
The balance in the savings account will be ...
s = 500 + 25t
The savings account balance will be at least as much as the loan balance when ...
s ≥ b
500 +25t ≥ 1600 -80t . . . substitute the account balance expressions
105t ≥ 1100 . . . . . . . . . . . . add 80t -500
t ≥ 1100/105 ≈ 10.48 ≈ 10
It will take Josh 10 months to have enough savings to pay the loan in full.
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<em>Comment on rounding</em>
IMO, it makes no sense to round down, as Josh will NOT have enough in 10 months. He will have enough after he makes one more payment of $80. At 10 months, the loan balance is $50 more than the savings balance. It will be 11 months before there is enough savings to pay off the loan.
Answer:
95.4% of family vehicles is between 1 and 3 years old.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 2
Standard Deviation, σ = 6 months = 0.5 year
We are given that the distribution of age of cars is a bell shaped distribution that is a normal distribution.
Formula:
P(family vehicles is between 1 and 3 years old)
95.4% of family vehicles is between 1 and 3 years old.
It is given that .
Now, know that in 180 degrees there are radians. This can be written as:
radians
radians (dividing both sides by 180)
Thus, to find the measure of the given angle of in radians, we will have to multiply the above equation by 135. Thus, we get:
radians
radians
Thus, equivalent to the radian measure of angle a is 2.356