First we need to find the total annual costs for both the plans.
In case of leasing:
Fixed monthly cost = $420
So, yearly cost = 420 x 12 = $5040
Cost per mile = $0.08
For x miles driven, the cost per year for leasing will be = 5040 + 0.08x
In case of purchasing:
Fixed yearly cost = $4600
Cost per mile = 0.10
For x miles driven, the cost per year for leasing will be = 4600 + 0.10x
We want to find for what number of miles will the cost of leasing will be no more expensive than the cost of purchasing.
So,
Cost of leasing ≤ Cost of purchasing
5040 + 0.08x ≤ 4600 + 0.10x
440 ≤ 0.02x
22000 ≤ x
Thus, if if the number of miles driven are equal to or less than 22,000 leasing will be no more expensive than purchasing.
Answer:
The balance after 4 years would be $1,380.05.
Step-by-step explanation:
Given that you deposit $ 1,200 in a bank account, to find the balance after 4 years in the account pays 3.5% annual interest compounded monthly, the following calculation must be performed:
1,200 x (1 + 0.035 / 12) ^ 4x12 = X
1,200 x 1.00291666 ^ 48 = X
1,380.05 = X
Therefore, the balance after 4 years would be $1,380.05.
Answer:
sure prob wont add uo to you but i
Step-by-step explanation:
x
=
−
5
±
√
17
2
Decimal Form:
x
=
−
0.43844718
…
,
−
4.56155281
…
Written in standard form, y decreased by 25 = 10 is y - 25 = 10
Now let's solve:
y - 25 = 10
y = 10 + 25
y = 35
to check:
35 - 25 = 10
so, y equals 35
Answer:
By 71 years of age 80% of the plan participants have passed away.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 68 years and a standard deviation of 4 years.
This means that 
By what age have 80% of the plan participants passed away?
By the 80th percentile of ages, which is X when Z has a p-value of 0.8, so X when Z = 0.84.
By 71 years of age 80% of the plan participants have passed away.
