Answer:
Approximately $584.43
Step-by-step explanation:
Your formula is A=Pe^rt
A is what you're looking for, the amount
P is the principal aka what you put into the account: $150
e is the mathematical constant. You'd plug that into your calculator.
r is the rate, you'd put it into the equation as a decimal: 8%=.08
t is the time in years: 17
A=150e^.08x17 <em>you can plug this into your calculator</em>
A=$584.43
Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067
Step-by-step explanation:
Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancy of the brand of tire in miles.
µ = mean
σ = standard deviation
From the information given,
µ = 40000 miles
σ = 5000 miles
The probability that a randomly selected tire will have a life of exactly 47,500 miles
P(x = 47500)
For x = 47500,
z = (40000 - 47500)/5000 = - 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.067
You can find the approximate value of h in this the same way you could with an algebraic expression.
h - 3 < 5
+3
h < 8