Answer:
Distance = 21 miles.
Step-by-step explanation:
Let x be the distance in miles between the airport and Ann's home.
We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile. So fare for x miles will be 2.10x.
We are also told that she gave the driver a tip of $5. Ann paid a total of $49.10. This means that fare of x miles and tip given to driver equals $49.10. We can represent this information in an equation as:
Now let us solve our equation.
Therefore, the equation represents the distance in miles between the airport and Ann's home and distance between Ann's home and airport in 21 miles.
Mason compared the number of free throws made to the number of free throws missed. The probability would actually be 2/5 becahse 18+12 is 30, giving you your denominator, then you made 12. So, simplifying 12/30 gives you your probability of 2/5.
Hope this helps you!
The answer is <span>amplitude = 2 feet; period = 24 hours; midline: y = 3
x1 - the lowest point
x2 - the highest point
x1 = 1 ft
x2 = 5 ft
t1 = 0
t2 = 24
The amplitude is: (x2 - x1)/2 = (5 - 1)/2 = 4/2 = 2 ft
The period is: t2 - t1 = 24 - 0 = 24 h
The midline is: (x1 + x2)/2 = (5 + 1)/2 = 6/2 = 3 ft</span>
Answer: the interest rate is 6%
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
A = $4482
P = 1000
t = 25 years
Therefore,
4482 = 1000 x 2.7183^(r x 25)
4482/1000 = 2.7183^25r
4.482 = 2.7183^25r
Taking ln of both sides, it becomes
Ln 4.482 = 25rLn2.7183
1.5 = 25r
r = 1.5/25 = 0.06
r = 0.06 × 100 = 6%
Answer: Mapping Diagram, Graph and Table
Step-by-step explanation: I just got the answer right on a quiz
