Complete Question
Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $45 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.
Answer:
1/2m + 45
Step-by-step explanation:
We are told in the question that:
On the drive home, she buys $45 worth of gasoline.
Her friend Melody pays for one-half the cost of the car rental only.
Sophie pays m dollars to rent a car for the weekend.
The amount sophie pays for car rental = m - 1/2m
= 1/2m
Therefore, the expression used to determine how much sophie spent is written as:
1/2 × $m + $45
1/2m + 45
Answer: 13%
Step-by-step explanation:
We know that the formula to find the simple interest :
, where P is the principal amount , r is rate (in decimal )and t is the time period (in years).
Given : Albert borrowed $19,100 for 4 years. The simple interest is $9932.00. Find the rate.
i.e. P = $19,100 and t= 4 years and I = $9932.00
Now, Substitute all the values in the formula , we get
![9932=(19100)r(4)\\\\\Rightarrow\ r=\dfrac{9932}{19100\times4}\\\\\Rightarrow\ r=0.13\ \ \ \text{[On simplifying]}](https://tex.z-dn.net/?f=9932%3D%2819100%29r%284%29%5C%5C%5C%5C%5CRightarrow%5C%20r%3D%5Cdfrac%7B9932%7D%7B19100%5Ctimes4%7D%5C%5C%5C%5C%5CRightarrow%5C%20r%3D0.13%5C%20%5C%20%5C%20%5Ctext%7B%5BOn%20simplifying%5D%7D)
In percent, 
Hence, the rate of interest = 13%
Only the last two options are true.
The first one is false, because 4.5 is the value of the maximum of f(x), not the point where it is reached.
The second one is false, because g(x) has a maximum of 9, so it is a downward-facing parabola (just like f(x)), so it doesn't have a minimum.
The third one is true, because the maximum value of f(x) is 4.5, and the maximum value of g(x) is 9, which is twice the maximum of f(x)
The last one is false (see point 2).
We have been given the equation
It represents the number of people standing to catch a commuter train x hours after 5 A.M.
Now, in order to find the number of people in line at 7 a.m. , we need to substitute x= 2 in the above equation.
Therefore, the number of people in the line at 7 a.m. is 40
D id the correct option.
