Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per accoun
t activation fee. Which inequalities can represent this situation if m is the number of songs he can buy? Check all that apply.
2 answers:
Answer:
Step-by-step explanation:
Given that Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee.
This activation fee is once for all and hence fixed independent of the number of songs.
Thus total amount available = 25 dollars
This should be spent for both activation fee and songs
Let number of songs = m
Total cost
This cannot exceed 25 dollars
So the ineqality would be
You might be interested in
Answer:
a. Scatterplot is attached.
b. Positive Correlation
c. Correlation coefficient=0.9219
Step-by-step explanation:
a.
The following procedure will be used to obtain the scatter plot
- Open an Google Sheets file online or excel sheet on your computer.
- In column B and C, enter the Income and Vacation data as provided above.
- Select the data > click on insert CHART.
- Chose Scatter Chart option
- Click OK.
A scatter plot visualizing your data should be displayed as attached.
b.
- On your computer, open a spreadsheet in Google Sheets.
- Double-click on your scatter plot.
- At the right, click on Customize tab and then Series.
- Scroll down and check the Trend line box
-From the trend line, your notice that your variables have a positive correlation.
-As the income increases, so does vacation expenditure.
c. The correlation coefficient can be calculated as follows.
- Click on any empty cell in the sheet and enter the formula
- "=CORREL((y-axis range),(x-axis range))"
- ENTER
-From our Google Sheets calculation our variables have a positive correlation and the correlation coefficient is 0.9219
-The correlation coefficient,r can also be calculated manually:
-let x be income, and y be vacation and divide all the values by 100 to make the smaller and easier to manipulate:
Answer:
The equation for the amount of salary after x number of years is given by:
where
a is the initial amount
x represents the number of years and
r represents the growth rate( in decimal)
As per the statement:
You begin your first day as a police officer earning $30,000/yr
⇒ a= 30,000
It is also given that you obtain a full 5% increase each year,
⇒
then;
....[1]
we have to find the salary in three years.
⇒
Substitute this value in [1] we have
Simplify:
therefore, your salary be in three years will be $34,4728.75
Answer:
After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.
Step-by-step explanation:
The average blood alcohol concentration (bac) is modeled by the following function.
In which t is measured in minuted.
How rapidly was the BAC increasing after 5 minutes?
This is c'(t) when t = 5.
Using the derivative of the product.
Derivative of the product:
In which problem:
So
After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.