This is a 2 part question, so we will go step by step
Since Angel makes 13.50 an hour, and she works 40 hours a week, we have to make an equation and solve it.
First, let's make the equation, and we should multiply. Why?
Because finding out how much she made in a week would make it easier to find out how much she makes in a year. To find out how much she makes in a week, we need to add 13.50 40 times, and multiplication is an easier way of doing that.
Now to set it up, 40 is the number we are multiplying by (Because 40 is how many hours she works, and 13.50 is how much she makes in that hour)
and 13.50 is the number getting multiplied
Now we insert numbers into typical multiplication format
13.50 x 40 = ?
Now we solve
13.50 x 40 = 540
So she makes 540 dollars in a week, now we need to multiply that by the number of weeks they are in a year and we are done.
With a little help from Google, we can learn that there are in 52.1 weeks<span> in a common year.
Now we do the same thing we did the last time and insert our numbers into the equation.
(52.1 is what we are multiplying by, and 540 is the number that is getting multiplied.)
540 x 52.1 = ?
Solve
</span>540 x 52.1 = 28,134
She makes <span>28,134 in a year
</span>
Hope this helped!
The total cost of the meal will be $54.
45 + 20% = 54
The exponential function shown in the graph is 3^x, so (1/2)3^x is a shrink of it.
Selection B is appropriate.
Answer:
The exponential function to model the duck population is:
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Step-by-step explanation:
In order to calculate the duck population you can use the formula to calculate future value:
FV=PV*(1+r)^n
FV=future value
PV=present value
r=rate
n=number of periods of time
In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:
f(n)=415*(1+0.32)^n
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Answer:
∴ Constant of Proportionality is 32
Step-by-step explanation:
Here Given;
(equation-1)
(equation-2) (divide with 'g' on both side)
We know,
The Constant of Proportionality equation is given;
(equation-3)
Where 'k' is known as Constant of Proportionality.
Comparing equation-1 and equation-3;
and 
Now equation-2 become;

Plug
and
in above equation;
(equation-4)
By comparing equation-2 and equation-4;

So Constant of Proportionality is 32