Answer:
A) In the table, we can see that from one pair (x,y) to the next one, x-variable increase in 10 units and y-variable increase in 80 units. This is valid for all pairs (x,y), which mean that there is a linear relationship between these variables.
B) slope (m) = y-variable increment / x-variable increment = 80/10 = 8
the coordintae (0, 120) indicates that 120 is the y-intercept (b) of the line
Equation of a line in the slope y-intercept form:
y = mx + b
y = 8x + 120
C) The y-intercept indicates the number of products produced monthly without employees.
The slope indicates how much the production increase with a new employee.
You don't have to give me that many points. :)
OK so let's write this in equation form. First thing we think about is if the equation arithmetic (they add the same amount of money each week) or geometric (they add steadily increasing or decreasing amounts of money each week). Since Nancy and Fred add a fixed amount of $3 and $1 respectively, we're going to call them arithmetic sequences.
The equation for an arithmetic sequence is
an=a0+dn, where d is the amount of money added every week, n is the week number they're on and a0 is the amount of money they would've had a week before the first week. I'll explain this more in detail.
So Nancy increases by $3 every week: d=3. n is what we want to find. She starts out with $15. Imagine she had the same rule (increasing by $3) but started a week earlier. The term before 15 is 12. So a0 is 12. Her equation is an=12+3n. Let's do the same for Fred.
Fred increases by $1 and if he started a week earlier, he would've started with $14, so his equation is an=14+n. Now you want to find n so that Nancy's account (the first equation equals two times as much money as Fred has (the second equation.
So 12+3n=2(14+n).
Solving for n,
12+3n=28+2n
Combine like terms, so subtract 2n from both sides and then subtract 12 from both sides.
12+n=28
n=16
So on the 16th week, Nancy will have twice as much money as Fred. Hope this helped!
<u>ANSWER: </u>
Amount terry was charged in interest for the billing cycle is $ 4.9 approximately.
<u>SOLUTION:
</u>
Given, Terry has a credit card that uses the average daily balance method for the first 18 days of one of his billing cycles, his balance was $350, and for the last 12 days of the billing cycle, his balance was $520.
His credit cards APR is 14%
Using the average daily balance method, the amount to be used in calculating Theresa's interest is given by:
Therefore, the interest charge on Theresa for the biling cycle is given by:
hence, amount terry was charged in interest for the billing cycle is $ 4.9 approximately.
Answer:
Step-by-step explanation: The first one is D
Answer:
There are many way to solve this problem. But I'm using one X = 5 and X = 8.
Step-by-step explanation:
5 x 10 = 50
50 + 2 = 52
52 + 12 = 64
Heads up
4 + 8 = 12