<h3>
Answer: 2x+4y+12z (choice B)</h3>
Work Shown:
x = amount of rent paid per half year
2x = amount of rent paid annually
y = amount spent on groceries per quarter
4y = amount spent on groceries annually
z = amount spent on a transit pass monthly
12z = amount spent on transit pass annually
2x+4y+12z = total amount of money spent annually
Answer:
60%
Step-by-step explanation:
12 kids played. 8 didn't play. That means there is a total of 20 students.
The fraction would be 12/20.
To make it into a percent, divide 100 by the denominator (20) and multiply it by the numerator (12)
100 divided by 20 is 5
12 x 5 = 60
<span>Some equivalent fractions of 4/15 are: 8/30 = 12/45 = 16/60 = 20/75 = 24/90 Hope this helps</span>
Answers:
a) See the table below
b) The equation is 
c) $40,024.02
d) See the graph below
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Explanations:
a)
Start with part (b) where I detail how to get the equation.
Once the equation is found, plug in x = 0 to get

Repeat for x = 1

Repeat for x = 2, x = 3, x = 4 and x = 20 to get the table shown below.
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b)
The template for any exponential equation is 
a = starting amount = 32000
b = growth factor
The annual interest rate is 4.5%
We compound quarterly, so the quarterly rate is (4.5%)/4 = 1.125% which converts to the decimal form 0.01125; adding one to this leads to the growth factor of b = 1.01125
We go from
to 
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c)
Plug in x = 20 to represent 20 quarters have elapsed (aka 20/4 = 5 years)

The investment would be worth $40,024.02 after five years, aka twenty quarters.
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d)
See below for the graph. I'm using GeoGebra to make the graph. Another option is Desmos. It's preferable to use technology than to graph by hand. If you wanted to graph by hand, then you'd plot each of the points found in the table. Then draw a curve through all those points.