Answer:

Step-by-step explanation:
remaining cups = total cups - used caps
let remaining cups be = x
total cups = y = 8
used cups = z= 
Hence x = y-z
x = 8 - 
=
-
=
=
= 
x= 
Remaining cups = 
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-10 < x - 9
Add 9 to both sides:
-1 < x
The correct answer would be option C
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x intercept of 6 means (6,0) is on the line
y intercept of 0 means (0,0) is on the line
so the slope is (0-0)/(6-0) = 0
Answer: 0
Note: The question is actually bad; the line through the origin with slope zero is the X axis itself in which case it wouldn't be right to call the X intercept (just) (6,0).
We can make and use the equation: <em>A = 160( 1.03 )^y</em>: A = amount, 160 = amount put in, 1 + .03 = 1.03 = interest, and y as the number of years, as the money is compounded every year. (This is the compound interest equation, but I put in the numbers)
A) 160 * 1.03 = $164.80, 160 * 1.03² = $169.744 ≈ $169.74
B) 160 * 1.03⁵ = 185.48385 ≈ $185.48
The expression is the same as saying (((((160 * 1.03)1.03)1.03)1.03)1.03). This is like multiplying 160 * 1.03, which gives the amount for the first year. Then, that amount is multiplied by 1.03, which is the amount for the second year. This isi repeated until 5 years.
C) 160(1.03)³⁰