Answer:
Step-by-step explanation:
The heights of neither the rectangular prism nor the triangular prism are given, so we don't know the volume of either.
If h is the height of the rectangular prism, then its volume is
6×8×h = 48
if the height of the triangular prism is h/2, then its volume is
(1/2)×24×8×(h/2) = 48
So we know the volumes are the same -- but we don't know what that volume is.
Let's take as example a linear function of the form:
y = kx.
Where,
k is the constant of proportionality.
Therefore, the proportionality constant is the point:
(x, kx)
Generically it is always the point:
(x, k * f (x))
Where, f (x) is a function proportional to x.
answer:
The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.
Answer: Yes he will be
Step-by-step explanation:
To find out if Ted can afford the car, find the future value of $4,300 in three years.
First convert the number of years and rates to quarterly values as this is the compounding period:
Term = 3 * 4 quarters = 12 quarters
Rate = 5.5% / 4 = 1.375% per quarter
Future value = Amount * ( 1 + rate) ^ term
= 4,300 * ( 1 + 1.375%)¹²
= $5,065.69
<em>Considering that Ted makes $5,065.69 in 3 years, he will be able to buy a car that costs $4,700.</em>
Answer:
4k(2k² - 5k - 4) + 5(2k² - 5k - 4)
8k³ - 20k² - 16k + 10k² -25k - 20
8k³ - 10k² - 41k - 20
Thus its G