Answer:
f(t) = 1.22·(173/122)^(t/5)
Step-by-step explanation:
(a) An exponential growth (or decay) function can be written using the form ...
f(t) = (initial value)·(ratio in period)^(t/period)
Here, we're given an initial value of 1.22, a growth ratio of 1.73/1.22 in a period of 5 years, so we can write the function as ...
f(t) = 1.22·(173/122)^(t/5)
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(b) In 2038-2012 = 26 years, the value of the function is ...
f(26) = 1.22·(173/122)^(26/5) ≈ 7.50 . . . . million
Answer:
Step-by-step explanation:
Given
The attached triangle
Required
Find y
The attached triangle is isosceles; so:
Also, we have:
--- angles in a triangle
Substitute:
Collect like terms
Set up a proportion
EA / EB = ED/ EC
16 / (5x + 2 + 16) = 12 / (12 + 24)
16/(5x + 18) = 12 / 36 Cross multiply
16 * 36 = (4x + 18)*12 Remove the brackets
576 = 48x + 216 Subtract 216 from both sides.
360 = 48x Divide by 48
360/48 = x
7.5 = x
Answer:
7/2
Step-by-step explanation:
3 wholes is equal to 6 halves plus a half equals 7 halves
Answer: Below the solid line
Step-by-step explanation:
-4y - x ≥ 7
add x to both sides
-4y ≥ x + 7
divide by -4 on both sides
y ≤ -1/4x - 7/4 = (1.75)
Take the origin (0,0) and substitute it for the variables
y(0) ≤ -1/4(0) - 7/4
0 ≤ -7/4 = (1.75)
This statement is false, so you would shade on a graph, below the solid line, since this is where the origin would not be.
The line would be solid because the < is underlined.
