We already know that the area of the rectangle increased by a square of the factor 7. So the dilated area of it (which we will call "Ad"), is:
Ad= (47)(7^2)
Ad= 47x49
Ad= 2303 m^2
What is the area of the dilated rectangle? The area of the dilated rectangle is 2303 m^2.
Answer:
432 cards and 72 stickers
Explanation:
1 pack=12 cards + 2 stickers
So if we want 36 packs..
36 packs=433 cards + 72 stickers
We times everything by 36!
Answer:
25306
Step-by-step explanation:
a=starting value = 20000
r=\text{rate = }4\% = 0.04
r=rate = 4%=0.04
\text{Exponential Growth:}
Exponential Growth:
b=1+r=1+0.04=1.04
b=1+r=1+0.04=1.04
\text{Write Exponential Function:}
Write Exponential Function:
y=20000(1.04)^x
y=20000(1.04)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=20000(1.04)^{6}
y=20000(1.04)
6
y= 25306.38037
y=25306.38037
The starting value is 20,300, and the value is decreasing by 9.5% each year.
Because it decreases by 9.5% each year based on the previous amount, we use an exponential decay model.
A decrease by 9.5% corresponds to multiplying by 91.5% each year.
We write . We plug in 11 years for t.
$7,671.18
Answer:
(5x-4)(x+1)
Step-by-step explanation: