PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
1 answer:
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A=future amount
P=present amount
r=rate in decimal
t=time in years
so
when will A=double of original?
or when will A=2P
r=3%=0.03
t=t
divide both sides by P
take ln of both sides
ln(2)=0.03t
divide both sides by 0.03
(ln(2))/0.03=t
use calculator
23.1049=t
so a little over 23 years, about 23 years and 38.2 days
Answer:
a. V = (20-x)
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3 + 40x
Let dV / Dx = 0, we have:
-3 + 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185
Simple, convert it to a decimal, first
move the decimal two places to the left
45%
0.45.
Then you change it into a fraction
45/100.
But, you can simplify it even more by dividing the numerator and denominator by 5.
45/5=9
and
100/5=20
Thus, it would be simplified, 9/20.
move the decimal two places to the left
45%
0.45.
Then you change it into a fraction
45/100.
But, you can simplify it even more by dividing the numerator and denominator by 5.
45/5=9
and
100/5=20
Thus, it would be simplified, 9/20.