Answer:
the container is 1/4 full at 9:58 AM
Step-by-step explanation:
since the volume doubles every minute , the formula for calculating the volume V at any time t is
V(t)=V₀*2^-t , where t is in minutes back from 10 AM and V₀= container volume
thus for t=1 min (9:59 AM) the volume is V₁=V₀/2 (half of the initial one) , for t=2 (9:58 AM) is V₂=V₁/2=V₀/4 ...
therefore when the container is 1/4 full the volume is V=V₀/4 , thus replacing in the equation we obtain
V=V₀*2^-t
V₀/4 = V₀*2^-t
1/4 = 2^-t
appling logarithms
ln (1/4) = -t* ln 2
t = - ln (1/4)/ln 2 = ln 4 /ln 2 = 2*ln 2 / ln 2 = 2
thus t=2 min before 10 AM → 9:58 AM
therefore the container is 1/4 full at 9:58 AM
Answer:
The missing value = 
Step-by-step explanation:
Given - Equation: ? + 59 5/8= 82 2/3
To find - Explain (in words) what you would do to find the missing value in
the equation. You do not find the missing number.
Proof -
Let the missing number = x
So, the equation becomes x +
= 
⇒x =
-
= 
= 
= 
= 
⇒x = 
∴ we get
The missing value = 
Explanation -
Here we have given the ? with addition of number that is equation to some number.
We just have to subtract the two numbers to find the missing value , as we do above.
Answer:
$3027.80
Explanation:
The compound interest formula is the following.

where
A = final amount
P = principle amount
r = interest rate / 100
n = number of compounds per interval
t = time interval
Now in our case,
A = unknown
P = $1900
r = 10.4/100
n = 12 months / year ( because the interest is compounded monthly)
t = 4.5 yrs
Therefore, the compound interest formula gives

Using a calculator, we evaluate the above to get

which is our answer!
Step-by-step explanation:
1 part of 3 sections of a wall takes 1/4 of an hour, (.25 or 25% of an hour), (15 minutes is 1/4 of 60 minutes), so if it takes 15 minutes for one section to be painted & you have 3 sections,
(15+15+15) or (15×3)
= your answer
I believe the answers are:
(f o g) (2)= 1/17 and (f+g) (2)= 17.5