By using cross mutliplication, there are 24 gallons in the water tank after 30 minutes.
<h3>How to estimate the filling time of a water tank by cross multiplication</h3>
According to the statement the water tank is full at constant rate, 10 % tank capacity per each 5 minutes. The tank has a capacity of 40 gallons. The gained capacity is determined by the following cross multiplication, where the water capacity is directly proportional to filling time:
x ∝ t
x = (n / 100) · V × (T / t) (1)
Where:
- n - Initial capacity percentage of the water tank, in percentage.
- V - Full capacity of the water tank, in gallons.
- T - Final time, in minutes.
- t - Initial time, in minutes.
x = [0.1 · (40 gal)] × (30 min / 5 min)
x = 24 gal
There are 24 gallons in the water tank after 30 minutes.
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Answer:
The domain is (-∞,∞)
Step-by-step explanation:
Since there's no limit to this function, the values are infinity.
Answer:
If the account earns annual compound interest rather than annual simple interest, the account earns extra $1955.62
Step-by-step explanation:
Given :
Principal amount P = $5000
Annual interest rate r = 4% = 4/100 = 0.04
time t = 20 years
First we have to calculate account balance when account earns annual simple interest. We know that the formula is
A = P(1+rt)
= 5000 (1+ (0.04 x 20))
= 5000 (1.8)
= 9000
Interest earned for annual simple interest = 9000 - 5000
= 4000
Now we will calculate account balance when account earns annual compound interest. The formula is
A = P
Since here interest is compounded annually, n =1, hence we get
A = P
= 5000 
= 10955.62
Interest earned for annual compound interest = 10955.62 - 5000
= 5955.62
The extra interest earned = 5955.62 - 4000
= 1955.62
Hence f the account earns annual compound interest rather than annual simple interest, the account earns extra $1955.62
1.y<=1-3x, the slope is the number with x so -3, and the y intecept is the lone number so -1 becuase the symbol includes equal to, the graph would have a solid line that passes through (0,1) and since it is also less than the shaded region would be below the line so the answer is D
2. -1x2 = -2 +-1 = -3 which is greater than -3, the answer is A
3. y-2x =-3, -1 - 2(1) = -1-2 = -3 this is less than or equal to -3. Answer is D
4 the symbol is greater than or equal to, so it would be a solid line with the shaded portion to the right of the line, Answer is A
5. the symbol is just greater than so the line would be dotted and the answer is negative (-6) so the shaded are would be to the left of the dotted line, the answer is D
Answer:
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Step-by-step explanation:
