Answer:
Interest earned is $25.2
Step-by-step explanation:
The formula to find simple interest is:
I = P₀rt
Where
I = interest rate
P₀ = Principal amount
r = interest rate
t= time
5 months = 5/12 years = 0.42 years
I = 1000* 6/100*0.42
I = 1000*0.06*0.42
I = 60*0.42
I = 25.2
Interest earned is $25.2
Answer:
We can measure 4 gallon by successively.
Step-by-step explanation:
We have been given that you have an 8-gallon jug of water and two empty jugs with capacities of 5 gallons and 3 gallons, respectively. We are asked to prove or disprove that you can measure 4 gallon by successively pouring some of or all of the water in a jug into another jug.
First of all, we will pour 5 gallons of water from 8 gallon jug. Then we will pour 5 gallons of water from 5 gallon jug to 3 gallon jug. That will result in 2 gallons of water in 5 gallon jug.
Now, we will pour 3 gallons of water from 3 gallon jug to 8 gallon jug and pour 2 gallons from 5 gallon jug into 3 gallon jug. That will give us 6 gallons in 8 gallon jug and 2 gallons in 3 gallon jug and empty 5 gallon jug.
In our last step, we will fill 5 gallons jug from 8 gallon jug. After filling 5 gallon jug, we will fill 3 gallons jug from 5 gallon jug. Since 3 gallon jug already contains 2 gallons water, so it can only take one more gallon.
After pouring one gallon from 5 gallon jug, we will get 4 gallons water in 5 gallon jug.
Therefore, we can measure 4 gallon by successively pouring some of the water in a jug into another jug.
Answer:
-1/20
Step-by-step explanation:
Answer:
a) r(q) = 1000(q +1/q)
b) r'(q) = 1000(1 -1/q^2)
c) r'(10) = 990
Step-by-step explanation:
a) Revenue is the product of quantity and price:
r(q) = q·p(q) = q(1000(1 +1/q^2))
r(q) = 1000(q + 1/q)
__
b) The derivative is ...
r'(q) = 1000(1 -1/q^2)
__
c) The derivative evaluated for q=10 is ...
r'(10) = 1000(1 -1/10^2) = 1000(0.99)
r'(10) = 990
