Answer:
It takes 1 minute 12 seconds to fill the bucket if both taps are turned on.
Step-by-step explanation:
- One tap fills the bucket in 2 minutes, thus fills 1/2 of the bucket in one minute.
- Other tap fills the bucket in 3 minutes, thus fills 1/3 of the bucket in one minute.
- Both together fill 1/2+1/3=5/6 of the bucket in one minute.
- If they can fill 5/6 of the bucket in 1 minute, they fill 1/6 of the bucket in 1/5 minute.
- They can fill the bucket (6/6) in 1+1/5 minute
- This is 1 minute 12 seconds
Answer:
Current price index number = 455
Step-by-step explanation:
Given:
Current cost of gasoline = $2.58 per gallon
1975 price of gasoline = 56.7 Cents = 56.7 / 100 = $0.567 per gallon
Find:
Current price index number = ?
Computation:
Current price index number = (Current cost / Reference cost) 100
Current price index number = ($2.58 / $0.567)100
Current price index number = (4.55)100
Current price index number = 455
Answer:
1. $686.94
2. $735.03
3. $10707.55
4. $17631.94
5. $19635.72
Step-by-step explanation:
1st Question:
The interest rate is 7% for each year. This means that each year the person has to pay 7% more than the previous amount. So we need to multiply the initial amount by (0.07+1=1.07) in order to get the interest for the first year. if we want to find the second year's interests then we will have to multiply 2 (1.07)'s and so on.
in this case our function is: 600*(1.07)^t=P(t)
when t=2 P(2)=600*(1.07)^2=$686.94
2nd Question:
Function: 600*(1.07)^t=P(t)
when t=3 P(3)=600*(1.07)^3=$735.03
3rd Question:
initial value=$8500
1+0.08=1.08
Function: 8500*(1.08)^t=P(t)
t=3
P(3)=8500*(1.08)^3=$10707.55
4th Question:
initial value=$12000
1+1.08=1.08
t=5
Function: P(t)=12000*(1.08)^t
P(5)=12000*(1.08)^5=$17631.94
5th Question:
Function: 14000*(1.07)^t=P(t)
P(5)=14000*(1.07)^5
P(5)=$19635.72
Answer:
20 cups are in 5 quarts
Step-by-step explanation:
Answer:
Karen
Step-by-step explanation:
Karen because it took bob and extra minute to walk the last mile.