Answer:
2 % amount = 12000 7% amount = 1000 dollars
Step-by-step explanation:
x = 2% amount
then 13 000 - x = 7% amount
.02x + .07 (13000-x) = 310
-.05x + 910 = 310
.05x = 600
x = 600/.05 = 12000 then the 7% amount is 1000
- Hypotenuse= ML
- Perpendicular=KL=15
- Base= KM=8
By using Pythagoras theorem.
- h²=p²+b²
- ML²=15²+8²
- ML²=225+64
- ML=√289
Therefore ML= 17...
Step-by-step explanation:
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Answer:
5 hours
Step-by-step explanation:
The volume of the pool is ...
V = LWH
V = (10 ft)(8 ft)(5 ft) = 400 ft^3
At the given fill rate, the time it will take is ...
(400 ft^3)/(80 ft^3/h) = 5 h
It will take 5 hours for the pump to fill the pool.
Answer:
-0.075
Step-by-step explanation:
[Player R, Player C] cases & outcomes :-
- (Vowel, Vowel) = (0,0)
- (Consonant, Consonant) = (0,0)
- (Vowel, Consonant) = (6,-6)
- (Consonant, Vowel) = (-5,5)
- Prob (R chooses consonant) = 75% = 0.75
- Prob (R chooses vowel) = 1 - 0.75 = 0.25
- Prob (C chooses vowel) = 30% = 0.30
- Prob (C chooses consonant) = 1 - 0.30 = 0.70
Average Loss of R = Expected value of : he choses consonant & C choses vowel; he chooses vowel & C choses consonant
= (0.75)(0.30)(-5) + (0.25)(0.70)(6)
-1.125 + 1.05
= -0.075
Answer:
T = 72/4 = 18years
T = 20years (to the nearest tenth)
Step-by-step explanation:
Using the rule of 72, which is used to estimate the number of years for a given investment to double at a given interest rate.
Doubling time = 72/interest rate
T = 72/r
Rate r (in percentage) = 4%
Time T (in years)
T = 72/4 = 18years
T = 20years (to the nearest tenth)
