There are 5 letters in the word "prime"
Imagine we had 5 slots to fill. They are empty initially.
Slot 1 has 5 choices to pick from
Once we pick a letter, we have 4 choices left over for slot 2
Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice
We have this countdown: 5,4,3,2,1
which multiplies out to 5*4*3*2*1 = 120
There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.
Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900
Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%
method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
Amount invested at 8% = 7/(18+7)*10000=0.28*10000=2800
10*a = 10000000
a = 1000000, one million
5*10*b = 500000000
b = 10000000, ten million
About ten times.
Answer:
the answer would be three because when an exponent is on the inside of the parenthesis and one is outside too, then they are multiplied. If it wasn't, then it would be added.
Step-by-step explanation:
Answer:
Water left in tank is 
gallons.
Step-by-step explanation:
Given :
Capacity of tank = 9.5 gallons 
Water taken out of tank =
gallons
We have to find the water left in the tank.
Water left in the tank = Total capacity of tank - water taken out of tank
=
Taking LCM of (3,10)= 30
Solving further, we get,
Thus, Water left in tank is gallons..
