Because, well, without them how are you able to add and subtract fractions :D
It is according to the laws of mathematics that you cannot add or subtract fractions that have different denominators to each other. So you need to make your fractions having the same denominator so that they are able to be added or subtracted (hence the equivalent fractions - making the denominators the same are making the fractions equivalent)
Answer:
your answer for 11/4+11/2 would be 8.25
Step-by-step explanation:
Answer:
176
Step-by-step explanation:
To find a number from a known percentage and a number, divide the given number by the percent.
Where 
is the value given and 
is the percentage.
To find the x value of the max of
f(x)=ax^2+bx+c
when a is negative (if a is positive, we find the minimum)
we do
-b/2a is the x value
to find the y value, we just sub that x value back into the function
so
R(x)=-0.2x^2+60x+0
-b/2a=-60/(2*0.2)=-60/-0.4=150
x value is 150
make 150 units
sub back to find revenue
R(150)=-0.2(150)^2+60(150)
R(150)=-0.2(22500)+9000
R(150)=-4500+9000
R(150)=4500
max revenue is achieved when 150 units are produced yeilding $4500 in revenue
Assuming he had not dealt with the bank offering plan B before, he has nothing deposited two years back. Hence plan B only gives him only 0.2% annual interest for his deposit.
Plan A gives 0.25% for his deposit all the time.
So plan A is more advantageous.
For durations,
To reach $1,000,000 from $100,000, the money needs to grow 10 fold, or
(1+i)^n=10
n=log(10)/log(1+i).
So for plan A:
n=log(10)/log(1.0025)=922.18 years, while for
plan B
n=log(10)/log(1.0020)=1152.44 years.
Hope the bank(s) still exist at that time.
