Answer:
The rate of return is 14%
Step-by-step explanation:
The rate of return can be determined by,
RR =
x 100%
where:
RR is the rate of return
is the final amount = $690 - $6 = $684
is the initial amount = $15 x 40 = $ 600
So that,
RR =
x 100%
= 0.14 x 100%
= 14%
Therefore, the rate of return is 14%.
Answer:
50% profit
Step-by-step explanation:
Cost price = £ 5000
Selling price = £ 7500
Profit = Selling price - cost price
= 7500 - 5000
= £ 2500
Profit percentage = 
= 50 %
Answer:
350 girls
Step-by-step explanation:
So,
The secret to solving problems with ratios is to find the value of one unit.
5:7 = 12 units total
To find one unit, divide the total number of students by the total number of units.
600/12 = a
Simplify
50/1 = a
50 = a
The value of each unit is 50.
Now, multiply the units by the numbers in the ratio.
50(5) = b
250 = boys
50(7) = x
350 = x
There are 350 girls.
By pulling out the common factors for each pair of terms, we can rewrite the original polynomial like this:
3x(2x + 1) + 10(2x + 1)
These two terms now have a common factor of (2x + 1). Seems like we should be able to do something with that information, don't you think? In fact, we can pull out this common factor and rewrite the polynomial again:
Answer:
a) 
b) 
Step-by-step explanation:
Use logarithm properties:

Then
a) 
b) 