Answer with Step-by-step explanation:
a.
Taking both sides log
Using identity:
Using identity:
b.
We know that
Using identity
c.
Substitute the values then we get
By using
Hence,
Answer:
It takes 30 minutes
Step By Step:
The rate of Glenn in finishing a job would be equivalent to:
Rate (G) = 1
job / 20 minutes
While the rate of Veronika is:
Rate (V) = 1
job / x---> x is the unknown
Where 1 job for Glenn means completely cleaning his room while 1 job for Veronika means pulling out everything. Therefore the equation to use would be:
1 / 20 – 1 /
x = 1 / 60
The rate of
Veronika is subtracted from the rate of Glenn since Veronika is slowing Glenn
down. Solving for x:
Multiply both
sides by 60 x
(1 / 20 – 1 /
x = 1 / 60) * 60 x
3 x – 60 = x
2 x = 60
x = 30
Therefore it
takes 30 minutes for Veronika to pull everything out.
Given:
savings 12% of her salary.
savings $4,200
This year's salary: x + 3,000
Last year's salary: x
4,200 represents 12% of her salary.
4,200 / 12% = 35,000 is her salary this year.
x + 3,000 = 35,000
x = 35,000 - 3,000
x = 32,000 her salary last year.
Answer:
Area =
Step-by-step explanation:
Area of Triangle =
Where Base = 6 , Height = 6
Area =
Area = 3 * 6
<u><em>Area = 18 units^2</em></u>