Answer:
x=28
Step-by-step explanation:
We can use similar triangles and proportions to solve this problem. Put the side of the small triangle over the same side of the larger triangle.
x 42
---------- = ----------
x+10 42+15
Simplify
x 42
---------- = ----------
x+10 57
Using cross products
57x = 42 (x+10)
Distribute
57x = 42x+420
Subtract 42x from each side
57x-42x = 42x-42x +420
15x = 420
Divide each side by 15
15x/15 = 420/15
x=28
Answer:
The first equation must be multiplied by 18 and second equation must be multiplied by 8
Step-by-step explanation:
The present value of the investment is $6000.
According to the statement
Principal amount = $500
and Return amount = 10.5%
Time period = 20 years.
Now we find the present value of money then
By the formula
PV = P[1-(1+r)^n]/r
PV = 500[1-(1+0.10)^20]/0.10
PV = 6000
So, The present value of the investment is $6000.
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Answer:
C) f(x) increases by 900%
Step-by-step explanation:
The rate of change is
f(4) - f(3)
---------------
4-3
f(4) = 9*4 = 36
f(3) = 9*3 = 27
36 -27
---------------
4-3
9
-----
1
The rate of change is 9
To change to a percent, multiply by 100%
9*100% = 900%
