Answer:
g(x + 7) = 11x + 80
g(x) + g(7) = 11x + 83
Step-by-step explanation:
g(x + 7) = 11(x + 7) + 3 = 11x + 77 + 3 = 11x + 80
g(x) + g(7) = 11x + 3 + 11(7) + 3 = 11x + 3 + 77 + 3 = 11x + 83
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
<h3> - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - -
</h3>
➷ Hank charges $75 for a visit plus $45 per hour.
Therefore, for an hour, Hank would charge $120 as 75 + 45 = 120
Mr Fixit:
As it is for one hour, we look at the first function because the time is 'less than or equal to an hour'.
Mr Fixit would charge $95 for an hour.
Therefore, Hank charges $25 more than Mr Fixit.
➶Hope This Helps You!
➶Good Luck :)
➶Have A Great Day ^-^
↬ Hannah ♡
You know that two expressions are equivalent when if you substitute in your values and simply the expressions, they have the same answer.
