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asambeis [7]
3 years ago
7

Suppose f'(7)=9 and g(7)= 5. Find h'(7) where h(x) = 3f(x) + 2g(x) + 7 h'(7)=???

Mathematics
1 answer:
Ratling [72]3 years ago
6 0

Answer:

The value of h'(7) = 44 .

Step-by-step explanation:

Given:

f'(7)=9 and g(7)= 5

We have to find : h'(7)

Also,

⇔ h(x) = 3f(x) + 2g(x) + 7   ...equation (i)

Plugging the value of 'x' = 7 in equation (i) the equation can be re-framed as:

⇔ h(7) = 3f(7) + 2g(7) + 7

⇔ h(7) = 3f(7) + 2g(7) + 7

Now plugging the value of f'=(7)=9 and g(7)=5 in the above equation:

⇔ h(7) = 3(9) + 2(5) + 7

⇔ h(7)=27+10+7

⇔ h(7)=44

So the value of h=(7) = 44 .

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2 years ago
Suppose you invested $10,000 part at 6% annual interest and the rest at 9% annual interest. If you received $684 in interest aft
victus00 [196]
Assuming simple interest (i.e. no compounding within first year), then
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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
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= 900-684 : 684-600
=216 : 84
= 18 : 7
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