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
8.52624 is not the same as 5.85, 63.4 , and 27.5.
Hope this Helps!!
Answer:
C
Step-by-step explanation:
That means that for x=3 the y has a value of 1.
Answer: Choice D
(x - 8) and (x - 3)
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Explanation:
The term "root" is the same as "zeros of a function".
If 3 is a root, then x = 3 leads to x-3 = 0 after subtracting 3 from both sides.
If 8 is a root, then x = 8 leads to x-8 = 0 for similar reasoning
Use of the zero product property allows us to combine those two rules into the following
(x-3)(x-8) = 0
This shows that the two factors are (x-8) and (x-3)
The order of the factors doesn't matter because we can multiply two numbers in any order.
