Factor out the GCF
12x^2(x + 1) = 0
Now you can do two parts
12x^2 = 0, x = 0
x + 1 = 0, x = -1
Solution: x = 0, x = -1
The rate at 14% and 5% are $12, 883 and $2191 respectively.
<h3>How to determine the rate</h3>
Given that;
Invested amount = $ 15, 074 at 14% and 5%
Let rate at 14% = x
rate at 5% = y
We have rate at 9% exceeds that of 5% by $1694. 07
Hence,
0. 14x = 0. 05y + $1694. 07 ⇒ equation 1
x + y = $15, 074 ⇒ equation 2
Make 'x' the subject
x = 
Substitute in equation 2
Expand the expression
Collect like terms
Make 'y' the subject
y = 
y = 
Substitute the value in equation 2
x + y = $15, 074
x = $15, 074 - y
x = 
x = $12, 883
Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.
Learn more about simultaneous equations here:
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according to me it's both a and b cause the product is not changing even after we are changing the order of the numbers
There are two extra credit questions on the Biology test, and 27 questions overall [including the afore-mentioned two]. If Jo answers all questions [including the extra credits] correctly, and each is worth the same amount, what score does she earn?
Answer: 108%
27 − 2 = 25. 100 / 25 = 4. So, each question is worth 4%. 2 x 4% = 8% That’s how much the extra credit is worth. 100% (main test) + 8% (extra credit) = 108% (best score possible).
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