Find values of a and b that make the following equality into identity:

Mathematics

1 answer:

joja [24]3 years ago

6 0

Answer:

a = -2/5 and b = 2/5.

Step-by-step explanation:

Multiply each term by (x + 3)(x - 2) :

2 ≡ a(x - 2) + b(x + 3)

Let x = 2:

2 ≡ 0 + 2b + 3b

b = 2/5.

Let x = -3:

2 ≡ a(-3-2) + 0

a = -2/5

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Vitek1552 [10]

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$k$ is the number of deposits per year

We know for our problem that $P=420$ and $t=15$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%: $r= \frac{10}{100} =0.1$ . Since Ruben makes the deposits every 6 months, $k=2$ . The interest is compounded semiannually, so 2 times per year; therefore, $k=2$ .
Lets replace the values in our formula:

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We can conclude that the correct answer is <span>$29,299.53</span>

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