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Paraphin [41]
3 years ago
10

What is the solution to the system of equations?

Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0

Answer:

(2,5)

Step-by-step explanation:

First, we notice that

y = -x + 7

y = 2x + 1

Next, since both -x + 7 and 2x + 1 are equal to y, than by that logic it means

-x+7 = 2x+ 1

Add x to both sides

7 = 3x+1

Subtract 1 from both sides

6 = 3x

x = 2

Now that we solved x, let's plug x = 2 into either -x+7 or 2x + 1. Either way, both will have the same answer.

y = -x + 7

y = -(2) +7

y = 5

Therefore, the answer is

x= 2

y = 5

(2,5)

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Determine how long it will take for a principal amount of $13,000 to double its initial value when deposited into an account pay
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Compound interest can be defined as the interest <em>on a deposited amount, an investment</em> that is <em>compounded based on its principal and interest rate.</em>

It will take about 3.239 years for the principal amount of $13,000 to double its initial value.

From the above question, we can deduce that we are to find the time "t"

The formula to find the time "t" in compound interest is given as:

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  • Step 1: First, convert R as a percent to r as a decimal

r = R/100

r = 21.4/100

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  • Step 2: Solve the equation for t

t = ln(A/P) / r

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The first five terms of this series would be:

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