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Reptile [31]
3 years ago
11

Which is the best first step when solving the following system of equations? 5 c + 4 d = 10. 3 c + 2 d = 16. Multiply the first

equation by Negative 2. Solve for d in the second equation. Solve for c in the first equation. Multiply the second equation by Negative 2.
Mathematics
1 answer:
Virty [35]3 years ago
8 0

Answer:

5c+4d=10

3c+2d=16

8c+6c=26

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Answer:

Initial principal -$300,000

Investment amount after yr 3-$390,000

Final investment amount, after 6 yrs-$519,090

Step-by-step explanation:

Let X be the amount initially invested.

#The amount after 3 yrs of simple interest is calculated as:

I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X

#The amount after 5 yrs is calculated by compounding the amount after 3 yrs for 2 yrs at 10%:

A=P(1+i)^2\\\\471900=1.3X(1.1)^2\\\\471900=1.573X\\\\X=300000

Hence, the amount initially invested as $300,000

#Amount of invested after 6 yrs is therefore:

A=P(1+i)^n\\\\=471900\times1.1\\\\=519090

Hence, the total amount of the investment after 6 yrs is $519,090

#Substitute X in simple interest equation to find amount after 3 yrs of simple interest:

I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X\\\\=1.3\times 300000\\\\=390000

Hence, the total amount of the investment after first 3 yrs is $390,000

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4 years ago
There are 12 inches in 1 foot. And there are 3 feet in 1 yard. How many inches are there in 1 yard.
juin [17]

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Step-by-step explanation: because 3 times 12 is 36

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dybincka [34]

Answer:

-1

Step-by-step explanation:

The answer is b, -1.

I do not have a step by step explanation for that.

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We can also rearrange it to look like a point-slope equation. Either way works, it's the same equation.

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This works because her heart rate is decreasing by a constant value. The initial heart rate is like the y-intercept, while the amount that it decreases by is the slope.

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I plugged in the calculator for you:)
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