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aev [14]
3 years ago
5

Can someone help on thiissssds

Mathematics
2 answers:
guapka [62]3 years ago
7 0

Answer:

B

Step-by-step explanation: we can rewrite these equations first

3x + 21 = 23 + 4x

3x = 2 + 4x

x = -2

4y - 28 = 3y - 23

4y = 3y + 5

y = 5

( - 2 , 5 )

Ahat [919]3 years ago
6 0

Answer:

\huge\boxed{\sf Solution Set = \{(-2,5)\}}

Step-by-step explanation:

<u>Given equations:</u>

-4x + 3y = 23 ---------------------------(1)

x - y = -7 ---------------------------------(2)

Multiply Eq(2) by 3

3(x - y) = -7 * 3

3x - 3y = -21 ---------------------------(3)

Add Eq (1) and (3)

-4x + 3y + 3x - 3y = 23 + (-21)

Cancel out 3y

-4x + 3x = 23 - 21

- x = 2

Or

x = -2

<u>Finding y:</u>

Put x = -2 in Eq. (2)

-2 - y = -7

Add 2 to both sides

-y = -7 + 2

-y = -5

Divide both sides by -1

y = 5

So,

Solution Set = {(x,y)} = {(-2,5)}

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>

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Alex73 [517]

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4 years ago
Jimmy invest $16,000 in an account that pays 7.03% compounded quarterly. How long (in years and months) will it take for his inv
Vladimir [108]
To solve this we are going to use the compound interest formula A=P(1+ \frac{r}{n})^{nt}
where:
P is the investment
r is the interest rate in decimal form
n is the number of times the interest is compounded per year
t is the time in years
A is the amount after t years 

First, lets convert the interest rate to decimal dividing it by 100%:
r= \frac{7.03}{100} =0.0703
Next, lets find n. Since we know that the interest is compounded every 4 months (quarterly), it will be compounded \frac{12}{4} =3 times in a year, so n=4.
We also know that A=23000 and P=16000, so lets replace all the quantities into our compound interest formula:
25000=16000(1+ \frac{0.0703}{3})^{3t}
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Notice that the the number of years t is in the exponent, so we have to use logarithms to bring it down. But first lets divide both sides by 16000 to isolate the  exponential expression:
\frac{25000}{16000} =(1.0234)^{3t}
(1.0234)^{3t} = \frac{25}{16}
ln(1.0234)^{3t} =ln( \frac{25}{16} )
t= \frac{ln( \frac{25}{16}) }{3ln(1.0234)}
t=6.43

Now that we know t=6.43, the last thing to do is convert 0.43 years to months:
(0.43 years)( \frac{12months}{1year} )=5.16months

We can conclude that Jimmy's investment will take 6 years and 5 months to reach $25,000.
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Answer:

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alekssr [168]
A)
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