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3 years ago

Solve for y answer 3x+2y=-4

Mathematics

2 answers:

mel-nik [20]3 years ago

6 0

3x +2y = 4
-3x -3x
-------------------
2y = 4 - 3x
--- --------
2 2
------------------
y = (4-3x)/2

mario62 [17]3 years ago

5 0

Y= -4-3x/2

hope it helps

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Scorpion4ik [409]

To solve this we are going to use the compounded interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where
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$r$ is the rate in decimal form
$n$ is the number of times the rate is compounded per year
$t$ is the time in years

Part 1. Notice that since the car is losing 4.5% of its value semiannually, it is losing 9% annually; also the rate is going to be negative, so $r= \frac{-9}{100} =-0.09$ . Since the car its value semiannually, $n=2$ . Also, to find $t$ , we are going to subtract 2005 from 2017: $t=2017-2005=12$ . Finally, we know for our problem that $P=45000$ . Now that we have all the vales we need, lest replace them in our formula:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=45000(1+ \frac{-0.09}{2} )^{(2)(12)$
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We can conclude that at the end of 2017 the char will be worth $14,903.68

Part 2. Since we want to know the year in which the price of the car will be zero, $A=0$ . From our previous calculations we know that $P=45000$ , $r=-0.045$ ,and $n=2$ . Lets replace those values in our formula one more time:
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$0=45000(1+ \frac{-0.045}{2} )^{2t}$
Since $t$ is the exponent, we are going to use logarithms to bring it down:
$\frac{45000}{0} =(1+ \frac{-0.045}{2} )^{2t}$
$(1+ \frac{-0.045}{2} )^{2t}=0$
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Since $ln(0)$ cannot be evaluated (you can't divide by zero in mathematics), we can conclude that the value of the car will never be zero.

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