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inna [77]
3 years ago
12

What’s the equation for a line with a x-intercept of -5 and y-intercept of 7

Mathematics
1 answer:
laila [671]3 years ago
8 0

Answer:

y= 7/5x or f(x)= 7/5x

Step-by-step explanation:

The x intercept is -5 which as a point is (-5,0)

The y intercept is 7 which as a point is (0,7)

  1. find slope
  • m=7-0/0-(-5)

m=7/5

2. write equation

  • (The equation can be written as either y equals or the function of x equals)
  • y=7/5x
  • f(x)=7/5x
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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
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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}
25000=16000(1.0234)^{3t}

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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3 years ago
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