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Nataliya [291]
4 years ago
10

A line has slope 2/3 and y–intercept −2. Which answer is the equation of the line?

Mathematics
2 answers:
Effectus [21]4 years ago
6 0
Well assuming in choice D that "23x" is meant to be (2/3)x then D would be the correct answer.
ludmilkaskok [199]4 years ago
3 0

Answer:

d if we change it.

Step-by-step explanation:

the equation of a line is y=mx+b where m is the slope and b is the y-intercept.

So, if we want to find the equation of a line that has slope 2/3 and y-intercept in -2, we can replace the values in the equation. In this case we have that m = 2/3 and b = -2. Then,

y = mx+b

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

y = (2/3)x-2.

None of the options are correct, but if we change in the option d the 23 to 2/3 the option d would be the correct one.

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In how many years will $ 21,136.18 amount to $ 75,514.55 at 27.54 % per annum when compounded quarterly?
qaws [65]

The number of years is 4.781 in which $21,136.18 amount to $75,514.55 at 27.54% per annum when compounded quarterly and this can be determined by using the formula of the compound interest.

Given :

  • Principal amount = $21136.18
  • Final amount = $75514.55
  • Interest rate per annum = 27.54%
  • Compounded quaterly.

The formula of the compound interest is given by:

\rm A= P(1+\dfrac{r}{n})^{nt}\\

where A is the final amount, P is the principal amount, r is the interest rate, t is the time in years, and 'n' is a number of times interest applied.

Now, substitute the values of known terms in the above formula.

\rm 75514.55= 21136.18(1+\dfrac{0.2754}{4})^{4\times t}\\

3.5727=(1.06885)^{4t}

Now, take the log on both sides.

\rm log(3.5727)=(4t)log(1.006885)

19.1237 = 4t

t = 4.781 years

Therefore, the correct option is B).

For more information, refer to the link given below:

brainly.com/question/14295570

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