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nika2105 [10]
2 years ago
9

Identify an equation in point slope form for the line parallel to y=-2/3×+8 that paases through (4,-5)

Mathematics
1 answer:
allochka39001 [22]2 years ago
5 0

Answer:

y=-2/3x-7/3

Step-by-step explanation:

a parallel line has the same slope but different y intercept

so we need to solve for y=-2/3x+b

since it passes through 4,-5 we can plug it in for x and y

-5=-2/3(4)+b

-5=(-8/3)+b then add 8/3 to both sides

-5 is also -15/3

-7/3=b

so answer is y=-2/3x-7/3

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Answer:

9:17

Step-by-step explanation:

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9:17

Hope this helps!

5 0
2 years ago
What does the interest rate have to be, if a bank pays interest, compounded continuously and the amount doubles in 5 years?
allochka39001 [22]
Let the original amount be A.  Double that would be 2A.

Then, 2A = Ae^(r*5), or 2 = e^(5r).

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3 0
3 years ago
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
olga_2 [115]

Answer:

The population would be 781.

The population is growing with the rate of 12.50 persons/yr.

Step-by-step explanation:

Since, the formula for calculating the population, increasing with a rate per period,

A=P(1+r)^{n}

Where, P is the initial population,

r is the rate per period,

n is the number of period,

t is the total years,

Here, P = 500, r = 25 % = 0.25, n = 2 ( the number of '10 year period' of in 20 years is 2 )

Hence, the population in 20 years would be,

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Now, the rate of increasing per 10 year is 25 %,

⇒ The rate of increasing per year is 2.5 %,

Thus, the growing people per year = 2.5 % of 500 = 0.025 × 500 = 12.50

Hence, the population is growing at 12.50 person per year.

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3 years ago
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