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3 years ago

What is the equation of the line that passes through the point 7,-3 and has a slope of -5

Mathematics

2 answers:

ziro4ka [17]3 years ago

6 0

Answer:

Y=-5x+32

Step-by-step explanation:

So you would plug in (7,-3) into y=mx+b. Solve the problem and you get -3=-35+b. So b would equal 32 because -35+32 is -3

Oksana_A [137]3 years ago

4 0

So i’m not sure about this but you would do the y=mx+b form and then since slope = m it would be y=-5x+b and then you would plug 7 and -3 for y and x and then you would get 7=-5-3=b and then solve for b

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4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take

Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

$A(t)=P(1+r)^t$

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:

$33800=4400(1+.075)^t$ and

$33800=4400(1.075)^t$

Begin by dividing both sides by 4400 to get

$7.681818182=1.075^t$

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

$ln(7.6181818182=ln(1.075)^t$

The power rule of natural logs says we can move that exponent down in front, giving us:

$ln(7.681818182)=t*ln(1.075)$

Divide both sides by ln(1.075) to get

$\frac{ln(7.61818182)}{ln(1.075)} =t$

Do this division on your calculator to get

t = 28.2 years

6 0

3 years ago

Read 2 more answers

Pls helppppp last questionnnnn

zzz [600]

Answer:

G. $\frac{3.2}{2} = \frac{a}{8}$

Step-by-step explanation:

Given that figure I and figure II are similar, it follows that the ratio of their corresponding side lengths are equal and the same.

Thus:

$\frac{3.2}{2} = \frac{a}{8} = \frac{8}{5} = \frac{6.4}{b}$

Therefore, the proportion that must be true is:

✔️ $\frac{3.2}{2} = \frac{a}{8}$

3 0

3 years ago

Find the product.<br> 2y2(3x+52)

Inga [223]

Answer:

this might be it : 12xy+228y

Step-by-step explanation:

you multiply 2 by 3 and get 6 and then multiply by 2 again and add they y

and then multiply 52 by 2 and gte 104 and them multiply by 2 and get 228 and add they y

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3 years ago

How am I supposed to integrate this?

svlad2 [7]

$6x^2-4x+1=6\left(x-\dfrac13\right)^2+\dfrac13\ge0$

which means the parabola lies above the x-axis over its entire domain. This means the area is given by

$\displaystyle\int_{-1}^2(6x^2-4x+1)\,\mathrm dx=2x^3-x^2+x\bigg|_{x=-1}^{x=2}=10-(-5)=15$

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3 years ago

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kifflom [539]

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2 years ago