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2 years ago

A line that contains the point (-8,-1) and is perpendicular to -15x +3y = 9

1 answer:

7 0

Put the other line in point slope form...(solve for y :D )

3y=15x+9

y=5x+3, so this line has a slope of 5

For a line to be perpendicular to another the slopes have to be negative reciprocals of each other...mathematically...

s1*s2=-1

So for the other line to be perpendicular to the first:

5m=-1, m=-1/5, thus our other line (so far) is:

y=b-x/5, now we can use the point (-8,-1) to solve for the y-intercept, "b":

-1=b-(-8)/5

-1=b+8/5

-1=b+1.6

b=-2.6

So the perpendicular line that contains the point (-8,-1) is:

y=-0.2x-2.6

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drek231 [11]

Answer:

79,514

Step-by-step explanation:

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3 years ago

Hi boys can u pls help!!!!! Or girls it doesn't even matter at this point.

lutik1710 [3]

See explanations on compound interest formula.

Step-by-step explanation:

Given that the formula which models the situation is;

$P(1+\frac{r}{n} )^{nt}$

This can be written as the compound interest formula where;

$A=P(1+\frac{r}{n} )^{nt}$ where

A=amount after the time period

P=starting amount=$300

r=interest rate=15%=0.15

n=number of compounding per year

t=time period

P=$300, r=0.15, n=12

P(1+r/n)^nt

300(1+0.15/12)^12t

300(1.0125)^12t

A=300(1.0125)^12t

Introducing logs both sides

$A=300(1.0125)^{12t}$

$\frac{A}{300} =(1.0125)^{12t} \\\\\\log(\frac{A}{300} )=12tlog(1.0125)\\\\\\log(\frac{A}{300} )/12log1.0125=t$

Applying the compound interest formula where P=$300, t=4, n=4 and r=0.15

$A=P(1+\frac{r}{n} )^{nt} \\\\\\A=300(1+0.15/12)^{4*12} \\\\\\A=300(1.0125)^{48} \\\\\\A=544.61$

Interest= 544.61-300 =$244.61

Finding the numeric expression to evaluate a yearly compounding interest rate you use n=1

$A=P(1+\frac{r}{n})^{nt} \\ \\\\A=P(1+r/1)^{1*t} \\\\A=P(1+r)^{t}\\\\\\\\Interest=A-300\\\\Interest=P(1+r)^{t} -300$

Given that P=$300, r=0.15, n=1,t=4 then, finding the amount and the interest will be;

$A=P(1+\frac{r}{n} )^{nt} \\\\\\A=300(1+\frac{0.15}{1} )^{1*4} \\\\\\A=300(1.15)^{4} \\\\A=300*1.7490=524.70\\$

interest to pay = 524.70-300=$224.70

Learn More

Compound Interest :brainly.com/question/7014337

Keywords: exponential expression,interest rate, credit card, compounded monthly, yearly,minimum payments

#LearnwithBrainly

8 0

3 years ago

Tia cut 4-meters 8-centimeters wire into 10m equal pieces. Marta cut a 540-centimeters wire into 9 equal pieces.how much longer

gavmur [86]

Answer:

Step-by-step explanation:

Tia

4 meters 8 centimeters=408 centimeters

408/10=40.8 centimeters

Marta

540/9=60 centimeters

60-40.8=21.2 centimeters longer

6 0

3 years ago

In exponential growth and decay problems, what is the independent variable? The independent variable is almost always:

d1i1m1o1n [39]

The independent variable i<span>n exponential growth and decay problems is the time because the value of the given population will depend on the how much time have elapsed from the star of the decay or growth. in the usual form of a growth function is A(t) = Ao(e)^(kt)</span>

8 0

3 years ago

Read 2 more answers

The measure of an angle is seventeen times the measure of its supplementary angle. What is the measure of each angle?

Reika [66]

Answer:

supplementary angles are two angles that when add equal 180 degrees.

The supplement of an angle is 180 - n.

Step-by-step explanation:

n = 17(180 - n)

n = 3060 - 17n

n + 17n = 3060

18n = 3060

n = 3060/18

n = 170

so the unknown angle (n) = 170 degrees and its supplement = (180 - 170 = 10)......= 10 degrees.

4 0

2 years ago