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Law Incorporation [45]
4 years ago
14

The lines below are perpendicular. If the green line has a slope of -1/9, what is

Mathematics
1 answer:
mojhsa [17]4 years ago
6 0

Answer:

9

Step-by-step explanation:

The slopes are perpendicular lines are opposite reciprocals.

If one line has slope - 1/9, then the perpendicular  to it  has slope 9/1 or 9.

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1. Tristan Sandino is selling his motorcycle. His friend, Rudy, is offering to pay cash in the amount of $8,800. Another friend,
mina [271]
1. The amortization formula can tell you the present value if the string of payments is made at the end of the month.
  A = P(i/n)/(1 -(1 +i/n)^(-nt))
where A is the payment (200), P is the present value, n is the number of compoundings per year (12), and t is the number of years (4).
  200 = P(.034/12)/(1 -(1 +.034/12)^-48)
  200 = P*0.0223115558
  P = 200/0.0223115558 ≈ 8,963.96

This matches the selection ...
  a) $8963.96

[Please note that an actual sale would probably require the first payment be made immediately, hence the present value would actually be $8,989.36.]


2. A financial calculator (HP-12c) computes the IRR at 3.889% (per quarter). Hence the annual rate of return is about
  4*3.889% ≈ 15.55%

This matches selection ...
  a.) 15.55%
8 0
4 years ago
54 1/4% equals _____
tresset_1 [31]
The answer to the question

8 0
3 years ago
from 1970 to 1980 the consumer price index increased from 38.8 to 82.4. If a container of onion dip cost $0.48 in 1970 and the p
Vikki [24]
We need to find the percent increase from 38.8 to 82.4, so

x * 38.8 = 82.4
x = 82.4/38.8
x = 2.1237

Multiply by 100 to convert to percentage (move decimal 2 places to the right)

2.1237 = 212.37%

Now we can apply this percentage increase to the onion dip...

0.48 x 212.37% =
0.48 x 2.1237 = 1.019 
 
Round to the nearest cent $1.02 is the amount of increase.  Now add it to the original price to get today's price...

$1.02 + .48 = $1.50
 
5 0
3 years ago
Read 2 more answers
El recorrido de una etapa de una vuelta ciclística tiene una longitud de 213 kilometros y un ciclista recorre 2/3 del trayecto e
Maurinko [17]

the question in English

The route of a stage of a cycle tour is 213 km long and a cyclist covers 2/3 of the route in five hours.

a) How many kilometers are left to finish the stage?

b) If he continues with the same average speed, how much time does he have left to finish the stage?

Step 1

we know that

1) Total kilometers of a stage is 213\ km

2) The cyclist covers \frac{2}{3} of the route

so

the kilometers remaining to finish the stage is equal to

(1-\frac{2}{3})*213= \frac{1}{3}*213\\ \\=71\ km

therefore

<u>the answer   Part a) is </u>

71\ km

Step 2

<u>Find the average speed of the cyclist</u>

we know that

the speed is equal to

speed=\frac{distance}{time}

we have

time=5\ hours\\ distance=\frac{2}{3}*213=142\ km

substitute

speed=\frac{142}{5}=28.4\frac{km}{h}

Step 3

<u>Find the time remaining to finish the stage</u>

we know that

speed=\frac{distance}{time}

Solve for the time

time=\frac{distance}{speed}

we have

distance=71\ km\\ speed=28.4\frac{km}{h}

substitute

time=\frac{71}{28.4}=2.5\ hours

therefore

<u>the answer Part b) is</u>

2.5\ hours


8 0
3 years ago
What are the coordinates of the center and the
Misha Larkins [42]

Answer: The coordinate of the center is (4,-3)

radius = 8

Step-by-step explanation:

Given ;

x^{2} +y^{2}=8x-6y+39

re - arranging , we have

x^{2} +y^{2}-8x+6y-39=0

comparing with the general equation

x^{2} +y^{2}+2gx+2fy+c=0

This means that

2gx = -8x

2g=-8

g=-4

also

2fy=6y

2f=6

f=3

c=-39

The coordinate of the center is (-g,-f)

Therefore;

the coordinate of the center = (4,-3)

the formula for calculating r is given by:

r = \sqrt{g^{2}+f^{2}-c}

r = \sqrt{16+9+39}

r=\sqrt{64}

r=8

METHOD 2

x^{2} +y^{2}-8x+6y-39=0

using completing the square method , we have

x^{2} -8x+y^{2}+6y-39=0

completing the square , we have

(x-4)^{2}+(y+3)^{2} = 39 +4^{2}+3^{2}

(x-4)^{2}+(y+3)^{2}=64

comparing with the general equation

(x-a)^{2}+(y-b)^{2}=r^{2}

where a and b are the coordinate of the center , that is

the coordinate of the center is ( 4 , -3)

r^{2}=64

r=8

6 0
3 years ago
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