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Elenna [48]
3 years ago
5

What is the slope of the line that runs through the two points?(8, 10) (-7, 14)

Mathematics
1 answer:
Allisa [31]3 years ago
7 0

Answer:

-4/15

Step-by-step explanation:

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Pls help me! I’ll help u if u do!!
d1i1m1o1n [39]

Answer:

a) $160

b) $116.50

Step-by-step explanation:

a) Let the original price of the yellow bicycle be $x.

Since both has the same original price,

original price of yellow bicycle= 100% x

original price of green bicycle= 100% x

Discounted price of yellow bicycle

= (100% -25%) x

= 75% x

Discounted price of green bicycle

= (100% -30%) x

= 70% x

Difference in cost

= 75%x -70%x

= 5% x -----(1)

From 2nd paragraph:

Discounted price of yellow bicycle

= Kyreen's money +3.50

Discounted price of green bicycle

= Kyreen's money -4.50

Difference in cost

= (Kyreen's money +3.50) -(Kyreen's money -4.50)

= Kyreen's money +3.50 -Kyreen's money +4.50

= 3.50 +4.50

= 8.00 -----(2)

Equating (1) and (2) together:

5% x= 8.00

\frac{5}{100} x = 8

x = 8 \div  \frac{5}{100}

x = 8 \times  \frac{100}{5}

x= 8 ×20

x= 160

Thus, the original price of the yellow bicycle is $160.

_______

b) Amount Kyreen has at first

= discounted price of yellow bicycle -$3.50

= 75%($160) -$3.50

= $120 -$3.50

= $116.50

5 0
2 years ago
Let L be the line with parametric equations x=2+t, y=1-t, z=1+3t.Let v=(1,2,0).Find vectors w1 and w2 such that v= w1 + w2, and
charle [14.2K]

Answer:

w1 = (-1/11, 1/11, -3/11)

w2 = (12/11, 21/11, 3/11)

Step-by-step explanation:

Direction ratio of w1 = Direction ratio of L (because parallel) = K+(1, -1, 3)

Let <a,b,c> be direction ratio of w2.

Then, <a,b,c>. <1,-1,3> = 0

a-b+3c = 0

v = w1 + w2

(1, 2, 0) = k(1, -1, 3) + (a, b, c)

a + k = 1

b - K = 2

c - 3k = 0

Solving 4 equations, a = 12/11, b= 21/11, c = 3/11, k=-1/11

So, w1 = -1/11(1, -1 ,3) = (-1/11, 1/11, -3/11)

w2 = (12/11, 21/11, 3/11)

6 0
3 years ago
Given cos x = 0.5162, find the degree measure of x. Round your answer to the nearest tenth.
Rom4ik [11]
Take the inverse cosine of 0.5162
x=59 degree
7 0
3 years ago
Dave has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money w
ioda

Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

Step-by-step explanation:

The given is,

                 Investment = $ 8000

               No. of years = 15 years

             Interest rate, i = 3.1 %

                 ( compounded monthly )  

Step:1

          For for calculating future value with compound interest monthly,

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

         Where,

                     A = Future amount

                     P = Initial investment

                     r = Rate of interest

                    n = Number of compounding in a year

                     t = Time period

Step:2

           From given values,

                           P = $8000

                            r =  3.1%

                            t = 15 years

                            n = 12 ( for monthly)

           Equation (1) becomes,

                          A = 8000( 1+\frac{0.031}{12} )^{(12)(15)}

                              = 8000 (1+0.002583)^{180}

                              = 8000(1.002583)^{180}

                              = 8000(1.591059)

                              =12728.48

                           A = $ 12728.48

Result:

           Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

                             

       

8 0
4 years ago
5(2x - 8) - 15 = 5<br><br> Show/Write the steps you would use to solve the equation.
natulia [17]

Answer:

x=6

Step-by-step explanation:

Solve for x:

5 (2 x - 8) - 15 = 5

5 (2 x - 8) = 10 x - 40:

10 x - 40 - 15 = 5

Grouping like terms, 10 x - 40 - 15 = 10 x + (-40 - 15):

10 x + (-40 - 15) = 5

-40 - 15 = -55:

10 x + -55 = 5

Add 55 to both sides:

10 x + (55 - 55) = 55 + 5

55 - 55 = 0:

10 x = 5 + 55

5 + 55 = 60:

10 x = 60

Divide both sides of 10 x = 60 by 10:

(10 x)/10 = 60/10

10/10 = 1:

x = 60/10

The gcd of 60 and 10 is 10, so 60/10 = (10×6)/(10×1) = 10/10×6 = 6:

Answer: |

| x = 6

3 0
3 years ago
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