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Komok [63]
3 years ago
7

Mike correctly found the slope and y intercept of the line passing through the points(-5,-2)and (3,14)as follows.​

Mathematics
2 answers:
galben [10]3 years ago
8 0

Answer:

y= 2x+8

Step-by-step explanation:

The standard form of an equation of line in slope-intercept form is:

y= mx+b

Where m is the slope of the line and b is the y-intercept of the line.

To obtain the equation from the given information we need to put the values of m and b into the standard form of equation.

We are given

m = 2

and

b = 8

So putting the values of m and b

y = (2)x +8

y= 2x+8 ..

sashaice [31]3 years ago
4 0

THE ANSWER IS :y=2x +8

just know its <u>right.</u>

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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
3 years ago
A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The graph shows the data collec
Alex777 [14]

The required relationship shown by the graph is the exponential relationship n =2^t . Option a is correct,

Given that,

A graph has been shown, showing the data,  what is the relationship between the number of bacteria with time is to be determined.

<h3>What is a graph?</h3>

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Since the recorded value from the graph is
At, t = 1 ; n = 2
At t = 2 ; n = 4
At t = 3 ; n = 8
At t = 4 ; n = 16
At t = 5 : n = 32
Here the above data show the exponential relation between n and t with the base value 2 i.e. n =2^t

Thus, the required relationship shown by the graph is the exponential relationship of n =2^t . Option a is correct,


Learn more about graphs here:

brainly.com/question/16608196

#SPJ1

8 0
1 year ago
Suppose y = 2x + 1 , where x and y are functions of t. (a) if dx/dt = 6, find dy/dt when x = 4. dy dt = (b) if dy/dt = 2, find d
evablogger [386]

y=2x+1\\\\\dfrac{dy}{dt}=2\dfrac{dx}{dt}

(a) For dx/dt=6, dy/dt = 2·6 = 12

(b) For dy/dt=2, 2 = 2·dx/dt ⇒ dx/dt = 1

_____

The value of x is irrelevant for this question.

=====

If your function is 2^x +1 or 2^(x +1), it needs to be written as such. The answer above applies to the function given.

7 0
3 years ago
Michelle plans on raising $80 for her softball team. To raise the money, she is selling team shirts for $10 each.
8_murik_8 [283]

Given:

Michelle plans on raising $80.

Selling price of each shirt = $10

So far she has raised $20.

To find:

The number of more shirts she needs to sell.

Solution:

Let x be the number of more shirts she needs to sell.

Selling price of one shirt = $10

Selling price of x shirt = $10x

Total raising amount = $(10x + 20)

Michelle plans on raising $80. So,

10x+20=80

Subtract both sides by 20.

10x=80-20

10x=60

Divide both sides by 10.

x=\dfrac{60}{10}

x=6

So, the required equation is 10x+20=80

Therefore, the correct option is A.

6 0
3 years ago
It takes 2.5 hours to fill the pool with 1,625 gallons or wate,
morpeh [17]

Answer:

650/per hour

Step-by-step explanation:

I got this answer by dividing 1,625 by the amount of hours it took to fill that much water, 2.5 so basically i divided 1,625/2.5 to get my answer.  

6 0
3 years ago
Read 2 more answers
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