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strojnjashka [21]
3 years ago
8

What is an equation for the line that passes through the coordinates (2,7) and (0,1)

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0
It gives you the y-intercept in the question: (0,1)
Use (y2-y1)/(x2-x1) to find the slope:

= (1-7) / (0-2)
= -6 / -2
= 3

Your answer is y=3x+1
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How much must be deposited today into the following account in order to have $35,000 in 7 years for a down payment on a​ house?
Rom4ik [11]

Answer:

The amount that must be deposited is $ 19973.87.

Step-by-step explanation:

We have a relation between future value present value as:

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

F=future value

P=present value

r=rate (as a decimal)

n=number of compounding periods per year

t=number of years

Now,

               assume rate as 8%

                                       35000= P (1+\frac{0.08}{12} )^{12*7}

                                or,   35000= P × 1.0067^{84}

                                      or, P = \frac{35000}{1.7522}

                                     or, P = $ 19973.87

So you must deposit $ 19973.87 today.

7 0
3 years ago
johns dinner costs $52.30. Sales tax is 6.5% and he wants to leave a 20% tip for the waitress. what is the total cost for johns
Tasya [4]

Answer:

The total cost for john's meal would be $66.84

Step-by-step explanation:

6.5% of 52.30 = 3.3995

52.30 plus 3.3995 = 55.6995

20% of 55.6995 = 11.14$

55.6995 + 11.14 = $66.84

3 0
2 years ago
O
jekas [21]

Answer:

b= -8

Step-by-step explanation:

we have: 3y +12 = 6x <=> y + 4 = 2x <=> y= 2x - 4

=> 2y=4x + b

<=> 2(2x-4) = 4x +b

<=> 4x - 8= 4x +b

<=> b = -8

6 0
3 years ago
Read 2 more answers
In a study published on January 31, 2011 in The Proceedings of the National Academy of Sciences, researchers randomly assigned 1
Kaylis [27]

Answer:

d.

Step-by-step explanation:

Hello!

The objective of this test is to know if aerobic exercise modifies hippocampus activity. A random sample of 120 elderly men and women was taken and divided into two groups.

Group 1: Walked around a track three times a week.

Group 2: Did a variety of less aerobic exercises, including yoga and resistance training with bands.

After a year their brains were scanned showing that group 1 had an increase of 2% in their hippocampus and group 2 showed a decrease of 1.4%

a. True, this type of observational study can be the prelude to a more formal statistical study.

b. True, the explanatory variable is "type of exercise", it's the variable that the investigator suspects influence the hippocampus volume.

c. True, the objective of this experiment is to test if there is any modification on hippocampus volume, that's why the volume of the hippocampus was measured, before and after a year of exercise.

d. False, this is an observational study, you cannot establish a causal relationship between the two variables. Just inform you that there seems to be an association. To be able to generalize the results to all elderly population you need a more formal statistical experiment to support your conclusions.

I hope it helps!

5 0
3 years ago
What is 34 &amp; 3/4 inches divided by 2 equal
Sever21 [200]

Answer:

17 and 3/8 inches

Step-by-step explanation:

..............................

(34+3/8)/2=17+3/16

plz....

mark it as a brilliant answer

7 0
3 years ago
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