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creativ13 [48]
3 years ago
5

Heather wants to increase the time she jogs each week by 6 minutes. she is already able to jog for 10 minutes. the time heather

jogs each week is given by the linear function f(x) = 6x + 4. which explicit rule is equivalent to this linear function?
Mathematics
1 answer:
Kitty [74]3 years ago
7 0
The explicit rule would be 

a_n=10+6(n-1).

This equation is in slope-intercept form, f(x)=mx+b.  This means the slope, m, is 6.  This tells us the rate of change of the line.  This corresponds to the common difference, d, of the sequence.

An explicit rule for this sequence is of the form

a_n=a_1+d(n-1),

where a₁ is the first term and d is the common difference.  We know that d = 6:
a_n=a_1+6(n-1)

From the problem, we are told that she is starting out running for 10 minutes.  This is a₁:

a_n=10+6(n-1)
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An associate professor of physics gets a $200 a month raise. She figures that with her new monthly salary she can buy more goods
tresset_1 [31]

<u> Her real salary has fallen and her nominal </u><u>salary </u><u>has risen. option</u><u> (d)</u><u> is correct .</u>

What is called wage?

  • A wage is money that is paid by an employer to an employee in exchange for work.
  • The amount may be fixed for each task completed (this is called piece rate); or it may be based on time or other measurable quantity of work done.
  • Work for wages is the most common form of work.

Her real salary has fallen and her nominal salary has risen.

<u>Reason -</u> She can generate lesser goods so her real wage decreases and $200 leads to increase in nominal salary .

So,  option (d) is correct .

Learn more about wage

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<u>The complete question is -</u>

An associate professor of physics gets a $200 a month raise. With her new monthly salary she can buy more goods and services than she could buy last year. a. Her real and nominal salary have risen. b. Her real and nominal salary have fallen. c. Her real salary has risen and her nominal salary has fallen. d. Her real salary has fallen and her nominal salary has risen.

5 0
1 year ago
car purchased for 18,500 after each year the resale value decreases by 30%. what will the resale value be after 4 years
vesna_86 [32]
Equation is 18500x.70 to the power of x

5 0
3 years ago
If the principal is $4,500 and the rate of interest is 8%, what is the amount of interest after one year? Formula is I =PRT
emmasim [6.3K]

Step-by-step explanation:

I=?

P= $4500

R=8%=0.08

T=1 year

8%*0.01= 0.08

I=(4500)(0.08)(1)

(4500)(0.08)=360

360*1=360

The interest after one year is $360

7 0
3 years ago
HELP!
kondor19780726 [428]
144/200=0.72 or 72%

225/100=2.25 or 225%

42/50=0.84 or 84%

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6 0
3 years ago
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I need help please can someone help me find each area thank you
nikitadnepr [17]

Answer:

it is easy use the formula of triangle which is 1/2(base × height) and base is the side where the height touches and height means the perpendicular line.

And in some cases there may be the use of pythagoras theorem

8 0
3 years ago
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