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dimaraw [331]
3 years ago
6

The first two terms in a geometric series are 20, 22. To two decimal places, the sum of the first k terms of the series is 271.5

9. Find k.​
Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer:

k=9

Step-by-step explanation:

First find r=22/20=1.1

The sum of the first k terms formula is a1•(1-r^k)/(1-r)

a1=20 and the sum is 271.59

Now plug in these values in the formula and find k.

271.59=20(1-1.1^k)/(1-1.1)

When you simplify this equation, you will get k=ln(2.358)/ln(1.1)

k=9

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after the interview ,Ellen decided to hire two of the applicants and reject the others .Ellen's assistant called back the applic
Elden [556K]

Answer:

40 + 2r

Step-by-step explanation:

Well an hour has 60 minutes.

So 60 x 1/30 = 60/30 = 2 minutes for each person that didn't get into the job

60 x 1/3 = 60/3 = 20 minutes for the people that made it into the job.

20 x 2 = 40 minutes in total for the people that made it into the job.

We don't know how much people got rejected so:

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40 + 2r

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2 years ago
Graph the system of equation below on a piece of paper what is the solution y=x-1 and y=-2x+5
ANTONII [103]

We are given

First equation:

y=x-1

we can use formula

y=mx+b

slope is m=1

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Second equation:

y=-2x+5

we can use formula

y=mx+b

slope is m=-2

y-intercept is b=5

Graph:

We can see that

both curves intersect at (2,1)

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6 0
4 years ago
7. Evaluate this expression if x=-2*<br> 3x2 - 4x
natali 33 [55]

Answer: x=0 or x= -5/6

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8 0
3 years ago
What are the independent and dependent variables in the relationship? <br> 2w-5
vaieri [72.5K]

Answer:

The width is independent, w, and the length is dependent, 2w - 5. If discussing the area then the independent is w and the dependent is Area for A = (2w-5)(w).

Step-by-step explanation:

On a graph called the coordinate plane, there are two axis. The horizontal axis is the x-axis and is known as the independent variable. A great example of an independent variable is time. Time is always represented on the x-axis because time passes by. It does not depend on anything.

The other axis is the y-axis. It is the vertical axis on the graph. It is called the dependent variable because its value depends on x. For example, if you were looking at miles per hour, the number of miles would depend on how many hours you traveled. You have to know the time to find miles. This is a dependent variable.

Here w can be anything and it affects what the length 2w - 5 will be. It determines it because it is part of the expression. The independent variable is w and the dependent variable is the length 2w - 5. If discussing the area then the independent is w and the dependent is Area for A = (2w-5)(w).

5 0
3 years ago
Y = (25 - 2) (35 - 2).<br> Multiply the binomials.
Dima020 [189]

Answer:  y=759

Step-by-step explanation:

y = (25 - 2) (35 - 2)

y = (23) (33)

y = 759

5 0
3 years ago
Read 2 more answers
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