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Effectus [21]
3 years ago
10

If 2= (1+ r)^7 solve the equation for r?​

Mathematics
1 answer:
solong [7]3 years ago
8 0

7 = r^1/2 is the same as saying 7 = square root of r. So, to get rid of the square root sign on the r, you need to square it, and when you do something to one side of the equation, you have to do the same to the other side. So after squaring both sides, you get 49 = r.

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What are the variables in each graph
Svet_ta [14]

9514 1404 393

Answer:

  1. time, volume
  2. depth, temperature
  3. time, plant height

Step-by-step explanation:

The axis labels answer this question. The horizontal axis is the independent variable; the vertical axis is the dependent variable.

1. Variables are time and volume.

2. Variables are depth and temperature.

3. Variables are time and plant height.

6 0
2 years ago
Rylee earns $5,4000 in her first year of teaching and earns a 3% increase in each successive year. Write a geometric series form
Stella [2.4K]

Answer: $1387800

Step-by-step explanation:

This is an sum of Arithmetic Progression with the formula

Sum of nth term

Sn = n/2( a + l ) --------------- 1

where l = a + ( n - 1 )d -------2

Now put (2) in 1

Sn = n/2{( a + a + (n - 1)d}

= n/2{( 2a + ( n -1 )d}

From the question

a = $5,4000 ( firs term )

d = 3% of $5,4000 ( common difference ), n = 20 years. Solution to question one therefore is.

First find 3% of $54000 = $1620, so the geometric series is

Sn = n/2{(2a + ( n - 1 )d

Second solution is substitution,

Sn. = 20/2 {(2 x 54000 + (20 -1)1620)}

= 10{ 108000 + 19 x 1620}

= 10{ 108000 + 30780 }

= 10{ 138780 }

= 1387800

Therefore, the total emoluments of Rylee for the past 20 years

= $1387800

8 0
3 years ago
Need help with 2 and 4 ASAP <br> Inverses...
Drupady [299]

2.

h(x) = 1/(x - 1)

<em><u>Replace h(x) with y.</u></em>

y = 1/(x - 1)

<u><em>Swap x and y.</em></u>

x = 1/(y - 1)

<em><u>Solve for y.</u></em>

<em><u>Multiply both sides by (y - 1)</u></em>

x(y - 1) = 1

<em><u>Distributive property.</u></em>

xy - x = 1

<em><u>Add x to both sides.</u></em>

xy = 1 + x

<em><u>Divide both sides by x.</u></em>

y = 1/x + 1

<em><u>Replace y with h^-1(x)</u></em>

H^-1(x) = 1/x + 1 is the inverse function for question 2.


4.

h(x) = 4/(x + 2)

<em><u>Replace h(x) with y.</u></em>

y = 4/(x + 2)

<em><u>Swap y and x.</u></em>

x = 4/(y + 2)

<em><u>Solve for y.</u></em>

<em><u>Multiply both sides by y + 2.</u></em>

x(y + 2) = 4

<em><u>Distributive property.</u></em>

xy + 2x = 4

<em><u>Subtract both sides by 2x.</u></em>

xy = 4 - 2x

<em><u>Divide both sides by x.</u></em>

y = 4/x - 2

<em><u>Replace y with h^-1(x)</u></em>

H^-1(x) = 4/x - 2 is the inverse function for question 4.

4 0
3 years ago
-7x-5x+8=-16 what is the answer to this
serg [7]

Answer:

x = 2

Step-by-step explanation:

-7x - 5x + 8 = -16

(-7x -5x) = -16 -8

-12x = -24

x = -24/12

x = 2

if (-) is divided (-) then the result is (+)

hope helping you ^^

8 0
3 years ago
Read 2 more answers
Please help ill mark you brainliest!​
Galina-37 [17]
Answer:1/27

Explanation:
7 0
3 years ago
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