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Sloan [31]
2 years ago
9

9x-3>5x+17 How would i solve this step by step

Mathematics
1 answer:
Zielflug [23.3K]2 years ago
8 0

Answer:

x > 5

Step-by-step explanation:

add 3 to both sides

9x-3>5x+17

+3      +3

9x>5x+17+3

Simplify

9x > 5x + 20

Subtract 5x from both sides

9x > 5x + 20

-5x      -5x

= x = 5

Hope This Helped

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Please help this for my pre calculus finals
dsp73

Answer:

a) It will take 17.71 years

b) It will take 17.58 years

c) I will earn $6.60 more in compound continuously

Step-by-step explanation:

a) Lets talk about the compound interest

- The formula for compound interest is A = P (1 + r/n)^(nt)

, Where:

- A = the future value of the investment, including interest

- P = the principal investment amount (the initial deposit)

- r = the annual interest rate (decimal)

- n = the number of times that interest is compounded per unit t

- t = the time the money is invested

* Lets solve the problem

∵ The money deposit is $2000

∵ The rate is 6.25%

∵ The interest is compound quarterly

∵ The future value is $6000

∴ P = 2000

∴ A = 6000

∴ r = 6.25/100 = 0.0625

∴ n = 4

∴ t = ?

∵ A = P (1 + r/n)^(nt)

∴ 6000 = 2000 (1 + 0.0625/4)^4t ⇒ divide both sides by 2000

∴ 3 = (1.015625)^4t ⇒ insert ㏑ for both sides

∴ ㏑(3) = ㏑(1.015625)^4t

∵ ㏑(a)^b = b ㏑(a)

∴ ㏑(3) = 4t ㏑(1.015625) ⇒ divide both sides by ㏑(1.015625)

∴ 4t = ㏑(3)/㏑(1.015625) ⇒ divide both sides by 4

∴ t = [㏑(3)/㏑(1.015625)] ÷ 4 = 17.71

* It will take 17.71 years

b) Lets talk about the compound continuous interest  

- Compound continuous interest can be calculated using the formula:

  A = P e^rt  

- A = the future value of the investment, including interest

- P = the principal investment amount (the initial amount)

- r = the interest rate  

- t = the time the money is invested

* Lets solve the problem

∵ The money deposit is $2000

∵ The rate is 6.25%

∵ The interest is compound continuously

∵ The future value is $6000

∴ P = 2000

∴ A = 6000

∴ r = 6.25/100 = 0.0625

∴ t = ?

∵ A = P e^rt  

∴ 6000 = 2000 e^(0.0625 t) ⇒ divide both sides by 2000

∴ 3 = e^(0.0625 t) ⇒ insert ㏑ to both sides

∴ ㏑(3) = ㏑[e^0.0625 t]

∵ ㏑(e^a) = a ㏑(e) ⇒ ㏑(e) = 1 , then ㏑(e^a) = a

∴ ㏑(3) = 0.0625 t ⇒ divide both sides by 0.0625

∴ t = ㏑(3)/0.0625 = 17.5778

* It will take 17.58 years

c) If t = 5 years

# The compound quarterly:

∵ A = P (1 + r/n)^(nt)

∴ A = 2000 (1 + 0.0625/4)^(4×5)

∴ A = 2000 (1.015625)^20 = $2727.08

# Compound continuously

∵ A = P e^(rt)

∴ A = 2000 e^(0.0625×5) = $2733.68

∴ I will earn = 2733.68 - 2727.08 = $6.60

* I will earn $6.60 more in compound continuously

5 0
3 years ago
Please help with number 8
Oxana [17]

Answer:

64

Step-by-step explanation:

*the sum of a triangle in degrees is 180*

44-72= 116

180-116= 64

4 0
3 years ago
Put the following equation of a line into slope-intercept form, simplifying all
Rudik [331]

Answer:

y=-3x-3

Step-by-step explanation:

9x+3y=-9

This is currently in standard form, or ax+by=c.

To get it to slope-intercept form, (y=mx+b) first subtract 9x to both sides.

3y=-9x-9

Divide both sides by 3.

y=-3x-3

5 0
2 years ago
Read 2 more answers
Is x greater than, less than or equal to 35°?
zaharov [31]

Answer:

x<350

Step-by-step explanation:

Just look at it the area with the x is much smaller

7 0
2 years ago
Read 2 more answers
In their first 5 games last year, the Dallas Cowboys scored 35, 31, 31, 10, and 24 points. How many points did the Cowboys avera
Anna71 [15]

Answer:

26.2 points

Step-by-step explanation:

To find the average, find their total number of points and divide by the number of games

total points/number of games

To find their total points, add all their points together

35+31+31+10+24=131

Then, divide by the number of games (5)

131/5=26.2

So, they scored an average of 26.2 points

Hope this helps! :)

5 0
3 years ago
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