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brilliants [131]
3 years ago
12

How to find the rate in exponential growth formula A=P(1-r)^t

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
8 0
R = rate
A = P(1-r)^t
A^t = P(1-r)
A^t/P = 1-r
(A^t/P)-1 = -r
r = -((A^t/P)-1)
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Answer:

X=2.6

Step-by-step explanation:

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Solve the system of equations -x+ 2y = –11 and 5x – 8y = 39 by<br> combining the equations.
Alchen [17]

Answer:

x=-5, y=-8. (-5, -8).

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-x+2y=-11

5x-8y=39

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-5x+10y=-55

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3 0
2 years ago
A study on how circus ticket pricing influences ticket sales shows that there is an average increase of 4 people for every $3 de
____ [38]
Let the price of a ticket be originally T dollars, and the number of clients be N.

let the price decrease by x  3-dollars.

"there is an average increase of 4 people for every $3 decrease on the price of the ticket."

means:

if the price is decreased by 1-3$:
 then N become N+4, and T becomes T-3    


if the price is decreased by 2-3$:
 then N become N+4+4=N+2*4, and T becomes T-3-3=T-2*3    

 So if the price is decrease by x-3 dollars:

N  becomes N+4x, and T becomes T-3x


"A circus owner sells an average of 340 tickets when the price of a ticket is $75."

In this case N=340, and T=75$

If the owner does not change the price ticket, x=0, the revenue is 340*75,

If the owner decreases the price of the tickets by x-3$, then the revenue will be 
(N+4x)(T-3x)=(340+4x)(75-3x) dollars,

If R is the function of the revenue depending on x, then 

R(x)=(340+4x)(75-3x) dollars

 
Answer: R(x)=(340+4x)(75-3x) dollars

8 0
3 years ago
Eighteen boys joined a group of p students in the auditorium. If the ratio of boys to girls was then 5:4 write and algebraic exp
ycow [4]

Answer:  The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Number of boys added: 18 </em>
  • <em>Ratio of boys to girls: 5:4 </em>

So, the total number of boys is:

x + 18  

Number of girls = y

Number of boys / number of girls = 5/4

(x+18) /y = 5/4

Solving for "y"

4 (x +18) =5 y

4x +72 = 5y

(4x +72) /5 = y

The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

8 0
3 years ago
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