Answer:
15/31
Step-by-step explanation:
substitute -9 were there's x in the function
f(-9)=2(-9)+3/4(-9)+5
=-18+3/-36+5
=-15/-31
the negatives cancel giving you
15/31
Answer: y = 5x + 13
<u>Step-by-step explanation:</u>
Parallel means it has the same slope.
Given line y = 5x + 5 --> the slope is 5, so parallel slope is 5
Use the Point-Slope formula: y - y₁ = m(x - x₁) such that
y + 2 = 5(x + 3) <em>input m and (x₁, y₁) into the Point-Slope formula</em>
y + 2 = 5x + 15 <em>distributed</em>
y = 5x + 13 <em>subtracted 2 from both sides</em>
This is the future value quadrupled in t years at an annual interest rate of 6.5% compounded daily. We need to find t.
1*(1+0.065/365)^(365t)t=4
take log on both sides,
365t(log(1+0.065/365)=log(4)
=>
365t=log(4)/log(1+0.065/365)
t=(log(4)/log(1+0.065/365))/365
=(1.38629/.000178066)/365
=21.33 years
Check with the rule of 69, applicable to continuous compounding (an approximation to current problem) to double money, it take 69/interest rate in % years.
=69/6.5
=10.62 years
To double twice (quadruple), it takes twice 10.62
=21.24 years, not that far from 21.33 that we got earlier.
Answer:
Option A - The number of visitors is multiplied by (1+r) each year
Step-by-step explanation:
Given : The number of visitors to an art museum increases each year. The function 
represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.
To find : Select the correct statement?
Solution :
We have given an exponential function,
The function represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.
As In year 0,
The initial visitors is 
In year 1,
In year 2,
So, According to this the number of visors is multiplied by (1+r) each year.
Therefore, Option A is correct.
