How long must $542 be invested at a rate of 7 percent to earn a 303.52 interest
Answer:
x = X + 33 (I am guessing "x" and "X" are not the same. "x" is a variable and "X" is a constant.)
Step-by-step explanation:
31 - X + (2x+1) = x - 1
or, 2x+1 = x - 1 - 31 + X
or, 2x - x = -1 -31 + X -1
or, x = -2 -31 + X
or, x = X - 33
Answer:
1/625
Step-by-step explanation:
Exponent Rule:
Exponent Rule:
5⁻⁸ · 5⁴ = -8 + 4 = -4
5⁻⁴
1/5⁴
1/625
The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.
<h3>What is a
population model?</h3>
A population model can be represented by the equation:
Where μy is the population mean, β₀ is the y intercept and β₁ is the slope of the line
The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.
Find out more on population parameters at: brainly.com/question/2292917
This exponential growth/decay (in this case decay because r<1) of the form:
f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.
Since the population decreases by 4.5% each year the common ratio is:
r=(100-4.5)/100=0.955 so we can say
P(t)=8500(0.955^t)
....
7000=8500(0.955^t)
14/17=(955/1000)^t taking the natural log of both sides
ln(14/17)=t ln(955/1000)
t=ln(14/17)/ln(955/1000)
t≈4.22 years (to nearest hundredth of a year)
Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.