The equation of the linear regression line represents the relationship between the number of candles sold for charity, x, and the amount earned for charity, y.
ŷ = 10x +41
How much money can the charity expect to earn if 47 candles sold?

511

Step-by-step explanation:

The equation of the linear regression line represents the relationship between

From the above question, let's represent:

Number of candles sold for charity = x

The amount earned for charity = y .

Our equation is given as:

ŷ = 10x +41

Hence, x = 47

y = 10 × 47 + 41

y = 470 + 41

y = 511

The amount of money the charity should expect is 511

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: