The director of marketing at a large company wants to determine if the amount of money spent on internet marketing is a good predictor of company profit. She fits a least-squares regression line to 20 months of data and computes the following regression line:Profit = 372.6 + 17.2(advertising dollars)

What is the value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500? Round to the nearest integer.

Answers

Answer 1
Answer: Given:
Profit = 17,500
advertising dollar = 1,020

regression line:

Profit = 372.60 + 17.2(advertising dollar)
17,500 = 372.60 + 17.2(1020)
17,500 = 372.60 + 17,544
17,500 = 17,916.60

There is a residual value of 416.60. 

17,916.60 - 17,500 = 416.60

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The function f(x) = 4(3)x represents the growth of a dragonfly population every year in a remote swamp. Erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year. Which function is correct for Erin's purpose, and what is the new growth rate?

Answers

Answer:

f(x) = 4(1.32)^x  function is correct for Erin's purpose and the new growth rate is 32%

Step-by-step explanation:

Growth rate function: a(1+r)^x--A

where r is the rate of growth

We are given that The functionf(x) = 4(3)^x represents the growth of a dragonfly population every year in a remote swamp.

Now Erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year

So, equation becomes: f(x) = 4(3^(1)/(4))^x

f(x) = 4(1.32)^x

Now on comparing with A

1.32=1+r

0.32=r

So, New growth rate = 0.32=32%

Hence f(x) = 4(1.32)^x  function is correct for Erin's purpose and the new growth rate is 32%

There are 12 months a year, and if the growth is to be calculated four times a year, the interval would be every three months.

We use the variable
z as the number of 3 months per year

So,
x = z/4

Substituting, the new growth rate would be:
f(z) = 4(3)^(z/4)

I have $5$ different mathematics textbooks and $4$ different psychology textbooks. In how many ways can I place the $9$ textbooks on a bookshelf, in a row, if there must be a psychology textbook exactly in the middle, and there must be a mathematics textbook at each end?

Answers

Answer:

What

Step-by-step explanation:

You can’t have more than 2 combinations with £9

At the beginning of the year, a sporting goods store had $250,000 worth of inventory. The store’s buyers purchased an additional $115,000 worth of inventory during the year. At year’s end, the value of the inventory was $185,000. What was the store’s cost of goods sold?

Answers

Answer:

180000

Step-by-step explanation:

tina and jim work at a different car wash. tina is paid $37 per day plus 1.50 for each car she washes. jim is paid $40.00 per day plus 1.00 for each car she washes.

write an expression that represents the amount tina is paid each day given the number of cars she washes.  I put   37+1.5c

write an expression that represents he amount jim is paid each day given the number of cars he washes.     I put 40+1.00c       Did I do this correct???



Answers

You did it correct.  Yes!

If p varies directly with q, and p = 8 when q = 2, what is the value of p when q = 7?A.p = 1

B.p = 100

C.p = 40

D.p = 28

Answers

D.p. 28 I'm guessing?
the answer to this question is p=28

Can anyone do question 25 part c? :)

Answers

\begin{cases}x^3\qquad\qquad\ \ \  when\ x\geq3\n5\qquad\qquad\quad \ when\  0\ \textless \ x\ \textless \ 3\nx^2-x+2\quad\ when\ x\leq0 \end{cases}\n\n\n (a)\n f(0)\iff x=0\implies f(x)=x^2-x+2\n\nf(0)=0^2-0+2=2\n\n(b)\n \{f(2)\iff x=2;\ \ f(1)\iff x=1\}\implies f(x)=5\n\n f(2)=5\quad\wedge\quad f(1)=5\n\n f(2)-f(1)=5-5=0

(c)\n \big\forall \limits_( n\in R)\ n^2\geq 0\ \ \Rightarrow\ \ \big\forall \limits_( n\in R)\ (-n^2)\leq 0 \ \ \Rightarrow\ \ x\leq0\ \ \Rightarrow\ \  f(x)=x^2-x+2\n\nf(-n^2)=(-n^2)^2-(-n^2)+2=n^4+n^2+2