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postnew [5]
3 years ago
13

You work for a robotics company that is making a new line of hamburger-making robots to be sold to fast-food chains. This is a b

ig-ticket item, so sales will be slow at first, but should pick up over time. Your marketing department estimates that the sales growth rate will increase linearly by 2 robots per month per month. In the first month (t 0), for which you have already booked sales for 10 units, the growth rate is expected to be 5 robots per month. How many total robots do you expect to sell by the end of the tenth month (t = 9)?
Mathematics
1 answer:
loris [4]3 years ago
6 0

Answer:

565 robots

Step-by-step explanation:

We can do this numerically, month by month:

At t = 0, sale is 10 units. Growth rate is 5 robots per month.

At t = 1, sale is 15 units. Growth rate is 7 robots per month.

At t = 2, sale is 22 units. Growth rate is 9 robots per month.

At t = 3, sale is 31 units. Growth rate is 11 robots per month.

At t = 4, sale is 42 units. Growth rate is 13 robots per month.

At t = 5, sale is 55 units. Growth rate is 15 robots per month.

At t = 6, sale is 70 units. Growth rate is 17 robots per month.

At t = 7, sale is 87 units. Growth rate is 19 robots per month.

At t = 8, sale is 106 units. Growth rate is 21 robots per month.

At t = 9, sale is 127 units. Growth rate is 23 robots per month.

So the total robots we can expect to sell by the end of tenth month is

565 robots.

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The bakery used 12 cups of sugar in their large batch of cupcakes. How many quarts of sugar is this?
trapecia [35]

Answer:

3

Step-by-step explanation:

There are 4 cups in 1 quart, so 12/4 is just 3

- yw :)

6 0
3 years ago
Read 2 more answers
The table below shows the temperature in degrees for eight consecutive days as well as the respective number of ice cream cones
cricket20 [7]

Answer:

We have to find the equation of least squares regression line in order to find the number of ice cream cones that the shopkeeper to sell if the temperature is 106 degrees. We can use excel regression data analysis tool to find the equation of the regression line. The excel output is attached here.

The equation of the least squares regression line is:

\hat{y}=46.587+5.080x

Now, if the temperature is 106 degrees, then the number of cones expected to be sold is given below:

\hat{y}=46.587+5.080 \times 106

         =585.1 \approx 585

Therefore, the number of ice cream cones that the shopkeeper would expect to sell if the temperature is 106 degrees is 585.



6 0
3 years ago
Which of the following correctly describes the domain of the function shown
labwork [276]

Option D:

\{x: x \neq 1\} is the domain of the function.

Solution:

Given function is

$r(x)=\frac{2 x}{x-1}

<u>To find the domain of the function:</u>

Option A: \{x: x \neq 0\}

Substitute x = 0 in r(x).

$r(0)=\frac{2 \times 0}{0-1}=0

If x = 0, then r(0) = 0

So that x ≠ 0 is false.

So, \{x: x \neq 0\} is not the domain of the function.

Option B: \{x: x \neq \pm 1\}

Substitute x = –1 in r(x).

$r(-1)=\frac{2 \times (-1)}{-1-1}=1

If x = –1, then r(–1) = 1

So that x = ± 1 is false.

So, \{x: x \neq \pm 1\} is not the domain of the function.

Option C: $\{x: \text { all real numbers }\}$

Substitute x = 1 in r(x).

$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}

It is indeterminate.

So, all real numbers are not the domain of the function.

Option D: \{x: x \neq 1\}

Substitute x = 1 in r(x).

$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}

It is indeterminate.

So, \{x: x \neq 1\} is the domain of the function.

4 0
3 years ago
Ha: μ ≠ 30 we know that the sample standard deviation is 10 and the sample size is 70. for what sample mean would the p-value be
Andrew [12]

From the given problem the same size is n = 70. Df = n – 1 = 70 – 1 = 69.

The population mean is u = 30, sample standard deviation is s = 10 and the sample size is n = 70. Then,

t = x – u / s sqrt of n

1.995 = x – 30 / (10 sqrt of 70)

1.995 = x – 30 / 1.1952

X – 30 = 1.995 (1.1952)

X – 30 = 2.3844

X = 30 + 2.3844

X = 32.3844

 

The sample mean is 32.3844

<span> </span>

3 0
3 years ago
2+3**1342=? Someone please trust trade me
svp [43]

Answer:

Step-by-step explanation:

5 0
3 years ago
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