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anyanavicka [17]
2 years ago
12

Which is more​ economical: purchasing the economy size of a detergent at 7 kilograms for ​$7.15 or purchasing the regular size a

t 920 grams for 60cents​?
Select the correct choice below and fill in the answer box to complete your choice.
​(Round to four decimal places as​ needed.)
A.
Purchasing the economy size is more economical because the economy size costs ​$
____ less per gram.
B.
Purchasing the regular size is more economical because the regular size costs ​$
_____ less per gram.

Mathematics
1 answer:
Kruka [31]2 years ago
8 0
Regular size saves $0.0003 per gram I think
someone pls fact check me
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an employer will do a 50% match on your investment to a 401k retirement plan. If you decide to contribute a monthly amount of $2
faltersainse [42]

Answer:

The amount that should be in the account after 15 years is $95,321.85

Step-by-step explanation:

According to the given data, we have the following:

monthly amount of $220=R

interest rate is fixed at 2.05%. We require the monthly ineterest rate, hence monthly interest rate= 2.05%/12=0.1708%=0.0017

t=15years×12=180 months

In order to calculate how much should be in the account after 15 years, we would have to use the following formula:

Ap=<u>R(1-(1+i)∧-t)</u>

             i

Ap=<u>220(1-(1+0.0017)∧-180)</u>

                       0.0017

Ap=<u>162,04</u>

      0.0017

Ap=$95,321.85

The amount that should be in the account after 15 years is $95,321.85

<u />

6 0
2 years ago
Which pair represents the same complex number?
lorasvet [3.4K]
For this case we have the following complex number:
 1 + i
 Its equivalent pair is given by:
 root (2) * (cos (pi / 4) + i * sin (pi / 4))
 Rewriting we have:
 root (2) * (root (2) / 2 + i * (root (2) / 2))
 (2/2 + i * (2/2))
 (1 + i)
 Answer:
 
option A represents a pair with the same complex number
4 0
2 years ago
Read 2 more answers
Which function has the domain x&gt;or= -11
iogann1982 [59]
I'm assuming this is multiple choice and you forgot to post the answers. I'll take a guess and say it probably looks something like this:
y = \sqrt{x + 11}
Because you can't take the square root of a negative number without getting an imaginary result, resulting in the function having a closed domain limit.
6 0
2 years ago
Which quadratic equation is equivalent to (x – 4)2 – (x – 4) – 6 = 0?
Viktor [21]

I hope choices must be given in the problem.

I am showing the method to find the equivalent equation of the above equation. You can match with your given choices.

First step is to expand the first term. So,

(x-4)² = (x - 4)(x - 4) Since a²= a*a

= x² - 4x - 4x + 4 * 4 By multiplying.

= x² -8x + 16 Combine the like terms.

So, (x - 4)² - (x -4) - 6

= x² - 8x + 16 - x + 4 - 6

= x² - 9x + 14 Combine the like terms.

So, equivalent equation of the above equation is x² - 9x + 14 = 0.

5 0
2 years ago
Read 2 more answers
the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati
luda_lava [24]

Answer:

The standard deviation of the data set is \sigma = 12.7906.

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}

we use the following formula

                                             \sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }

Step 1: Find the mean \left( \overline{X} \right).

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

                                     Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}

Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

\sum{\left(x_i - \overline{X}\right)^2} = 1472.4

Step 4: Calculate σ using the above formula.

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906

3 0
2 years ago
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