Can you please help with multiplication and division equations

So for this, we will be doing a system of equations, with one equation representing the total invested and the other equation representing the total gained from the investments. But first, we have to do calculations:

firstly, to represent a percentage gain (in this case 12% gain) you are to add 0.12 (12% in decimal form) to 1 to get 1.12. Keep 1.12 in mind, as it will be used for the equations.

Next, to represent a percentage loss (in this case 11%), you are to subtract 0.11 (11% in decimal form) from 1 to get 0.89. Keep 0.89 in mind, as it will be used in the equations.

Next, we need to find the total amount of money after the investments. To do this, add 21,000 and 1,715 together to get 22,715. $22,715 is the total amount of money gained in 1 year.

Now that we have all of our information, we can form our equations as such:

Let x = $ invested into the account with 12% gain and y = $ invested into the account with 11% loss

$x+y=21000\\1.12x+0.89y=22715$

Now with these system of equations, I will be using the substitution method. So firstly, with the first equation subtract x on both sides of that equation:

$y=21000-x\\1.12x+0.89y=22715$

Now that we know that y = 21000 - x, replace y for (21000 - x) in the second equation and solve for x as such:

$1.12x+0.89(21000-x)=22715\\1.12x+18690-0.89x=22715\\0.23x+18690=22715\\0.23x=4025\\x=17500$

Now that we have the value of x, substitute it into either equation to solve for y:

$17500+y=21000\\y=3500\\\\1.12(17500)+0.89y=22715\\19600+0.89y=22715\\0.89y=3115\\y=3500$

In short, $17500 was invested into the account that gained 12% and $3500 was invested into the account that had lossed 11%.

3 0

3 years ago

Exercise 2.2 gave the following data (in increasing order) for the attribute age: 13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25

Mazyrski [523]

Answer:

Step-by-step explanation:

13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25, 30, 33, 33, 35, 35, 35, 35, 36, 40, 45, 46, 52, 70.

a) Smoothing by bin means

Each bin has depth of 3

Dividing data into bins

so, Bin 1= 13, 15, 16

Bin 2= 16, 19, 20

Bin 3= 20, 21, 22

Bin 4= 22, 25, 25

Bin 5= 25, 25, 30

Bin 6= 33, 33, 35

Bin 7 = 35, 35, 35

Bin 8= 36, 40, 45

Bin 9= 46, 52, 70

Now, smoothing data by bin mean

so, Bin 1= 13, 15, 16 = (13+15+16)/3 = 15 Bin 1 = 15,15,15

Bin 2= 16, 19, 20 = (16+19+20)/3 = 18 Bin 2 = 18,18,18

Bin 3= 20, 21, 22= (20+21+22)/3 = 21 Bin 3 = 21,21,21

Bin 4= 22, 25, 25 = (22+25+25)/3 = 24 Bin 4 = 24,24,24

Bin 5= 25, 25, 30 =(25+25+30)/3 = 27 Bin 5 = 27,27,27

Bin 6= 33, 33, 35 = (33+33+35)/3 = 34 Bin 6 = 34,34,34

Bin 7 = 35, 35, 35 = (35+35+35)/3 = 35 Bin 7 = 35,35,35

Bin 8= 36, 40, 45 = (36+40+45)/3 = 40 Bin 8 = 40,40,40

Bin 9= 46, 52, 70=(46+52+70)/3 = 56 Bin 9 = 56,56,56

This technique is used to smooth the data. Data may have noise, using binning techniques we can remove noise from the data. It helps in providing more accurate results

b) How might you determine outliers in the data?

Outliers are the data that are abnormal to other data points. Outliers can be found by Box and whisker chart (box plot). Inter Quartile range can also be used to identify outliers

c) What other methods are there for data smoothing?

Other methods of smoothing data are

a) binning by boundaries

b) Exponential smoothing

c) Random walk

7 0

3 years ago

Many experts have argued for the elimination of rote memorization as a method for learning mathematical facts such as basic oper

N76 [4]

I think they should keep it around, even if it might not be the most efficient strategy. After all, what if you need to solve a problem using multiple strategies?

5 0

3 years ago

At Shoes for last pair of shoes is $15 less but her boots can you do you purchase three pairs of shoes and two pairs of boots fo

fomenos

This question looks like it may have some typos. Maybe try reuploading it?

6 0

3 years ago

Select the correct answer! Help asap thanks

tester [92]

The area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6

<h3>Calculating area </h3>

From the question, we are to determine the area of the shaded region

The area of the shaded region = Area of the semicircle - Area of the triangle

First, we will determine the diameter, d, of the semicircle

d² = 3² + 4² (Pythagorean theorem)

d² = 9 + 16

d² = 25

d = √25

d = 5

∴ Diameter of the semicircle is 5

Thus,

Radius, r = 5/2 = 2.5

Now,

Area of the shaded region = 1/2(π×2.5²) - 1/2(3×4)

Area of the shaded region = 1/2(π×6.25) - 1/2(12)

Area of the shaded region = 3.125π - 6

Hence, the area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6

Learn more on Calculating area here: brainly.com/question/14989383

#SPJ1

7 0

2 years ago