An amount of $38,000 is borrowed for 10 years at 7.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Use the calculator provided and round your answer to the nearest dollar.

Answer:

(a) All three languages  - 9

(b) Indonesian only  - 10

(c) none of the languages - 12

(d) At least one language  - 168

(e) Either one or two of the three languages - 159​

Step-by-step explanation:

The question require the knowledge of Set theory and its Formulas.

Total pupils = 180

French (Let F) = 110  

German (Let G) = 88

Indonesian (Let I) =  65

French and German (F intersection G) =  40

German and Indonesian (G intersection I) =  38

French and Indonesian (F intersection I)  = 26

German only  = 19

(a) All three languages

We are given only German speaking people are 19

Only German = n(G) - n( F intersection G) - n(G intersection I) + n(F intersection G intersection I)

 19 = 88 - 40-38 + n(G intersection I) + n(F intersection G intersection I)

n(G intersection I) + n(F intersection G intersection I) = 9

n(G intersection I) + n(F intersection G intersection I) represents the number of pupils speaking who study all the three languages.

(b)Indonesian only

   n( I) - n(G intersection I) + n(F intersection I) + n(G intersection I) + n(F intersection G intersection I)

65 - 38 - 26 + 9 = 10

So 10 pupils speak Indonesian only

(c)none of the languages

It will be equal to Total - pupils speaking any of the three languages

Any of the three languages = (F union G union I)

  = n(F) +n(G) + n(I) -n(F intersection G) - n(G intersection I) -n(F intersection I)

    +  n(F intersection G intersection I)

n(G intersection I)

  = 110 + 88 + 65 -40 -38-26 + 9

  = 263 - 95

   = 168

So 168 pupils speak any of the three languages

None speakers = 180 - 168 = 12 pupils

So 12 pupils do not speak any of the three languages.

(d)at least one language

At least one language has the meaning that the person can either speak one two or all three languages, so it will be same as we proceeded above

Any of the three languages = (F union G union I)

  = n(F) +n(G) + n(I) -n(F intersection G) - n(G intersection I) -n(F intersection I)

    +  n(F intersection G intersection I)

n(G intersection I)

  = 110 + 88 + 65 -40 -38-26 + 9

  = 263 - 95

   = 168

(e) either one or two of the three languages​

Pupils can speak one or two language but not all the three so will subtract all the three language speaker from the total.

  Total speaker = 168

 All three languages speaker  = 9

 Either one or two of the three languages​ speaker = 168 - 9 = 159

Answer:

23 , 22 , 18 . i'm sorry if wrong

Answer:

i believe its  C

Step-by-step explanation:

Answer:

y = -3x + 6

Step-by-step explanation:

1. the equation has a slope of -3 => y = -3x + b (b is the number we'll find now)

2. From the point (4,-6) => x = 4, y = -6

=> -6 = (-3)(4) +b

=> b = 6

Answer:

Step-by-step explanation:

Add v and 48°v

49v−46°

Answer:

(1,5)

Step-by-step explanation:

Plug in 3 and 12 (x as 3) (y as 12)

12≥5(3)-2

12≥15-2

12≥13 which is false (Remember ≥ means greater than or equal to but 13 is greater than 12 so that is not true)

Plug in 1 and 5 (x as 1) (y as 5)

5≥5(1)-2

5≥5-2

5≥3 which is true

Answer: (1,5)

Hope this helps

Answer:

Idkkkkkkkkkkkkkkkkkkkkk

Answer:

5a+y+10 is your answer

Step-by-step explanation:

Answer:

the values of the population and sample proportions is 0.64 and 0.6 respectively

Step-by-step explanation:

The computation of the values of the sample proportions and the population is shown below:

Given that

Let us assume the population be P

N= 1000

X = subjects possess specific characteristic = 640

So,

P  = X ÷ N

= 640 ÷ 1000

= 0.64

And, the sample proportion is  

n = 40

x = subjects possess specific characteristic = 24

p =X ÷ N

= 24 ÷ 40

= 0.6

hence, the values of the population and sample proportions is 0.64 and 0.6 respectively

Answer:

complementary angle, vertical angle, and supplementary angle

Step-by-step explanation:

not for sure tho

A because 25 percent of tje

Step-by-step explanation:

your welcome

Answer:

She can make 6 bracelets using 12 orange beads and 13 blue beads.

Answer:

210 cm^2

Step-by-step explanation:

Area1:

6*3 = 18 cm^2

Area2:

6*7 = 42 cm^2

Area3:

6*5 = 30 cm^2

Area4:

6*11 = 66 cm^2

Area5 (*2):

(11+7)*3*1/2

18*3*1/2

54*1/2

27 cm^2 (*2) = 54 cm^2

54 + 66 + 30 + 42 + 18 = 210 cm^2

Answer:

Calculator Use

Find a percentage or work out the percentage given numbers and percent values. Use percent formulas to figure out percentages and unknowns in equations. Add or subtract a percentage from a number or solve the equations.

How to Calculate Percentages

There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:

Find P percent of X

Find what percent of X is Y

Find X if P percent of it is Y

Read on to learn more about how to figure percentages.

1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y

Example: What is 10% of 150?

Convert the problem to an equation using the percentage formula: P% * X = Y

P is 10%, X is 150, so the equation is 10% * 150 = Y

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10

Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y

Do the math: 0.10 * 150 = 15

Y = 15

So 10% of 150 is 15

Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%

Example: What percent of 60 is 12?

Convert the problem to an equation using the percentage formula: Y/X = P%

X is 60, Y is 12, so the equation is 12/60 = P%

Do the math: 12/60 = 0.20

Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.

Converting 0.20 to a percent: 0.20 * 100 = 20%

So 20% of 60 is 12.

Double check your answer with the original question: What percent of 60 is 12? 12/60 = 0.20, and multiplying by 100 to get percentage, 0.20 * 100 = 20%

3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Example: 25 is 20% of what number?

Convert the problem to an equation using the percentage formula: Y/P% = X

Y is 25, P% is 20, so the equation is 25/20% = X

Convert the percentage to a decimal by dividing by 100.

Converting 20% to a decimal: 20/100 = 0.20

Substitute 0.20 for 20% in the equation: 25/0.20 = X

Do the math: 25/0.20 = X

X = 125

So 25 is 20% of 125

Double check your answer with the original question: 25 is 20% of what number? 25/0.20 = 125

Remember: How to convert a percentage to a decimal

Remove the percentage sign and divide by 100

15.6% = 15.6/100 = 0.156

Remember: How to convert a decimal to a percentage

Multiply by 100 and add a percentage sign

0.876 = 0.876 * 100 = 87.6%

Step-by-step explanation:

9514 1404 393

Answer:

  N = 5; only one rate is possible

Step-by-step explanation:

The values of the sets of chips are ...

  12 +9N +8N^2 +4N^3

and

  2 +N +N^3 +N^4

We want to find N such that the difference in value is zero:

  N^4 -3N^3 -8N^2 -8N -10 = 0

A graphing calculator can show us the roots. There is only one positive real root to this equation: N = 5.

The exchange rate N is 5. Only one rate is possible.

Answer:

29.1666667% Increase

Step-by-step explanation:

First, you subtract the orginal number from the new number. Which means, 15.5 - 12, which is equal to 3.5. Then you take 3.5 and then divide it by 12. Then, multipe it by 100.

The circle has a center at

✔ (0, 0)

.

If c + di is a point on the circle, then

|c + di |=

3✔

.

Answer:

42 = x

Step-by-step explanation:

4 = x - 38                    4 = x - 38

+38  +38         or         38 + 4 = 42

42 = x                       plug in 42 into the equation to make it true

                                   4 = 42 - 38

Answer:

x=42

Step-by-step explanation:

38+4=42 which means 42-38=4

Answer:

3

4

5

9

2

Step-by-step explanation:

-r - 33

I did on paper

Answer:

Im gayyyyyyyyy

Step-by-step explanation:

Answer:

This equation is true because it is only one group of 10 that is being represented.

Step-by-step explanation: 1 x 10= 10

2 x 10= 20

3 x 10= 30

any number time ten you just have to do the number times 1  and then add a 0

Answer:

Lets call it X

Now x = 4+6 = 10

Answer:

11

Step-by-step explanation:

Constant of proportionality, k, is the ratio of the quantity of variable y to the quantity of variable x.

Using a point on the line, (4, 44),

Constant of proportionality, k = [tex] \frac{y}{x} = \frac{44}{4} = 11 [/tex].

Constant of proportionality of the graph is 11.

Answer:

its 40

Step-by-step explanation:

Answer:

5/11

Step-by-step explanation:

-3/11 + 8/11= 5/11

Answer:

If Connor makes x dollars in sales, he will make 0.05x + 300 that week.

He makes $408.75 in a week if he makes $2175 in sales.

Step-by-step explanation:

y = 0.05x + 300

y = 0.05(2175) + 300

y = 408.75

Answer:

93.5

Step-by-step explanation:

55          multiply

1.7

385  ≥  add 385 and 550

550

935    and get 935

Hope this helped you!! i tried to label it the best i could.

Answer:

Hi there! The answer is 93.5

Step-by-step explanation:

55          multiply

1.7

385  ≥  add 385 and 550

550

935    and get 935

add decimal point 93.5

Hope this helps!! Have a nice day! :D

Answer:

Step-by-step explanation:

7. y=0.25x

8. No, the graph is a positive slope. Saying y=-x implies that there is a negative slope when it is not the case.

9a. y=12x

9b. The equation or graph is proportional relationship if there isn't a change in the graph or equation at all, and it roots back to a consistent ratio. for this one it's 1:12

5,5        1,5

        4,0cqscsqcewc

Answer:

Step-by-step explanation:

sin C-sin D=2cos ((C+D)/2)sin ((C-D)/2)

[tex]sin ~6x-sin ~2x=2cos ~\frac{6x+2x}{2} sin ~\frac{6x-2x}{2} \\=2 ~cos~4x~sin~2x[/tex]