-3x + 4y = -15 and 4x - y = -19

The amount of the account which is also the principal is = $3,188

The formula for calculating the simple interest (I) of an account is = P × T × R / 100

Making P the subject of formula, P = 100 × I / T×R

Where,

T = 2 years

R = 12%

I = $765. 13

[tex]p = \frac{100 \times 765.13}{2 \times 12} [/tex]

[tex]p = \frac{76513}{24} [/tex]

p = $3,188

Therefore, the amount of the account which is also the principal is = $3,188

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Answer: what number line

Step-by-step explanation:

Answer:

Supplementary angle = 42⁰

Step-by-step explanation:

We know that

Sum of two supplementary angle = 180

Let,

Supplementary angle = x

=> 138 + x = 180

=> x = 180 - 138

=> x = 42⁰

If the measure of an angle is 138°, the measure of its supplementary angle is 42°

Supplementary angles are two angles that sum to 180 degrees. The sum of supplementary angles is equals to 180 degrees.

Therefore, if the angles are x and y , For them to be supplementary,

x + y = 180°

If the measure is 138 degrees, the measure of its supplementary angle can be calculated as follows:

let

its supplementary angle = x

138 + x = 180

x = 180 - 138

x = 42°

learn more on supplementary angles: https://brainly.com/question/25818150?referrer=searchResults

Answer:

Answer is below and I solved them.

Step-by-step explanation:

Absences from school:

8*3*3*3*3 = 648

Day 4 = 648

8*3*3*3*3*3 = 1,944

Day 5 = 1,944

Absences from Band:

8*3*3+28+28 = 128

Day 4 = 128

8*3*3+28+28+28 = 156

Day 5 = 156

Hope that helps.

Please tell me.

Step-by-step explanation:

you didn't post the questions yk?!

Answer:

They measure the area, volume, length, and width, in construction

10 - 15 = -5

Step-by-step explanation:

HOPE THIS HELPED

Answer:

So there is an answer button, and there is a + sign. Once you click on it, you will be able to answer questions.

Step-by-step explanation:

1. Ask a teacher if you don't know answer to a certain subject you are studing

2.  Practice makes perfect

3 . Discuss and work with partner

Answer:

Step-by-step explanation:

You have to draw sets:

[tex]y<\dfrac{1}{2}x-1\qquad(1)\\\\y\leq-3x+2\qquad(2)[/tex]

in the coordinates system.

[tex]y=\dfrac{1}{2}x-1\\\\x=0\to y=\dfrac{1}{2}\cdot0-1=-1\to(0,\ -1)\\\\x=2\to y=\dfrac{1}{2}\cdot2-1=1-1=0\to(2,\ 0)[/tex]

dashed line

mark the region below the line

[tex]y=-3x+2\\\\x=0\to y=-3\cdot0+2=2\to(0,\ 2)\\\\x=1\to y=-3\cdot1+2=-3+2=-1\to(1,\ -1)[/tex]

solid line

mark the region below the line

Read points on the common region (look at the picture).

Answer:

A. Slope is -12 feet per second

B. Yes, it is constant.

Skills needed: Linear Equations, Substitution and Division

Step-by-step explanation:

1) Solving Part A (we need to find the slope):

2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:

- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ==> [tex]\frac{1090-1150}{10-5}[/tex] ==> [tex]1090-1150=-60, 10-5=5[/tex] ==> [tex]\frac{-60}{5}[/tex]

[tex]\frac{-60}{5} =-12[/tex], so the slope is -12.

==================================================================

1) Part B (analysis)

We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12

Answer:

-1/14or-0.07

Step-by-step explanation:

3/7-1/2=(2x3)/(2x7)-(7x1)/(7x2)=6/14-7/14=(6-7)/14=-1/14or0.07

It is false both nations will benefit if the terms of trade are  1 peanut = 3 corn.

The comparative advantage refers to the ability of one company or nation to produce something at a lower cost. In this case, the U.S. can produce peanuts at a lower cost than Canada.

No, due to their differences in the amounts of units produced and their comparative advantage both nations will not benefit from this trade.

Learn more about comparative advantage in: https://brainly.com/question/4461081

Answer:

7

Step-by-step explanation:

First, we have to find 1/3 of 27, which is the aunt's age.

27/3 is 9.

Now, since Georgia is 2 years younger, we have to subtract 2 from 9.

9-2=7

-hope it helps

Answer:

54 cm

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

Answer:

a) 1 04.

b) 160 * 0.94.

Step-by-step explanation:

b) We multiply by 1 - 0.06 = 0.94.

Answer:

12x² + 15x

Step-by-step explanation:

(3x × 4x) + ( 3x × 15)

Answer:

(3x) (X 4+5)

3x×(x×4+5)

3x×(4x+5)

12x^2+15x answer

Answer:

Well, we need to know how many apples Joe was robbed of before we can finish the problem.

Answer:

Figure a) 2

Figure B) 4

Figure c) 5

Step-by-step explanation:

Answer: A: has 1 line B has 2 and 3 has 5

Step-by-step explanation:

Step-by-step explanation:

Start by multiplying both sides by cosα:

1 + sinα + (cos²α)/(1+sinα) = 2

sinα + (cos²α)/(1+sinα) = 1

Now multiply both sides by 1+sinα:

sinα + sin²α + cos²α = 1 + sinα

sin²α + cos²α = 1 Q.E.D.

Thats the answer and method i used

= [180 - (100 + 40)]° = 40°

Answers:

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

63

Step-by-step explanation:

The least common multiple of 7 and 9 is 63

1. The percentage of people surveyed in East Harlem is 58.5%

2. The percentage of people surveyed in Upper East Side is 41.5%

From the question given above, the following data were obtained:

1. Determination of the percentage of people surveyed in East Harlem.

Percentage of East Harlem = (people surveyed in East Harlem / Total) × 100

Percentage of East Harlem = (183/313) × 100

Percentage of East Harlem = 58.5%

2. Determination of the percentage of people surveyed in Upper East Side.

Percentage of Upper East Side = (Total percentage) – (Percentage of East Harlem)

Percentage of Upper East Side = 100 – 58.5

Percentage of Upper East Side = 41.5%

Learn more about percentage:

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Answer:

second pack

Step-by-step explanation:

1.25÷4= 0.31 so for the first pack 1 pencil cost $0.31

2.50×20%= 0.5 so its ¢50 off. 2.50-0.50= 2. 2÷8= 0.25. so for the second pack 1 pencil costs $0.25 which is lower than the 1st pack.

I hope it wasn't too confusing

Answer: Beau and Kai are the similar triangles. If you add 55 and 61 degrees you come up to 116. Since their are 180 degrees in a triangle, you know that the other angle needs to be 64 degrees. On Kai's the 55 and 64 degrees come up to 119 degrees leaving 61 degrees for the unknown angle. Each has an angle with 55 degrees, 64 degrees, and 61 degrees

Step-by-step explanation:

Answer:

4.8 inches a minute is probably the answer

Answer:

4.8 inches a minute

Step-by-step explanation:

Answer:

72/4=18 with remainder of 3 peices given to her mom

Step-by-step explanation:

Answer:

i think probably x = 1 or 5

Step-by-step explanation:

x²-6x+5 =0

so (x-1)(x-5) = 0

so x = 1 or 5