Daniel has 120 dollars in the bank. He is earning 3.5% compound interest each month. How much money will he have in the bank in one year?

Using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .

Linear programing problem is" a system of process of finding maximum or minimum value of any variables".

Inequalities is statement of an order relationship, "greater than or greater than or equal to, less than or less than or equal to between two numbers or algebraic expressions" .

According to the question,

Let 'x' represents the number of hours clearing tables and 'y' represents the number of hours clearing tables.

maximum of z =11x+8y

x + y ≤ 17             →     (1)

11x +8y ≥ 160      →       (2)

Using graphical method, we can solve this Linear programing problem(LPP).

In inequality(1) put x=0, we get y=17 and y=0, we get x=17 therefore in equation (1) we get (17,17) draw this point on graph.

In inequality(2) put x=0 we get y=20 and put y=0 we get x=14.54 from equation(2) we get (14.54,20) draw this point on graph.

To find maximum value of z solve this equation

x + y =17            →(3)

11x +8y =160      →(4),

multiply (3) by 8 we get, 8x+8y=136 and subtract the equation (3) from the equation (4)

11x+8y=160

8x+8y=136                               [multiply by(-) on both sides]

we get x=3 substitute this 'x' value in equation (3)

3+y=17

y = 14.

The maximum z = 11x+8y

                         z = 11(3)+8(14)               [substitute (3,14)]

       maximum z =145.

Hence, using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .

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Answer:

its a

Step-by-step explanation:

i guessed on edge lol

Answer:

B

Step-by-step explanation:

1/25 = 0.04 only. this is surely the anwer

Step-by-step explanation:

that seems like a decimal? 2.8?

9+6²-2.8

9+36-2.8

42.2

hope it helps.

have a great day :)

Answer: d. 29%

Step-by-step explanation:

The mixture of the two concentrations should equal a concentration that is between the concentration percentages of the two solutions.

This is because the lower concentration percentage will pull the higher one down while the higher concentration will pull the lower one up. It will not be possible to get a mixture concentration that is lower than the lower concentrated acid or higher than the higher concentration acid.

Mixture concentration must be between 15% and 25%.

Option D at 29% is therefore not possible.

Answer:

72 (d)

Step-by-step explanation:

I did the math

Answer:

2 out of 6

Step-by-step explanation:

I think its this because out of the 6 sides you are hoping that two of the outcomes are true

Answer:

I got

10% of 70 is 7

Answer:

First one is 70

Second one is 24

Step-by-step explanation:

First one :7*100=700

700÷10=70

The second one :6*100=600

600÷25=24

Answer:

Step-by-step explanation:

No

Answer:

No, Picture it as fractions. 1:2 is the same as 1/2, and 1:3 the same as 1/3

Answer:

2^5

,,,,,,,,,,, ,,,,,,,,,

Answer:

60 x 4

Step-by-step explanation:

Answer:

y=35x+60

x=4

Step-by-step explanation:

Answer:

my teacher has cancer please help her at #snowmanchallenge

Step-by-step explanation:

try to spread the help every snowman is ten dollars for her

Answer:

84

Step-by-step explanation:

112/20= 5.6

5.6*15=84

brainly is easy

Answer:

n must be less than or equal to 10

Step-by-step explanation:

Answer:

[tex] \sin(30°) = \frac{10}{y} \\ \frac{1}{2} = \frac{10}{y} \\ \boxed{y = 20 \: mi}[/tex]

or,

[tex] \cos(60°) = \frac{10}{y} \\ \frac{1}{2} = \frac{10}{y} \\ \boxed{y = 20 \: mi}[/tex]

Answer:

Area of triangle = 15 square units

Step-by-step explanation:

We need to find area of the triangle, given the vertices:

A=(4,0)

B=(1,5)

C=(7,5)

The formula used is: [tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))[/tex]

We have: [tex]x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5[/tex]

Putting values and finding area

[tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))\\Area\:of\:triangle=\frac{1}{2}(4(5-5)+1(5-0)+7(0-5))\\Area\:of\:triangle=\frac{1}{2}(4(0)+1(5)+7(-5))\\Area\:of\:triangle=\frac{1}{2}(0+5-35)\\Area\:of\:triangle=\frac{1}{2}(-30)\\Area\:of\:triangle=-15[/tex]

We will be ignoring negative sign, because area of triangle is positive.

So, Area of triangle = 15

Answer:

600

Step-by-step explanation:

Answer:

16°

Step-by-step explanation:

We know that in parallelogram opposite angles are equal so

4u - 8° = 6u - 40°

6u - 4u = 40° - 8°

2u = 32°

u = 32° /2

u = 16°

The value of u should be 16° to make PQRS parallelogram.

Hope it will help.

Answer:

[tex]\displaystyle 16 = u[/tex]

Step-by-step explanation:

Diagonal, opposite angles are congruent in every parallelogram:

[tex]\displaystyle [5u + 44]° = [14u - 100]° → -144 = -9u; 16 = u \\ \\ AND/OR \\ \\ [6u - 40]° = [4u - 8]° → -32 = -2u; 16 = u[/tex]

No matter which pair you take, you will ALWAYS arrive at the same exact solution.

I am joyous to assist you at any time.

Answer:

alright gotcha!

Step-by-step explanation:

I am attaching the photo gimme some time

Answer:

the slope of this line is 1

Answer:

The slope of this line is 1

Answer:

2x + 10 + 2y

Step-by-step explanation:

6x + 3 – 4x + 2y + 7

(6x - 4x) = 2x

2x + 3 +2y + 7

(3 + 7) = 10

Answer: 2x + 10 + 2y

Answer: The greatest number of bags is 6.

Step-by-step explanation:

In each bag, there would be 4 glow sticks and 5 tattoos, which is the greatest number that can be put in each bag without having any left.

Answer:

Option A: 8 yards

Step-by-step explanation:

From the given graph, we have;

Coordinate of point A = (1, -4)

Coordinate of point B = (-3, 3)

Now,he threw baseball from point A to point B.

Distance between two coordinates is;

√((y2 - y1)² + (x2 - x1)²)

AB = √((3 - (-4))² + (-3 - (1))²)

AB = √(7² + (-4)²)

AB = √(49 + 16)

AB = √65 yards

AB = 8.06 yards

Approximating to a whole number gives;

AB ≈ 8 yards

Answer:

x = 15.69

Step-by-step explanation:

Given that,

Height, h = 9

Hypotenuse, H = x

Angle, [tex]\theta=35[/tex]

We need to find the value of x.

The relation between height, Hypotenuse and the angle is given by :

[tex]\sin\theta=\dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\sin(35)=\dfrac{9}{x}\\\\x=\dfrac{9}{\sin(35)}\\\\x=15.69[/tex]

So, the value of x is 15.69.

Answer:

hope this helps, brainlist? (OwO)

Step-by-step explanation:

I think the answer is 27.89 feet, C

The building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Lenght of the ladder = 32 foot

The angle formed between the ladder and the ground = 29.37°

The ladder, wall of the building, and the ground are making a right-angle triangle.

Let's suppose the base of the ladder is x feet far from the building.

Applying the Cos ratio to find the value of x:

[tex]\rm Cos29.37\°=\frac{x}{32}[/tex]

x = 27.887 feet or     (Cos29.37°  = 0.871)

x = 27.89 feet

Thus, the building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

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Answer:

2 oranges

Step-by-step explanation:

Two halves make a whole orange, and since there's four of them, they are eating 2 oranges.

Answer:they would have eaten 2 because 1/2+1/2 is a whole and since there are 4 boys eating 1/2 of an orange they would have eaten 2 oranges

Answer:

This is a multiple step question. Before you can answer it you must find what it is asking, which is the highest rate for making money, or the greatest rate of change. To compare the rate of change between each grade, you must first have them in common units, which can be done by finding how much money was made by each grade in one hour. To find this, divide the number of dollars made by the number of hours it was made in to get how much was made in one hour. Doing this shows that the sixth grade made 34 dollars an hour (170 divided by 5), seventh made 28 dollars an hour (112/4), and the eighth grade made 32 dollars an hour (192/6). Then compare the numbers to see that the greatest amount earned in one hour was 34 dollars, by the sixth grade, which then becomes your answer: The sixth grade had the highest rate for raising money.

Answer:

1. 29.67°

2. 68.96°

3. 89.85°

Step-by-step explanation:

1. Reference angle = x

Opposite = 45 cm

Adjacent = 79 cm

Therefore:

[tex] tan(x) = \frac{45}{79} [/tex]

[tex] tan(x) = 0.569620253 [/tex]

[tex] x = tan^{-1}(0.569620253) [/tex]

[tex] x = 29.67 [/tex] (nearest hundredth)

2. Reference angle = B

Opposite = 14

Hypotenuse = 15

Therefore:

[tex] sin(B) = \frac{14}{15} [/tex]

[tex] sin(B) = 0.93333 [/tex]

[tex] B = sin^{-1}(0.93333) [/tex]

[tex] B = 68.96 [/tex] (nearest hundredth)

3. Reference angle = x

Adjacent = 238,900 mi

Hypotenuse = 92,955,807 mi

Therefore:

[tex] cos(x) = \frac{238,900}{92,955,807} [/tex]

[tex] x = cos^{-1}(\frac{238,900}{92,955,807}) [/tex]

[tex] x = 89.85 [/tex] (nearest hundredth)