How do I solve this problem?

Based on the information given, the annual dollar difference will be C. $5600.

Based on the information given, the annual dollar difference will be calculated as follows:

= (13% × $112000) - (8% × $112000)

= (0.13 × $112000) - (0.08 × $112000)

= $14560 - $8960

= $5600

In conclusion, the correct option is $5600.

Learn more about percentages on:

https://brainly.com/question/14323743

Answer:

The constant of variation is $1.50

Step-by-step explanation:

Given

Point 1 (1,2)

Point 2 (5,8)

Required

Constant of Variation

Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.

Having said that,

the constant variation can be solved by calculating the gradient of the graph;

The gradient is often represented by m and is calculated as thus

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1, y_1) = (1,2)\\(x_2, y_2) = (5,8)[/tex]

By substituting values for x1,x2,y1 and y2; the gradient becomes

[tex]m = \frac{8 - 2}{5 - 1}[/tex]

[tex]m = \frac{6}{4}[/tex]

[tex]m = \frac{3}{2}[/tex]

[tex]m = 1.50[/tex]

Hence, the constant of variation is $1.50

Answer:

A

Step-by-step explanation:

Answer:

x=7.608696

Step-by-step explanation:

Simplify both sides of the equation.

262.5=10.5x+24x

262.5=(10.5x+24x)(Combine Like Terms)

262.5=34.5x

262.5=34.5x

Step 2: Flip the equation.

34.5x=262.5

Step 3: Divide both sides by 34.5.

34.5x

34.5

=

262.5

34.5

x=7.608696

Answer:

A' (3,1)

Step-by-step explanation:

You start with (-3,5)

Translation Down 4: (-3,1), just subtract 4 from the y-coordinate

Reflection over the y-axis: (3,1), multiply -1 to the x-coordinate

Answer:

Step-by-step explanation:

To prove ΔXYZ ~ ΔMNO using the property of SSS, we need to know that All corresponding sides of these triangles are proportional.

Similarly, If we know the length of side XZ then addition information we need to know that angle O is congruent to angle Z and length of sides YZ, MO and NO to prove ΔXYZ ~ ΔMNO by SAS property.

Angle O is the contained angle between the sides MO and NO.

Answer:

1. MN = 6 and XZ = 17.5

2. angle Z

Step-by-step explanation:

Sorry if this is a late answer but I hope this helps :)

Answer:

a²-6=b

Step-by-step explanation:

[tex]a=\sqrt{b+6}[/tex]

taking square  on both sides

a²=(√b+6)²

square root will be cancelled by square

a²=b+6

a²-6=b

Answer:

[tex]b= a^{2} -6[/tex]

Step-by-step explanation:

[tex]a = \sqrt{b+6}[/tex]

→ First square both sides to get rid of the root

[tex]a^{2} =b+6[/tex]

→ Minus 6 from both sides to isolate b

[tex]a^{2} -6=b[/tex]

→ Or

[tex]b= a^{2} -6[/tex]

Answer:

0.00456

Step-by-step explanation:

Given: Percentage of free throws = 74%

Required:  What is the probability of Glen Davis making none of his next 4 free throw attempts?

Since, there is a free throw 74% of the time, thus, the time he misses = 26% of the time.

To miss four in a row, it is requires to miss the first throw, the second throw, the third throw and also the fourth throw.

Thus, the probabilities of Gien missing will be multiplied.

By using the probability formula -

P ( MMMM) = 26/100 × 26/100 × 26/100 × 26/100

                   = 456976/ 100000000

                   = 0.00456

Therefore, the probability that he will have next 4 free attempts is 0.00456.

Answer:

Frequency: 20

A.F: 650

Mean: 30

Step-by-step explanation:

Frequency and A.F were just sums of the values mentioned for each

The mean:

Definition: the average of a data.

Formula: sum of numbers divided by the number of numbers

Answer: (28 x 2 + 29 x 4+ 30 x 8 + 31 x 4+ 32 x 2) divided by 20 = 30

Hope this helps

Answer:

(A)Each triangle has two congruent angles: Angle M is congruent to angle O and Angle R is congruent to angle S.

Step-by-step explanation:

In Triangle MNO

[tex]\angle M = 54.4$ degrees, \angle N = 71.2$ degrees\\\angle M+\angle N+\angle O=180^\circ\\54.4^\circ+71.2^\circ+\angle O=180^\circ\\\angle O=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ[/tex]

In Triangle RST

[tex]\angle R = 54.4$ degrees, \angle T = 71.2$ degrees\\\angle R+\angle T+\angle S=180^\circ\\54.4^\circ+71.2^\circ+\angle S=180^\circ\\\angle S=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ[/tex]

Therefore:

Triangle NMO is congruent to triangle TSR; and

Triangle NMO is congruent to triangle TRS

This is because

[tex]\angle M \cong \angle O =54.4^\circ; and\\ \angle R \cong \angle S =54.4^\circ .[/tex]

The correct option is A.

Answer:

A

Step-by-step explanation:

Just did the test.

Answer:

320cm³ (option C)

Step-by-step explanation:

The complete image of the question can be found in:

https://brainly.com/question/16820683

Volume of bird house = volume of a cuboid + volume of a triangular prism

Volume of a cuboid = length × breadth × height

= 8cm × 5cm × 6cm = 240cm³

Volume of triangular prism = ½ base ×height ×length

= ½ × 8×4×5 = 80cm³

Volume of bird house = 240+80

Volume of bird house = 320cm³

Amount of birdseed that will it take to fill the birdhouse = Volume of bird house = 320cm³

A. subtract the bottom equation from the top equation

Step-by-step explanation:

The elimination method for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation. So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation.

// have a great day //

Answer:

B.

Step-by-step explanation:

[tex]2\pi *5*9+2\pi* 5^2[/tex]

[tex]2*3.14*5*9+2*3.14*25=439.6[/tex]

Answer:

As shown in picture,

EB is perpendicular with AC

DC is perpendicular with AC

=> EB // DC

Applying Thales theorem:

BC/AC = ED/AD

=> AD = ED x AC/BC = 72 x 88/55 = 115.2

=> AE = AD - ED = 115.2 - 72 = 43.2

Hope this helps!

:)

Answer:

all work shown and pictured

Answer:

Simplifying

(2j + 1) * 9 + -7j = 0

Reorder the terms:

(1 + 2j) * 9 + -7j = 0

Reorder the terms for easier multiplication:

9(1 + 2j) + -7j = 0

(1 * 9 + 2j * 9) + -7j = 0

(9 + 18j) + -7j = 0

Combine like terms: 18j + -7j = 11j

9 + 11j = 0

Solving

9 + 11j = 0

Solving for variable 'j'.

Move all terms containing j to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + 11j = 0 + -9

Combine like terms: 9 + -9 = 0

0 + 11j = 0 + -9

11j = 0 + -9

Combine like terms: 0 + -9 = -9

11j = -9

Divide each side by '11'.

j = -0.8181818182

Simplifying

j = -0.8181818182

Answer:

11j + 9

Step-by-step explanation:

(2j + 1)9 - 7j

or

9(2j + 1) - 7j

18j + 9 - 7j

18j - 7j + 9

11j + 9

Step-by-step explanation:

The number of students who jog and have one sibling who jogs is 416.

The total number of students who have one sibling who jogs is 1823 + 416 = 2239.

So the probability that a student jogs if they have one sibling who jogs is 416/2239 = 0.186.

The number of students who jog and have two siblings who jog is 400.

The total number of students who have two siblings who jog is 1380 + 400 = 1780.

So the probability that a student jogs if they have two siblings who jog is 400/1780 = 0.225.

Therefore, a student is more likely to jog if they have two siblings who jog than one sibling who jogs.

Answer:

x = 12 in ; Type in 12 in the box

Step-by-step explanation:

If we were to apply triangle formula ; 1/2 * base * height, we would see that length of height ⇒ 10 inches, and length of base ⇒ x inches,

Given an Area of 60 square inches let us substitute into the formula 1/2 * base * height and solve for x;

Area of Triangle = 1/2 * base * height,

60 in^2 = 1/2 * x in * 10 in ⇒ take 1/2 * 10,

60 in^2 = 5 in * x in ⇒ divide either side by 5 in,

12 in = x in ⇒ divide either side by inches,

x = 12 inches,

Solution; x = 12 in

Answer: 0.046

Step-by-step explanation:

From the question,

orange jelly beans= 7

Cherry jelly beans =9

Lemon jelly beans = 3

Licorice jelly beans = 15

Blueberry jelly beans = 6

Total jelly beans = 40

The probability of choosing the first cherry jelly beans will be = 9/40

After the first one is chosen, there'll be 8 cherry jelly beans and total of 39 left. The probability of choosing the second one will be = 8/39

The probability of choosing two cherry jelly beans in a row will be:

= 9/40 × 8/39

= 72/1560

= 0.046

Step-by-step explanation:

(i) Use law of cosine:

c² = a² + b² − 2ab cos C

c² = (√3 − 1)² + (√3 + 1)² − 2(√3 − 1)(√3 + 1) cos 60°

c² = 3 − 2√3 + 1 + 3 + 2√3 + 1 − 2(3 − 1) (½)

c² = 6

c = √6

(ii) Use law of sines:

a / sin A = c / sin C

(√3 − 1) / sin A = √6 / (½√3)

(√3 − 1) / sin A = 2√2

½ (√3 − 1) = √2 sin A

½ (√6 − √2) = 2 sin A

¼ (√6 − √2) = sin A

Use a calculator:

A = 15°

(iii) Use SAS area:

A = ½ ab sin C

A = ½ (√3 − 1) (√3 + 1) sin 60°

A = ½ (3 − 1) (½√3)

A = ½√3

Answer:

50.27 cm

Step-by-step explanation:

Circumference=πd=π·16≈50.26548 cm

Answer:

50.27cm

Step-by-step explanation:

[tex]C=2\pi r=2*\pi *8=50.26548\\=50.27cm\\[/tex]

Answer:

4km

Step-by-step explanation:

2x2=4km

Answer:

s = 32

Step-by-step explanation:

–5(s – 30) = –10

Divide each side by -5

–5/ -5(s – 30) = –10/-5

s - 30 = 2

Add 30 to each side

s-30+30 = 2+30

s = 32

Answer:

D. s=32

Step-by-step explanation:

To solve the equation, we want to find out what s is. In order to do this, we have to get s by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

–5(s – 30) = –10

s-30 is being multiplied by -5. The opposite of multiplication is division. Divide both sides by -5.

–5(s – 30)/-5= –10/-5

s-30=-10/-5

s-30=2

30 is being subtracted from s. The opposite of subtraction is addition. Add 30 to both sides.

s-30+30=2+30

s=2+30

s=32

Let's check our solution. Substitute 32 in for s in the original equation. If our solution is correct, the left side of the equation should match the right side.

–5(s – 30) = –10

-5(32-30)=-10

-5(2)= -10

-10=-10

The statement above is true, so we know that s is equal to 32, and D is the correct answer.

Answer:

If all the sides of the solid are flat, then it is said to be a polyhedron

Step-by-step explanation:

Given: a polyhedron

To find: attributes of a solid figure to classify it as a polyhedron

Solution:

A polyhedron is a three-dimensional figure with flat faces as polygons. It has straight edges and sharp vertices. It is made by joining polygons together.

If all the sides of the solid are flat, then it is said to be a polyhedron but if the solid has at least one curved side, then it is not a polyhedron.

[tex]x+50+x=180\\2x+50=180\\2x=180-50\\2x=130\\x=65[/tex]

Answer:

b. ab + c = d b = a + c/d b = a/(c - d) b = (d - c)/a

Step-by-step explanation:

Answer:

8km/h

Step-by-step explanation:

Given:

To be calculated:

Calculate the average speed of a car ?

Formula used :

Average speed = Distance/Time

Solution:

We know that,

Average speed = Distance/Time

☆ Substituting the values in the above formula, we get

Average speed = 45 km / 5 h

= 9 km/h

Thus, the average speed of a car is 9 km/h .

Answer:

4

Step-by-step explanation:

Whichever number appears the most in the list of numbers which in this is 4

Answer: 4.2

Step-by-step explanation:

Everytime the x goes up 1, the height goes up 4.2

Answer:

The slope is 4.2 cm per week

Step-by-step explanation:

Take the difference in time and divide by the difference in time

m = (y2-y1)/(x2-x1)

   = (20.4-16.2)/(2-1)

  =4.2/1

The slope is 4.2 cm per week

The key thing to look for to determine whether a sequence is geometric is to see whether the ratio between consecutive terms - the number I would multiply one term by to get the next - is constant.

By inspection, we see that the fourth answer choice satisfies that, as [tex]\frac{81}{27}=\frac{27}{9}=\frac{9}{3}=\frac{3}{1}=3.[/tex] Why not the first? We have [tex]2=\frac{12}{6}\ne\frac{6}{2}=3.[/tex]

The third choice is not a geometric sequence, but rather an arithmetic sequence, where the difference between consecutive terms is constant. Just to make sure that it isn't geometric, we compute [tex]\frac{14}{9}\ne\frac{9}{4}.[/tex]

The second sequence is not geometric (although it does eventually converge to 1, but not its corresponding series), as [tex]\frac{4}{3}=\frac{2/3}{1/2}\ne\frac{3/4}{2/3}=\frac{9}{8}.[/tex]

Answer:

its D

Step-by-step explanation:

Answer:

a) Find attached the completed Venn diagram (2nd diagram)

b) 25

c) 46

A related Question found at brainly (ID 16765143):

A group of 80 students in a college are surveyed. They are asked which of Spanish or French they are studying. 71 of the students surveyed studies at least one of the two languages.

a) Complete the Venn diagram.

b) How many students study only french?

c) How many students study Spanish?

Step-by-step explanation:

Find attached the Venn diagram (1st diagram)

a) Total number of students in college = 80

Since 71 out of the 80 students surveyed studies at least one of the two languages, the number of students that studied neither French nor Spanish = 80-71 = 9

From the venn diagram:

Number of students that study Spanish = 14

Number of students that study French = 25

We need to determine if the values are for Spanish only and French only respectively or for at least Spanish and French respectively.

Estimated value for the middle term = 80-(14+25+9) = 32

From the above calculation, the number of students that study both Spanish and French is 32 and it is more than each set value. This implies the value given in the Venn diagram is for Spanish only and French only respectively.

Let number of students that study both Spanish and French = x

Spanish only = 14

French only = 25

the number of students that studied neither French nor Spanish = 9

Total:

14 + 25 + x + 9 = 80

48 + x = 80

x = Number of students that study both Spanish and French = 32

b) French only = 25

c) Number of  students that study Spanish = students that study at least Spanish

= 14+x = 14+32

Number of  students that study Spanish = 46