To buy a car, Mitchell borrowed $17,000 at an annual (yearly) simple interest rate of 9%. During his first year of this loan, he will owe the bank $1530 in interest.

My Answer to this would be: 25.26

Answer:

a) sin x

b) cos² x

c) sin²x

Step-by-step explanation:

Step(i):-

Given that the trigonometric equation

      [tex]tan(\frac{x}{2} ) + cos x tan (\frac{x}{2} ) = sin x[/tex]

we have to use trigonometric formulas

  [tex]1-cosx = 2sin^{2} (\frac{x}{2} )[/tex]

 [tex]sin x = 2 sin \frac{x}{2} cos\frac{x}{2}[/tex]

now

              [tex]tan\frac{x}{2} = \frac{sin\frac{x}{2} }{cos\frac{x}{2} }[/tex]

                       = [tex]\frac{2sin(\frac{x}{2} ) sin\frac{x}{2} )}{2sin\frac{x}{2} cos\frac{x}{2} }[/tex]

                       = [tex]\frac{2sin^{2} (\frac{x}{2} ) )}{sinx }[/tex]

                      = [tex]\frac{1-cosx}{sinx}[/tex]

Step(ii):-

[tex]tan(\frac{x}{2} ) + cos x tan (\frac{x}{2} ) = \frac{1-cosx}{sinx} +cosx \frac{1-cosx}{sinx}[/tex]

                                = [tex]\frac{1-cosx +cosx(1-cosx)}{sinx}[/tex]

                               = [tex]\frac{1-cosx+cosx-cos^{2} x}{sinx}[/tex]

                               = [tex]\frac{1-cos^{2} x}{sinx}[/tex]

                               = [tex]\frac{sin^{2}x }{sinx}[/tex]

                               = sinx

Answer:

Its the first choice. Width:9 Length:13

Step-by-step explanation:

If the length is 4 meter more than the width than that means whatever the width is you must add 4 to it, in this case the width is 9 so add 4 to it which equals 13. If the length matches your answer it is the correct choice.

The area of a rectangle is the product of its dimensions. The dimension of the rectangle is: [tex]Length = 13m[/tex] and [tex]Width = 9m[/tex]

Given that:

[tex]L =4 + W[/tex]

[tex]Area = 117[/tex]

The area of a rectangle is:

[tex]Area = L \times W[/tex]

So, we have:

[tex]L \times W= 117[/tex]

Substitute [tex]L =4 + W[/tex]

[tex](4 + W) \times W = 117[/tex]

Expand

[tex]4W + W^2 = 117[/tex]

Rewrite as:

[tex]W^2 + 4W- 117 = 0[/tex]

Expand

[tex]W^2 + 13W - 9W - 117 = 0[/tex]

Factorize

[tex]W(W + 13) - 9(W + 13) = 0[/tex]

Factor out W + 13

[tex](W - 9)(W + 13) = 0[/tex]

Solve for W

[tex]W = 9[/tex] or [tex]W = -13[/tex]

The dimension cannot be negative.

So:

[tex]W = 9[/tex]

Recall that:

[tex]L =4 + W[/tex]

[tex]L = 4 + 9[/tex]

[tex]L = 13[/tex]

So, the dimension of the rectangle is:

[tex]Length = 13m[/tex]

[tex]Width = 9m[/tex]

Read more about areas at:

https://brainly.com/question/15218510

Answer: The answer is 3 over 20.

Step-by-step explanation: On offer is 3 over 4 pizza.

Each person is given a slice that that is the same size as all the rest.

So the 3 over 4 pizza is split into 5 equally sized parts. Thus each of the 5 slices is 1 over 5 times 3 over 4 = 1x3 over 5x4 = 3 over 20 of a whole pizza.

Answer:

p=4

Step-by-step explanation:

4+2p=12

Step 1: Simplify both sides of the equation.

2p+4=12

Step 2: Subtract 4 from both sides.

2p+4−4=12−4

2p=8

Step 3: Divide both sides by 2.

2p/2=8/2

p=4

Answer:

p=4

Answer:

P = 4

Step-by-step explanation:

4 + 2p = 12

12 - 4 = 8

2p = 8

8 ÷ 2 = 4

P = 4

Answer:

Hi! The correct answer is $75 for 20 hours.

Step-by-step explanation:

Answer:

The correct answer is: Option D) 5

Step-by-step explanation:

Given equation is:

[tex]3(x + 2) + x = 2x + 16[/tex]

In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.

Putting x = 2

[tex]3(2 + 2) + 2 = 2(2) + 16\\3(4)+2 = 4+16\\12+2 = 20\\14 \neq 20[/tex]

Putting x = 3

[tex]3(3 + 2) + 3 = 2(3) + 16\\3(5)+3 = 6+16\\17+3 = 22\\20 \neq 22[/tex]

Putting x=4

[tex]3(4+2)+4 = 2(4)+16\\3(6)+4 = 8+16\\18+4 = 24\\22 \neq 24[/tex]

Putting x = 5

[tex]3(5+2)+5 = 2(5)+16\\3(7)+5 = 10+16\\21+5 = 26\\26 = 26[/tex]

The equation is true for x = 5

Hence,

The correct answer is: Option D) 5

Answer:

the percentage of 60/80 is 75

Answer:

10 jerseys :)))

Answer:

If the expression cannot be factored, write cannot be factored. 13. 4x + 12. 14. 8r - 14. 15 GEOMETRY The rectangle shown. 26. FUNDRAISING The Art Club receives below has a total area of (4x + 36). $10 plus $2 ... square feet. Factor 4x + i did it and a diffrent form can this help ?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

4.22

Answer:

23.2 miles

Step-by-step explanation:

10 + 1.25x

x = number of miles

so if the total cost is $39, this is the equation:

10 + 1.25x = 39

Solve:

10 + 1.25x = 39

1.25x = 29

x = 23.2

So the answer will be 23.2 miles.

Answer:

In Exact form: x = 1/100000

In Decimal form: 1 x 10^-5

Step-by-step explanation:

Answer:

0.00001

Step-by-step explanation:

Answer:

The answer tot he question provided is vertical (undefined)

Answer:

Priyah = 15

Amirah = 19

Shirley = 13

Step-by-step explanation:

Let A represents Amirah, P Priyah and S, Shirley.

So, we have:

[tex]A = 4 + P[/tex] --- 4 years older

[tex]S = P - 2[/tex] --- 2 years younger

[tex]A + P + S = 47[/tex]

Required

Find their ages

Substitute 4 + P for A and P - 2 for S in [tex]A + P + S = 47[/tex]

[tex]4 + P + P + P - 2 = 47[/tex]

[tex]4 + 3P - 2 = 47[/tex]

Collect Like Terms

[tex]3P = 47 - 4+ 2[/tex]

[tex]3P = 45[/tex]

Divide both sides by 3

[tex]P = \frac{45}{3}[/tex]

[tex]P = 15[/tex]

Substitute 15 for P in [tex]A = 4 + P[/tex] and [tex]S = P - 2[/tex]

[tex]A = 4 + 15[/tex]

[tex]A = 19[/tex]

[tex]S = 15 - 2[/tex]

[tex]S = 13[/tex]

Answer:

i think its c, point on r at -1 would go to 5, when flipped would b the same

Step-by-step explanation:

Answer:

option 3

Step-by-step explanation:

[tex]\frac{80}{5}=16[/tex]

Answer:

number 3

is the correct one out of the 4

Answer:

z = 22

Step-by-step explanation:

Since this is a rhombus, we know that parallel sides are equal in length and that the angles should add to 360 degrees. The opposing angles, therefore, are also equal in size. So, you can find the answer by setting the two angles to each other.

3z = z + 44

2z = 44

z = 22

Answer:

z=22

Step-by-step explanation:

3z = z + 44

3z - z = 2z

2z = 44

z = 22

Answer:

x = 28.1 (nearest tenth)

Step-by-step explanation:.since we are given two sides and an included angle, we would need to apply the Cosine Rule to find x. Thus,

x² = 18² + 14² - 2*18*14*Cos(122)

x² = 520 - (-267.079309)

x² = 520 + 267.079309

x² = 787.08 (approximated)

x = √787.08

x = 28.1 (nearest tenth)

Answer: the percent value-added time for this ride is 16.67%

Step-by-step explanation:

 Given that;

Waiting time for Vera = 35 minutes

Length of Vera's ride = 7 minutes

total processed time will; ( 35 + 7 ) = 42 minutes

the percent value-added time for this ride = ?

so

Percentage value-added time of Vera will be

= (length of the ride / total process time) × 100

we substitute

⇒ (7 / 42) × 100

⇒ 0.16666 × 100

⇒ 16.67%

Therefore the percent value-added time for this ride is 16.67%

Answer:

B

Step-by-step explanation:

For three side lengths to make a triangle, the two smaller ones have to add up to be greater than the third one. This is because if they are any smaller, they won't be able to touch and form a triangle. The formula for this is a+b>c.

You can go through each answer choice and determine whether or not it would work:

A. 12, 5, and 7

5 + 7 > 12 --> 12 > 12 (NOT true)

B. 10, 15, and 24

10 + 15 > 24 --> 25 > 24 (true!)

C. 9, 22, 11

11 + 9 > 22 --> 20 > 22 (NOT true)

D. 21, 7, and 6

7 + 6 > 21 --> 13 > 21 (NOT true)

This means that the correct answer is B.

Answer:

132.25π

Step-by-step explanation:

1. the formula of the required area is: A=π*r², where 'r' is radius of the circle;

2. the formula of the the circumference of a circle is: L=2πr, where 'r' is radius of the circle. If the circumference is 23π, then 23π=2πr and r=23/2.

3. if r=23/2, then the required area is:

F=π*(23/2)²=132.25π

Answer:

132.25π m

Step-by-step explanation:

23π/2 = 11.5π

π11.5^2 = 132.25 π

Answer:

2x = 3x + 6

Step-by-step explanation:

Key skills: Writing Out Equations

1) Let's say x is the number.

2) Twice the number means 2 times the number. This means it would be 2x.

3) 3 times a number is 3x. 6 more than that would be using addition, so it would be 3x + 6.

4) Therefore your answer would be 2x = 3x + 6

Hope you understood and have a nice day!!