The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with t tickets sold.$800 = $16t

What is the unit rate in the equation above?
A.
$784 per raffle ticket
B.
$16 per raffle ticket
C.
$50 per raffle ticket
D.
$800 per raffle ticket

Answers

Answer 1
Answer: C. $50 per raffle ticket

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A ladder leans against a building that angle of elevation of the latter is 70° the top of the ladder is 25 feet from the ground. to the nearest 10th of a foot how far from the building is the base of the ladder a. 20.5 feet b. 30.5 feet C.32.3’ or D.39.5 feet

Answers

Answer:

a. 20.5

Step-by-step explanation:

because this will form a right triangle we can use tan (opposite over adjacent) so an equation we could set up would be tan(70)=25/x

therefore we can just solve the equation which would give us 20.45. so if we round it the answer would be a

Answer:

The correct answer option is a. 20.5 feet.

Step-by-step explanation:

We are given that the angle of elevation of the ladder is 70° and the height of the ladder is 25 feet from the ground.

We are to find the distance of the building from the base of the ladder.

For this, we will use tan:

tan 70 = \frac { 2 5 } { x }

x = \frac { 2 5 } { tan 7 0 }

x = 20.5 feet

A Microgates Industries bond has a 10 percent coupon rate and a $1,000 face value. Interest is paid semiannually, and the bond has 20 years to maturity. If investors require a 12 percent yield, what is the bond’s value? * a. $849.45 b. $879.60 c. $985.18 d. $963.15 e. None of the above

Answers

Answer:

a. $849.45

Step-by-step explanation:

In the above question, we are given the following information

Coupon rate = 10%

Face value = 1000

Maturity = n = 20 years

t = number of periods = compounded semi annually = 2

Percent yield = 12% = 0.12

Bond Value formula =

C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)

C = coupon rate × face value = 10% × 1000 = 100

Bond value:

= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2

= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40

= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)

= 50 × 15.046296872 + 97.222187709

= $849.45

Bond value = $849.45

What is the measure of each angle of a regular 24-gon? If necessary, round to thenearest tenth.

Answers

Answer:

165°

Step-by-step explanation:

Find the interior angle measure by using the formula, ((n - 2) x 180°) / n

Plug in 24 as n:

((n - 2) x 180°) / n

((24 - 2) x 180°) / 24

(22 x 180°) / 24

3960 / 24

= 165

So, the measure of each angle is 165°

Answer:

163.6

Step-by-step explanation:

180•(22-2)=180•20 =3600

3600/22= 163.636363…

1/2(x+2)+7=3x+(-32)

explained pls

Answers

Answer:

x is equal to 16

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

Subtract  7 from both sides of the equation

Simplify it

Subtract  3 from both sides of the equation

Simplify

Multiply all terms by the same value to eliminate fraction denominators

Simplify

Subtract  2 from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify!

That's it!

Answer the question ready fast right now​

Answers

Answer:

<eba and <hbi are congruent angles

Step-by-step explanation:

They are vertical angles, therefore congruent

A television set is 36 inches wide and has a diagonal length of 42 inches. To the nearest inch, how tall is the set?

Answers

The height of the television set would be  21.6 inches to the nearest inch.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

We have been given that the television set is 36 inches wide and has a diagonal length of 42 inches.

Let b represent the height of the television set.

We will use the Pythagorean theorem;

36² + b² = 42²

1296 + b² = 1764

-1296. -1296

b² = 468

√ b² =√ 468

b = height

b = 21.6 inches

Therefore, the height of the television set would be  21.6 inches to the nearest inch.

Learn more about Pythagoras' theorem here:

brainly.com/question/12105522

#SPJ5

Pythagorean theorem.
36² + b² = 42²
1296 + b² = 1764
-1296. -1296
b² = 468
[square root] b² = [square root] 468
b= height =21.6 inches