A person earns $25,100 one year and gets a 5% raise in salary. what is the new salary?

Answers

Answer 1

Answer:

Answer:

A 5% raise can be written as 1.05 so the new salary is 25100 * 1.05 = $26355.

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To divide a number by 1,000, move the decimal point _____.four places to the right four places to the left three places to the right three places to the left
The lines 3y-x=3 and y+3=3(x-1) are
The table below shows the amount of money, in hundreds of dollars, Elliot has saved after different numbers of years: Identify the function that represents Elliot's savings and the amount that Elliot will have saved in 9 years. y = 15x, in 9 years he will have saved $13,500 y = x + 15, in 9 years he will have saved $2,400 y = 6x, in 9 years he will have saved $5,400 y = x + 90, in 9 years he will have saved $9,900
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!For which intervals is the function increasing?Select EACH correct answer.

A scooter travels 30 feet in 2 seconds at a constant speed. Complete the double number line to show the distance the scooter travels after 1, 3, 4, and 5 seconds. What is the speed of the scooter in feet per second? [ Select ] What is the distance the scooter travels after 3 seconds? [ Select ] A skateboard travels 55 feet in 4 seconds. Is the skateboard going faster, slower, or the same speed as the scooter? [ Select ]

Answers

Answer:

1) 15 feet per second

2) distance after 3 seconds 45 feet

3) slower

Step-by-step explanation:

1) 30/2 = 15

2) 15 x 3

3) 55/4 = 13.75 < 15

Final answer:

The scooter travels 15 feet after 1 second, 45 feet after 3 seconds, 60 feet after 4 seconds, and 75 feet after 5 seconds. The speed of the scooter is 15 feet per second. The skateboard is going slower than the scooter.

Explanation:

To complete the double number line, we need to determine the distance the scooter travels after 1, 3, 4, and 5 seconds. Since the scooter travels 30 feet in 2 seconds at a constant speed, we can determine the distance for each time by finding the proportion:

After 1 second: 30 feet / 2 seconds = 15 feet

After 3 seconds: 30 feet / 2 seconds * 3 seconds = 45 feet

After 4 seconds: 30 feet / 2 seconds * 4 seconds = 60 feet

After 5 seconds: 30 feet / 2 seconds * 5 seconds = 75 feet

The speed of the scooter is the same as its constant speed, which is 30 feet / 2 seconds = 15 feet per second.

The distance the scooter travels after 3 seconds is 45 feet.

Since the scooter traveled 30 feet in 2 seconds, and the skateboard traveled 55 feet in 4 seconds, we can compare their speeds. The scooter traveled 30 feet in 2 seconds, which means its speed is 30 feet / 2 seconds = 15 feet per second. The skateboard traveled 55 feet in 4 seconds, so its speed is 55 feet / 4 seconds = 13.75 feet per second. Therefore, the skateboard is going slower than the scooter.

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A convenience sample differs from a voluntary sample in thata convenience sample is structured based on accessibility to the researcher, and a voluntary sample is based on participant interest.
convenience samples survey each participant once, and voluntary samples survey each participant numerous times.
convenience sampling is a method of random sampling, and a voluntary sample is not.
convenience sampling is not a probability-based method, and voluntary sampling is.

Answers

Answer: A convenience sample is structured based on accessibility to the researcher, and a voluntary sample is based on participant interest.

Step-by-step explanation:

For the conventional sample the researcher chooses a sample that is readily available in some non-random way. Thus, it is structured based on accessibility to the researcher.

But for the voluntary sample the researcher puts out a request for participants of a population to join the sample, and participants decide whether or not to be in the sample. Thus, it is based on participant interest.

The best answer to the incomplete statement above would be the first choice. A convenience sample differs from a voluntary sample because a convenience sample is based on how accessible or easily obtained participants are to the researcher, while a voluntary sample is based on the participants' interest of participating.

3. A local charity sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race. Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.

Answers

On creating and solving the linear inequality based on the given conditions, the charity needs at least 1000 race entries to raise at least $55,000.

What is linear inequality?

Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.

Let the number of race entries be x.

5000 + 55x + 10000 - 15x >= 55000

40x >= 40000

x >= 1000

The charity needs at least 1000 race entries to raise at least $55,000.

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55-15= 40

55,000-10,000=45,000

45000/55=819

i think it is 819?

Find the area and perimeter of an isosceles trapezoid with a 60° base angles and bases 9 and 13.

Answers

The area and perimeter of an isosceles trapezoid with a 60° base angles and bases 9 and 13 is 38.105 squared units and 24 units respectively.

What is area and perimeter of the isosceles trapezoid?

The area of the isosceles trapezoid is the space occupied by it. It can be find out using the following formula,

$A=(a+b)/(2)* h$

Permiter of the isosceles trapezoid is the total length of the boundary by which it is enclosed. It can given as,

$P=a+b+2c$

Here (a,b) are the base side (c) is the side of leg and (h) is the height.

The image of the given isosceles trapezoid is attached below. Let the value of leg is x units. Thus using right angle property the cos theta is,

$\cos60=(2)/(x)\nx=1$

And the height of this trapezoid is,

$\tan60(h)/(2)\nh=3.46$

Thus the area of the solid is,

$A=(9+13)/(2)* 3.46\nA=38.105\rm\; units^2$

The perimeter of the solid is,

$P=9+13+2*1\nP=24\rm\; units$

Thus, the area and perimeter of an isosceles trapezoid with a 60° base angles and bases 9 and 13 is 38.105 squared units and 24 units respectively.

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The trapezoid has two right triangles each with one side of length (13-9)2 = 4/2 = 2.

The other side of each right triangle is such that tan 60° = Heigth / 2

Then height = 2*tan60°.

The area of the trapezoid is height * (base 1 + base 2)/2

Then area = 2*tan (60°) * (13+9)/2 = 38.11

What is the explicit formula

Answers

Answer:explicit formula is a formula we can use to find the nth term of a sequence. In the easiest definition, explicit means exact or definite. The formula is explicit because as long as it's applied correctly, the nth term can be determined

Step-by-step explanation:

Answer:

inkly dinkly

Step-by-step explanation:

moopsie poopsie

The radius of a cylindrical tank is 5.5ft and the height is 12ft. What is the volume of the tank? Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

The volume of a cylinder is equal to the base area (a circle) times the height of the cylinder. In your case you have:

$V= \pi r^(2)*h$
So: $V=3.14( 5.5^(2))12=1139.8=1140 ft^(3)$

Final answer:

The volume of the cylindrical tank with a radius of 5.5ft and a height of 12ft can be calculated using the formula V=πR²h. When we plug in the values, we get a volume of 1139.82ft³ which rounds up to 1140ft³.

Explanation:

The volume of a cylindrical tank is calculated by the formula V = πR²h, where R is the radius and h is the height. In this case, the radius of the tank is 5.5ft and the height is 12ft. Let's plug these values into our formula.

Volume = π × (5.5ft)² × 12ft = 3.14 × 30.25ft² × 12ft = 1139.82ft³

When we round this to the nearest whole number, we get a volume of 1140 cubic feet for the tank.

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