the formula S=C(1 +r)^t models inflation, where C= the value body, r= the annual inflation rate (in decimal form), and S = the inflated value t years from now. if the inflation rate is 3%, how much will a house now worth $163,000 be worth in 15 years? round your answer to the nearest dollar

Answer:

Yes

Step-by-step explanation:

When you divide it, it has no remainder.

Hope this helps

Answer:

yes it is as when you divide it it has no remainder

Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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FE = 15 units as per the Pythagoras theorem.

∠D = 65°

A right-angled triangle is another situation in which the right angle is applied.

A triangle is referred to as a right-angled triangle if one of its three angles is 90 degrees.

A right-angled triangle's three interior angles all add up to 180 degrees, thus if one angle is always 90 degrees, the other two must also always add up to 90 degrees.

Now in the triangle given,

DF = 8, DE = 17

Using Pythagoras theorem, we can get FE.

FE² = DE² - DF²

FE ² = 289 - 64

FE² = 225

FE = 15

Now using the principles of angles in a right angle triangle:

∠D + ∠F + ∠E = 180°

∠D = 180 - 90 - 25

∠D = 65°

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Answer: The correct answer is x=-10

Step-by-step explanation:

Just took the test and saw the other persons comment<3

Answer:

B

Step-by-step explanation:

it is simple.

because AB > AD, their size representations must have the same relationship.

therefore,

9x - 16 > 1.5x + 42

that could be simplified to

7.5x > 58

The inequality that represents AB > AD is B: 9x - 16 > 1.5x + 42.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, In Rectangle ABCD the length of AB is greater than the length of AD.

∴ The inequality that represents this is AB > AD which is,

9x - 16 > 1.5x + 42.

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Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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how

how you get 800 in 8000000 to 87777

The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

If a 4-yard dumpster cost $95.00 monthly, the total cost for the year is $1,140.

The total cost for the year of the dumpster is the product of the multiplication of the monthly cost and 12.

Multiplication is one of the four basic mathematical operations, including addition, subtraction, and division.

In any multiplication, there must be the multiplicand (the number being multiplied), the multiplier (the number multiplying the multiplicand), and the product (or the result).

The monthly cost of the 4-yard dumpster = $95.00

1 year = 12 months

The total annual cost = $1,140 ($95 x 12)

Thus, using the multiplication operation, we can find that none of the options is correct as the total annual cost but $1,140.

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Answer:

40 yd

Step-by-step explanation:

Answer: 7y + 20

Step-by-step explanation:

It says the product of 7 and y so you multiply both of them. And increase means add, so you add 20

Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

Answer:

g i did that before

Step-by-step explanation:

The solution to the equation 3x = 8 - 2x is x = 1.6.

To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:

Express the equation in the form of y = f(x). Rearrange the equation:

3x + 2x = 8

5x = 8

x = 8/5 or 1.6

Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.

Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.

The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).

Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.

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9514 1404 393

Answer:

  {2.96, 12.66}

Step-by-step explanation:

A graph shows the rocket will be 600 feet up after 2.96 seconds, and again at 12.66 seconds.

__

You can solve the equation h = 600 to find the times.

  -16t^2 +250t = 600

  -16(t^2 -15.625t) = 600

  -16(t^2 -15.625t +7.8125²) = 600 -16(7.8125²)

  -16(t -7.8125)² = -376.5625

  t -7.8125 = √(376.5625/16) ≈ ±4.8513

  t = 7.8125 ± 4.8513 ≈ {2.9612, 12.6638}

The rocket will be 600 ft above the ground 2.96 and 12.66 seconds after launch.

Answer: A. 1

Step-by-step explanation:

sorry if im wrong

Answer:

30

Step-by-step explanation:

is mrs. jones is 40, her son is 10, sum = 50.

ten years before son was 0, mrs. jones was 30

Answer:

approximate normal with mean is 2.3 and the variance is 0.2

Step-by-step explanation:

Given that

The mean is 2.3 coyotes per day

The variance is 2 coyotes per day

The random sample is 100 days

We need to describe the sample mean and approximate normal with mean

So,

= 2 ÷ √100

= 0.2

So approximate normal with mean is 2.3 and the variance is 0.2

The same would be considered and relevant

The height of the building in consideration is 422.1 meters

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

Given that the person watching the building's 86th floor is at A.

So, 86th floor is at C, the base of the building is at B.

The total height of the building is at D.

Using the tangent ratio to find the height of the building, we get:

Tan (82) = x / 49

x = 296.1

Thus, the height of the building is length of AD

= |AD| = x + 124 ≈ 296.1+ 128 = 422.1 meters

Thus, the height of the building in consideration is given approximately as 422.1 meters

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

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The density of the cube that has a mass of 25 grams and the given volume is

The substance with the least density is Substance C.

Density can be found by the formula :

= Mass / Volume

= 25 / 125

= 0. 2 g / cm ³

The substance that would have the least density is Substance C because it is gas and gas generally has less density than liquids and solids. This is because the molecules of gas are more spread out and have more energy than molecules in liquids and solids.

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Answer:

y = 3/2x + 7

Step-by-step explanation:

The slops is rise over run, so in this case the slope is 3/2 because it goes up 3 units while going 2 units to the right.

The points (0,7) is on the y axis. This means that 7 is the y intercept

With this information, we can follow the format of the slope intercept equation: y = mx + b

m stands for the slope and b stands for the y intercept. Plugging the information in, our equation is:

y = 3/2x + 7

Answer:

A) 12 / 13

Step-by-step explanation:

The Sine of a number is defined as the ratio of the length of the side opposite the angle, divided by the length of the hypotensue.

Answer:

3 hours

Step-by-step explanation:

The work that took 6 hours would be divided between two people.

So 6/2 = 3

Step-by-step explanation:

I just answered this.

we have 2 angles and their connecting side in between that are congruent (identical).

so, it is D. ASA (angle side angle)

just look up the meaning of the acronyms, and it will all be clear and very easy.

Answer:

X = 920

Step-by-step explanation:

To start off, we have to find how many times 34% can go into 100%. It can go in precisely 2.94117647059 times. Then, we take that number and multiply it by 312.8, since 312.8 is 34% of 100%. We get 920 from that, which is the answer.

Hope this helped!

A percentage is a way to describe a part of a whole. The value of x rounded to the nearest whole number is 920.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the number 312.8 is 34% of x. Therefore, we can write,

34% of x = 312.8

(34/100) × x = 312.8

Multiply both the sides of the equation by 100,

(34/100) × x × 100 = 312.8 × 100

Divide both the sides of the equation by 34,

[(34/100) × x × 100] ÷ 34 = (312.8 × 100) ÷ 38

x = (312.8 × 100)/34

x = 920

Hence, the value of x rounded to the nearest whole number is 920.

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