At what annual interest​ rate, compounded​ annually, would ​$500
have to be invested for it to grow to $1,934.77 in 15 years?

The school building is 36ft tall.

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Chris is 6 feet tall and he casts a shadow that is 5 feet long

He measures that the shadow cast by the school building is 30 feet long

We can say the ratios will be same  6/h = 5/30

h =6 × 6 = 36 ft

Hence the school building is 36ft tall.

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Answer:

width= 4

hieght- 5.65

Step-by-step explanation:

so first lets find the diestnce between 0,0 and 4,4

which is 4 root 2

which is approciamitlty 5.65 and this would be the hieght

the width would be 22.64/5.65= approxiamitly 4

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9514 1404 393

Answer:

  1/2

Step-by-step explanation:

The midpoint is the average of the end points:

  (-3 +4)/2 = 1/2

The coordinate of the midpoint is 1/2.

Answer:

the x-intercept is 3 and the y-intercept is -4

Step-by-step explanation:

Answer:

x-intercept: (3,0)

y-intercept: (0,-4)

The population mean, or average score for the population on a certain variable, is symbolised as follows:μ = ( Σ Xi ) / N.

The mean of a data set is the sum of all values ​​divided by the total number of values, often called the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean", it is the most commonly used measure of central tendency. This result is obtained by dividing the total number of values ​​in the data set by the sum of all those values. Both raw data and data combined into frequency tables can be used in calculations. Mean refers to the average of a number. The calculation is simple: divide by the number of numbers when you added all the numbers. the total divided by the number.

The population mean or population mean score for  a given variable is symbolized as follows:μ = ( Σ Xi ) / N. The symbol 'μ' represents the population mean.

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Answer:

Initial amount P = $12000

Interest after 2 years I = 4%*2 = 8%

Investment into Trust fund:

Interest amount to exceed $20000:

Time required to get $2040:

The investment will exceed $20000 in the second half of the third year

Answer:

890

Step-by-step explanation:

Answer:

890

Step-by-step explanation:

Answer:

between 7/16 and 5/8

Step-by-step explanation:

Answer:

In the middle of the number line

Step-by-step explanation:

if one end of the number line is zero and the other end is the total number of slices, then half would be in the middle of the number line.

Answer:

(a) 9/50=0.18

(b) 12/3000=4×10^-3

The set of numbers {6, 8, 14} and the set {11, 14, 22} could represent the three sides of a triangle.

To determine whether a set of numbers could represent the sides of a triangle, we need to check if it satisfies the triangle inequality theorem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let's evaluate each set of numbers:

1. {6, 8, 14}

  The sum of the two smaller sides is 6 + 8 = 14, which is greater than the third side 14. Therefore, this set could represent the sides of a triangle.

2. {13, 20, 34}

  The sum of the two smaller sides is 13 + 20 = 33, which is less than the third side 34. Hence, this set cannot represent the sides of a triangle.

3. {11, 14, 22}

  The sum of the two smaller sides is 11 + 14 = 25, which is greater than the third side 22. Therefore, this set could represent the sides of a triangle.

4. {13, 20, 35}

  The sum of the two smaller sides is 13 + 20 = 33, which is less than the third side 35. Hence, this set cannot represent the sides of a triangle.

In summary, the sets {6, 8, 14} and {11, 14, 22} could represent the three sides of a triangle.

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Answer:

The median of a sample or set will always equal the middle number or the mean of the two middle numbers of that set.

The median of a sample will always equal the middle value when the data is arranged in numerical order.

For example, if you have a sample of odd number of values, say 7 :

3, 5, 6, 7, 9, 12, 15

The median would be 7, which is the middle value when the data is arranged in order.

If the sample has an even number of values, the median is the average of the two middle values.

For example, if you have a sample of 6 values:

2, 4, 7, 9, 10, 11

The median would be (7+9)/2 = 8, which is the average of the two middle values.

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Using the map scale given,

1. Corresponding distance between the two adjacent farmhouses on ground is: 1.6 km.

2. Shortest distance of the river (2.1 km) on the map is: 4.2 cm

A map scale can be defined as a ratio of the distance on a map in comparison of the actual distance on gorund.

Given:

Map scale = 1:50,000, this means that 1 cm on the map represnts 50,000  cm(0.5 km) on ground.

Therefore:

1. Corresponding distance between the two adjacent farmhouses on ground would be represented as x:

Thus:

3.2/x = 1/50,000

x = (50,000 × 3.2)/1

x = 160,000 = 1.6 km

2. Shortest distance of the river (2.1 km) on the map would be represnted as x:

x/2.1 = 1/0.5

x = (1 × 2.1)/0.5

x = 4.2 cm

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7000_1.8%=61.2%this is the answer

Answer: 8+i

Step-by-step explanation:

i always come in a pair, so if you have an -i you will have a +i

Answer:

16 × 10^-7

Step-by-step explanation:

(8x10^-3)x(2x10^-4) = 8×2× 10^(-4+-3)

= 16 ×10^-7

The probability of winning at least one award is 1 - 0.2373 = 0.7627 or 76.27%.

If the probability of winning an MTV music award after being nominated is 25%, the probability of not winning is 75%. Thus, the probability of not winning any of the five awards is (0.75)^5 = 0.2373.

As for how many awards Ariana Grande should expect to win, we can use the expected value formula: E(x) = n * p, where n is the number of trials (in this case, 5) and p is the probability of success (0.25). Therefore, E(x) = 5 * 0.25 = 1.25. So, Ariana Grande can expect to win about 1 award.

Finally, to calculate the standard deviation associated with this probability, we can use the formula: σ = sqrt(n * p * (1-p)). Plugging in the values, we get σ = sqrt(5 * 0.25 * 0.75) = 0.866. Therefore, the standard deviation associated with this probability is approximately 0.866.

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Answer:

2 \(ft^{3}\)

Step-by-step explanation:

volume of a cuboid = length * breadth * height

= 2*1*1

=2 \(ft^{3}\)

Answer:

The volume of container is 2 ft ³.

Step-by-step explanation:

We have,

We have Formula, Volume of Cuboid.

\( \small \sf \mapsto \: Volume = length × breadth × height\)

substitute the values

\( \small \sf \mapsto \: Volume = 1 ft × 1 ft × 2 ft\)

multiply the values

\( \small \sf \mapsto \: Volume = 2 \: ft {}^{3} \)

Hence, the volume of container is 2 ft ³.

Answer:

The correct answer would be A I believe

Answer:

It’s 14.50

Step-by-step explanation:

As the total answer with the taxes would be 190.29 so you subtract it by 175.79 to get 14.50.

option third is correct answer

In parallelogram ,opposite sides are equal.

x+3=2x-6

solve the value you will get x=9

Answer:

1/2.25

Step-by-step explanation:

let volume of P be x

Q will be 1.5x

R will be 150/100* 1.5x which is 2.25x

P/R = x/ 2.25x

= 1/2.25

Here we need to write the volume of sphere P as a fraction of the volume of sphere R.

We will get:

\(V_P = V_R/2.25\)

The given information is:

From the first statement, we can write:

\(V_Q = (1.5)*V_P\)

Where the 1.5 comes because the volume of sphere Q is 150% of the volume of sphere P.

From the second statement we can write:

\(V_R = (1.5)*V_Q\)

We can rewrite this last one as:

\(V_Q = V_R/(1.5)\)

Now we can replace this on the first equation to get:

\(V_R/(1.5) = (1.5)*V_P\\\\V_P =V_R/(1.5)^2 = V_R/2.25\)

This is the equation we wanted, the volume of sphere P as a fraction of the volume of the sphere R.

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The manager of the sport store can afford to pay $80 for each Nike baseball glove in order to have a markup of amount $50 and a 25% markup on the selling price.

$50 / 0.25 = $200

To calculate the cost of the Nike baseball gloves with a markup of 25% and a margin of $50, use the following formula:

Cost = (Price + Markup) / (1 + Markup Percentage)

Cost = ($50 + $50) / (1 + 0.25)

Cost = $100 / 1.25

Cost = $80

Therefore, the manager can afford to pay amount $80 for each baseball glove.

The manager of the sport store can afford to pay $80 for each Nike baseball glove in order to have a markup of $50 and a 25% markup on the selling price.

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Answer:

-1

Step-by-step explanation:

lx+5l -- l2wl

l2+5l -- l2x-4l

7 -- l2x-4l

7 -- 8

-1

The x-intercept is (4, 0) and y-intercept is (0, 1200) for the equation y = -300x + 1200 and graph shown below.

The data are simply presented in a structured manner in the graph. It helps us understand the data better. The mathematical data accumulated through perception is alluded to as information.

The data or information is shown in a line graph by being connected to one another by a straight line, which is a series of markers or dots.

Given equation is:  y = -300x + 1200

For y-intercept we have to put, x=0

⇒ y = 1200

For x-intercept put, y= 0

⇒ 0 = -300x +1200

⇒ x= 4

Hence, the y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 )

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The number of distinct telephone numbers possible given the restriction is 800,000.

Given that :

For the first digit, there are 8 options available (digits 0-6 and 9, excluding 7 and 8).

For the remaining five digits (second to sixth), there are 10 options available for each digit (digits 0-9).

Therefore, the total number of distinct telephone numbers possible can be calculated by multiplying the number of options for each digit:

Total number of distinct telephone numbers = 8 * 10 * 10 * 10 * 10 * 10 = 8 * 10⁵ = 800,000

Hence, there are 800,000 distinct telephone numbers possible in this country.

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Answer:

144 ft2 is the answer

Step-by-step explanation:

took the test btw so I know it

Answer:

144 ft2 is the answer

Step-by-step explanation:

test

Answer:

A and B is correct

A: 21x + 6

B: 3(7x +2)

Answer: The form of payment that Courtney can lose and not get back would be cash.

Step-by-step explanation:

The reason why cash couldn't be returned back because it doesn't have a piece of U.S money wouldn't have a specific certified owner that they can be returned to.

Other forms of payment like credit cards, debit cards, and checks have specific bank information with the card holder's name on it so if Courtney actually lost one of those, she would be most likely to receive it back without any complicated  verification process.

Therefore, Courtney would not be able to receive her cash back if she accidentally loses it. Hope this helps you with your Imagine Math homework or assignment!

-From Certified 5th Grade Honors Student

The volume of the sphere is 2308.4 mm³

From the question, we are to determine the volume of the sphere

The volume of a sphere is given by the formula

\(V=\frac{4}{3}\pi r^{3}\)

Where V is the volume

and r is the radius

From the given information,

Diameter, d, of the sphere = 16.4 mm

r = 16.4/2

r = 8.2 mm

∴ \(V=\frac{4}{3}\times 3.14 \times 8.2^{3}\)

V = 2308.394

V ≅ 2308.4 mm³

Hence, the volume of the sphere is 2308.4 mm³

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Answer:

$31.25 in tips

Step-by-step explanation:

Figure out what 25% of $125 is.

0.25 * 125

$31.25