The Empire State building is 1250 feet tall maria wants to make a model that has a scale of 1/4 foot equals 50 feet how tall with her model B

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.

To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.

Let's assume the maximum price you can offer for the home is P dollars.

According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:

\(0.17P = $14,000\)

To solve for P, divide both sides of the equation by 0.17:

P = $14,000 / 0.17

Calculating this expression, we find:

P ≈ $82,352.94

Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.

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Answer: 0.75km per hour or 3/4km per hour.

Step-by-step explanation: 1/4 / 1/3 = 3/4.

We need to find the unit rate, that is kilometer per hour

The unit rate is 3/4 km/hr

kilometer, km

Hour, hr

unit rate

\( = \frac{number \: of \: kilometer}{number \: of \: hours} \)

\( = \frac{1 \div 4}{1 \div 3} \)

\( = 1 \div 4 \times 3 \div 1\)

= 3/4 km/hr

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Answer:

What do you mean

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

it is not going in any general direction

Answer:

B

Step-by-step explanation:

Answer:

x+8

Step-by-step explanation:

"a number" is x? And it is added to 8.

The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.

The mean refers to the average value.

The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.

Name                      Total Sales      Total Expenses

Quezon City            14,950.00             4,933.50

Caloocan City         18,290.00             6,035.70

Marikina City          37,200.00           12,276.00

Cebu City                18,900.00            6,237.00

Davao City             45,000.00          14,850.00

Mandaluyong City 23,000.00           7,590.00

Cavite                     22,000.00          7,260.00

Laguna                    21,000.00          6,930.00

Manila                    66,000.00         21,780.00

Iloilo                       34,000.00          11,220.00

Total                                                  99,112.20

Mean Expenses = 9,911.22 (99,112.20 ÷ 10)

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Answer:

Step-by-step explanation:

Vertex-form equation for vertical parabola:

 y = a(x-h)² + k

with

 vertex (h,k)

 axis of symmetry: x = h

Apply your equation

y = 3x² + 18

vertex (0,18)

axis of symmetry: x = 0

A confidence interval that will capture the true population mean with 95% confidence. The value is ( 23.6459    , 24.8293 ) .

What is population mean?

A population in statistics is a group of comparable objects or occurrences that are relevant to a particular topic or experiment. A statistical population can be a collection of real things or a hypothetical, possibly limitless collection of objects derived from experience.

Data: 18

for given data

\($$\begin{aligned}\bar{X} & =\frac{\sum X i}{n} \\& =2448 / 101 \\& =24.2376\end{aligned}$$\)

as population variance is unknown so we used sample variance

\($$\begin{aligned}S^2 & =\frac{1}{n-1}\left(\sum X i^2-n \times \bar{X}^2\right) \\S^2 & =\frac{1}{100}\left(60232-101 \times 24.2376^2\right) \\& =8.9830\end{aligned}$$\)

Now

\(\frac{\bar{X}-\mu}{S / \sqrt{n}} \sim t_{n-1}$$\)

hence 95 % of population mean is

As n=101 which is large so critical value is 1.98397

\($$\begin{aligned}& =\left(\bar{X}-\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}, \bar{X}+\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}\right) \\& =\left(24.2376-\sqrt{\frac{8.9830}{101}} \times 1.98397,24.2376+\sqrt{\frac{8.9830}{101}} \times 1.98397\right) \\& =(23.6459,24.8293)\end{aligned}$$\)

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The distribution function of a discrete random variable X is defined as F(x) = P(X ≤ x). To find the distribution function of X, we can sum up the probabilities for all values of X that are less than or equal to the value we are interested in.

For example, to find F(1), we would sum up the probabilities for X = 0, X = 1:

F(1) = P(X = 0) + P(X = 1) = 0.50 + 0.30 = 0.80

Similarly, we can find the distribution function for other values of X:

F(2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.50 + 0.30 + 0.12 = 0.92

F(3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.50 + 0.30 + 0.12 + 0.07 = 0.99

F(4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.50 + 0.30 + 0.12 + 0.07 + 0.01 = 1.00

The expected value (mean) of X, denoted as E[X], is calculated as the sum of all possible values of X multiplied by their corresponding probabilities:

E[X] = 0 × 0.50 + 1 × 0.30 + 2 × 0.12 + 3 × 0.07 + 4 × 0.01 = 0.50 + 0.30 + 0.24 + 0.21 + 0.04 = 1.29

The variance of X, denoted as Var[X], is calculated as the sum of the squares of the difference between each possible value of X and the expected value, multiplied by their corresponding probabilities:

Var[X] = (0 - 1.29)^2 × 0.50 + (1 - 1.29)^2 × 0.30 + (2 - 1.29)^2 × 0.12 + (3 - 1.29)^2 × 0.07 + (4 - 1.29)^2 × 0.01

= 1.69 × 0.50 + 0.41 × 0.30 + 0.49 × 0.12 + 1.69 × 0.07 + 3.61 × 0.01

= 0.85 + 0.123 + 0.059 + 0.118 + 0.361 = 1.71

The mode of X is the value that occurs most frequently in the distribution. In this case, the mode of X is 1, as it has the highest probability (0.30).

As for the number of telephone switching exchanges that the call has to pass through, denoted as Y, we cannot determine its distribution without more information. The distribution of Y is not given in the problem, so we cannot compute the expected value, variance and mode.

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Answer:

-4

Step-by-step explanation:

Let say other number is 'x'

Equation:-

4(2 + x) = -8

8 + 4x = -8

4x = - 16

x = - 16/4

x = - 4

The weighted average price index is 171, which means that the average price of the components in Year 2 was 171% of their average price in Year 1.

To compute the weighted average of relatives, we need to find the weighted average of the ratio of the prices of each component in Year 2 to Year 1. Let's call this ratio the "relative price".

Relative price for component A = Po Year 2 / Po Year 1 = 6.00 / 3.00 = 2.00

Relative price for component B = Pn Year 2 / Pn Year 1 = 8.50 / 6.80 = 1.25

Relative price for component C = Pn Year 2 / Po Year 1 = 17.68 / 20.80 = 0.85

Next, we'll find the weighted average of the relatives by summing the product of each relative price and its corresponding standard weight, and dividing by the sum of the standard weights.

Weighted average of relatives = (2.00 * 16 + 1.25 * 6 + 0.85 * 2) / (16 + 6 + 2)

= (32 + 7.5 + 1.7) / 24

= 41.2 / 24

= 1.71

The weighted average of relatives is 1.71, which means that the average price of the components increased by 71% from Year 1 to Year 2.

To compute the weighted average price index, we'll use the weighted average of relatives as a reference point and multiply it by 100.

Weighted average price index = Weighted average of relatives * 100

= 1.71 * 100

= 171

Therefore the weighted average price index is 171, which means that the average price of the components in Year 2 was 171% of their average price in Year 1.

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Answer:

17

Step-by-step explanation:

Do the exponent first, then subratct it to 81

Answer:

thats easy 17

Step-by-step explanation:

Answer:

6 hours 30 minutes

Step-by-step explanation:

Answer:

Draw two circles, fill them in, then another circle split into 5 parts, and fill in 4 of the parts

Step-by-step explanation:))))

Answer:

see the attachment photo!

So the value of X is 2.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

\(x = 2\)

First answer is correct

Step-by-step explanation:

\(9 = 1 + 8x - 8 \\ 9 - 1 + 8 = 8x \\ 16 = 8x \\ \frac{16}{8} = \frac{8x}{8} \\ x = 2\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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Answer:

1/10

Step-by-step explanation:

we have that

Answer:

796871

Step-by-step explanation:

Based on the given conditions, formulate:

5000 x (1 - (1 + 10%) 10)

-------------------------------                                                                  

           1 - (1 + 10%)                                                                          

Evaluate the equation/expression:

796871.23005

Find the closest integer to

798871.23005

=  796871

The percentage that can be filled with $3 in 1990 is: 29.41%

To calculate percentage growth rate:

Beginning:

Calculate the difference (increase) between the two numbers you are comparing. after that:

Divide the increment by the original number and multiply the result by 100. Growth rate = increment / original number * 100.  

We are told that it cost $3 to fill a gas tank as at 1970.

Now, there was a percentage price increase of (78.8 - 23.1)% = 55.2% from 1970 to 1990. Thus:

Cost of a gallon in 1970 = $0.36

Thus, number of gallons bought with $3 = 3/0.36 = 8.33 gallons at full tank

Now, in 1990, the cost is $1.23 and as such:

Quantity that can be bought = 3/1.23 = 2.45 gallons

Percentage of tank filled = 2.45/8.33 * 100% = 29.41%

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Answer:

A. -4

C. 3

Step-by-step explanation:

x² + x - 12 =0

-12 = 4*(-3) and 4+(-3) =1

(x+4)(x-3)=0

x = - 4, x = 3

The cups of giardia-laced lemonade that Wiyot will have sold by the time his parents get a call from county health officials on day 8 is 75 cups.

From the information, Wiyot sells 33 lemonades on the first day, and 6 additional lemonades each day as the summer heats up.

This is an arithmetic sequence and will be expressed as:

= a + (n - 1)d

a = first term = 33

d = common difference = 6

n = 8

This will be:

= a + (n - 1)d

= 33 + (8 - 1)6

= 33 + (7 × 6)

= 33 + 42

= 75

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Answer:

x = 5 is a vertical line at x = 5

By performing the division, the jogging track is 0.45 miles long.

Division is a mathematical operation that involves the splitting of a quantity into equal parts or groups.

The problem asks us to convert a length of 792 yards to miles. To do this, we need to use a conversion factor to relate yards to miles. We know that there are 1760 yards in a mile, so we can use this relationship to convert the length in yards to miles.

To convert yards to miles, we divide the length in yards by the number of yards in a mile. This is because we want to cancel out the units of yards and be left with the corresponding number of miles.

So, 792 yards / 1760 yards/mile gives us the length of the jogging track in miles. We can simplify this expression by performing the division to get the result of 0.45 miles. Therefore, the jogging track is 0.45 miles long.

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Answer:

(7,5) not solution for 2x+y

Step-by-step explanation:

2(7) + 5 =19 which is not 5,

possible answer for X/Y

(0,5)

(7,-9)