Anthony want to have $250,000 in 8 years. If her account is paying 14% interest compounded continuously, how much should she invest in now?

Answer:

The answer is given in attached file.

Step-by-step explanation:

Here is the table of values:

Minutes   Total cost

0                 $3

1                   $3.80

2                  $4.60

3                  $5.40

The equation representing the total cost is C = $3 + $0.80tt

The total cost of using a computer is a function of the initial charge, cost per minute and total number of minutes the computer was used.

Total cost = initial charge + (cost per minute x number of minutes)

C = $3 + ($0.80 x tt)

C = $3 + $0.80tt

Total cost when the computer is used for one minute:  C = $3 +( $0.80 x 1) = $3.80

Total cost when the computer is used for two minutes:  C = $3 +( $0.80 x 2) = $4.60

Total cost when the computer is used for three minutes:  C = $3 +( $0.80 x 3) = $5.40

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The intersection between A and B gives the empty set, so we can conclude that there are no common elements between the sets A and B.

Here we only know that:

A ∩ B = ∅

First, the intersection between two sets (defined by the symbol ∩ ) is the set of all the common elements between the two sets.

In this case we can see that the intersection between A and B gives the empty set, this means that there are no common elements between the sets A and B.

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Answer:0.428

Step-by-step explanation:

The value of x in the isosceles trapezoid is 7.

An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure.

The base angles of an isosceles trapezoid are the same.

Therefore,

8x - 12 = 5x + 9

subtract 5x from both sides of the equation

8x - 12 = 5x + 9

8x - 5x - 12 = 5x - 5x + 9

3x - 12 = 9

add 12 to both sides of the equation

3x - 12 = 9

3x - 12 + 12 = 9 + 12

3x = 21

divide both sides by 3

x = 21 / 3

x = 7

Therefore, the value of x in the isosceles trapezoid is 7.

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In analog clock, The number of times in the next 12 hours the hour hand and the minute hand coincided​ is the 11 times.

According to the statement

We have to find that the number of times in the next 12 hours the hour hand and the minute hand coincided.

So, For this purpose, we know that the

An Analog Clock is a clock having the numbers 1 to 12 or equivalent Roman numerals around its face and three distinct moving hands to show seconds, minutes, and hours.

From the given information:

The time is now 9am on the analogue clock. Determine the number of times in the next 12 hours the hour hand and the minute hand coincided​

Then

we know that the

The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).

AM

12:00,1:05,2:11,3:16,4:22,5:27,6:33,7:38,8:44.

So, In analog clock, The number of times in the next 12 hours the hour hand and the minute hand coincided​ is the 11 times.

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Answer:

There are 0.13 acres per pound of seed.

Step-by-step explanation:

Give Brainliest if I helped!

The day care center with smallest child to adult ratio is Little Ones Day Care Center with the ratio 3 : 1.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

Given is a table that shows the number of adults and children in a given day care center.

The day care center with smallest child - adult ration can be found by separately finding the child - adult ratio for each center.

1 → Sunnyside Day Care Center.

The ratio of children to adult at Sunnyside Day Care Center is given by -

77/11 = 7 : 1

2 → Westside Day Care Center.

The ratio of children to adult at Westside Day Care Center is given by -

88/11 = 8 : 1

3 → Little Ones Day Care Center.

The ratio of children to adult at Little Ones Day Care Center is given by -

39/13 = 3 : 1

On comparing -

3 : 1 < 7 : 1 < 8 : 1

Hence, the day care center with smallest child to adult ratio is Little Ones Day Care Center with the ratio 3 : 1.

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The least child-adult ratio will be the division of the numbers 11 by 88. Then the least child-adult ratio will be 1/8.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Your parents have limited the field of options for your younger brother's daycare to only three facilities. They'll pick the facility with the lowest child-to-adult ratio.

Center                  Adults             Children

Sunnyside               11                       77

Westside                 11                       88

Little Ones              13                      39

The least child-adult ratio will be the division of the numbers 11 by 88. Then the ratio will be given as,

⇒ 11 / 88

⇒ 1/8

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Answer: Door 2

Step-by-step explanation:

Only one of the doors can be true. If the sign on door 2 is false, that means there is neither a lady or tiger behind the doors. That means door 1 is false. Which means the lady is not in door 1, so she must be behind door 2.

Two equal expressions combine to make an equation, where c=1.25p.

When two equal expressions are combined with the aid of the equal sign "=," an equation is created!

Considering that the farm stand charges $3.75 for 3-lb bags of oranges. As a result, the price of a pound of oranges is

A pound of oranges costs $3.75/3.

= $1.25

If the price, then, is, for p pounds of oranges,

Cost, c = Oranges' price per pound times the quantity of pounds

= $1.25 x p

c = 1.25p

Therefore, the cost pounds of oranges c-1.25p.

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Using translation concepts, the graph of f(x) is given at the end of the answer.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent absolute value function is given by:

f(x) = |x|

Which has the graph in the format of a V centered at the origin.

The translated function is given by:

g(x) = -1/2|x + 4| + 2.

The translations are as follows:

Due to the last two translations, the graph is now centered at (-4,2) and is given at the end of the answer.

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Answer:

Surface area is also 384.

Step-by-step explanation:

A = 12 × 12 + 12 × √(12/2)² + 8² + 12 × √(12/2)² + 8² = 384

Answer:

yes.

Step-by-step explanation:

The mean and the variance of the given discrete distribution are as follows:

The distribution of waiting times is missing, and is given by the image at the end of the answer.

The question is also incomplete, but it asks for the mean and the variance of the distribution.

Hence, from the distribution off the image, considering the percentages as the probabilities, the mean is given by:

E(X) = 0.0299 x 1 + 0.1026 x 2 + 0.1496 x 3 + 0.2265 x 4 + 0.1581 x 5 + 0.1368 x 6 + 0.0769 x 7 + 0.0214 x 8 + 0.0299 x 9 + 0.0299 x 10 + 0.0385 x 15 =  5.0563 minutes.

Then, considering the mean found above, and it's formula, the variance is given as follows:

V(X) = 0.0299 x (1 - 5.0563)² + 0.1026 x (2 - 5.0563)² + 0.1496 x (3 - 5.0563)² + 0.2265 x (4 - 5.0563)² + 0.1581 x (5 - 5.0563)² + 0.1368 x (6 - 5.0563)² + 0.0769 x (7 - 5.0563)² + 0.0214 x (8 - 5.0563)² + 0.0299 x (9 - 5.0563)² + 0.0299 x (10 - 5.0563)² + 0.0385 x (15 - 5.0563)² = 7.9365 minutes².

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Answer:

2x + 44 (or) 2(x + 22)

Step-by-step explanation:

Let's solve the problem,

→ 8(x + 6) - 6(x + 1) + 2

→ 8x + 48 - 6x - 6 + 2

→ 2x + 48 - 4

→ 2x + 44

Thus, the answer is 2x + 44.

Answer:

-3x+14

Step-by-step explanation:

Answer:

i'm pretty sure it's C.

Step-by-step explanation:

Using the z-distribution, the 99% confidence interval for the proportion of all adult Americans that drank coffee in the previous 24 hours is: (0.61, 0.65).

A confidence interval of proportions is given by the following rule:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

For this problem, we have a 95% confidence level, hence the [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The estimate and the sample size are given as follows:

[tex]\pi = 0.63, n = 2815[/tex]

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.63 - 1.96\sqrt{\frac{0.63(0.37)}{2815}} = 0.61[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.63 + 1.96\sqrt{\frac{0.63(0.37)}{2815}} = 0.65[/tex]

Hence the 99% confidence interval for the proportion of all adult Americans that drank coffee in the previous 24 hours is: (0.61, 0.65).

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Answer:

x| = 78.7 is satisfied by both x = 78.7 and x = -78.7.

Step-by-step explanation:

The values of trigonometric function are tanθ = -1 and cotθ = -1.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

We have been given that trigonometric function

⇒ sinθ = √2/2

⇒ cosθ = -√2/2

We have to determine the function of tanθ and cotθ

Since tanθ = sinθ/cosθ

Substitute the values of sinθ = √2/2 and cosθ = -√2/2, we get

⇒ tanθ = (√2/2)/(-√2/2)

⇒ tanθ = (√2/2)×(-2/√2)

⇒ tanθ = -1

Since cotθ = cosθ/sinθ

Substitute the values of sinθ = √2/2 and cosθ = -√2/2, we get

⇒ cotθ = (-√2/2)/(√2/2)

⇒ cotθ = (√2/2)×(-√2/2)

⇒ cotθ = -1

Therefore, the values of trigonometric function are tanθ = -1 and cotθ = -1.

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322 cans of soda were sold by the grocery store in all.\

Concept: Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.

Given: 52 cans of cherry soda, 194 cans of orange soda, and 76 cans of grape soda.

The total no. of total soda cans sold by the local grocery store is 52+194+76 = 322

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Answer: i think 16

Step-by-step explanation:

The best way to reduce the labor costs is to eliminating overtime. Thus option C is correct.

According to the statement

We have to find that the correct option.

So, For this purpose, we know that the

The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.

From the given information:

We have to find the method to reduce labor costs.

Then

Option a is not correct because Reducing food waste is not control this

and Getting produce directly from a farm is also not correct and Multiply costs by 0.30 or 30% and Using energy efficient light bulbs is a wrong option.

then

By eliminating the overtime of the labor from the labor cost we reduce the labor costs.

So, The best way to reduce the labor costs is to eliminating overtime. Thus option C is correct.

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There are 2 pigeons jumped down to the street.

Total no. of pigeons on a curb=9

No. of pigeons fly away=3

No. of pigeons stayed in the curb=4

Thus, the total number of pigeon that jumped down to the street is 9 - 3 - 4 = 2

This exemplifies the pigeonhole principle, which asserts that if there are more pigeons than there are pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. II) We can state that at least one box contains two or more objects if n + 1 things are placed within n boxes.

Hence, there are 2 pigeons jumped down to the street.

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There are 2 pigeons jumped down to the street.

Total no. of pigeons on a curb=9

No. of pigeons fly away=3

No. of pigeons stayed in the curb=4

Thus, the total number of pigeon that jumped down to the street is 9 - 3 - 4 = 2

This exemplifies the pigeonhole principle, which asserts that if there are more pigeons than there are pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. II) We can state that at least one box contains two or more objects if n + 1 things are placed within n boxes.

Hence, there are 2 pigeons jumped down to the street.

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Account balance of Ginny after withdrawal = $ 20 .

Given : Ginny's account balance before withdrawal ie . $ 40

            Her withdrawal amount ie . $ 20

To find : account balance after withdrawal

Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .

After withdrawal ( taking out ) of $ 20 ,

Ginny has 40 - 20 = $ 20 left .

After adjustment , final amount = $ 20 .

Therefore , account balance of Ginny after withdrawal = $ 20 .

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The rate of customers entering the store in 1 minute is 2.5 customers per minute.

So, the ratio is 10 : 4.

Now,

Divide both sides by 4 as follows:

Therefore, the rate of customers entering the store in 1 minute is 2.5 customers per minute.

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