Barb has a jewelry box in the shape of a rectangular pyramid. The top opens at a cross section parallel to the base

17722.5 is the cost of the monthly rent for a two bedroom apartment in 30 years

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The current rent of two  bedroom apartment is $850.

The annual inflation rate of 10%.

The time is 30 years

[tex]A=Pe^{rt}[/tex]

P=850

r=10%=10/100=0.1

t=30 years

Plug in these values in formula

A=850[tex]A=850e^{(0.1)(30)}[/tex]

[tex]A=850e^{3[/tex]

A=850(20.85)

A=17722.5

Hence, 17722.5 is the cost of the monthly rent for a two bedroom apartment in 30 years

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John Rey invested $1000 in the first account at 9% interest and $3100 in the second account at 7% interest .

Let he invested x in the first account at 9%.

Interest = Principal × rate × time

Here rate = 0.09 and time = 1 year

Interest earned = 0.09x

Amount invested at 7% = $(4100-x)

rate = 0.07 and time = 1 year

Interest earned = 0.07(4100-x)

Total interest earned is $307

Hence : 0.09x + 287 - 0.07x = 307

or, 0.02x = 20

or, x = 1000

Amount invested at 7% = $(4100 - 1000) = $3100

Therefore John Rey invested $1000 in the first account at 9% interest and $3100 in the second account at 7% interest .

Calculating the amount of interest that will be owed on a sum of money at a certain rate and for a specific period of time is possible using simple interest.

Simple interest does not change the principal amount in the same way as compound interest, which adds the interest of one year's principal to the next year's principal to calculate interest.

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For the points A(-2,-3), B(0,5), C(2,5), D(4,9) and E(6,13) the slope of the line is 2.

Slope is a notation that shows that a surface of which one end or side is at a higher level than another surface.

y - y₁ = m(x - x₁)

In the given table, the points are,

A(-2,-3), B(0,5), C(2,5), D(4,9) and E(6,13)

To find the slope of a line which passes through the given points,

The slope of the line will always the same for any pair of points,

So slope of line having points (-2,-3) and (0,1)

Use slope formula = (y₂-y₁)/(x₂-x₁)

slope = (1-(-3))/0-(-2)

          = 1+3/2

          = 2

The slope of the line is 2.

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Answer:

(√9)³× (√30)²=810

Step-by-step explanation:

Lets first solve (√9)³

√9=3

3^3=27

(√9)³=27

In (√30)², the "²" and the "√" cancel out resulting in 30.

(√30)²=30

So (√9)³× (√30)² can be simplified into 27 x 30

Simplify:

27x30

10(27x3)

10(81)

810

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

y = 1/4x + 1 is parallel to line a

-4x + y = -8 is neither parallel nor perpendicular to line a

4x + y = -3 is perpendicular to line a

From the question, we are to determine how the given equations compare to line a.

From the given information,

Line a is -x + 4y = 32

First, we will determine the slope of line a

To do this, we will compare the equation to the slope-intercept form of a line

The slope-intercept form of a line is

y = mx + b
Where m is the slope

and b is the y-intercept

Writing -x + 4y = 32 in the slope-intercept form

-x + 4y = 32

4y = x + 32

Divide through by

y = 1/4 x + 8

By comparison, the slope of line a is 1/4

NOTE: If two lines are parallel, their slopes will be equal

and

If two lines are perpendicular, their slopes will be the negative reciprocal of each other

Now, we will determine the slopes of each of the lines

For y = 1/4x + 1

By comparing with the slope-intercept form of a line, y = mx + b

The slope of the line is 1/4

Thus, the line is parallel to line a

For -4x+y=-8

Rewrite in the slope-intercept form of a line

-4x + y = -8

y = 4x - 8

By comparing with the slope-intercept form of a line, y = mx + b

The slope of the line is 4

4 is not equal to 1/4 and 4 is not the negative reciprocal of 1/4.

Thus, the line is neither parallel nor perpendicular to line a.

For 4x+y=-3

Rewrite in the slope-intercept form of a line

4x + y = -3

y = -4x - 3

By comparing with the slope-intercept of a line, y = mx + b

The slope of the line is -4

-4 is the negative reciprocal of 1/4.

Thus, the line is perpendicular to line a.

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Answer:

2p+32

Step-by-step explanation:

8(p+4)-6p

8(p)+8(4)-6p

8p+32-6p

8p-6p+32

2p+32

Hopes this helps please mark brainliest

The 0.39 dollar would have to present in order to obtain a probability of 0.500.

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}. We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

Using the sample size relation with the standard normal distribution, the required sample size is 64  samples.

σ = $80 and n = 64

n = [(Z × σ) / ME]²

ME = margin of error

Z = 0.500

Now Substituting the values into the equation :

n = [(Z × σ) / ME]²

n = [(0.500 × 80 ) / 64]²

n = (40/ 64)²

n = 0.625²

n = 0.39

Therefore, the 0.39 dollar would have to present in order to obtain a probability of 0.500.

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Answer:

[tex](1,0)[/tex]

Step-by-step explanation:

This is where the function changes from decreasing to increasing.

The value of the equation 2A - 4B from the given matrices is  [tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex] , the correct option is (c) .

In the question ,

it is given that ,

the matrix A is A = [tex]\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

and the matrix B is B = [tex]\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

we need to find the value of the equation  2A - 4B ,

Step 1: multiplying the matrix A with 2 ,

we get ,

2A = [tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]

Step 2 : multiplying the matrix B with 4 ,

we get ,

4B = [tex]\left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]

So , the equation is represented as

2A - 4B = [tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}-2-28&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]

After  further simplification ,

we get ,

= [tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]

Therefore , The value of the equation 2A - 4B from the given matrices is  [tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex] , the correct option is (c) .

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Answer:

D. The sum of the angles is 90°.

Step-by-step explanation:

The definition of complementary angles is that their measures add to 90°.

Answer:

it is a linear function

f(x)=4x-4

Step-by-step explanation:

to find slope we use y2-y1/x2-x1

0-(-4)/1-0

4/1

4 is the slope y=mx+b is the slope intercept where m is the slope and b is the y intercept so to find intercept we look for what y equals when x is 0

when x is 0 y is -4 so the is the y intercept and we enter it into equation

y=4x-4

hopes this helps please mark brainliest

With an APR of 11.5%, Teagan decides to finance the generator for 24 months. 1.29% is Teagan's Rate.

In its most basic form, interest is computed as a percentage of the principle. The interest you would pay, for instance, would only be 5% of $100 if you borrowed $100 from a friend and agreed to reimburse it with 5% interest: $100(0.05) = $5.

An expense associated with borrowing money or other assets is interest. The principal, which represents the amount borrowed, is what's referred to as interest, which is calculated as a percentage of the principal over a specified period of time.

The interest rate for the loan is denoted by this proportion. When you place money in a high-yield savings account, for instance, a bank will give you interest.

= 11.5 x 1/100 = 0.155

= 0.155 ÷ 12 = 0.01291

= 1.29% Rate

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Answer:

Step-by-step explanation:

The equation of line M that is parallel to line K is: x = -5.

A vertical line has a slope that is undefined. Therefore, it has no slope, hence, the equation of the line is expressed as x = b, where b is the point on the x-axis where the line intercepts.

Since line K and line M are parallel to each other, their slope will be the same. Line K has an undefined slope, so also will the slope of line M be undefined. This means line M is a vertical line.

Given that line M passes through (-5, 6), b = -5. To write the equation of the line M, substitute b = -5 into x = b:

x = -5.

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Answer:

where are the numbers?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: [tex]m\angle DE F=90^{\circ}[/tex]

Step-by-step explanation:

The slope of [tex]DE[/tex] is [tex]\frac{7-3}{5-4}=4[/tex].

The slope of [tex]EF[/tex] is [tex]\frac{3-2}{4-8}=-\frac{1}{4}[/tex].

Thus, [tex]DE \perp EF[/tex], meaning [tex]m\angle DE F=90^{\circ}[/tex].

Answer:

The order of the answers provided are in the order of the photos uploaded in the question :)

Step-by-step explanation:

To find the perimeter we have to add the lengths of all the sides together

To find the area we have to subtract the area of the gaps by the area of the whole shape if it were to be a rectangle or square

1)

2)

3)

4)

5)

Hope this helps, have a great day!!

Graph (a) represent the equation x+2y=4, and it is a function.

A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

To determine the function, solve with the help of option,

(A) The graph define the equation of line x+2y = 4

For any value of x, y gives a unique value,

This satisfies the definition of function,

Therefore, graph (A) is a function.

(B)

The graph defines the function x = |y-2|

For one value of x, y has two values,

Thus, values of y are not unique.

(C)

The graph defines the equation of circle x²+y² = 1

For one value of x, y has two values,

Thus, values of y are not unique.

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A) Probability that the dart lands on $5 = 9/16

B) Probability that the dart lands on $30= 1/4

C) Probability that the dart lands on $50 = 1/8

D)  Probability that the dart lands on $100 = 1/16

E) The expected payoff for throwing a dart = $100

What is probability?
The estimation of the probability that experiments will take place is one use of probability theory. We can calculate anything using a probability, such as the likelihood of making a research error or the probability of getting heads or tails when flipping a coin. This branch of mathematics requires a thorough understanding of the formula for computing probabilities in equiprobable sample spaces, the probability of the complementary event, etc., as well as the likelihood of two events joining together.

Let the area of the board will = 1

Area of $5 = 1/2+1/16 = 9/16

Area of $30 = 1/4

Area of $50 = 1/8

Area of the $100 = 1/16

Probability of the dart land on $5 = 9/16

Probability of the dart land on $30 = 1/4

Probability of the dart land on $50 = 1/8

Probability of the dart land on $100 = 1/16

The expected payoff for throwing a dart = $100

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Answer:

17 and -7

Step-by-step explanation:

5 - 17 is -12.

5 - (-7) is 12.

Since we are looking at the absolute value, the sign doesn't matter.

Step-by-step explanation:

r=17

pi=22/7

22/7×14×2

22×2×2=88

so i cancelled out 7 cuz 7×2 is 14 and so i made 14 as 2

Answer: 4.3 meters

Step-by-step explanation:

Let the angle opposite the 3-meter side be [tex]\alpha[/tex].

Using the Law of Sines,

[tex]\frac{\sin \alpha}{3}=\frac{\sin 25^{\circ}}{2}\\\\\sin \alpha=1.5 \sin 25^{\circ}\\\\\alpha=\arcsin(1.5 \sin 25^{\circ})[/tex]

Using the sum of the angles in a triangle, the angle opposite the side [tex]\ell[/tex] is [tex]155^{\circ}-\arcsin(1.5 \sin 25^{\circ})[/tex].

Using the Law of Sines,

[tex]\frac{\ell}{\sin(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})}=\frac{2}{\sin 25^{\circ}}\\\\\ell =\frac{2\sin(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})}{\sin 25^{\circ}}\\\\\ell \approx 4.3[/tex]

Answer:  The correct answer is 4.3

Step-by-step explanation:

This is an Obtuse Scalene Triangle

Side a = 2

Side b = 3

Side c = 4.26571

Angle ∠A = 25°

Angle ∠B = 39.34°

Angle ∠C = 115.66°

Area = 2.70415

Perimeter p = 9.26571

Semiperimeter s = 4.63285

Calculate c, ∠B, and ∠C based on given a, b, and ∠A.

∠B = arcsin(b·sin(A)/a)

= 0.68662 rad = 39.34°

∠C = 180° - A - B = 2.01864 rad = 115.66°

c = a·sin(C)/sin(A) = 4.26571 = 4.3

The total number of coins is 35

From the question, we have the following parameters that can be used in our computation:

Number of coins in the box = 7

Proportion of coins in the box = 20%

These parameters mean that

Number of coins in the box = Proportion of coins in the box * Total number of coins

Substitute the known values in the above equation, so, we have the following representation

7 = 20% * Total number of coins

Divide both sides by 18%

Total number of coins = 35

Hence, the total number of coins is 35

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The linear function that represents the situation is y = 1/13x + 3229

Linear function:

The general form of the linear function can be written as,

y = mx + c

where

m refers the slope of the function

c refers the y intercept of the function

Given,

Here we have the table of values.

Now, we have to find the linear equation for this table and we have also need to find the value of C(0).

In order to calculate the linear function of the table, we need the slope and intercept of the given table,

In order to find that, we need a point values.

The point values are obtained from the given table as,

=> (8, 249) and (13, 314)

Now, the slope is calculated as,

=> m = (13 - 8) / (314 - 249)

=> m = 5 / 65

=> m = 1/13

Now, the intercept is calculated as,

=> 249 = 1/13 (8) + c

=> 3337 = 8 + c

=> c = 3229.

Therefore, the linear function of the table is y = 1/13x + 3229.

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The average speed 70 miles/hour, Dee needs to cover the remaining distance in 6 hours.

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

Total distance of trip = 1020 miles

Average speed of Lila = 68 mph

And time taken by Lila for driving = 5 hours

Distance covered by Lila = 68×5 = 340 miles

Average speed of Mary - 65 mph

And time taken by Mary for driving = 4 hours

Distance covered by Mary = 65×4 = 260 miles

Distance covered by Lila and Mary = 340+260 = 600

Remaining distance = 1020-600 = 420

Dee covers 420 miles distance in 6 hours,

Speed of Dee= 420/6 = 70 miles/hour.

The average speed of Dee is 70 miles/hour.

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The two values with the same value as 18 ones and 302 thousandths, given their place values, are:

Place value describes the position or place of a digit in a number, which determines its numerical value.

Place values form the basis of the number system because the position occupied by a digit in a number shows its value.

The place values on the left of the decimal point include Billions, Hundred Millions, Ten Millions, Millions, Hundred Thousands, Ten Thousands, Thousands, Hundreds, Tens, and Ones.

After the decimal point, on the right, the place values include tenths, hundredths, and thousandths.

18 ones and 302 thousandths

= 1 ten + 8 ones + 3 tenths + 2 thousands

= (1 x 10) + (8 x 1) + (3 x 1/10) + (2 x 1/1,000)

Thus, 18 ones and 302 thousandths share the same place values as Options B and D.

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