Nicole opens a savings account with an initial deposit of $5,000. since then, she has never made any other deposits or withdrawals. her savings account earns 4℅ intrest compounded monthly. which equation gives the approximate amount, A(x), she has in her savings account as a function of x, the number of years since her initial deposit?

1. A(x)= 5,000^(0.96x)

2. A(x)= 5,000(0.959)^x

3. A(x)= 5,000 + 0.04x

4. A(x)= 5,000^(1.04x)

5. A(x)= 5,000(1.041)^x​

____________________________________________________

Answer:

Your answer would be $255

____________________________________________________

Step-by-step explanation:

To solve these kind of problems, what we have to do is find how much of 340 is 25%, and then subtract that number to the original price.

Let's give you some important information in the text:

With the information above, we can solve our problem.

First, we would need to find how much of 340 is 25%, and to do that, we would multiply 340 by 0.25:

[tex]340*0.25 = 85[/tex]

When you solve, you should get 85. But, you're not done yet, we need to find out how much the sales price is, not how much of it is discounted.

In order to find the sales price, we would get our original number (the number it originally cost), and subtract it with the amount of money it's removing (85).

In this case, we would subtract 340 by 85.

[tex]340-85=255[/tex]

Your FINAL answer should be 255

The sales price of the laptop would be $255.

____________________________________________________

Answer:

750 ft^3

Step-by-step explanation:

Given that the cones are similar, the first step would be to determine their linear scale factor; That is the ratio of their radii;

[tex]\frac{RadiusB}{RadiusA}=\frac{30}{12}=2.5[/tex]

The next step is to determine the volume scale factors. Since the linear scale factor is 2.5, the volume scale factor would be;

volume scale factor = (linear scale factor)^3

                                 = 2.5^3 = 125/8

The volume of Cone B will thus be;

volume of Cone A * volume scale factor = 48 * 125/8 = 750 ft^3

Answer:

57.2 minutes

Step-by-step explanation:

One way in which to solve this problem is to write and solve an equation of ratios:

 6.5 mi        x

------------ = -----------

 10 mi        88 min

Cross-multiplying, we get:

10x = 572

Then x = 57.2 minutes (to run this 6.5 mile race)

Answer:

The distance between the two airplanes (to the nearest mile) is 1058 miles.

Step-by-step explanation:

An airplane A is at a location 800 miles due west of city X. So AX = 800 miles.

Another airplane is at a distance of 1,200 miles southwest of city X. So BX = 1200 miles.

The angle at city X created by the paths of the two planes moving away from city X measures 60°. So angle ∠AXB = 60°.

In triangle ΔAXB, AX = 800 miles, BX = 1200 miles, ∠AXB = 60°.

Using law of cosines:-

AB² = AX² + BX² - 2 * AX * BX * cos(∠AXB).

AB² = 800² + 1200² - 2 * 800 * 1200 * cos(60°).

AB² = 640000 + 1440000 - 2 * 960000 * 1/2

AB² = 2080000 - 960000

AB² = 1120000

AB = √(1120000) = 1058.300524

Hence, the distance between the two airplanes (to the nearest mile) is 1058 miles.

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Answer:-Steps-

1.)Divide 18 by 2

(18/2=9)

2.)Divide 24 by 2

(24/2=12)

3.)Multiply 18 and 3

(18 x 3 = 54)

4.)Multiply 24 and 3

(24 x 3 = 72)

5.) Now multiply 54 and 72

(54 x 72 = 3888)

The answer is 3888 feet or 118056 centimeters.

Step-by-step explanation:

The actual area of the playground is determined by converting the scale drawing dimensions to real-life measurements using the provided scale, resulting in a playground area of 972 square feet.

Justin has created a scale drawing of a playground using the scale 2 inches: 3 feet. To find the actual area of the playground, we first convert the dimensions of the drawing to real-life dimensions. The scale factor is found by dividing the scale's drawing unit by the real unit. This gives us a factor of 1 inch being equivalent to 1.5 feet since 2 inches represent 3 feet (2 inches / 3 feet = 1 inch / 1.5 feet).

The drawing dimensions are 18 inches by 24 inches. We multiply each dimension by our conversion factor (1.5 feet per inch) to get the real-life measurements:

To find the actual area, we multiply the length by the width:

Area = length * width = 27 feet * 36 feet = 972 square feet

The actual area of the playground is 972 square feet.

Answer:

x = 44.9

Step-by-step explanation:

This equation shown falls in the formula for z score:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where [tex]\mu[/tex] = 62

[tex]\sigma[/tex] = 5.7

ans z = -3

So, which value corresponds to a z-score of -3???

we cross multiply and do algebra to solve for x:

[tex]-3=\frac{x-62}{5.7}\\-3*5.7=x-62\\-17.1=x-62\\-17.1+62=x\\44.9=x[/tex]

Answer:

2/f is the correct answer.

The value of f^-1(2) refers to the value of x in the original function f(x) that corresponds to f(x) = 2. Essentially, it is asking what value of x, when substituted into the original function, would provide an answer of 2.

The value of f^-1(2) is the pre-image, or the value of the variable x in the original function f(x), that corresponds to f(x) = 2 in the original function. An inverse function undoes the operation of the original function. For instance, if you have a function f(x) = y, the inverse function, denoted f^-1, would give you back x when you input y. Therefore, f^-1(2) asks for the value of x that would result in f(x) = 2 in the original function.

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The answer is 74 square units so B

Hope this helps you

Have a great day

☆ Dont forget to mark brainliest ☆

Answer:

EBCD=55.5 square units

Step-by-step explanation:

Since EBCD is a trapezoid you would plug in the lengths of the sides into the formula. First I will give you the side lengths.

BC=√37

EB=√37

CD=√74

ED=2√37

To solve for the area of EBCD we have to plug the numbers into the trapezoid formula 2√37+√37 divided by 2 times √37 =111/2 which that equals 55.5 square units.

I also know this is correct because I just took the assignment myself.

Answer:

B. 84%

Step-by-step explanation:

Given

Mean= π=75

Standard Deviation= σ=5

As we have to calculate the percentage of score less than 80, we will find the z-score of 80

z=(x-μ)/σ

=  (80-75)/5

=5/5

=1

The z-score table value for 1 is 0.8413.

For converting this value into percentage, the value will be multiplied by 100.

So,

Percentage of students whose score is less than 80 = 0.8413*100

=84.13%

Rounding off gives us : 84%

So option B is the correct answer..

For example a square base pyramid has a square base so you can visualise the cross sections easily. Another example is a triangular prism, you can visualise the sections

Hope this helps kind off :)

Answer:

If you have a pyramid, you know the it's made of a triangle. If you have a prism with the name beginning with square base, then you know it's going to start with a square.

Step-by-step explanation:

45 - 18 = 27

About 27 mintues

Given that you and the chess teacher have been playing the game for 18 minutes and you need to win the game in less than 45 minutes, you need to subtract the time you have already spent playing from the total time allowed. So, 45 minutes (total time) - 18 minutes (time spent) = 27 minutes. You have 27 minutes left to win the chess game and enter the chess club.

The question is asking how much time you have left to win the chess game in order to make it into the chess club, given that you and the chess teacher have been playing the game for 18 minutes, and you need to win the game in less than 45 minutes. This translates to a mathematical problem of subtraction.

To find out how much time you have left, subtract the time you have already spent playing from the total time allowed. This would be 45 minutes (total time) - 18 minutes (time spent).

So, 45 minutes - 18 minutes = 27 minutes

.

You have 27 minutes to win the chess game and enter the chess club.

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Answer:

tan T = 3/4

tan U = 4/3

Step-by-step explanation:

The tangent ratio is opposite / adjacent. The ratio will vary for each angle since the perspective of each angle will be different. For example Angle T has an adjacent side of 4 while Angle U has an adjacent side of 3. The tangent ratios for Angles U and T are listed below:

tan T = 3/4

tan U = 4/3

Answer:

Step-by-step explanation:

tan(T) = 3/4

tan(U) = 4/3

tan(V) = 5/4

Answer:

y = 48/x

Step-by-step explanation:

"Inverse variation" means y is proportional to the inverse of x. If the constant of proportionality is represented by k, then ...

y = k/x

Multiplying by x, we find k to be ...

xy = k

So, the given values tell us k is ...

8·6 = k = 48

and the desired equation is ...

y = 48/x

Answer:

i think y = 48/x

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]Q1:\\8-5(3x-7)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=8-(5)(3x)+(-5)(-7)=8-15x+35=-15x+(8+35)\\=\boxed{-15x+43}[/tex]

[tex]Q2:\\6(2x+3)-4(5x+2)\qquad\text{use the distributive property}\\\\=(6)(2x)+(6)(3)+(-4)(5x)+(-4)(2)=12x+18-20x-8\\\\\text{combine like terms}\\\\=(12x-20x)+(18-8)=\boxed{-8x+10}[/tex]

[tex]Q3.\\4(x+5)+4x+8\qquad\text{use the distributive property}\\\\=(4)(x)+(4)(5)+4x+8=4x+20+4x+8\\\\\text{combine like terms}\\\\=(4x+4x)+(20+8)=\boxed{8x+28}=(4)(2x)+(4)(7)=\boxed{4(2x+7)}[/tex]

Answer:

the best answer would be C

Answer:

D

Step-by-step explanation:

B negative linear association

The order from least to greatest would be first 210%, 43/20, then 2.2222

To order the numbers, they were first converted to decimals: 210% to 2.10, 43/20 to 2.15, and 2.2 (repeating) is slightly more than 2.2. Placing these in order yields: 2.10, 2.15, 2.2 (which includes 2.2 repeating).

To order the given numbers from least to greatest, we first need to convert all of them to the same format. We have one in percentage (210%), two decimals (2.2 and 2.2 repeating), and a fraction (43/20).

Now we can easily compare these numbers:

As 2.2 (repeating) is marginally larger than 2.2 but essentially they can be considered as equal for comparison. Hence, the ordered list from least to greatest is: 2.10, 2.15, 2.2 (or 2.2 repeating).

Answer: 8/27

(2/3)^3

2^3/3^3

= 8/27; alternative form: 0.29

For this case we must find the value of the following expression:[tex](\frac {2} {3}) ^ 3 =[/tex]

Then, rewriting the expression:

[tex]\frac {2 ^ 3} {3 ^ 3} = \frac {2 * 2 * 2} {3 * 3 * 3} = \frac {8} {27}[/tex]

Simplifying the expression in decimal form we have:

[tex]\frac {8} {27} = 0.2963[/tex]

Answer:

[tex]\frac {8} {27} = 0.2963[/tex]

582 is your answer and i already checked i hope you get it right :)

Answer: B: 582 ft2

Step-by-step explanation:  9*15= 135+36= 171 ft for the face. 171*2= 342 ft for front and back. 342+2*(15*4)=462+(6*4)=486........ and so on with all the sides.

Answer:

the volume of the larger pyramid = 175.5 inches³

Step-by-step explanation:

* Lets revise the similar

- If two solids are similar,then the ratio between each two

 corresponding dimensions are qual

- Their perimeters have the same ratio

- Their areas have the square of the equal ratio

- Their volumes have the cube of the equal ratio

* Lets solve the problem

- The two triangular pyramids are similar

- The perimeter of the base of the small one = 14 inches

- The perimeter of the base of the big one = 21 inches

∴ The ratio of the similarity = 14/21 = 2/3

∴ The ratio between their volumes is (2/3)³ = 8/27

∵ The volume of the small one = 52 inches³

- W will us the cub of the ratio to find the larger volume

∴ 52/V = 8/27 ⇒ by using the cross multiplication

∴ 52 × 27 = 8 × V

∴ 1404 = 8V ⇒ divide both sides by 8

∴ V = 175.5 inches³

Answer:

175.5 on edge

Step-by-step explanation:

hope it helps

Answer

The missing value is 22

step-by-step explanation

The slope formula is

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

From the question,

m=5

[tex]x_2=-4[/tex]

[tex]y_2=2[/tex]

and

[tex]x_1=0[/tex]

We substitute these values to get,

[tex]5= \frac{2 - y_1}{ - 4- 0} [/tex]

Simplify

[tex]5= \frac{2 - y_1}{ - 4} [/tex]

[tex]5 \times - 4=2 - y_1[/tex]

[tex] - 20=2 - y_1[/tex]

[tex] - 20 - 2=- y_1[/tex]

[tex]22= y_1[/tex]

[tex] y_1 = 22[/tex]

The missing value is 22

Answer:

15/28

Step-by-step explanation:

2/7 plus 1/4 plus 26 is 15/28

Answer:

Total number of eggs in basket = 56

Step-by-step explanation:

Let z be the total number of eggs

Green eggs = [tex]\frac{2}{7}[/tex] × z   ........1

Blue eggs =  [tex]\frac{1}{4}[/tex] × z    .......2

Rest of eggs = 26  ........3

The addition of 1, 2 and 3 is equal to z  

[tex]\frac{2}{7}[/tex] × z + [tex]\frac{1}{4}[/tex] + 26 = z

[tex]\frac{8z + 7 z}{28}[/tex] + 26 = z                        ∵GCF for 4 and 7 is 28  

[tex]\frac{15z}{28}[/tex]  + 26 = z

15z + (26 × 28) = 28z                ∵ multiply both sides by 28

15z + 728 = 28z

28z - 15z = 728     .......... rearranging above equation

13z = 728  ⇒   z = [tex]\frac{728}{13}[/tex]   ⇒  z = 56

Total number of eggs = z = 56

Answer:

20%

Step-by-step explanation:

The elements or numbers are 1,2,3,4....20

And the probability you looking for is 4 and 8...thus only two elements... Counting them individually out of the total elements... Hence this gives... 2/20=1/10

Answer:

  =234 mm^2

Step-by-step explanation:

The surface area of a rectangular prism is given by

SA = 2 (lw +lh +hw)  where l is the length, w is the width and h is the height

SA = 2 ( 15*3 + 15*4 + 3*4)

     = 2( 45+60+12)

    = 2(117)

    =234 mm^2

i think this is the answer

Step-by-step explanation: So i think the answer is 2 : 3 and another one is

3 to 2

Answer:

The answer..,

Step-by-step explanation:

Let me know if you wanted the steps (:

ANSWER

[tex] \frac{ - 3 {x}^{3} - 2 {x}^{2} - x - 2}{x - 2} = - 3 {x}^{2} - 8x - 17 - \frac{36}{x - 2} [/tex]

EXPLANATION

We want to divide

[tex] - 3 {x}^{3} - 2 {x}^{2} - x - 2[/tex]

by

[tex]x - 2[/tex]

We perform synthetic division to obtain:

The remainder to be -36.

The quotient is

[tex] - 3 {x}^{2} - 8x - 17[/tex]

Therefore,

[tex] \frac{ - 3 {x}^{3} - 2 {x}^{2} - x - 2}{x - 2} = - 3 {x}^{2} - 8x - 17 - \frac{36}{x - 2} [/tex]

if this is asking what I think it is, all you do is subtract 5 by 9, divide it by 2, then add the product to five. which will get you 7.

5 + 9 = 14

14/2 = 7

The answer is 7

I would say B and D are correct.

Answer:

31

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

you multiply 5 times 27 equals 135

Answer:

26/16, 39/24, 52/32

Step-by-step explanation:

Answer: can you give me answer choises so i can answer?