You invest $5000 in an account to save for college.
The account pays 5% annually and compounds continuously.
What would be the account balance after 4 years.

Answer:

104 square inches .............

Answer:

Median: 88, First Quartile: 84, Third Quartile: 92, IQR (interquartile range): 8

Step-by-step explanation:

1. Sort the numbers in numerical order (like 1, 2, 3, etc.)2. Find the number that is in the middle3. Find all the quartiles by finding the median of the lower and upper halves of the list4. Subtract Q1 (quartile 1) and Q3 (quartile 3) like this: Q3 - Q1 to get IQR

Answer: 0.227

Step-by-step explanation:

Answer:

B. 0.227

Step-by-step explanation:

Have a great day!

Answer:

a.90 b.54

Step-by-step explanation:

40%=0.4 number of t-shirt in her dresser

Total number of t-shirt is 100%

=1.0

let x be the total number of t-shirt

0.4=36

1.0= x

0.4x=36

dividing both sides by 0.4

x=90

b. 90-36=54 t-shirts

The volume of the box made by cardboard box company which has a depth of n, a height of 2n+1, and a width of 3n+2, is 6n³+7n²+2n

Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.

Volume of a rectangular prism is the product of its width, height and length.

V=w×h×l

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.

A cardboard box company designs all of its boxes suc that they have the measure of depth of n, a height of 2n+1, and the measure of width of 3n+2.Thus, the volume of this box is,

V=w×h×l

V=(3n+2)×(2n+1)×(n)

V=(3n+2)×(2n²+n)

V=6n³+3n²+4n²+2n

V=6n³+7n²+2n

Thus, the volume of the box made by cardboard box company which has a depth of n, a height of 2n+1, and a width of 3n+2, is 6n³+7n²+2n

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The value of the x and y is 12 and -10 respectively, and the provided figure is a parallelogram because the diagonals bisect each other.

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

As we know in the parallelogram, the diagonals bisect each other.

Then,

432 = 3x²

x² = 144

x = √144

x = 12

In the parallelogram, the adjacent opposite angles are the same.

∠C+∠B = 240°

= 360 - 240

∠A + ∠D = 120°

∠A = ∠D = 120°/2 = 60

∠D/2 = 60/2 = 3y + 60

3y + 60 = 30

3y = -30

y = -10

From the definition of the parallelogram, the provided figure is a parallelogram.

Thus, the value of the x and y is 12 and -10 respectively and the provided figure is a parallelogram because the diagonals bisect each other.

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Answer:

im passing this concept trust me the anser is airplane B

Step-by-step explanation:

The prime factors that the numbers 24 and 36 have in common are found out to be; 2 × 2 × 3

A prime factor of a number is simply factor of that number that is a prime number. This means that any of the prime numbers that can be multiplied to give the original number.

Now, we have;

Prime factors of 36; 2 × 2 × 3 × 3

Prime factors of 24; 2 × 2 × 2 × 3

The prime factors that they have in common will be; 2 × 2 × 3

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Answer:

r≈4.65

Step-by-step explanation:

Answer:

y=3x bro I'm pretty sure this is wrong tho I'm not good at math

Answer:

I'm not sure but I think it's +3

Step-by-step explanation:

more than = +

Answer:

For 50% its 12, for 25% its 6, and for 75% its 18

Step-by-step explanation:

Hey there!

5x + 30

5(x + 6)

= 5(x) + 5(6)

= 5x + 30

5x + 30 = 5x + 30

Therefore, the answer should be:

5(x + 6)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

16 i think

Step-by-step explanation:

Answer:

purple

Step-by-step explanation:

if you take red and blue u get purple. the apple is red then add blue and boom.

Answer:

it is red,

Step-by-step explanation:

there are many types of apples, not all apples are red, some are red and green some have a mix of different colors on them

Check the picture below.

the axis of symmetry is the line, in this case a vertical one, where the graph begins to mirror itself.

the range is simply the vertical distance in this case, the parabola goes as low as 0 then back up, the arrows mean the graph keeps on +∞.

The diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.

Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of the cylinder can be given as,

[tex]V=\pi r^2h[/tex]

Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.

Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the diameter of the barrel was.

She needs to know the diameter so that she can build a platform for it to sit on.

The seller told her the volume of the barrel is 6,925pi cubic in and its height is 38 in.

[tex]V=\pi r^2h\\6925=\pi r^2(38)\\\dfrac{6925}{38\pi}= r^2\\r=\sqrt{\dfrac{6925}{38\pi}}\\r\approx7.62 \rm\; in[/tex]

The diameter of the cylinder is twice the radius of it. Thus, the diameter of the cylinder is,

[tex]d=7.62\times2\\d=15.23\rm\\d\approx15\rm\; in[/tex]

Thus, the diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.

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The inequality to find possible distances from Alexandria's home to a park that satisfies the conditions is: 2+D/50≤6 and the distance is 200 miles.

Minimum distance=(50×2)

Minimum distance=100 miles

Time (T) required to cover the distance (D)

Time=D/50 hours

Inequality is 2+D/50≤6

Hence:

Let solve for Distance (D)

D/55≤6-2

D≤4×50

≤200

Therefore the inequality to find possible distances from Alexandria's home to a park that satisfies the conditions is: 2+D/50≤6 and the distance is 200 miles.

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Answer: 100ft 113.6ft 200ft

Step-by-step explanation:

These new lengths are all ⅘of the original length

Step-by-step explanation:

remember the rules of exponents.

a "minus" sign means 1/...

like 2^-1 = 1/2

and 2^-3 = 2^(3(-1))

so, it is 1/2³ = 1/8.

so, now here in our case

y = 3×(1/2)^-2 = 3×(1/2)^(2(-1)) = 3×((1/2)²)^-1 = 3×(1/4)^-1 =

= 3× 1 / 1/4 = 3×4 = 12

f(x) is our regular graph where the y value is determined by the x value that is plugged in.

f(x + 2) = horizontal shift to the left 2 units

---x, the horizontal axis, is what is being altered here because the change occurs within the parenthesis. We always do the opposite action/move the opposite way when the shift occurs within the parenthesis.

f(x) + 2 = vertical shift up 2 units

---y, the horizontal axis, is what is being altered here because the change occurs outside the parenthesis. We move the function as we would expect to when the shift occurs outside the parenthesis.

Hope this helps!

The slope of the line tangent to the polar curve [tex]\rm r =3sin\theta[/tex] is 1.79.

A surface on which one end or side is at a higher level than another; a rising or falling surface.

The slope of the line tangent to the polar curve;

[tex]\rm r =3sin\theta[/tex]

The slope of the tangent is given by the following formula;

[tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ (\dfrac{dr}{d\theta}sin\theta + cos\theta)}{(\dfrac{dr}{d\theta}cos\theta-rsin\theta)}[/tex]

Differentiate the given polar curve

[tex]\rm r =3sin\theta\\\\\dfrac{dr}{d\theta}=3cos\theta\\\\[/tex]

Substitute all the values in the formula

[tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ (\dfrac{dr}{d\theta}sin\theta + rcos\theta)}{(\dfrac{dr}{d\theta}cos\theta-rsin\theta)}\\\\\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ (3cos\theta \times sin\theta +3 sin \theta \times cos\theta)}{(3cos\theta \times cos\theta-3 sin \theta \times sin\theta)}\\\\\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{3 (cos\theta sin\theta + sin \theta cos\theta)}{3(cos\theta cos\theta- sin \theta sin\theta)}\\\\[/tex][tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ 2sin\theta cos\theta}{(cos^2\theta -sin^2 \theta)}[/tex]

Substitute the value of [tex]\theta[/tex] in the equation

[tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ 2sin \dfrac{\pi }{6} cos\dfrac{\pi }{6} }{(cos^2\dfrac{\pi }{6} -sin^2 \dfrac{\pi }{6} )}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{2 \times 0.5 \times 0.86}{0.86^2 -0.5^2}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{0.86}{0.73- 0.25}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{0.86}{0.48}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =1.79[/tex]

Hence, the slope of the line tangent to the polar curve [tex]\rm r =3sin\theta[/tex] is 1.79.

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Answer: The smallest zero is -3.

Step-by-step explanation: Zeros of a function are the values of input for which the function gives 0 output.

Here, the given function is,

p(x) = x(x-5)(x-2)(x+3)

For finding the zeroes of p(x),

p(x) = 0

⇒ x(x-5)(x-2)(x+3) = 0,

⇒ x = 0 or x - 5 = 0 or x-2=0 or x+3=0

⇒ x = 0 or x = 5 or x = 2 or x = -3

Thus, the zeros of the given function are 0, 5, 2, -3

In which -3 is smallest.

Answer:

x = -3

Step-by-step explanation:

x(x-5)(x-2)(x+3) = 0    means at least one of these terms = 0

so  

                        x = 0       or

x-5 = 0     then x = 5        or

x-2 = 0     then x = 2       or

x+3 = 0     then x= -3

Answer:

x^2-10x+24

Step-by-step explanation:

We need to factor the equation

(x-4)(x-6)

-4x+-6x=-10x

Set it equal to 0

x-4=0

x=4

x-6=0

x=6

Answer:

50

Step-by-step explanation:

180-105=75

180-(75+55)=50

Answer:

0.50 or 50%

Step-by-step explanation:

40 x 125 = X

1.25 as a decimal or 125%

40 x 1.25 = 0.50

0.50 --->50%

40 x 125% = 50%