A cylinder has a height of 18 feet.
Its volume is 16,334.28 cubic feet.
What is the radius of the cylinder?

Using compound interest, it is found that he must invest $45,225 now.

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In this problem:

Then:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]1000000 = P\left(1 + \frac{0.069}{12}\right)^{12(45)}[/tex]

[tex]P = \frac{1000000}{(1.00575)^{540}}[/tex]

[tex]P = 45225[/tex]

He must invest $45,225 now.

To learn more about compound interest, you can take a look at https://brainly.com/question/25781328

Answer:

He must invest $45,225

First let us know about Polynomial –

Types of polynomials based on the degree–

[tex]\qquad[/tex] ☀️ Constant polynomial :-

Example : 6 (6x⁰ : degree of x : 0)

[tex]\qquad[/tex]☀️ Quadratic polynomial :-

Example : 3x² + 7x + 6 (3x² : degree of x : 2)

[tex]\qquad[/tex]☀️ Cubic polynomial :-

Example : 5x³ + 3x² + 7x + 6 (5x³ : degree of x : 3)

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow (1) p(x) = 6x² – 7x + 2 + q(x) = 6x³ – 7x + 15}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² – 7x + 2 + (6x³ – 7x + 15)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² + 6x² – 7x – 7x + 2 + 15[/tex]

[tex]\qquad[/tex][tex]\purple{ \bf \longrightarrow 6x³ + 6x² – 14x + 17}[/tex]

[tex]\qquad[/tex][tex]\pink{\bf \longrightarrow (2) h(x) = 7x³ – 6x + 1 + f(x) = 7x² + 17x – 9}[/tex]

[tex]\qquad[/tex][tex]\sf \longrightarrow 7x³ – 6x + 1 + (7x² + 17x – 9)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 7x³ + 7x² – 6x + 17x + 1 – 9[/tex]

[tex]\qquad[/tex][tex]\pink{\bf\longrightarrow 7x³ + 7x² + 11x – 8}[/tex]

1) The degree of the polynomial is 3.

2) The degree of the polynomial is 3.

Answer:

put your  best gees

Step-by-step explanation:

Step-by-step explanation:

Start by multiplying both sides by cosα:

1 + sinα + (cos²α)/(1+sinα) = 2

sinα + (cos²α)/(1+sinα) = 1

Now multiply both sides by 1+sinα:

sinα + sin²α + cos²α = 1 + sinα

sin²α + cos²α = 1 Q.E.D.

Thats the answer and method i used

Answer:

Equation in slope intercept form: y = -2x -1

Step-by-step explanation:

First you must convert this equation from standard form to slope intercept form (y=mx+b).

Subtract 6x on both sides to get 3y = -6x - 3. Then divide by 3 on both sides to get y = -2x - 1.

Now to graph:

First we will plot the y-intercept, which will be (0,-1). The point will be on the y-axis, since that's the point in which the line will cross.

Next we will go down 2 units and over to the right 1 unit, until we get to the next point.

(Picture is attached above for your convenience⤴⤴⤴)

Hope this helps you :)

Answer:

Step-by-step explanation:

Wind, friction and terrain (flat versus hilly) all oppose motion of the bike.  Air resistance increases as the bicyclist goes faster (there's none at 0 mph, a significant amount at 30 mph, a greater amount at 40 mph, and so on).

Answer:

8

Step-by-step explanation:

Answer:

[tex]y=-\frac{1}{3}x-4[/tex]

Step-by-step explanation:

To find the slope perpendicular to this, take the negative reciprocal of the slope. Basically, invert both the fraction and the negative/positive so that 3 becomes -1/3.

Now, using the new slope and the given point, we can find the y-intercept. Plug the 3 known variables into the equation:

[tex]y=mx+b\\-7=(-\frac{1}{3})(9)+b[/tex]

Then, solve for b:

[tex]-7=-3+b\\-4=b\\b=-4\\[/tex]

Finally, with both the slope and the y-intercept, you can write the equation of the line:

[tex]y=-\frac{1}{3}x-4[/tex]

Answer:

b

Step-by-step explanation:

what grade?

Answer:

It is False

Step-by-step explanation:

Answer:

  c = -1/2

Step-by-step explanation:

Put the known values in the equation and solve for the unknown.

  k = cd² +e

  3 = c(2²) +5

  -2 = 4c . . . . . . . subtract 5

  -1/2 = c . . . . . . divide by 4

What we know:

Korena is paid $40 every five times she does the job

What we need to figure out:

How many times does she have to do it to earn $100

Math:

First I'm going to figure out how much she makes each time she weeds

Money earned ÷ Amount of times

40 ÷ 5

= 8

In order to determine the rest of the time we are going to multiply everything we know by 2

Korena is paid $80 if she does it 10 times

We clearly aren't going to do that again because that will surpass the amount so now we are going to use the unit rate we figured out;

($8 per time)

Korena is paid $88 if she does it 11 times

Korena is paid $96 if she does it 12 times

Korena is paid $104 if she does it 13 times

Statement

Therefore if Korena weeds the garden 13 times she will make $104 surpassing the $100 needed.

Your math problem

(==)=24=+53−2+12

f(x)=2x^{4}+5x^{3}-2x+12

Find solutions on the

Explanation:

We're given that

Note that P(A)*P(B) = 0.53*0.17 = 0.0901 which is somewhat similar to 0.901 but not entirely the same. We have an extra zero between the decimal point and the nine. So this indicates that [tex]P(A)*P(B) \ne P(\text{A and B})[/tex]. Therefore, events A and B are not independent. We consider them dependent.

Answer:

  7 cm, 16 cm, 19 cm

Step-by-step explanation:

Let s represent the length of the shortest side in cm. The longest side is 3s-2, and the other side is 2s+2. The perimeter is the sum of the side lengths.

  P = s + (3s -2) +(2s +2)

  42 = 6s . . . . . simplify, use the given value of perimeter

  7 = s . . . . . . . divide by 6

  2s+2 = 16

  3s -2 = 19

The side lengths are 7 cm, 16 cm, and 19 cm.

Answer:

62.273  

Step-by-step explanation:

sorry it took me a little while to translate i speak only english

Answer:

38cm squared

Step-by-step explanation:

this will be the answer

1: x=-4 or x=-3 and the second can be shown clearly

Answer: I believe he is wrong because when I had to do this it was (a+b)(a+b)-ab

Answer:

Three choice

Step-by-step explanation:

I think.

17 minutes

hope this helps!

Answer:

  A.  Function 1

Step-by-step explanation:

The slope of Function 2 can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-8 -(-2))/(3 -0) = -6/3

__

The slope of function 1 can be found by comparing the equation to the slope-intercept equation for a line:

  y = mx + b . . . . . . equation with slope m and y-intercept b

The slope of Function 1 is -7/3.

-7/3 is more negative than -6/3, so Function 1 has the more negative slope.

Answer:

Answer: f(-7) = -167

Step-by-step explanation:

[tex]{ \tt{f(x) = - {3x}^{2} - 20}}[/tex]

• When x is -7, f(x) is f(-7):

[tex]{ \tt{f( {}^{ - }7) = {}^{ - } 3( { {}^{ - }7) }^{2} - 20 }} \\ \\ { \tt{f( {}^{ - } 7) = ( {}^{ - } 3 \times 49) - 20}} \\ \\{ \tt{ f( {}^{ - }7) = {}^{ - } 147 - 20 }} \\ \\ { \boxed{ \tt{f( {}^{ - }7) = {}^{ - } 167 }}}[/tex]

Based on the calculations, the evaluation of this function is equal to -167.

Given the following data:

In this exercise, you're required to evaluate the given function. This ultimately implies that, we would substitute the vale of x into the function as follows.

Note: The value of x is equal to -7.

Substituting the given parameter into the function, we have;

[tex]f(-7)=-3(-7)^2-20\\\\f(-7)=-3(49)-20\\\\f(-7)=-147-20[/tex]

f(-7) = -167.

Read more on function here: https://brainly.com/question/10439235

10.

In order to find the missing value, we need to divide 173.1, by 17.31:

173.1 / 17.31 = 10

Dividing the product (173.1) by one value in the equation (17.31) can represent what the missing value is, in order for 17.31 to equal 173.1

17.31 · 10 = 173.1

173.1 / 10 = 17.31

Answer:

A)

Step-by-step explanation: