Tom's stockbroker offers an investment that is compounded continuously at an annual interest rate of 3.7%. If Tom wants a return of $25,000, how long will Tom's investment need to be if he puts $8000 initially? Give the exact solution in symbolic form and then estimate the answer to the tenth of a year.

Answer:2.38782608695652173913043478260869565217

Step-by-step explanation:

you divide 1373 by 575

Answer:

c

Step-by-step explanation:

The error was to include the number -14 in the inequality.

An inequality is a statement that is formed when two expressions are joined using an inequality operator.

The inequality that represents the statement is

x  > -14

Bryan wrote the inequality as x ≥ -14 , which is wrong as there is an open circle at -14 on the number line.

An open circle depicts that the number is not included.

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Answer:

x^6 - (8/5)x^5 - 3x^3 + C.

Step-by-step explanation:

f(x) = 6x^5 - 8x^4 - 9x^2.

Using the general form antiderivative of Ax^m = Ax(m+1) / (m+1)+ C:

Antiderivative = 6 * x^(5+1) / 6 - 8 * x^(4+1) / 5 - 9 * x^(2+1) / 3 + C

=  6x^6/6  - 8x^5/5 - 9x^3/3 + C

= x^6 - (8/5)x^5 - 3x^3 + C.

Differentiating:

f'(x) = 6x^(6-1) - 8 x^(5-4) - 9x^(3-1) + 0

f'(x) = 6x^5 - 8x^4 - 9x^2.

The most general antiderivative of the given function f(x) = 6x5 − 8x4 − 9x2 is F(x) = x^6 - 8/5 * x^5 - 3x^3 + C, where C is the constant of the antiderivative.

To find the most general antiderivative of the given function f(x) = 6x5 − 8x4 − 9x2, we need to perform the process of integration, which is the reverse of differentiation. The antiderivative F(x) will be found by integrating each term of the function separately.
The antiderivative of f(x) will then be:  

F(x) = ∫6x5 dx - ∫8x4 dx - ∫9x2 dx,

Transitioning to the next step by applying the power rule for integration, we add 1 to the exponent and divide by the new exponent, we obtain

F(x) = 6/6 * x^(5+1) - 8/5 * x^(4+1) - 9/3 * x^(2+1) + C

Simplified, the antiderivative F(x) becomes:  

F(x) = x^6 - 8/5 * x^5 - 3x^3 + C,

where C is the constant of the antiderivative.

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Answer:

The team qualified for the finals.

Step-by-step explanation:

The question is:

Find the arithmetic mean for the following situations: i. In order to qualify for the Jokie Finals, the team must have a goal average greater than 20 points. The following are the scores obtained: 25, 12, 15, 23, 24, 39, 13, 31, 19, 16. Did they qualify for the finals? HELP ME

The average goal the team must have to win the Jokie finals is more than 20 points.

The goals obtained by the team are:

X = {25, 12, 15, 23, 24, 39, 13, 31, 19, 16}

The arithmetic mean is the average value of a data set. The formula to compute the arithmetic mean is:

[tex]\bar X=\frac{1}{n}\sum X_{i}[/tex]

Compute the arithmetic mean of the goals scored by the players as follows:

[tex]\bar X=\frac{1}{n}\sum X_{i}[/tex]

    [tex]=\frac{1}{10}\times (25+12+15+23+24+39+13+31+19+16)[/tex]

    [tex]=\frac{1}{10}\times 217\\[/tex]

    [tex]=21.7[/tex]

The arithmetic mean of the goals scored by the players is 21.7 points.

The average score is greater than 20 points.

Thus, the team qualified for the finals.

Answer:

y=7x-38

Step-by-step explanation:

Answer: therefore A= 0.1 and B=0.85

Step-by-step explanation:

The values of 'a' and 'b' in the frequency table are 0.1 and 0.1

We have,

To complete the conditional relative frequency table, we need to find the values of the letters 'a' and 'b'.

We know that the total for each row and column should add up to 1.

So, we can use this information to set up two equations and solve for the values of 'a' and 'b'.

Equation 1:

0.9 + b = 0.88

This equation represents the total percentage of students aged 16 years who finish homework before 10 pm.

We subtract 0.9 and 0.88 from both sides to get:

b = 0.88 - 0.9

b = -0.02

This means that the value of 'b' is negative, which doesn't make sense.

So, we made an error in setting up the equation.

We can check the table to find the correct value of 'b'.

We know that the total for the column "Before 10 pm" should be 1.

This means that the sum of the percentages 0.9 and 'b' should be equal to 1.

So,

Equation 2:

0.9 + b = 1

Solving for 'b', we get:

b = 1 - 0.9

b = 0.1

Now, we can use Equation 2 to solve for 'a':

0.15 + a = 0.12

Subtracting 0.15 from both sides, we get:

a = 0.12 - 0.15

a = -0.03

Again, we get a negative value for 'a', which doesn't make sense.

So, we need to check our work again.

We know that the total for the row "16 years" should be 1.

This means that the sum of the percentages 0.9 and 'a' should be equal to 1.

So,

0.9 + a = 1

Solving for 'a', we get:

a = 1 - 0.9

a = 0.1

Therefore,

The values of 'a' and 'b' in the frequency table are 0.1 and 0.1

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Answer:

C: 70x+50; $16,850

Step-by-step explanation:

I just took the test don’t fail :)

Answer:

domain of y = sqrt (x+4) is [-4, +inf)

Step-by-step explanation:

[-4, +inf), -4 is included because sqrt(-4 + 4) is defined but is undefined at the points from (-inf, -5].

1. A) 0 (I’m not totally sure since there are two of the same thing, but with different answers.)

2. (Not sure)

3. C) 3

4. A) 6

5. A) 4

6. C) 4 (I’m pretty sure it’s 4 if it’s in the way I think it should be in to get 4.)

7. C) 4

8. A) 0

(I tried my best, I’m probably wrong, because I don’t exactly know how to do logarithms yet. Sorry if I got some wrong.)

Answer:

1) B

2) B

3) C

4) A

5) A

6) C

7) C

8) A

Answer:

A) 7(c + d)

Step-by-step explanation:

5(c + d) + 2(c + d)

5c + 5d + 2c + 2d

7c + 7d

7(c + d)

Answer:

A

Step-by-step explanation:

Distribute the 5

5(c + d) + 2(c + d)

5*c+5*d  +2(c + d)

5c+5d +2(c + d)

Distribute the 2

5c+5d+ 2*c+2*d

5c+5d+2c+2d

Combine like terms (combine the ds and the cs)

5c+2c +5d+2d

7c+7d

A is equivalent to this answer

7(c + d)

Distribute the 7

7*c+7*d

7c+7d

So, A is the answer

Answer:

[tex]\frac{4^{15} }{b^{21} }[/tex]

Step-by-step explanation:

First, multiply the exponent 7 and the -3 together, giving you:

[tex]b^{-21}[/tex]

Then, multiply the exponent 5 and the -3 together, giving you:

[tex]4^{-15}[/tex]

But since you can't have a negative exponent, you need to switch the numbers in their places. This is because, when you have a negative exponent, you either switch it to under 1 or over 1, depending on where it currently is:

[tex]\frac{4^{15} }{b^{21} }[/tex]

Answer:

81x+2

Step-by-step explanation:

2x+x=3x

3×3×3×3=81x

Answer:

c. -12/13

Step-by-step explanation:

it will be the y-coordinate divided by the distance from the origin, or (-12) / [tex]\sqrt{5^2+12^2}[/tex] = -12/13

Answer:

C. -12/13

Step-by-step explanation:

(-5,-12) is in the third quadrant

So sin would be negative

Hypotenuse = sqrt(5² + 12²)

sqrt(169)

13

sin(theta) = -12/13

Answer:

[tex]201 cm^2[/tex]

Step-by-step explanation:

The circumference of a circle is given by:

[tex]c=2\pi r[/tex]

where

r is the radius of the circle

For the circle in this problem,

c = 50.24 cm

Therefore the radius is:

[tex]r=\frac{c}{2\pi}=\frac{50.24}{2\pi}=8 cm[/tex]

The area of a circle is given by the formula

[tex]A=\pi r^2[/tex]

where r is the radius.

For the circle in this problem,

r = 8 cm

So the area is

[tex]A=\pi \cdot 8^2 = 201 cm^2[/tex]

The area of the circle is 201 cm square.

Since we know that

Circumference of the circle = [tex]2\pi r[/tex]

So here radius should be

[tex]= c\div 2\pi \\\\= 50.24\div 2\pi[/tex]

= 8 cm

Now the area of the circle is

[tex]= \pi r^2\\\\= 3.14\times 8^2[/tex]

= 201

Hence, we can conclude that The area of the circle is 201 cm square.

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Answer:

4+35=39, 23+43-23+46-34-34+6=27. So it is a no solution question.

Step-by-step explanation:

Both of the equations do not equal

Answer:

69

Step-by-step explanation:

I love the number 69, and tbh it's the answer to everything

Answer:

Overconfidence

Step-by-step explanation:

In this question we have a company that is offering a certain higher discount when a customer purchases its wares at bulk rather than in bits, we want to know what exactly the customer wants its company to experience.

The correct answer to this is overconfidence. The company wants its customers to experience overconfidence by going for the second option which shows a massive reduction in value of what they should pay

Answer:

The probability that there will be repair exactly 3 toaster is 0.0574.

Step-by-step explanation:

Binomial Distribution:

A discrete random variable X having the set {0,1,2,3......,n} as the spectrum, is said have a binomial distribution with parameter n= number of trials and p=probability of number of success on an individual trial, if the p.m.f (probability mass function) of X given by,

[tex]P(X=x)=C(n,x)p^x(1-p)^{n-x}[/tex]    x=0,1,2,......,n

               =0                                   elsewhere

where 0<p<1 and n is a positive integer.

Total number of toaster in cartons(n) = 10.

Probability of number of success on an individual trial p= 10% = 0.10

[tex]\therefore P(X=3)= C(10,3)(0.10)^3(1-0.10)^{10-3}[/tex]

                    [tex]=\frac{10!}{3!(10-3)!}(0.10)^3)(0.90)^7[/tex]

                    =0.0574

The probability that there will be repair exactly 3 toaster is 0.0574.

Question:

59 Revenue. The revenue (in dollars) from the sale of x infant car seats for infants is given by

R(x) =60·x - 0.025·x² 0 ≤ x ≤ 2400

(A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats.

(B) Use the four-step process to find

(C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and write a brief verbal interpretation of these results

Answer:

(A) $437.5

(B) R'(x) = 60 - 0.05·x

(C) $10

Step-by-step explanation:

(A) Here we have the change in revenue when production is increased from 1,000 car seats to 1,050 car seats is given as follows;

R(1050) - R(1000) = 60×1050 - 0.025×1050² - (60×1000 - 0.025×1000²)

R(1050) - R(1000) = 63000 - 27562.5 - 35000 = $437.5

(B) R'(x) is given by

Step 1. R(x + h) = 60·(x+h) - 0.025·(x+h)²

Step 2  R(x + h) - R(x) = 60·(x+h) - 0.025·(x+h)² -  60·x - 0.025·x² = [tex]-\frac{h^2+(2x-2400)h}{40}[/tex]

Step 3

[tex]\frac{R(x+h)- R(x)}{h} = -\frac{h^2+(2x-2400)h}{40 \times h} = -\frac{h +2x - 2400}{40}[/tex]

Step 4

[tex]\lim_{h \to 0} \frac{R(x+h)- R(x)}{h} = \lim_{h \to 0} -\frac{ h +2x - 2400}{40}[/tex]

∴  R'(x) = 60 - 0.05·x

(c) The revenue at a production level of 1000 car seats is

R(1000) = (60×1000 - 0.025×1000²) = $35,000

The instantaneous rate of change of revenue is given as follows

R'(x) = 60 - 0.05·x = 60 - 0.05×1000 = $10.

A) The average change in revenue when production is changed from 1,000 car seats to 1,050 car seats is $8.75. B) The derivative of the revenue function R1(x) with respect to x is R′1(x) = 60 - 0.05x. C) At a production level of 1,000 car seats, the revenue is $35,000 and the instantaneous rate of change of revenue is $10.

(A) To find the average change in revenue, we need to calculate the change in revenue and divide it by the change in the number of car seats produced. Let's calculate:

(B) To find R′1(x), we need to calculate the derivative of the revenue function R1(x) with respect to x. Let's differentiate:

R′1(x) = d/dx(60x - 0.025x2) = 60 - 0.05x

(C) At a production level of 1,000 car seats, the revenue is $35,000. The instantaneous rate of change of revenue (also known as the marginal revenue) at this production level can be found by substituting x = 1,000 into R′1(x):

R′1(1000) = 60 - 0.05(1000) = 60 - 50 = $10. The revenue at this production level is $35,000 and the instantaneous rate of change of revenue is $10, which represents the additional revenue obtained from producing one additional car seat.

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Answer:

D. A two-sample z-test for a difference in population proportions

Step-by-step explanation:

There are two samples, and we want to test for the difference between the proportions of two different populations.

Answer:

Length of the rope = 15.6 ft.

Step-by-step explanation:

Given:

Height of the pole from the ground = 12 ft

Adjacent distance from the pole = 10 ft

We have to find the length of the rope attached by Scott to secure the pole.

According to the question :

In forma  right angled triangle as shown in the figure.

We have to find the measure of the hypotenuse.

Length of rope = Hypotenuse measure

Let the length of the rope = "h" ft

Using Pythagoras formula.

⇒ [tex](hypotenuse)=\sqrt{opposite^2+ adjacent^2}[/tex]

⇒ Plugging the values.

⇒ [tex]h=\sqrt{12^2 + 10^2}[/tex]

⇒ [tex]h=\sqrt{144 + 100}[/tex]

⇒ [tex]h=\sqrt{244}[/tex]

⇒ [tex]h=15.62[/tex] ft

The length of the rope, rounded to the nearest tenth is 15.6 ft.

Answer:

The answer to your question is  y = 4x + 2

Step-by-step explanation:

Data

slope = m = 4

Point = (1, 6)

Process

1.- Write the equation of the line in the point slope form.

           y - y1 = m(x - x1)

2.- Identify the values of x1 and y1

           x1 = 1  y1 = 6

3.- Substitution

          y - 6 = 4(x - 1)

4.- Simplification

         y - 6 = 4x - 4

5.- Solve for y

         y = 4x - 4 + 6

6.- Result

       y = 4x + 2

Answer:

  S = 2 pi (3) squared + 2 pi (3) (14)

Step-by-step explanation:

The formula for the area of a circle is ...

  A = πr²

The cylinder has two circular bases with radius 3 cm, so their combined area in square centimeters is ...

  A = 2π(3²) . . . . . . matches a term in the last choice

__

The lateral area of the cylinder is the product of the height and the circumference of the base. That is ...

  A = 2πrh

For the given radius and height, the lateral area in square centimeters is ...

  A = 2π(3)(14) . . . . . . matches a term in the last choice

__

The total surface area is the sum of the areas of the bases and the lateral area, so is ...

  S = 2π(3²) +2π(3)(14) . . . . . matches the last choice

_____

Comment on answer choices

We could choose the correct answer based solely on the area of the bases of the cylinder.

Answer:

S = 2 pi (3) squared + 2 pi (3) (14)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's solve for c.

6c−9d=111

Step 1: Add 9d to both sides.

6c−9d+9d=111+9d

6c=9d+111

Step 2: Divide both sides by 6.

6c

6

=

9d+111

6c=3/2 d+37/2

Answer:

c= 3/2 d+37/2

Second one

Let's solve for c.

5c−9d=103

Step 1: Add 9d to both sides.

5c−9d+9d=103+9d

5c=9d+103

Step 2: Divide both sides by 5.

5c

5

=

9d+103

5c =9/5 d+103/5

Answer:

c=8, d = -7

Step-by-step explanation:

6c - 9d = 111

5c - 9d = 103

Multiply the second equation by -1

-5c + 9d = -103

Add this to the first equation to eliminate d

6c - 9d = 111

-5c + 9d = -103

------------------------

c        = 8

Now we need to find 9

6c - 9d = 111

Substitute in c=8

6(8) -9d = 111

48 - 9d = 111

Subtract 48 from each side

49-48 -9d = 111-48

-9d =63

Divide each side by -9

-9d/-9 = 63/-9

d = -7

Answer:

7.1

Step-by-step explanation:

You can use the Pythagorean Theorem to solve this:

[tex]a^{2} + b^{2} = c^{2}[/tex]

All you need to do is plug in the numbers (in this case, they've already given you the hypotenuse, which is c in the formula, are you're solving for the leg).

[tex]7^{2} + b^{2} = 10^{2}[/tex]

49 + [tex]b^{2}[/tex] = 100

Subtract 49 from both sides:

49 + [tex]b^{2}[/tex] = 100

-49          -49

___________

[tex]b^{2}[/tex] = 51

Square root both sides:

[tex]\sqrt{b^2} = \sqrt{51}[/tex]

b = 7.14

b = 7.1

Answer:

15

Step-by-step explanation:

22.50-3.75=18.75

18.75/1.25=15

BRAINLIEST WOULD BE APPERCIATED

The maximum number of ride tickets that he can buy is; 15

Connor has 22.50$, bought a hot dog and a drink for $3.75.

In essence, the amount Connor has left is;

= $18.75

Therefore, if he wanted to spend the rest of his money on ride tickets which cost $1.25 each, the maximum number of ride tickets that he can buy can be evaluated as follows;

No. of ride tickets = $18.75/$1.25

No. of ride tickets = 15

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Answer:a fgbvffjnfv

Step-by-step explanation:

Answer:

the probability that at the end, at least 5 people stayed the entire time = 0.352

Step-by-step explanation:

From the question, 3 of the people are sure to stay the whole time. So, we'll deduct 3 from 6.which leaves us with 3 that are only 2/5 or 0.4 sure that they will stay the whole time.

Thus, what we need to compute to fulfill the probability that at the end, at least 5 people stayed the entire time of which we know 3 will stay, so for the remaining 3,we'll compute;

P[≥2] which is x~bin(3,0.4)

Thus;

P(≥2) = (C(3,2) x 0.4² x 0.6) + (C(3,3) x 0.4³)

P(≥2) = 0.288 + 0.064

P(≥2) = 0.352

Answer:

Don't worry, there is no solution.

Step-by-step explanation:

If you end up with 0 equaling something that isntn0 when you're simply solving a variable, there is no solution. But if you get 0=0, it's all real numbers.

Answer:

Hence  the probability of getting 2 spades will be 1/16

Step-by-step explanation:

Given:

Two deck if playing cards

To Find:

Probability that will get two spades

Solution:

As we know that ,there 52 playing cards in a deck

and 13 of that are spades

So probability of getting spade from a deck is ,

P(spades)=total number of spades /Total number of cards.

P=13/52

P=1/4

Similar for the second deck of card,

Required probability is that , getting spades from each deck

It is given by,

Required probability =Probability of spades in 1st AND Probability  of spade in 2nd deck

As there is use of AND operator there should multiplication of two events,

Required probability =1/4*1/4

=1/16

Answer: The diagonal length of the suitcase is 30 inches. Assuming that the length and height of the suitcase form a right angle (90 degree angle), you can use the Pythagorean Theorem ( a2+b2 = c2) to solve this problem. The diagonal length is equal to the square root of the sum of the length squared and the height squared.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

if you think about a rectangle cut by its diagonal then yoou can see that its just 2 right triangles and youre looking for the long end

Using pythagorean theorem you put in the numbers

[tex]24^{2} + 18^2 = c^2[/tex]

solving gives you

[tex]900 = c^2[/tex]

[tex]\sqrt{900} = c[/tex]

30 = c