Barry Olson just purchased 800 shares of an electronics corporation stock at $42.17 per share. His online broker charged him $10.00 commission. What was the total cost of the stock? Show work.
A) 22,489
B) 33, 579
C) 42, 458
D) 33, 746

Answer:

When a population or group of something is declining, and the amount that decreases is proportional to the size of the population, it's called exponential decay. In exponential decay, the total value decreases but the proportion that leaves remains constant over time.

Step-by-step explanation:

Answer:

[tex]y  =Ae^{-kx}[/tex]

would be the exponential decay function for initial population A and decaly rate is -k.

Step-by-step explanation:

Exponential decay occurs when rate of change of population or any other quantity is proportional to the present population or quantity present

i.e. if y is the population

then dy/dx = -ky where k is a positive constant of proportionality

[tex]\frac{dy}{y} =-kdx\\ln y = -kx+C\\y = e^{-kx+C} =Ae^{-kx}[/tex]

Answer:

The answer is:  " [tex]5a^\frac{1}{2}[/tex] "  .

_____________________________________________

Step-by-step explanation:

______________________________________________

We are asked to convert "5 square root of a"  ;  into "exponential form".

Note that "5 square root of a" ;

             or;  " 5 root a " ;

means:    " 5 times the {square root of the variable, "a" };

      or :    " 5 multiplied by the {square root of the variable, "a" }.

_______________________________________________

This can be written as:   " [tex]5\sqrt{a}[/tex] " .

_______________________________________________

Note the following property of exponents:

[tex]\sqrt[n]{a^m} = (\sqrt[n]{a})^m = a^m^n[/tex] .

_____________________________________________

So;  to write:  " √a "  ;   as an exponent :

______________________________________________

Note:  

" [tex]\sqrt{a}  = \sqrt[2]{a} =   \sqrt[2]{a^1} = (\sqrt[2]{a})^1 =  a^\frac{1}{2}[/tex] " .

_______________________________________________

So:

" [tex]\sqrt{a}  =  a^\frac{1}{2}[/tex] "  ;

_______________________________________________

And:

________________________________________________

" [tex]5\sqrt{a}  =  5a^\frac{1}{2}[/tex] " .

________________________________________________

   →   The answer is:  " [tex]5a^\frac{1}{2}[/tex] " .

________________________________________________

Hope this helps!

   Best wishes in your academic endeavors

           — and within the "Brainly" community!

________________________________________________

1458/26 = 56.0769230769

Hope this helps! <3

The quotient is 56, and there is a remainder of 2.

The quotient of 1,458 divided by 26 is 56. In long division, you would set up the problem as follows:

        56

     __________

26 | 1,458

You start by asking how many times 26 can fit into 145 (the first two digits of 1,458). The answer is 5 (5 times 26 equals 130).

You write the 5 above the line and subtract 130 from 145, leaving you with 15.

Then, you bring down the next digit, which is 8, making it 158. You repeat the process, finding that 26 goes into 158 six times (6 times 26 equals 156).

Write the 6 above the line, and you're left with a remainder of 2. So, the quotient is 56, and there is a remainder of 2.

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Answer:

Speed = 9.6 km/s

Distance traveled in 2 seconds = 19.2 km

Step-by-step explanation:

Given that revolving speed of the Saturn around the sun = 6 miles per second

We need to convert this speed into kilometers per second.

Given that 1 mile = 1.6 kilometers so plug that into above speed. We get:

Revolving speed of the Saturn around the sun = (6)(1.6) kilometers per second.

Revolving speed of the Saturn around the sun = 9.6 kilometers per second.

Now to find distance travelled in 2 seconds, we just need too multiply the speed by time.

Distance = (9.6)(2)= 19.2 Kilometers.

Hence final answer is:

Speed = 9.6 km/s

Distance traveled in 2 seconds = 19.2 km

Answer:

Speed:                                          9.6 km/s

Distance traveled in 2 seconds: 19.2 km

Step-by-step explanation:

Speed: S=6 miles per second=6 miles/s

S=(6 miles/s)(1.6 km/1 mile)→S=(6)(1.6) km/s→S=9.6 km/s

S=9.6 km per second, that means in 1 second the distance traveled is 9.6 km, then in 2 seconds the distance traveled is 2(9.6 km)=19.2 km or

S=d/t

Distance: d

Time: t

Replacing the known values:

9.6 km/s=d/(2 s)

Solving for d: Multiplying both sides of the equation by 2 s:

(2 s)(9.6 km/s)=(2 s)d/(2 s)

19.2 km=d

d=19.2 km

Answer:

If you want me to solve for b then

b  ≤  − 6

The solution to the given inequality is b≤-6.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is -1.2b-5.3≥1.9.

Add 5.3 on both the sides of an inequality, we get

-1.2b≥7.2

Divide -1.2 on both the sides of an inequality, we get

b≤-6

In  interval notation: (-∞,-6]

Therefore, the solution is b≤-6.

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Look at the picture.

f(x) = g(x) - x for which the graphs intersect.

Answer by YourHope:

HI! :)

Based on the graph below, what are the solutions to the equation f(x) = g(x)?

A. x = -2.4, x = 1.4, x = 3.9!

:)

Answer:

Value of x = 5 .

Step-by-step explanation:

Combined variation states that describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them and varies inversely with others.

Given: x varies directly with y and inversely with z.

i.e [tex]x \propto y[/tex] and [tex]x \propto \frac{1}{z}[/tex]

then we have the combined variation as;

[tex]x = k\frac{y}{z}[/tex] ......[1] where k is the constant variation.

Substitute the value of x =20 when y =8 and z = 4 to solve for k;

[tex]20 = k\frac{8}{4}[/tex]

Simplify:

[tex]20 = 2k[/tex]

Divide both sides by 2 we get;

[tex]k = 10[/tex]

Now, substitute k =10 , y =4 and z = 8 to find x;

Using [1] we have;

[tex]x = 10 \times \frac{4}{8} = 10 \times \frac{1}{2} = 5[/tex]

Therefore, the value of x is, 5

The problem involves the concept of direct and inverse variation. From the given conditions, a constant of variation 'k' is calculated as 1.6. Using this 'k', x is found to be 20 when y is 4 and z is 8.

This question involves the concept of direct and inverse variation. When it is stated that 'x varies directly and inversely with z', it implies a relationship which can be written in the form of y = kx/z, where k is a constant of variation.

To find the constant, we plug in the provided values for x, y, and z into our equation. Hence, using the known values (x=20, y=8, and z=4), our equation becomes 8 = 20k/4. Simplifying this gives us k = 1.6.

Now, to find the value of x when y=4 and z=8, we substitute these into the equation giving us 4 = 1.6x/8. Solving for x, we find that x = 20.

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Answer:

No, there is not enough water.

Step-by-step explanation:

The water bottle holds 24.5  and there is 3/5 of it.

3/5 of 24.5 is 14.7 ounces

You want to fill three glasses with 5 ounces each. Multiply 3 x 5 which gives you 15.

14.7 is less than 15

Subtract 15 from 14.7 and you'll have a negative or not enough so no, it cannot fill three glasses with 5 each.

Answer:

The area of the rectangle is 9.

Step-by-step explanation:

The first thing to take into account is that the area of a rectangle is obtained by multiplying its length and width.

[tex]area=length\times width[/tex]

The problem says that the length is [tex]\sqrt[3]{81}[/tex] and the width is [tex]3^{\frac{2}{3}}[/tex]. So, to find the area we must replace the values of length and width into the previous expression.

[tex]area=length\times width[/tex]

[tex]area=(\sqrt[3]{81})\times (3^{\frac{2}{3}})[/tex]

The previous seems to be difficult but with a little of manipulation we can get a result without a calculator.

First step: the term [tex]\sqrt[3]{81}[/tex] could be written as exponential expression.

[tex]area=(81^{\frac{1}{3}})\times (3^{\frac{2}{3}})[/tex]

Second step: the term [tex]3^{\frac{2}{3}}[/tex] could be written in other way.

[tex]area=(81^{\frac{1}{3}})\times ((3^2)^{\frac{1}{3}})[/tex]

Third step: in the same way, the term [tex]81^{\frac{1}{3}}[/tex] could be written in other way taking into account that [tex]81=9^2[/tex].

[tex]area=((9^2)^{\frac{1}{3}})\times ((3^2)^{\frac{1}{3}})[/tex]

Forth step: the two terms must have the same base to apply other exponential rules; for example, the base could be 9.

[tex]area=(9^{\frac{2}{3}})\times (9^{\frac{1}{3}})[/tex]

Fifth step: as both terms have the same base, we must add the exponents and simplify the expression.

[tex]area=9^{\frac{2}{3}}\times 9^{\frac{1}{3}}[/tex]

[tex]area=9^{\frac{2}{3}+\frac{1}{3}}[/tex]

[tex]area=9^{\frac{3}{3}}[/tex]

[tex]area=9^1[/tex]

[tex]area=9[/tex]

Thus, the area of the rectangle is 9.

Answer:

32

Step-by-step explanation:

To find the number of students in the class, use the equation 3/4x = 24 and solve for x.

To find the number of students in the class, we can set up the equation 3/4x = 24, where x represents the total number of students in the class.

To solve for x, we need to isolate it. We can do this by multiplying both sides of the equation by the reciprocal of 3/4, which is 4/3.

3/4x * 4/3 = 24 * 4/3

x = 32

Therefore, there are 32 students in the class.

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Answer:

$24

Step-by-step explanation:

So, Basically you multiply 4 times 6 because you have 4 tickets that cost $6

and you would get 24 and add a dollar sign you should be good.

Answer:41% i think i am pretty sure

Step-by-step explanation:

don't have one

Answer:

22 residents per square mile is the correct answer.

Step-by-step explanation:

One way to find the answer is the following:

The first number to be considered is 425, which is the total amount of square miles.

The second one is 9,350 that represents the amount of residents.

To find the answer, we have to perform the following calculation:

9350%425=22, which is the correct answer.

Step-by-step explanation:

hahaha have a great weekend and happy birthday to you i q and happy birthday really want to get together

Answer:

Each jar has 12/7 cups of blueberries.

Step-by-step explanation:

To find out how many cups of blueberries per jar, we take the number of cups of blue berries and divide by the number of jars

12 cups/7 jars

12/7 cups of blueberries per jar

Each jar has 12/7 cups of blueberries.

Answer:

Step-by-step explanation:

Answer:

one that fits

Step-by-step explanation:

#Bird+10 so #dog=2(#birds+10)

Answer:

We are gonna called birds [tex]x[/tex] and dogs [tex]y[/tex]. So, if pet store had 10 more birds the number of dogs would be double, this means that:

[tex]y=2(x+10)[/tex]

In the expression we have 10 more birds [tex]x+10[/tex], and the number of dogs is the double of these birds, which give us the expression.

So, the range of values would be:

If there are 10 birds, there would be 20 dogs.

If there are 11 birds, there would be 22 dogs.

If there are 12 birds, there would be 24 dogs, and so on...

13 birds, 26 dogs.

14 birds, 28 dogs.

All these results are given by the expression we found.

Answer:

x = 3

Step-by-step explanation:

m < T = m < R  (Because they are opposite angles of a parallelogram). Therefore:-

40x + 2 = 122

40x = 120

x = 120/40

x = 3

Parallelogram is the closed shaped quadrilateral which has opposite site equal and the opposite angle are equal. The value of the x is 3 units.

For the parallelogram angle T is (40x+2) degrees.

The angle R is 122 degrees.

To solve this the it should be known about the angle of the parallelogram.

Parallelogram is the closed shaped quadrilateral which has opposite site equal and the opposite angle are equal.

As in the given figure the angle T and angle R is the opposite angle. Thus angle T and angle R will be equal to the each other. Thus,

[tex]\angle T= \angle R[/tex]

Put the values of the angle in the above equation. Thus,

[tex]40x+2=122[/tex]

[tex]40x=122-2[/tex]

[tex]40x=120[/tex]

[tex]x=\dfrac{120}{40}[/tex]

[tex]x=3[/tex]

Hence the value of the x  is 3.

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Answer:

256

Step-by-step explanation:

4(7)^2 + 30(2)

196 + 60 = 256

Answer:

x = 1 , y = 1 and z = 0

Step-by-step explanation:

-2x+2y+3z=0    ------(1)

-2x-y+z=-3     --------(2)

2x+3y+3z=5    ---------(3)

To find the values of x,y and z

(3) - (2)⇒ 2y + 4z = 2

y + 2z = 1   --------(4)

(1) - (2)⇒ 3y +2z =3   ---(5)

(5) - (4)⇒ 2y = 2

y = 1

Substituting the value of y in (4) we get z =0

Substituting the value of y and z  in (1) we get x = 1

Therefore x = 1 , y = 1 and z = 0

Hello there!

An equation to model this situation is 11 - 4n = 3.

The unknown number has a value of 2.

Okay, so let's start by breaking down the question - we'll use n to model the unknown number.

The difference of 11 and 4 times a number equals 3

This means we are using subtraction.

The difference of 11 and 4 times a number equals 3

This means the numbers we are subtracting are 11 and 4n. (11 - 4n)

The difference of 11 and 4 times a number equals 3

This means our equation is equal to 3. (11 - 4n = 3)

Now we solve for N.

11 - 4n = 3

Start by subtracting 11 from both sides to work to isolate N.

11 - 11 - 4n = 3 - 11

-4n = -8

Next, divide both sides by -4 to finish isolating n.

-4/-4n = -8/-4

n = 2

I hope this helped you and have a great day!

The number in the equation is 2, as that when multiplied by 4 results in 8, and when subtracted from 11 gives 3.

The question is looking for a number that, when multiplied by 4 and subtracted from 11, equals 3. We can represent this with the equation 11 - 4x = 3. To solve for x, we first move 4x to other side by adding 4x to both sides. This gives us 11 = 4x + 3. Then, we subtract 3 from both sides which gives us 8 = 4x. Finally, to solve for x, we divide both sides by 4. Therefore, x = 8 / 4 = 2.

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6b < 24    divide both sides by 6

b < 4

4b + 12 > 4     subtract 12 from both sides

4b > -8    divide both sides by 4

b > -2

Answer:

[tex]6.48\times 10^{2}[/tex] millimeters.  

Step-by-step explanation:

We have been given that a leak in a water tank causes the water level to decrease by [tex]3.6\times 10^{-2}[/tex] millimeters each second.

To find the decrease in water level in 5 hours let us multiply water decrease in one second by number of seconds in 5 hours.

[tex]\text{The decrease in water level in the tank}=3.6\times 10^{-2} \times 1.8\times 10^4[/tex]

Using the exponent product rule let us add the exponents with same base (10).

[tex]\text{The decrease in water level in the tank}=3.6 \times 1.8\times 10^{-2+4}[/tex]

[tex]\text{The decrease in water level in the tank}=3.6 \times 1.8\times 10^{2}[/tex]

[tex]\text{The decrease in water level in the tank}=6.48\times 10^{2}[/tex]

Therefore, the water level in tank decreased [tex]6.48\times 10^{2}[/tex] millimeters in 5 hours.

The equation that expresses a mathematical rule or relationship is called a formula.

A formula in mathematics is an assertion of a fact, rule, or principle using mathematical symbols. Equations, equalities, identities, inequalities, and asymptotic expressions are a few examples of formulae.

Few examples of formulae are:

(a + b)^2 = a^2 + b^2 + 2ab

(a - b)^2 = a^2 + b^2 - 2ab

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

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Answer:

0.375 or 37.5%

Step-by-step explanation:

To do this you divide 8 by 3 because he has 3 colored socks out of 8 socks.

Answer:

C, 17.3

Step-by-step explanation:

Mean is the average of the numbers. To get the mean, add all the numbers up, and divide them by how many numbers there were. Let's do that.

(16.8 + 12.3 + 19 + 17.5 + 18.2 + 17.5)/6

Simplify

101.3/6

Simplify.

~16.88

The closest estimate to that is C, 17.3

Answer:

You ate 8 jellybeans a day

Step-by-step explanation:

60-4=56

56/7=8

The student ate 8 jelly beans per day, calculated by subtracting the number of jelly beans left from the original amount and dividing by the number of days.

To determine how many jelly beans were eaten each day, we can subtract the number of jelly beans left in the bowl from the original amount and then divide by the number of days that have passed.

If there were originally 60 jelly beans and now there are only 4 left, then 60 - 4 jelly beans have been eaten.

Over the course of 7 days, this amount should be divided by 7 to find the daily consumption.

= 60 jelly beans - 4 jelly beans = 56 jelly beans have been eaten in total.

To find the number eaten per day: 56 jelly beans / 7 days

= 8 jelly beans per day.

Therefore, 8 jelly beans were eaten each day.

Answer:

116.1

Step-by-step explanation:

If you round each decimal to the nearest tenth it would be 26.7 + 89.4 because you round up if it is 6 and above and round down for 5 and below. The rest is just simple addition.

Answer:

The age of Cassandra is 32 years and Seymour is 64 years old.

Step-by-step explanation:

Let the age of Cassandra be x.

The age of Seymour = 2x

If 16 is added to Cassandra’s age and 16 is subtracted from Seymour’s age, their ages will be equal.

x + 16 = 2x - 16

2x - x = 16 + 16

x = 32 years

x = 32 years

The age of Seymour = 2x =  2 × 32 years = 64 years

The age of Cassandra is 32 years and Seymour is 64 years old.