Jackson deposited $6,000 at 2.8% interest, compounded continuously, when he was 28 years old. How much will be in the account when he is 40 years old if he made no other deposits or withdrawals? Use the
continuous compound interest formula. (Do not use commas.)

Answer:

x²-5x+6 =0

x²-3x-2x+6 =0

x(x-3)-2(x-3)=0

(x-2)(x-3) =0

x-2 =0, x-3 = 0

x=2 , x = 3

x = 2 or 3 answer

Answer:

$19.90

Step-by-step explanation:

Cost at Best Computers

Cost at Val-U-Mart

Money saved

Answer:

it is the third one 1,133.54 in²

Step-by-step explanation:

38÷2=19 = R

19²×3.14 = 1,133.54 in²

Answer:

a on edg

Step-by-step explanation:

i just did the question

The correct set notation for the domain of the function is {x | x ∈ R, x ≠ 3}. Option {x | x ∈ R, x ≠ 3} is the correct answer.

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

In this case, the given function is:

F(x) = (x - 4)/(x - 3)

The function is defined for all real numbers (x ∈ R) except when the denominator (x - 3) becomes zero, as division by zero is undefined.

Therefore, we need to find the value of x that makes the denominator zero and exclude that value from the domain.

The denominator becomes zero when:

x - 3 = 0

x = 3

So, the domain of the function is {x | x ∈ R, x ≠ 3}. This set notation means that the function is defined for all real numbers except x = 3. Thus, the correct set notation for the domain of the function is {x | x ∈ R, x ≠ 3}. Option {x | x ∈ R, x ≠ 3} is the correct answer.

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The complete question:

F(x) = (x - 4)/(x - 3)

Determine the domain of the function in the correct set notation. {x|x ∈ R, x ≠ –3} {x|x ∈ R, x ≠ 3} {x|x ∈ R, x ≠ 2} {x|x ∈ R, x ≠ –2}

Answer:

Step-by-step explanation:

I think we should add all the numbers when you multiply them by 5 then you will get 8.8

The statement (p and (p => q)) => q) is not a contingency because of it evaluating to only true while a contingency statement includes both true values and some false values.

Contingency is a statement in which there are some true and some false values for every value of its propositional variables.

The statement given is (p and (p => q)) => q), or in more symbolic way, it is: ((p ∧ (p → q)) → q)

Now, let we evaluate it for p = False, and q = False.

Then we get:

(p → q) = T (as False implied False)

Now, (p ∧ (p → q))  is F and T which is F

Then, ((p ∧ (p → q)) → q)  is F  → F which is True, or T.

Thus, p = F,and q = F makes  ((p ∧ (p → q)) → q)  = T

Similarly, the truth table for the statement (p and (p => q)) => q) or simply  ((p ∧ (p → q)) → q) is:

p q ((p ∧ (p → q)) → q)

F F T

F T T

T F T

T T T

Since all the values are true, thus, this isn't a contingency.

Thus, the statement (p and (p => q)) => q) is not a contingency because of it evaluating to only true while a contingency statement includes both true  values and some false values.

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Answer:

The answer is number 3 or 7 miles is when the charges in both the taxi cab companies will be equal.

Step-by-step explanation:

Redwood Taxi:

$2.00 + $1.00(6)

 $2.00 + $6.00 = $8.00

Max's Taxi Service:

$5.00 + $0.50(6)

 $5.00 + $3.00 = $8.00

Easier Solution:

Look at the image and see what coordinate both lines cross at. The X coordinate or 7 would be the answer.

Answer:The answer is number 3 or 7 miles is when the charges in both the taxi cab companies will be equal.

Step-by-step explanation:

Redwood Taxi:

$2.00 + $1.00(6)

$2.00 + $6.00 = $8.00

Max's Taxi Service:

$5.00 + $0.50(6)

$5.00 + $3.00 = $8.00

Easier Solution:

Look at the image and see what coordinate both lines cross at. The X coordinate or 7 would be the answer.

Answer:

10920.176064km

Step-by-step explanation:

Circumfrence = 2*pi*radius

radius = diameter/2

r = 3476/2

c=2(pi)r

c=2(pi)(3476/2)

c=10920.176064

[tex]x^2-100\\\\=x^2-10^2\\\\=(x+10)(x-10)\\\\\text{The difference of two squares formula is}~ a^2 -b^2 =(a+b)(a-b),\\\\\text{So, the student did not apply it properly}[/tex]

Answer: 15

Step-by-step explanation:

20 ÷ 4 + (6 x 2) − 2

Start by solving the parenthesis

20 ÷ 4 + (12) − 2

Now using order of operations we know to do division before addition/subtraction

5+12-2

Solve addition/subtraction from left to right

17-2

15

Answer:

A=167⁰, B=13⁰

Step-by-step explanation:

A=167⁰

B=13⁰

I HOPE IT HELPED YOU

Answer:

a° = 167°, b° = 13°

Step-by-step explanation:

since the angles in a triangle add to 180°, we can work out b°

90° (right angle) - 77° = 167°

180° - 167° = 13°

since the angle of a straight line is also 180°, a° would be 180° - 13° which is 167°.

Answer:

-23

Step-by-step explanation:

15 + 2n = -31

15 + 2n - 15 = -31 - 15

2n = -46

n = -23

The change that will occur to the mean, median, mode of the data matched as follows:

1. e

2. b

3. d

4. a

5. c

To find the mean, the sum of all the values is divided by the number of values.

Given the data, 90, 85, 35, 70, 67, 76, 90, 79, 94, 100, 87, 61, 56, 80, 67, 65, therefore:

1. 35 is an extreme value, so it is an outlier. If we remove 35, the greatest change will be on the mean. (e)

2. If we remove 90, 67 will have the highest frequency. This means the mode of the data will change to 67. (b)

3. If 76 is removed from the data, the median of the data would be 79. (d)

4. If we remove 100, the range of the data would be, 94 - 35 = 59. (a)

5. If we remove 94, the mean of the data = 1108/15 = 73.87

This means the mean of the data will change to 73.87 if we remove 94. (c)

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Answer:

a. 1

Step-by-step explanation:

[tex]\frac{x+2}{x} =\frac{6}{2} =3[/tex]

The ratio is 1:3

[tex]x+2=3x[/tex]

[tex]2=3x-x\\2=2x\\[/tex]

x = 2/2 = 1

Hope this helps

Answer:

y=5x-5

Step-by-step explanation:

The slope of the graph is 5 and the Y intercept is (0,-5). Plug into slope intercept form : y=mx+b to get the equation.

Answer:

22.5 lbs

Step-by-step explanation:

the four heaviest melons are 5 1/2, 5 1/2, 5 1/2, and 6 pounds

when you add those together

5.5 + 5.5 + 5.5 + 6

you get

22.5 lbs

Answer:

The relative minimum is (3,-4) and the relative maximum is (-2,1)

Step-by-step explanation:

The first step is to take the derivative of f(x)

By using the power rule which is d/dx x^n=nx^n-1 you will find that the derivative is 6x^2-6x-12

The next step is to set the derivative = to 0 and by doing that you will obtain x being equaled to -2 and 3

Put -2 and 3 on a sign chart and determine the behavior for both of those functions

The outcome of your sign chart should be + - + because of the odd multimplicity of (x-3) and (x+2).

The next step is to find the f(x) values or y values of your two points

By plugging in 3 into f(x), you get -4 and by plugging in -2 into f(x) you get 1

Since there was interval given, I cannot find the absolute extremas of this function.

Answer:

  (d)  240/289

Step-by-step explanation:

The trig identity for the sine of a double angle can be used to find the desired value.

  sin(2θ) = 2sin(θ)cos(θ)

__

The cosine of this 3rd-quadrant angle is negative:

  cos(θ) = -√(1 -(-8/17)²) = -(√(289 -64))/17 = -15/17

Then the desired sine value is ...

  sin(2θ) = 2(-8/17)(-15/17) = 240/289

_____

Additional comment

The attached calculator result comes from the principal value of the arcsine function resulting in a 4th-quadrant angle for negative sine values. Double that angle will still be a 4th-quadrant angle. When the translation is made to the appropriate quadrant, the desired double angle will be a 1st-quadrant angle with a positive sine.

Answer:

Top-left system: (3,5)

Bottom-right

system: (-1,0)

Step-by-step explanation:

One way to solve a system of equations is to graph them. The solution is the point of intersection (where the lines cross). If you need to give the x-value and y-values separately, the first number in the pair is the x and the second number is the y.

Answer:

x=3

Step-by-step explanation:

15 divided by 5= 3

5(3)=15

so x=3

Answer:

24 arrangements.

Step-by-step explanation:

ive done this before

Answer:

Step-by-step explanation:

Answer:

Fracción

3/4

Fracciones equivalentes

6/8

Decimal

0,75

Answer:

3/4.

Step-by-step explanation:

0.75 = 75/100

= 3/4

The slope of the line is -0.8.

The formula for distance  is...

y2−y1                                5−1

______=                       ________    

  x2−x1                            −9− −4

And so when simplified we  get

4

__

-5

Giving us -0.8.

Answer:

—7/3

Step-by-step explanation:

1) Choose two points on it.

like (1,3) and (4,—4)

2) slope is

[tex]slope = \frac{y2 - y1}{x2 - x1} = \frac{3 + 4}{1 - 4} = \frac{7}{ - 3} = - \frac{7}{3} [/tex]

Answer:

-7/3

Step-by-step explanation:

Slope formula:

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

The two points on the graph are (1,3) and (4,-4).

Substitute into the formula:

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

Simplify:

[tex]\frac{-4 - 3}{4 - 1} = \frac{-7}{3}[/tex]

Answer:

The value of the expression is 21

Step-by-step explanation:

You need to plug 5 into z

Expression:

5z-4

5(5) - 4

Notice that 5 shall be multiplied meaning 5 x 5

25-4

= 21

It's 21 since 5 times 5 is 25 subtracted 4 is 21

thought it was something else