Joshua Kelly estimates that taking some classes would result in earning $11,100 more a year for the next 20 years. Based on an annual
interest rate of 8 percent, calculate the future value of these classes. Use Exhibit 1-B. (Round time value factor to 3 decimal places
and final answer to 2 decimal places.)

By solving a system of equations, we can see that the adult ticket costs $10.

Let's define the two variables:

With the given information, we can write a system of equations:

1*x + 6*y = $52

1*x + 8*y = $66

By taking the difference between the two equations we get:

(1*x + 8*y) - (1*x + 6*y) = $66 - $52

2y = $14

y = $14/2 = $7

Now that we know the value of y, we can find the value of x.

Replacing the value of y in the first equation we get:

1*x + 6*$7 = $52

x = $52 - 6*$7 = $10

With this, we know that the adult ticket costs $10.

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the number that makes it correct is 10

let's write it like this

23+5=x+18

28=x+18

you would subtract 18 from each side to get x

28-18=10

18-18=0

x=10

Employee’s total annual contribution is $1513.75

And, Employee’s monthly deduction is $126.15

Here,

Dorsey Williams has a single plan.

And, His PPO annual premium is $4,325.

His employer pays 65%.

We have to find the Employee’s total annual contribution.

And, Employee’s monthly deduction.

What is Annual contribution?

The amount credited to Account balance after the end of each Plan Year for which the Performance Goals are achieved is called Annual contribution.

Now,

His PPO annual premium is $4,325.

And, His employer pays 65%

Hence,

Employee’s total annual contribution = 4,325 (1 - 65%)

                                                        = 4,325 (35%)

                                                        = 4,325 x 35/100

                                                        = 1513.75

And, Employee’s monthly deduction = 1513.75 ÷ 12 = 126.15

Therefore, Employee’s total annual contribution is $1513.75

And, Employee’s monthly deduction is $126.15

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Answer:

8

Step-by-step explanation:

Order of Operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Parentheses First:

(9 + 3) = 12 and (6 - 7) = -1

12 + 4(-1) = 12 + (-4) = 8

Hey there!

(9 + 3) + 4(6 - 7)

= 9 + 3 + 4(6) + 4(-7)

= 9 + 3 + 24 - 28

= 12 + 24 - 28

= 36 - 28

= 8

Therefore, your answer should be:

8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The distance between (4, 2) and (8, 5) is 5 units.

The distance between two given points can be calculated using the following formula :

Distance, D =  [ ( x2 - x1 )^2 + ( y2 - y1 )^2 ]^1/2

Coordinates of point A = (4,2)

Coordinates of point B = (8,5)

For the above mentioned formula, we get

x1 = 4

x2 = 8

y1 = 2

y2 = 5

Substituting these values in the distance formula, we get

D = [ ( 8 - 4 )^2 + ( 5 - 2 )^2 ]^1/2

=> D = [ ( 4 )^2 + ( 3 )^2 ]^1/2

=> D = [ 16 + 9 ]^1/2

=> D = [25]^1/2

=> D = 5

Therefore, using the distance formula, we get the distance between (4, 2) and (8, 5) as 5 units.

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Answer:

The answer is commutitve

The expression -4x² + 2x - 5(1 + x) is equivalent to the expression - (4x² + 3x + 5).

The equivalent is the expression that is in different forms but is equal to the same value.

The quadratic expression is given below.

⇒ -4x² + 2x - 5(1 + x)

Simplify the expression, then the expression will be given as,

⇒ -4x² + 2x - 5(1 + x)

⇒ -4x² + 2x - 5 - 5x

⇒ -4x² - 3x - 5

⇒ - (4x² + 3x + 5)

The expression -4x² + 2x - 5(1 + x) is equivalent to the expression - (4x² + 3x + 5).

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The given inequality  is never true which means it has no solutions. If an inequality has no actual solution, then there aren't any numbers that might be used to solve it and make the statement true. An inequality can be made true by substituting any real number into it if the solution to the inequality is all real numbers.

Given the expression is 4x ₋ 8 > 1 ₊ 4(x₊3)

first apply the distributive property.

4x ₋ 8 > 1 ₊ 4x ₊ 12

now combine the like terms.

4x ₋ 8 > 4x ₊ 13

Variables should be moved to the equation's left side.

4x ₋ 4x > 13 ₊ 8

combine like terms.

0 > 13 ₊ 8

calculate the sum.

0>21

This is the solution of inequality which has no solutions.

Hence the inequality of the expression is never true.

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The next score should by less than 84 to have an average below 88.

The term average is the sum of all the numbers divided by the total number of values in the set.

Mathematically,

Average = Sum of the observations/number of observations

Now given that,

Scores = 92, 88, 85, 90, and 89

Rounds = 5

Let x be the score the score for next round or sixth round.

So, According to question,

Average < 88

So, Average = Sum of the scores/number of rounds

⇒  Average = (92 + 88 + 85 + 90 + 89 + x)/6

⇒  Average = (444 + x)/6

⇒ (444 + x)/6 < 88

⇒ (444 + x) < 528

⇒ x < 528 - 444

⇒ x < 84

Thus, the next score should by less than 84 to have an average below 88.

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x=62 bec 180-118=62.

Step-by-step explanation:

180=118-x

180-118=x

x=62

Answer:

It would be 1333/1000.

The converse of the conditional statement "If it is sunny, then it is 80° Fahrenheit." is "If it is 80° Fahrenheit, then it is sunny".

Given the conditional statement "If it is sunny, then it is 80° Fahrenheit."

and asked for the converse statement if it exists

converse:

A statement's converse is formed by switching the hypothesis and conclusion. "If two lines do not intersect, they are parallel," is the converse of "If two lines intersect, they are parallel." "If p, then q" is the converse of "if q, then p."

Therefore, the converse of conditional statement is  "If it is sunny, then it is 80° Fahrenheit."

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Answer: A:  If it is sunny, then it is 80° Fahrenheit. The converse is valid.

Step-by-step explanation: Hope that helped!

Answer:

1/6

Step-by-step explanation:

30+20= 50

200+100= 300

you divide 50÷300 and you get 1/6

Answer:

94.8

Step-by-step explanation:

supplementary angle = 180°

180 - 85.2 = 94.8

Answer: 47.4 degrees

Step-by-step explanation:

A=measure of angle

S=Angle A's supplementary angle

Supplementary Angle=180 degrees

A+85.2=S

A+S=180

A+A+85.2=180

2A+85.2=180.0

2A=94.8

A=47.4 degrees

The area of the rectangular garden in terms of a function in x is given by 44x - x²sq. ft.

What is the area of a rectangle?

A rectangle is a closed geometric figure with opposite sides equal to each other. The area of this rectangle is given by the product of its length and width.

Calculating the area of a rectangular garden in terms of a function in x

Let us consider a variable x that denotes the length of a rectangular garden

Given perimeter of a rectangular garden is 88 ft with y as the width of a rectangular garden

Perimeter = 2×(length + breadth)

88 = 2(x + y)

44 = x + y

y = 44 - x

Area of a rectangular garden = xy

= x(44 - x)

= 44x - x² sq. ft

Hence, the area of a rectangular garden in terms of a function in x is given by 44x - x² sq. ft.

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Answer:

Answer is 137.3

Step-by-step explanation:

Since there is one significant digit after decimal, i.e. 2

Therefore, the answer should be rounded off to the nearest tenths digit.

Answer:

350

Step-by-step explanation:

Answer:

70 days

Step-by-step explanation:

Given that,

→ fresh fruit to last 10 days

→ fresh vegetables for 7 days

→ dried insects for 5 days

Then in how many days will they order all three items on the same day?

Then the LCM of 10, 7 & 5 is,

→ 2 × 5 × 7

→ 10 × 7 = 70

Hence, the answer is 70 days.

Answer:

A? maybe because its (5 +6)+7=5

hope it will help

Answer:

The answer is A.

Step-by-step explanation:

a+b=c+d

Given the expression,

11 + 7 = 5 + 13, where a= 11

b= 7

c= 5

d= 13

From the options, taking option A:

(5 + 6) + 7 = 5 + (6 + 7)

5 + 6= 11= a

7 = 7= b

5 = 5= c

6 + 7 = 13= d

Therefore from the comparison above, we can see that option A is the best form of expression that correctly interpretes the given expression

Answer:

Step-by-step explanation:

not sure 6

Answer:

[tex] = 2 + w + 8w \\ = 2 + 9w[/tex]

option C is the solution

Answer:

C. 2+9w

Step-by-step explanation:

Combine Like Terms:

=w+8w+2

=(w+8w)+(2)

=9w+2

Answer:

its 100 ez bro

Step-by-step explanation:

Answer: 100 balloons

Step-by-step explanation:

because it is 100 balloons

Answer:

-8, -7, -5, -4, or 0

Step-by-step explanation:

[tex]\frac{q}{-4} \geq 2[/tex]
[tex]q\geq -8[/tex]
Therefore q has to be greater than or equal to -8.
So q has to be -8, -7, -5, -4, or 0 in the given values.

The equivalent inequality is [tex]q\geq -8[/tex].

If this was helpful pls give me brainliest <3

Divide each number by -4 and if it is greater than 2 then it is on the correct side! For example: -16 Divide it by -4 which is positive 4. And Positive 4 is greater than 2.          

4 > 2     (THE REST OF THE ANSWERS I SOLVED LIKE THIS ARE BELOW)

✔    ❌

-16   -5

-9    -8

-12  -4

-11   -7

       0

Answer: See attached

Step-by-step explanation:

Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.

In this problem we must determine the total amount of snacks used by Landon in a period of a week, which is found by the summing fractions. Then, we must solve the following linear equation:

(3 / 5) · x = x - 25 / 35 - 1 / 7

(3 / 5) · x = x - 25 / 35 - 5 / 35

(3 / 5) · x = x - 20 / 35

x - (3 / 5) · x = 20 / 35

(2 / 5) · x = 20 / 35

7 · x = 10

x = 10 / 7

And the amount of snack used is determined by the following subtraction:

z = (2 / 5) · (10 / 7)

z = 20 /35

z = 4 / 7

Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.

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Answer:

13

Step-by-step explanation:

We can think of this as drawing 3 pairs of each color, and then the next pair will guarantee we have 4 of one color.

This is 3(4)+1=13 pairs.

Step-by-step explanation:

let me see, if I understand this right.

7 pairs of green socks = 14 green socks.

6 pairs of white socks = 12 white socks.

5 pairs of red socks = 10 red socks.

4 pairs of blue socks = 8 blue socks.

in total : 44 socks (or 22 pairs).

the person is pulling socks always 2 at a time. but each sock can be any color.

or are the pairs still connected, and each draw pulls a pair of equal socks ?

and then the question also really is, what is meant by 4 pairs have the same color ? that i find 4 groups of 2 socks each with the save color inside the group (making them pairs), or truly 4 pairs with the same color (e.g. 4 red pairs, or 4 green pairs) ?

if the pairs are still connected, only the second question makes sense.

the worst that can happen in that scenario is drawing

3 pairs of blue socks.

3 pairs of red socks.

3 pairs of white socks.

3 pairs of green socks.

this now like in Baseball : the bases are loaded. any additional runner will cause a score.

because any additional draw must complete one of the groups of 4 pairs.

so, latest after the 4×3 = 12 draws, we get a 13th draw. that gives us 4 equally colored pairs of socks for sure.

so, we need 13 draws.

if each sock is in there individually, and we still want to have 4 pairs of socks all with the same color, then it starts similarly :

the socks get pulled 2 by 2 but that means each drawn pair can have different colors of the individual socks.

in the worst case after drawing 24 socks (12 groups of 2 socks), we have the same situation as in the previous case.

but now, pulling 2 more socks does not guarantee a full set of 4 pairs. we could get 2 different socks that add only half a pair to 2 color groups.

the same with the next pulled group of 2. they fill up the other 2 color groups with half-pairs.

but now the base are loaded. by pulling the next (3rd) additional group of 4, we complete at least one color group with 4 full pairs.

so, we need 12 + 3 = 15 draws to make absolutely sure.

now, if we have individual socks, and want to get 4 pairs of socks that have just the same color inside their pair, we need to think a little bit differently.

after 2 draws (4 socks) we have in the worst case 4 individual socks with different colors.

after the next 2 draws we can be already lucky, but in the worst case we are not but have now either 2.5 full pairs of one color and 3 individual socks, or 2 full pairs in one color, 1 full pair in a second color, and 2 individual socks, or 1.5 pairs in one color, 2×1 full pairs in 2 other colors, and 1 individual sock.

with the next draw in the worst case we could only extend the second case and get 2.5 pairs in one color, 1.5 pairs in the second color and still 2 individual socks.

but now the bases are loaded, and the next draw of 2 socks guarantees that we have 4 real pairs of socks (either 3 and 1 and still 2 individual socks, or 3 and 2 pairs and 2 individual socks, or 2 and 2×1 and wherever the second sock goes, it does not matter, or any other combination where at least one of the individual socks have been combined to a pair.

so, we need

2+2+1+1 = 6 draws.

y= 1/16 is the solution of the equation  where y is [tex]e^{-2ln4}[/tex]

The expression is given to be [tex]e^{-2ln4}[/tex]

The formula is given to be [tex]e^{lnx} =x\\[/tex]

also it is given that ln[tex]e^{x}[/tex]=x

Now to find and evaluate [tex]e^{-2ln4}[/tex]

let y=[tex]e^{-2ln4}[/tex]

taking ln both sides,

ln y = ln[tex]e^{-2ln4}[/tex]

ln y= -2 ln4

ln y= ln 4^-2

Removing ln from both sides,

y = 4^-2

y=1/16

Thus , y= 1/16 is the solution of the equation

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Answer:

Gail spent $4 and Jackie spent $7

Step-by-step explanation:

Let j = Jackie

Let g - Gail

j = 2g -1                  j + g = 11

substitute 2g - 1 for j in the second equation

j + g = 11

2g - 1 +g =11  Combine the g's

3g -1 = 11   Add 1 to both sides of the equation

3g = 12  Divide both sides by 3

g = 4

Plug 4 in for g to find j

j = 2g -1

j = 2(4) -1

j = 8 -1

j = 7

Answer:

$617.25

Step-by-step explanation:

$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25

Answer:$580.50

Step-by-step explanation:

:)

The expression acquired is h(x) = 3.5 sin(1/3x ₊ 4π/3)₊2.5

Given h(x) = a sin(bx ₊ c) ₊ d

The h(x) function intersects its mid line at (₋4π , 2.5)

and has its maximum points at (₋5π/2 , 6)

therefore, x₂ ₋ x₁  = ₋5π/2 ₋ (₋4π)

= ₋5π/2 ₊ 4π

= 3π/2

⇒ 2π/b = 3π/2  4

⇒ 2π/b = 6π

⇒b = 1/3

hence, a = b ₋ 2.5

a = 3.5

now h(x) = 3.5 sin(1/3x ₊ c) ₊ 2.5

x = ₋4π

h(₋4π) = 3.5 sin( ₋4π/3 ₊ c) ₊ 2.5

₋4π/3 ₊ c = 0

c = 4π/3

therefore, h(x) = 3.5 sin(1/3x ₊ 4π/3)₊2.5

hence after solving the equation we get the expression for h(x) as

h(x) = 3.5 sin(1/3x ₊ 4π/3)₊2.5

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