Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0. 8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1. 12p. Using this information, which of the following represents the final price of a gaming system, with the discount and taxes applied? g[c(p)] = 0. 896g c[p(g)] = 0. 896g g[c(p)] = 1. 92p c[p(g)] = 1. 92p.

Answer:

41.38%

Step-by-step explanation:

A= P(1+in)

7540 = 1749.28 + 13994.25i

5790.72= 13994.25i

i=0.41379×100

i=41. 38%

Answer:

16, 21

Step-by-step explanation:

The phrase "no more than" implies upper limit. The correct choice for food budget is: Option D. No more than $60 can be spent on food.

Suppose that you had initial amount as A.

Let you deduce B, C, and D from it.

The remaining amount is obtained by subtraction.

Thus,

Remaining amount  = A - (B + C + D) = A - B - C - D

For the given case, the budget left for food is the remaining amount after all the expenses are reduced from the income.

Income = $750

Expenses except food: $20 + $75 + $85 + $260 + $250 = $690

Thus, budget left is $750 - $690 = $60

This remaining budget is left. The person can spent either full of it on food or less than it, but cannot spend more than it as that person doesn't have more than $60 left.

Thus:

Food budget is no more than $60.

or

Food budget ≤ $60

Thus,

The correct choice for food budget is: Option D. No more than $60 can be spent on food.

Learn more about inequality here:

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Answer:

Step-by-step explanation:

Angle 1 is 90 - 34 = 46 deg.

angle 2 is 90 deg.

angle 3 is 34 deg.

angle 4 is also 46 deg.

Answer:

y= -2x+2

Step-by-step explanation:

Slope intercept form is y=mx+b.

To write this equation in slope-intercept form, we must isolate y.

2x+y=2

Subtract 2x from both sides

y= -2x+2

Answer:

Although it would be great to see the picture of your problem, Acute angles are usually smaller than a right angle. A right angle is half of a straight line. A straight line is exactly how it sounds. An obsute angle is bigger than a right angle, so it has a higher degree.

Answer:

-96

Step-by-step explanation:

when there are two subtraction signs it is basically a plus sign

so

___ + 99 = 3

then you can subtract 99 from both sides

___ = -96

your answer is -96

Answer:

the domingo of a grapa consiste of all the input vales show on the x-axis the rango is the set of posible output vales which are show on the y-axis

Solution:

Given:

Solving using Pythagoras theorem~

Now, solve for perimeter by substituting into the term '4s'.

Hence, the perimeter of the square is 60 units.

Answer:

An example would be... slope intercept form is y=mx+b m being the slope b equal the y-intercept. so an equation would be y=3x+7 3 is the slope and 7 in the y-intercept. I am giving you this way because i do not know what points the graph are going through. And do not know what the graph looks like.

Answer:

30

Step-by-step explanation:

Since we have five numbers and their mean is 16 as we all know that  

mean = summation of total numbers / summation of  total number of terms

Mean = 16 for 5 numbers

sum =  16 x 5 = 80( sum of the  five terms)

when two extra numbers are added, it then becomes 7 numbers . since the numbers are unknown we then represent each numbers with the X and Y

New sum = 80 + x + y

new number of terms = 7

new mean = 20

20 =  80 + x + y

             7                    we cross multiply to get the unknown values

20 x 7  =  80 +  x + y    ,   140  = 80 + x + y

we use y as subject of the formula to get x

140 - 80 + x =  y

60 +  x = y,   y = 60 + x

we input y = 60 + x into the equation (140= 80 + x + y) to get x

140 = 80 + x  + 60 + x    ,        140 = 80 + 60 + x  + x

140  =  140 + 2x   ,         140 -140  = 2x

0 = 2x   ,  divide both sides by 2 to get x

x = 0

we then input x = 0 into the equation to get y

140 - 80 + x = y

140 - 80 + 0 = y   ,      60 + 0 = y

y  =  60

To find the mean of the two extra numbers,  we then use the above formula for finding mean.

60 + 0 / 2   =  60 / 2 =30

mean = 30.

Answer:  x = -20

Step-by-step explanation:

Answer:

  93

Step-by-step explanation:

Add 36 to both sides of the equation:

  36 -36 + ___ = 36 +57

  0 + ___ = 93

  ___ = 93

The integer 93 goes in the blank.

Answer: x = 120 y = 25 z = 35

Step-by-step explanation:

z = 35 because of the Z rule

y = 25 because y + 35 = 60

x = 120 because of the C rule

Sorry if you don't understand, I don't know how to explain the reason to the answers

Answer:

42.8

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

SOO SORRY I EDITED THIS BC A WAS WRONG I MISREAD

if 24 cards = $12, 1 card = $2 (24 / 12)

dozen = 12

if half of 24 is 12, and 24 cards cost $12, half of 12 is 6. same goes for the price. $12 / 2 = 6.

Answer: B:2.5

Step-by-step explanation: divide the two numbers to find the answers

Answer:

B is the answer 125,50

Step-by-step explanation:

Please mark brainlyist

Answer:  [tex]y = 3\sin\left(\frac{x}{3}\right)\right)+2\\\\[/tex]

This is the same as writing y = 3sin(x/3) + 2

=====================================================

Explanation:

The template for a sine function is

[tex]y = A\sin\left(B\left(x-C\right)\right)+D\\\\[/tex]

where,

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

The highest point is at y = 5 and lowest is at y = -1. This is a gap of 6 units, which cuts in half to 3. The amplitude is 3 meaning that A = 3.

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

One peak or highest point occurs when x = 3pi/2

The next peak over is at x = 15pi/2

This is a gap of (15pi/2) - (3pi/2) = 12pi/2 = 6pi units

The period is T = 6pi which leads to B = 2pi/T = 2pi/6pi = 1/3

In short, B = 1/3

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

We don't have to worry about the phase shift, so C = 0.

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

The midline is the average of the highest and lowest y values.

D = (5+(-1))/2 = 4/2 = 2

This means D = 2.

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

In the previous sections, we found the following

This means we go from

[tex]y = A\sin\left(B\left(x-C\right)\right)+D\\\\[/tex]

to

[tex]y = 3\sin\left(\frac{1}{3}\left(x-0\right)\right)+2\\\\y = 3\sin\left(\frac{x}{3}\right)\right)+2\\\\[/tex]

which is the final answer.

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

Extra info:

If you wanted, you could use a cosine function. This is because any cosine function is a phase shift of a sine function. But that greatly complicates things and sine is better suited here.

Answer:

214.6

Step-by-step explanation:

First, split 7.4 into number, this makes it easier later.

29*7=203

0.4*29=11.6

Next add them up for your total.

203+11.6=214.6

Answer:

214.6

Step-by-step explanation:

29x7.4=214.6

Answer: 1. 55 ft   2. 10 ft. 3.3 in.

Step-by-step explanation:

For question 9, you need to understand that the angle on the left is equal to the one on the right from the mirror priniciple. Now let's say the height of the dinosaur is x ft. We would get the equation 5.5/4 = x/40 and we get that x is 55, thus the height of the dinosaur is 55 ft

For question 10, we use the same similarity principle as we use in question 9 so given that the height of the light pole is h in. we get the equation

h/185 = 62/93

So, h is 123.33(I used a calculator, hope that's fine). Thus the height of the light pole would be 123.33 in. or 10 ft. 3.3 in.

Hope this helps!!!!

The number of turtles they will have after 6 months is =1,893 turtles

Number of turtles owned by Liz every month =

first month = 7

second month= 7×3 = 21

third month = 21× 3 = 63

fourth month = 63 × 3 = 189

Fifth month = 189 × 3 = 567

Sixth month = 567 × 3 = 1701 turtles

Number of turtles owned by Steven every month =

first month = 6

second month = 6 × 2 = 12

third month = 12× 2 = 24

Fourth month = 24 × 2 = 48

Fifth month = 48 × 2 = 96

Sixth month = 192 turtles

Therefore total turtle owned by both Liz and Steven=

1701 + 192 = 1,893 turtles

Learn more about addition here:

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Answer:

Total Surface Area: 65.97 cm²

Lateral Surface Area: 37.70 cm²

Step-by-step explanation:

You can solve for the surface area without the height or you can solve for the height and then find the surface are, either way is easy.

Lets first solve without the height. We will solve the surface area with the radius and slant height.

Total Surface area of cone formula: πr (r + s)

Curved surface are formula: πrs

Substitute the values in the picture with the formula

Slant height: 4

Radius: 3

πr (r + s)

π(3)(3 + 4)

(3.141593)(3)(3 + 4)

=9.424778(3 + 4)

=(9.424778)(7)

=65.973446

65.973446 rounded to the nearest hundredth is 65.97
TSA = Total Surface Area

TSA = 65.97 cm²

Now to find the curved surface area or some people call it the Lateral Surface Area

Formula: πrs

Radius: 3

Slant Height: 4

π(3)(4)

(3.141593)(3)(4)

=(9.424778)(4)

=37.699112

37.699112 to the nearest hundredth is 37.70

CSA = Curved Surface Area

CSA = 37.70 cm²

If you choose to compute the height (h) the you have to know both the radius (r) and the slant height (s):

Formula: height (h) = √s² - r²

Slant height = s = 4

Radius = r = 3

Height = h = ?

Now substitute the values into the formula

h = √s² - r²

h = √4² - 3²

h = √16 - 9

h = √7

h = 2.64575131

Height: 2.64575131 cm

Now it's time to find the surface area and curved surface area, now that you have the height:

Surface area formula given height and radius: πr(r + √(r² + h²))

Substitute the values

Height: 2.64575131
Radius: 3

πr(r + √(r² + h²))

π(3)(3 + √(3² + 2.64575131²))

TSA = (3.141593)(3)(3 + √(3² + 2.64575131²)

TSA = 9.424778(3 + √(3² + 2.64575131²)

TSA = 9.424778(3 + √(9 + 7)

TSA = 9.424778(3 + √(16)

TSA = 9.424778(3 + 4)

TSA = 9.424778(7)

TSA = 65.973446

TSA = 65.97

Next, time to find the Curved surface area:

Formula: CSA = πr√(r² + h²)

CSA = πr√(r² + h²)

Substitute the values into the formula

Radius: 3

Height: 2.64575131

Slant Height: 4

CSA  = πr√(r² + h²)

CSA = π(3)√(3² + 2.64575131²)

CSA = 9.424778√(3² + 2.64575131²)

CSA = 9.424778√(9 + 7)

CSA = 9.424778√(16)

CSA = 9.424778(4)

CSA = 37.699112

CSA = 37.70

So, we can conclude that the Total Surface Area is 65.97 and the Lateral Surface Area is 37.70.

Answer:

The half of 1 1/2 tps would be 3/4 tsp.

Step-by-step explanation:

Hope This Helps

Have a Great Day

Answer:

3/4 tsp

Step-by-step explanation:

give guy above brainliest ig lolz

It appears the graph goes through (0,3) and (5,6)

If so, then you have the correct slope and y intercept.

The formula is [tex]C = \frac{3}{5}n+3[/tex] which is the same as writing C = (3/5)n+3

Don't forget about the parenthesis around the 3/5.

We can verify this by plugging in n = 0 and you should get C = 3.

Also, if n = 5 then it leads to C = 6.

Answer:

25 miles * 1 inch = 25 miles; 25 miles * 2.5 inch = 62.5 miles

Step-by-step explanation:

Hope this helps!!

==================================================

Explanation:

Focus on the first row only. We won't worry about the other stocks.

Convert each of the percentages to decimal form

Then multiply those decimal values with their respective gains or losses.

Use a negative sign to indicate losses.

The last step is to add up each of the results to get the expected value.

-10+0.75+20.25 = 11

The result is positive, so it's a gain rather than a loss.

On average, we expect an $11 gain for stock ABC.

----------

Side note: Thank you for making the screenshot much more clear.

Answer:

$11 gain

Step-by-step explanation:

The total amount need to begin renting the apartment is $2281.

An agreement where a fee is paid for the temporary use of a good, service, or property owned by another is known as renting, sometimes known as hiring, or letting.

We have,

An apartment rents for $665/month.

$95 hookup fee for phone and internet, and $80 TV hookup fee.

So, the total amount

= 665 + 665 + 650 + 126 + 95 + 80

= $2281

Thus, the total amount for rent is $2281.

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Answer:

I guess 3 hours is the answer.

Tips

Answer:

3 hours

Step-by-step explanation:

3 hours is the answer