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ValentinkaMS [17]
3 years ago
9

At a restaurant you only have $20 to spend on dinner. In addition to the cost of the meal you must pay a 5% sales tax and leave

a 15% tip. What is the most expensive item you can order?
Mathematics
1 answer:
andriy [413]3 years ago
4 0
If you spend $10 on dinner tax is $5 so $15. Then a 15% tip is $2.25 plus $15 is $17.25 spent all together. That leaves you with $2.75 left.
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On a morning of a day when the sun will pass directly​ overhead, the shadow of a 60​-ft building on level ground is 25 ft long.
AysviL [449]

Answer:

The shadow is decreasing at the rate of 3.55 inch/min

Step-by-step explanation:

The height of the building = 60ft

The shadow of the building on the level ground is 25ft long

Ѳ is increasing at the rate of 0.24°/min

Using SOHCAHTOA,

Tan Ѳ = opposite/ adjacent

= height of the building / length of the shadow

Tan Ѳ = h/x

X= h/tan Ѳ

Recall that tan Ѳ = sin Ѳ/cos Ѳ

X= h/x (sin Ѳ/cos Ѳ)

Differentiate with respect to t

dx/dt = (-h/sin²Ѳ)dѲ/dt

When x= 25ft

tanѲ = h/x

= 60/25

Ѳ= tan^-1(60/25)

= 67.38°

dѲ/dt= 0.24°/min

Convert the height in ft to inches

1 ft = 12 inches

Therefore, 60ft = 60*12

= 720 inches

Convert degree/min to radian/min

1°= 0.0175radian

Therefore, 0.24° = 0.24 * 0.0175

= 0.0042 radian/min

Recall that

dx/dt = (-h/sin²Ѳ)dѲ/dt

= (-720/sin²(67.38))*0.0042

= (-720/0.8521)*0.0042

-3.55 inch/min

Therefore, the rate at which the length of the shadow of the building decreases is 3.55 inches/min

8 0
3 years ago
Take some time to fill in your notes, the area that is not shown in this video. Fill in the table with the values you think are
joja [24]

The x-values are the heartbeat(s) and the y-values are the time(s)

<h3>How to determine the x and y values?</h3>

The variables are given as:

Time(s) and Heartbeat(s)

As a general rule, the action that is being done is the independent variable.

The action here is the heartbeat.

So, the x-values are the heartbeat(s) and the y-values are the time(s)

A possible value of this is;

x = 100, y = 60 seconds

So, the ordered pair is (100,60)

When represented as ratio, we have;

Ratio = 60/100

Simplify

Ratio = 0.6 heartbeat per second

Read more about ordered pairs at:

brainly.com/question/8406931

#SPJ1

8 0
1 year ago
Divide: −72 ÷ 9 = A) −8 B) −7 C) −6 D) 7
Lisa [10]

Answer:

-8

Step-by-step explanation:

-72 / 9 = -8

7 0
2 years ago
Read 2 more answers
Using the quadratic formula, what is the value of x for x^2-4+5=0​
PSYCHO15rus [73]

value of x is: x= i and x= -i

Step-by-step explanation:

We need to find the value of x from x^2-4+5=0​ using quadratic formula.

The term is: x^2+1=0​

The quadratic formula is:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\

Where a = 1, b=0,c=1

Putting values:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{0\pm\sqrt{(0)^2-4(1)(1)}}{2(1)}\\x=\frac{\pm\sqrt{-4}}{2}\\x=\frac{\pm2i}{2}\\x=\pm i

So, value of x is: x= i and x= -i

Keywords: Quadratic formula

Learn more about quadratic formula at:

  • brainly.com/question/7361044
  • brainly.com/question/10666510
  • brainly.com/question/1332667

#learnwithBrainly

4 0
3 years ago
BE READY, GAME SHOW
marta [7]

Let the required no. be x

Then the equation is-

(150/100)x = 750

=> x = 750 × (100/150)

=> x = 500

Ans- 750 is 150 percent of 500.

6 0
2 years ago
Read 2 more answers
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