working as a waiter, Michael earns $6.50 per hour plus tips. last night he received $36.50 in tips and earned a total of $65.75. how many hours did he work

Answers

Answer 1
Answer: Michael worked 4.5 hours. 65.75 - 36.50 = 29.25, therefore, Michael made $29.25 not including tips. 29.25/6.50 = 4.5

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Kristen opened a savings account and deposited $800.00. The account earns 7% interest, compounded annually. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?

Answers

Answer: she will be able to spend $980 on the bike.

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $800

r = 7% = 7/100 = 0.07

n = 1 because it was compounded once in a year.

t = 3 years

Therefore,.

A = 800(1 + 0.07/1)^1 × 3

A = 800(1 + 0.07)^3

A = 800(1.07)^3

A = $980

A rectangular field has a length of 105 feet and a width of 60 feet. On a map of the field the width was drawn as 4 inches. What measurement should represent the length?

Answers

7 inches represents 105 ft on the map

A circle has a radius of 12 cm. If the radius of the circle is increased by a factor of 7, how many times larger will the circle's circumference be?

Answers

Considering it's own equation, the circumference of the circle will be increased by a factor of 7.

What is the circumference of a circle?


The circumference of a circle of radius r is:

C = 2\pi r

Since the radius is elevated to power 1, if it is multiplied by a factor of 7, the circumference of the circle will also be increased by a factor of 7.

More can be learned about the circumference of a circle at brainly.com/question/20489969

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How to solve this
The minimum value of f is f×3=-5 and f×1=2

Answers

F ========== 2....................

Final answer:

The question provides two equations involving the variable f. By isolating f in these equations, we derive two possible values for f. The minimum value for f is the smaller of these two derived values, which is -5/3.

Explanation:

To solve this we can use the principle that if two different values of f multiply with different numbers to equal different constants, we can set up a system of equations to find those values of f.

The given equations are f×3=-5 and f×1=2. Let's denote f×1 as f₁ and f×3 as f₂.

  • From f×1=2, we get f₁=2/1=2
  • From f×3=-5, we get f₂=-5/3

So, the minimum value of f, that is f_min would be the smaller of f₁ and f₂. As -5/3 is smaller than 2, f_min = -5/3.

Learn more about Solving System of Equations here:

brainly.com/question/31653301

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16. Dilakukan pengukuran volume benda yangberbentuk tabung. Jika jari-jari tabung =
0,40 m dan tinggi tabung = 50 cm, volume
tabung tersebut adalah ....
A. 0,2512 m³
B.
EVC.
C.
D.
2,512 m³
25,12 m³
251,1 m³

Answers

It will be letter A I believe

What is seven point five divided by one hundred

Answers

7.5/100
= 0.075.

The final answer is 0.075~