Find the center (h,k) and radius of the circle with the given equation.
x^2+y^2-18x-2y+82=64

Answers

Answer 1
Answer: x^2+y^2-18x-2y+82=64 = (x-9)^2 + (y-1)^2 = 64 = 8^2

Center (9 , 1 )  radius = 8
Answer 2
Answer: x² + y² - 18x - 2y + 82 = 64
                             -82   -82
        x² + y² - 18x - 2y = -28


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Betty deposits ​$300 into an account that earns 5​% interest compounded annually. Teresa deposits the same amount into an account that earns 5​% simple interest. Compare the account balances after 2 years.

Answers

Answer:

Step-by-step explanation:

Considering Betty's account

Initial amount deposited into the account is $300 This means that the principal is

P = 300

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 5%. So

r = 5/100 = 0.05

It was compounded for 2 years. So

t = 2

The formula for compound interest is

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

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

A = 300 (1+0.05/1)^1×2

A = 300(1.05)^2 = $330.75

Considering Theresa's account,

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time

P = 300

R = 5%

T = 2

I = (300 × 5 × 2)/100 = 30

Total amount in Theresa's account after 2 years will be 30 + 300 = $330

Betty would earn more than Theresa. She will earn 330.75 - 330 = $0.75 more than Theresa.

Is 15.07 a rational or irrational numbers

Answers

If a number is rational, it can be written as a fraction. Can 15.07 be written as a fraction? Yes, as 15 7/100, so it is rational.
15.07 is a rational number .

What is the value of x y and z below?

Answers

Answer: Y=76 X=104 Z=104

Step-by-step explanation:

The degree 76 and y are both equal so you add it and it is 152.

Then subtract 360-152 to get 208 and since X and Z are equal you divide and get 104.

In nathan's baseball card collection, 58% of the cards are players from the national league. he has 702 baseball cards. about how many baseball cards are playears from the national league?

Answers

About 407 cards are from the national league.

Can you solve 9 5/9 + 1 1/5

Answers

9 5/9 + 1 1/5

9 + 1 = 10

5/9 + 1/5 = 25/45 + 9/45 = 34/45

10  34/35 is the answer
8   5 /9   +  1  1/5

8 + 1 = 9.        5/9 + 1/5  = (5/9)*(5/5) + (1/5)*(9/9) = 25/45 + 9/45

= (25 + 9) /45 = 34/45

=  9      34/45

You are working in a hospital supply room and make $13.65 an hour. The union negotiates a new contract giving each employee a 4.3% cost of living raise. What is your new hourly rate?

Answers

The new hourly rate will be $14.196 per hour.

What is a mathematical function, equation and expression?

  • function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
  • expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
  • equation : A mathematical equation is used to equate two expressions.

Given is that you are working in a hospital supply room and make $13.65 an hour. The union negotiates a new contract giving each employee a 4.3% cost of living raise

Assume that the new hourly rate be $[x]. Then, we can write -

[x] = 13.65 + {4% pf 13.65}

[x] = 13.65 + {4/100 x 13.65}

[x] = 13.65 + 0.546

[x] = 14.196

Therefore, the new hourly rate will be $14.196 per hour.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Find the amount of the raise by multiplying 13.65 x 4.3%...

13.65 x .043 = .58695

Round to the nearest cent

.59

So the raise is .59 (59 cents)

Add it to the original salary

13.65 + .59 = 14.24

New hourly wage... $14.24