Linear equation

4.5 + 1.5y=24
x-y=4

Answers

Answer 1

Answer: 4.5x + 1.5y = 24 ⇒ 4.5x + 1.5y = 24
1.0x - 1.0y = 4   ⇒ 4.5x - 4.5y = 18
         6y = 6
      6    6
       y = 1
   4.5x + 1.5(1) = 24
   4.5x + 1.5 = 24
      - 1.5 - 1.5
      4.5x = 22.5
   4.5 4.5
       x = 5
      (x, y) = (5, 1)

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Principal: $9,000, annual interest: 3%, interest periods: 12 , number of years: 13

Answers

Answer:

Step-by-step explanation:

P: the principal, amount invested

A: the new balance

t: the time

r: the rate, (in decimal form)

n: the number of times it is compounded.

Ex2:Suppose that $5000 is deposited in a saving account at the rate of 6% per year. Find the total amount on deposit at the end of 4 years if the interest is:

P =$5000, r = 6% , t = 4 years

a) simple : A = P(1+rt)

A = 5000(1+(0.06)(4)) = 5000(1.24) = $6200

b) compounded annually, n = 1:

A = 5000(1 + 0.06/1)(1)(4) = 5000(1.06)(4) = $6312.38

c) compounded semiannually, n =2:

A = 5000(1 + 0.06/2)(2)(4) = 5000(1.03)(8) = $6333.85

d) compounded quarterly, n = 4:

A = 5000(1 + 0.06/4)(4)(4) = 5000(1.015)(16) = $6344.93

e) compounded monthly, n =12:

A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44

f) compounded daily, n =365:

A = 5000(1 + 0.06/365)(365)(4) = 5000(1.00016)(1460) = $6356.12

A mouse population starts with 2,000 mice and grows at a rate of 5% per year. The number of mice after t years can be modeled by the equation, P(t)=2000(1.05)^t. What is the average rate of change in the number of mice between the second year and the fifth year, rounded to the nearest whole number?

Answers

m=2000 (1.05)^2 for 2 years
so m=2205

m=2000 (1.05)^5 for 5 years
so m= approximately 2553

2553-2000
=553

That's your average rate of change in mice between two years and five years.

Find the value of a−b/c−b if a=32, b=8, c=30. Write your answer as a simplified mixed number.Need soon thanks!

Answers

Answer: 1 1/11 or 12/11

Step-by-step explanation: a-b= 32-8 which equals 24. Then it would be c-b which is 30-8 which equals to 22. Then it would be 24/22. You can divide by two on both sides, which would be 12/11. Then as a mixed number, it would be 1 1/11.

Which is equivalent to (−2m + 5n)2, and what type of special product is it4m2 + 25n2; a perfect square trinomial 4m2 + 25n2; the difference of squares 4m2 − 20mn + 25n2; a perfect square trinomial 4m2 − 20mn + 25n2; the difference of squares

Answers

We'll calculate the product:

$(-2m+5n)^2=(-2m+5n)(-2m+5n)\n\n (-2m+5n)^2=(-2m)\cdot(-2m+5n)+(5n)(-2m+5n)\n\n (-2m+5n)^2=[(-2m)\cdot(-2m)+(-2m)\cdot(5n)]+[(5n)\cdot(-2m)+(5n)\cdot(5n)]\n\n (-2m+5n)^2=4m^2-10mn-10mn+25n^2\n\n (-2m+5n)^2=4m^2-20mn+25n^2$

So, the answer is:

$4m^2-20mn+25n^2,~\text{a perferct square trinomial.}$

The concept of the square is applied that is the multiplication of the term itself two times.

The equivalent function of $\rm (-2m + 5n)^2$ is $\rm 4m^2 - 20mn + 25n^2$ .

What is an equivalent function?

The equivalent is the functions that are in different forms but are equal to the samevalue.

Given

(-2m + 5n)² is a function.

To find

The equivalent function of (-2m + 5n)².

We know that this can be written as

(-2m + 5n) x (-2m + 5n)

On multiply, we have

$\rm (-2m + 5n)(-2m + 5n)\n\n-2m(-2m + 5n) + 5n(-2m + 5n)\n\n(-2m)^2 - 10mn -10mn + (5n)^2\n\n4m^2 - 20mn + 25n^2$

Thus, the equivalent function of (-2m + 5n)² is 4m² - 20mn + 25n².

More about the equivalent function link is given below.

brainly.com/question/10498970

Rewrite the following rational expression with a new denominator as indicated. 4/15;90

Answers

90/15 is 6, so you multiply 4 by 6 to get 24, which makes the fraction 24/90

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