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3 years ago

What is the awnser to 23 56/6 - 78 65/6

Mathematics

2 answers:

Lilit [14]3 years ago

4 0

The answer is 32 1/3 . PS. I checked in a caculator

lukranit [14]3 years ago

3 0

-56 $\frac{1}{2}$ is your answer

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Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%

bazaltina [42]

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

Original salary; 1500

Raise; 20%

a. convert the raise as a percent into a decimal, then add 1

20% = 0.2

0.2 + 1 = 1.2

b. multiply the number by the original salary

1.2 * 1500

1800

8 0

3 years ago

Read 2 more answers

The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?

daser333 [38]

Answer:

$d=\frac{3}{2}=1.5$

Step-by-step explanation:

We have the function:

$y=a(x-2)(x-1)$

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are (x-2) and (x-1).

Therefore, our roots/zeros are x=1, 2.

So, the average of them are:

$d=\frac{1+2}{2}=3/2=1.5$

Therefore, regardless of the value of a, the minimum/maximum value will occur at x=d=1.5.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

$y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a$

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

$x=-\frac{b}{2a}$

So, we will substitute -3a for b and a for a. This yields:

$x=-\frac{-3a}{2a}=\frac{3}{2}=1.5$

Confirming our answer.

4 0

3 years ago

You are planning to invest $5000 in an account earning 9% per year for retirement. a. If you put the $5000 in an account at age

ICE Princess25 [194]

Answer:

A).Amount = $218250

B). Amount = $88700

Step-by-step explanation:

A) .$5000 in an account at age 23, and withdraw it 42 years

Number of years t= 42 years

Principal P = $5000

Rate r= 9%

Number of times compounded n= 42

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

A= 5000(1+0.09/42)^(42*42)

A= 5000(1+0.002143)^(1764)

A= 5000(1.002143)^1764

A= 5000(43.65)

A= 218250

Amount = $218250

B).waits 10 years before making the deposit, so that it stays in the account for only 32 years

Number of years t= 32 years

Principal P = $5000

Rate r= 9%

Number of times compounded n= 32

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

A= 5000(1+0.09/32)^(32*32)

A= A= 5000(1+0.0028125)^(1024)

A= 5000(1.0028125)^1024

A= 5000(17.74)

A= 88700

Amount = $88700

5 0

3 years ago

What else would need to be congruent to show that ABC =XYZ by SAS? Given: AB=XY A=X

Sati [7]

ABC = XYZ by SAS

AB = XY - Side

A = X - Angle

So you want to find another congruent side.

Removing the taken possible side, two sides can be congruent.

Either :

BC = YZ

OR

AC = XZ

5 0

3 years ago

Read 2 more answers

Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and t

DerKrebs [107]

Isolate one variable in the system of equations. Use substitution to create a one-variable equation. Then, set the quadratic equation equal to zero and find the discriminant. If the discriminant is negative, then there are no real number solutions. If the discriminant is zero, then there is one real number solution. If the discriminant is positive, then there are two real number solutions.

4 0

3 years ago

Read 2 more answers