MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

Waiter

Step-by-step explanation:

The salary rate of a cashier:

142.5/15=$9.50/hr

The salary rate of a waiter:

200/20=$10/hr

The salary rate of a waiter is higher than cashier so Oscar should spend more hours working as a waiter.

MIDDLE SCHOOL

What's the effective interest rate of an 8% 13-week Treasury bill? Assume it's a $10,000 Treasury bill, and round your answer to the nearest hundredth percent.

Answer:

8.24 %

Step-by-step explanation:

It is given that Interest rate is 8% for 1 year i.e. 52 Weeks.

and they are asking the interest rate for 13 weeks so

there will be total 52/13=4 terms in the year.

Now we know that

the formula for Effective Interest rate is

where

r = The effective interest rate

i = The stated interest rate

n = The number of compounding periods per year

so from above it is clear that i=8% =0.08 and n=4 now after putting all the values in the above formula we will get like this

=1.08243-1

=0.08243

=8.24% (nearest hundredth)

HIGH SCHOOL

Find the length of a line segment with endpoints of –9 and 7. A.

–16

B.

–2

C.

16

D.

26

Simple..............

you have the endpoint -9 and it goes to +7...

so...

If you count all those points from -9 to +7...

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16...

Thus, your answer +16.

you have the endpoint -9 and it goes to +7...

so...

If you count all those points from -9 to +7...

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16...

Thus, your answer +16.

HIGH SCHOOL

A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 60x − 0.5x2, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum?

Answer: maximum revenue is 1800. 60 units need to be manufactured to obtain the maxim.

Step-by-step explanation:

Maximum is the y-value of the vertex. The number of units at the maximum is the x-value of the vertex.

R(x) = 60x - 0.5x² ⇒ R(x) = -0.5x² + 60x ⇒ a = -0.5, b = 60, c = 0

Axis of Symmetry: x = = = = 60

Plug the x-value into the given equation to find the y-value of the vertex:

R(60) = -0.5(60)² + 60(60)

= -1800 + 3600

= 1800

Vertex: (60, 1800)

HIGH SCHOOL

Calculate the slope of the line that passes through the points

(1,3) (3,negative2)

Slope is rise over run or (y₁-y₂)/(x₁-x₂)

(x,y)

(1,3)

(3,-2)

(3-(-2))/(1-3)=(3+2)/(1-3)=5/-2

slope is -5/2

(x,y)

(1,3)

(3,-2)

(3-(-2))/(1-3)=(3+2)/(1-3)=5/-2

slope is -5/2

(1,3), (3,-2)

m=(y2-y1) / (x2-x1) where (x1 = 1) (y1= 3) (x2=3) (y2=-2)

m=(-2-3)/(3-1)

m=-5/2

therefore slope = -5/2

m=(y2-y1) / (x2-x1) where (x1 = 1) (y1= 3) (x2=3) (y2=-2)

m=(-2-3)/(3-1)

m=-5/2

therefore slope = -5/2

MIDDLE SCHOOL

If Bridget needs three hours to paint a room, how much work will she get done in an hour of time?

Answer:

1/3 of the room

Step-by-step explanation:

If she can paint a whole room in 3 hours, she will get 1/3 of the room done in 1 hour because 1 hour is 1/3 of 3 hours.

HIGH SCHOOL

Simplify the expression. y • y–2 • y5

Answer:

Step-by-step explanation:

Since you have a multiplication of several factors, it is necessary to perform multiplication by multiplication.

First, we multiply what is outside the parentheses. Remember that by multiplying the same base, the exponents add up.

Next, the multiplication of the monomial by the binomial is performed. Remember that you must multiply each term of the parenthesis by the monomial.

y^{7} -2y^{6}[/tex]

Since you have the same base "y" you add all the exponents:

So is your answer.

So is your answer.

HIGH SCHOOL

3(9-8x-4x)+8(3x+4)=11

how do I work this out???

Remember PEMDAS is the order of operations. parenthesis,exponents,multiply,divide,add,subtract. so -8x-4x is -12x. now simplified the problem is 3(9-12x) + 8(3x+4)=11 . now I would distribute the numbers before the parentheses and it becomes 27-36x + 24x+32 =11 . now combine like terms. 59-12x =11 . subtract 59 on both sides. -12x=-48. divide -12 on both sides. x=4. :-)

MIDDLE SCHOOL

The graph of f(x) = 0.5x is replaced by the graph of g(x) = 0.5x + k. If g(x) is obtained by shifting f(x) up by 5 units, then what is the value of k? A. k=-5

B. k=-1/5

C. k=5

D. k=1/5

k = 5 is the answer.

What is the shifting of graphs?Suppose g is a function and a > 0. Define functions h and f by

h(x) = g(x) + a and f(x) = g(x) − a.

Then,

The graph of h is obtained by shifting the graph of g up 'a' units

The graph of f is obtained by shifting the graph of g down 'a' units.

The solution to the problemWe are given g(x) = f(x) +k and have been told that g(x) is obtained when we shift f(x) by 5 units.

Using the definition of shifting up in the above section, we can say that g(x)= f(x)+5, and g(x) = f(x) + k and by comparing we can say that k = 5.

Hence the value of k = 5.

Learn more about shifting graphs here

brainly.com/question/2222536

#SPJ2

Answer:

C. k = 5.

Step-by-step explanation:

The graph is moved k ( = 5) units upwards.

MIDDLE SCHOOL

The flag of a country contains an isosceles triangle. (Recap that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 30 degrees more than three times the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180 degrees

Answer:

30°, 30° and 120°

Step-by-step explanation:

Using the information given in the question.

let x be the measure of each congruent base angle , then

the third angle = 3x + 30

Sum the 3 angles and equate to 180

3x + 30 + x + x = 180, that is

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

Thus

The 2 congruent bas angles are each = 30°

The third angle = 3x + 30 = 3(30) + 30 = 90 + 30 = 120°