Employee A makes $1,200 more than Employee B for sales of $100,000.
The earnings of Employee A are:
= Commission rate x Sales
= 6% x 100,000
= $6,000
The earnings of employee B are:
= Commission on first $80,000 + Commission on anything above $80,000
= (4% x 80,000) + (8% x (100,000 - 80,000)
= 3,200 + (8% x 20,000)
= $4,800
The difference is:
= Employee A commission - Employee B commission
= 6,000 - 4,800
= $1,200
In conclusion, Employee A makes $1,200 more than Employee B for sales of $100,000.
Find out more at https://brainly.com/question/24691073.
The expression (x2 + 16x + 64) – (x + 8)(x – 4) can be rewritten as k(x + 8). What is the value of k? k =
The value of k in the expression is 12.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To simplify the given expression, we first need to expand the second term using the distributive property:
(x + 8)(x - 4) = x² - 4x + 8x - 32 = x² + 4x - 32
Now we can substitute this expression into the original expression:
x² + 16x + 64 - (x² + 4x - 32)
Simplifying further, we can combine like terms:
12x + 96
Now we can see that the expression can be rewritten as:
12(x + 8)
So the value of k is 12.
Thus,
The value of k is 12.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
HELP please I have a bunch of these and I’m stressing cause I have like 50 tests tomorrow
If the following two triangles are similar, find X.
Show work please
The cooking time for a ham is 2/5 of an hour for each pound. A.) How long should you cook a ham that weighs 12 3/4 pounds? B.) Dinner time is 4:45 pm. What time should you start cooking the ham?
To cook a 12 3/4 pounds ham which requires 2/5 of an hour for each pound, it will take approximately 5.1 hours. If dinner is at 4:45 pm, you should start cooking around 11:39 am.
Explanation:The subject of your question is Mathematics. To solve this problem, let's understand first that the cooking time for a ham is 2/5 of an hour for each pound. This means that for each pound of ham, it should be cooked for 2/5 hour.
A.) To find how long you should cook a ham that weighs 12 3/4 pounds, you need to multiply that weight by 2/5. (12 3/4) * (2/5) ≈ 5.1 hours. So, you would need to cook the ham for approximately 5.1 hours.
B.) If dinner time is at 4:45 pm, and you know that the ham takes about 5.1 hours to cook, simply subtract 5.1 hours from the dinner time to find out when you should start cooking. 4:45pm - 5.1 hours ≈ 11:39am. Hence, you should begin cooking at around 11:39am to have the ham ready by 4:45pm.
Learn more about Time Calculation here:https://brainly.com/question/20416068
#SPJ12
. Earl purchased a living room set for $3,592 using a 12-month deferred payment plan. The interest rate after the introductory period is 21.80%. A down payment of $275 is required as well as a minimum monthly payment of $112. What is the balance after the introductory period if only the minimum payment is made until then?
Answer:
The required answer is $2839.25.
Step-by-step explanation:
[tex]112\times12=1344[/tex] dollars
Plus down payment = [tex]1344+275=1619[/tex] dollars
Now, compound interest is found as:
[tex]A=p(1+\frac{r}{n})^{nt}[/tex]
p = 3592
r = 21.80% or 0.2180
n = 12
t = 1
Substituting the values in formula:
[tex]A=3592(1+\frac{0.2180}{12})^{12}[/tex]
=> [tex]A=3592(1.018167)^{12}[/tex]
A = $4458.25
So, Balance = [tex]4458.25-1619=2839.25[/tex] dollars
Therefore, the required answer is $2839.25.
Maria was given a 5% raise on her weekly salary of $375.
Select from the drop-down menu to correctly complete the sentence.
A. 0.005(400)
B. 0.05(400)
C. 0.5(400)
D. 5(400)
Please explain your answer so I can understand it Thanks!
Solve the inequality. r + 4 – 2(r – 14) > 0
Triangle ABC is similar to triangle PQR, as shown below:
Which ratio is equal to r:c?
A. c:p
B. p:a
C. r:a
D. q:c
rotate the triangles so r and c line up
when you do that Q=B, a=p, C=R, b=q, A=P
so answer would be B. p:a
we know that
If triangle ABC is similar to triangle PQR
then
the corresponding sides are proportional
so
[tex]\frac{RQ}{CB} =\frac{RP}{AC}= \frac{PQ}{AB}[/tex]
substitute the values
[tex]\frac{p}{a} =\frac{q}{b}= \frac{r}{c}[/tex]
therefore
[tex]\frac{r}{c}[/tex]
is equal to
[tex]\frac{q}{b}[/tex] and [tex]\frac{p}{a}[/tex]
the answer is the option B
[tex]\frac{p}{a}[/tex]
Write a function rule (equation) that represents each table.
How many feet of fencing are need to enclose a triangular lot?
*PLEASE HELP* *BRAINLIEST*
The Smiths want to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room.
What is the area of the area NOT covered by the carpet?
Answer: The required area of the room that is NOT covered by the carpet is 192 ft².
Step-by-step explanation: Given that the Smith wants to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room.
We are to find the area of the room that is NOT covered by the carpet.
We know that the area of a rectangle is given by the product of its length and breadth.
So, the area of the carpet bought by Smith is
[tex]A_c=9\times12=108~\textup{ft}^2,[/tex]
and the are of the room is
[tex]A_r=15\times 20=300~\textup{ft}^2.[/tex]
Therefore, area of the room that is NOT covered by the carpet will be
[tex]A=A_r-A_c=300-108=192~\textup{ft}^2.[/tex]
Thus, the required area of the room that is NOT covered by the carpet is 192 ft².
Cameron is designing a calendar as a fund-raising project for math class. The cost of printing is $500, plus $2.50 per calendar. Write an equation in slope-intercept form that models the total cost of printing the calendars. Cameron estimates that the math class will sell 200 calendars. What will the total cost be?
Giorgio surveyed 45 randomly selected shoppers at the mall and found that approximately 24% believe that the food court needs to be remodeled. To the nearest percent, with a confidence level of 99% (z*-score 2.58), what is the confidence interval for the proportion of shoppers who believe the food court needs to be remodeled? E = z* and C = + E
Answer with explanation:
Number of People Surveyed (S)= 45
Confidence Level = 99%
Percentage of population who believe that food court needs to be remodeled =24 %
→So, 24% of 45
[tex]=\frac{24}{100}\times 45=10.80[/tex]
= 11 people
Probability of population who thinks that food court needs to be remodeled(P)
[tex]=\frac{11}{45}[/tex]
[tex]Z_{99 percent}= 2.58[/tex]
Confidence level for a population is given by
[tex]=P \pm Z\sqrt{\frac{P*(1-P)}{S}}[/tex]
Substituting the values, of Z, P and S in above equation
[tex]=0.25\pm 2.58\sqrt{\frac{0.25*0.75}{45}}\\\\=0.25 \pm 2.58*0.064549\\\\=0.25 \pm 0.17\\\\= 0.25 - 0.17 , 0.25+0.17\\\\=0.08 , 0.42[/tex]
→→0.08 ≤proportion of shoppers who believe the food court needs to be remodeled≤0.42
→→8%≤proportion of shoppers who believe the food court needs to be remodeled≤42%
Given right triangle ABC. To the nearest degree, find the measure of angle B.
Answer:
Step-by-step explanation:
We have the length of AC which is opposite angle B; we also have the length of the hypotenuse. We will use trig here to solve for angle B. The sin ratio is the one that fits.
sin(B) = side opposite / hypotenuse:
[tex]sin(B)= \frac{ 4.8}{ 5.1}[/tex] so
sin(B) = .9411764706
Now we will use the 2nd button on our calculators. This will give us the missing angle value. Press 2nd then sin and you will see on your screen:
[tex]sin^{-1 ([/tex]
Enter that decimal after the open parenthesis and hit "enter" to get
B = 70.25 or 70°
Sarah sold her stock for $56.25 A share, which reflected a ROI of 7.7%. What was the original price of her stock?
graph the function for the given domain. y=2x D:{ -2,0,2,4}
We want to graph the given function for the given domain.
The graph can be seen at the end of the answer.
The given function is:
y = 2*x
The given domain is D: {-2, 0, 2, 4}
To graph this, we need to evaluate the function in the given values of the domain, we will get four points.
y = 2*(-2) = -4
Then we have the point (-2, -4)
y = 2*0 = 0
Then we have the point (0, 0)
y = 2*2 = 4
Then we have the point (2, 4)
y = 2*4 = 8
Then we have the point (4, 8)
Then we need to graph these four points, the graph can be seen below:
If you want to learn more, you can read:
https://brainly.com/question/18806107
what times 8 equals 36
The result of dividing 36 by 8 is 4.5. This means that there is no whole number that when multiplied by 8 equals 36; the closest is 4, giving us 32, with a remainder that results in 4.5 as the exact quotient.
The question the student is asking relates to basic arithmetic multiplication. Specifically, they're looking for a number that, when multiplied by 8, results in 36. To solve for this, we would generally divide 36 by 8.
However, because 36 is not a multiple of 8, we cannot get a whole number as the result. Instead, the closest we can get without going over is 4, because 4 multiplied by 8 equals 32. If we divide 36 by 8, the result is 4 with a remainder, or 4.5 (which can be expressed as 41/2).
The correct approach to find the quotient is to perform the division 36 / 8, which equals 4.5. To understand this better, you can think of it as having 36 objects that you want to divide into groups of 8 and trying to see how many full groups you can make. You would be able to make 4 full groups with 4 objects left over, or you could see it as making 4 and a half groups.
Given: ∆ABC, AB = CB
BD − altitude to AC
P ∈ BD, PB = PC
m∠ABC = 48°
Find: m∠PCD
Answer: The measure of angle PCD is 42 degree.
Explanation:
It is given that in ∆ABC,
AB = CB
BD − altitude to AC
P ∈ BD, PB = PC
∠ABC = 48°
Since the AB and CB are equal therefore by property of isosceles triangle the angle BAC and angel BCA are equal.
According to the angle sum property the the sum of interior angles of a triangle is 180.
[tex]\angle ABC+\angle BAC+\angle BCA=180^{\circ}[/tex]
[tex]48^{\circ}+2\angle BAC=180^{\circ}[/tex]
[tex]\angle BAC=66^{\circ}[/tex]
The altitude BD on AC divides the angle b in two equal parts because triangle ABC is an isosceles triangle.
[tex]\angle PBC=\frac{48}{2}=24^{\circ}[/tex]
Since PB=PC , so triangle BPC is an isosceles triangle.
[tex]\angle PBC=\angle PCB=24^{\circ}[/tex]
From the figure it is noticed that,
[tex]\angle PCD+\angle PCB=\angle BCA[/tex]
[tex]\angle PCD+24^{\circ}=66^{\circ}[/tex]
[tex]\angle PCD=66^{\circ}-24^{\circ}[/tex]
[tex]\angle PCD=42^{\circ}[/tex]
Therefore, the measure of angle PCD is 42 degree.
a dime has the circumference of about 56.27 millimeters. What is the radius of the dime? Round to two decimal places!
Find m < 4 and m < 3
a. If m<7 = 37 , what is in m<4 ?
b. If m<7 = 37 , what is in m<2 ?
c. Describe the relationship between <4 and <8 .
d. Describe the relationship between <3 and <5 .
Answer:
a). m∠4 = 143°
b). m∠2 = 37°
c). ∠4 ≅ ∠8
d). ∠3 + ∠5 ≅ 180°
Step-by-step explanation:
a). Given m∠7 = 37°
Since m∠7 ≅ m∠6 [Vertically opposite angles]
and m∠6 + m∠4 = 180° [Sum of interior angles formed by parallel lines l, m and transverse.]
Therefore, 37°+ m∠4 = 180°
m∠4 = 180 - 37
= 143°
b). Since m∠6 ≅ m∠2 [Corresponding angles]
and m∠6 ≅ m∠7 [Vertically opposite angles]
Therefore, m∠2 ≅ m∠6 ≅ m∠7 ≅ 37°
c). ∠4 ≅ ∠8 [Corresponding angles]
d). ∠3 + ∠5 ≅ 180° [Interior angles of parallel lines m, l and a transverse].
Using the formula r = d/t where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you travel to cover 337.5 miles in 4.5 hours?
Answer:
75 miles/hour
Step-by-step explanation:
Given information: d=337.5 miles and t=4.5 hours.
The given formula is
[tex]r=\frac{d}{t}[/tex]
where d is the distance in miles, r is the rate, and t is the time in hours.
We need to find the rate for d=337.5 miles and t=4.5 hours.
Substitute d=337.5 and t=4.5 in the above formula.
[tex]r=\frac{337.5}{4.5}[/tex]
[tex]r=75[/tex]
The value of r is 75, therefore we need to travel at the rate of 75 miles per hours to cover 337.5 miles in 4.5 hours.
The Graduate Record Examinations are widely used to help predict the performance of applicants to graduate schools. The range of possible scores on a GRE is 200 to 900. The psychology department at a university finds that the scores of its applicants on the quantitative GRE are approximately normal with mean = 544 and standard deviation = 103. Use your calculator or computer to find the relative frequency of applicants whose score X satisfies the following conditions: (As part of your answer, draw a standard normal curve and shade the area under the curve that represented the answer to the question; do this on scratch paper and provide a one-sentence description for the assignment).
X < 500
To find the relative frequency of applicants whose score X is less than 500 on the quantitative GRE, calculate the Z-score for 500 and find the corresponding area under the standard normal curve.
Explanation:To find the relative frequency of applicants whose score X is less than 500, we need to calculate the Z-score for 500. The formula for calculating the Z-score is: Z = (X - mean) / standard deviation. Plugging in the values, we get Z = (500 - 544) / 103 = -0.427.
Next, we need to find the corresponding area under the standard normal curve for the Z-score of -0.427. Using a calculator or a standard normal table, we find that the area to the left of -0.427 is approximately 0.3356.
Therefore, the relative frequency of applicants whose score is less than 500 is 0.3356, or 33.56%.
Learn more about GRE scores here:https://brainly.com/question/33672285
#SPJ3
A bag contains 6 red balls and blue balls. 4 balls are selected at random. find the probability of selecting 4 red balls.
Another way is to note that there are (104)(104) (“10 choose 4”) ways to select 4 balls from a collection of 10. If 4 of those 10 balls are “special” in some way (in this case, “special” = “red”), then the number of ways to choose 4 special balls is (44)(44). (The factor of (60)(60) is included to convey that, after choosing 4 special balls, we choose none of the 6 non-special balls.) This line of reasoning gives the second expression.
Give three examples of when negative numbers are used in daily life
Mohave Community College reimburses faculty members $.298 cents per mile to go to a workshop. Professor Boes submitted her travel log for a total of 650.11 miles. What reimbursement can Professor Boes expect? (Round to the nearest cent.)
Write an equation in slope-intercept form of the line through point (6, –1) with slope m=4. Question 6 options: y + 1 = 4(x – 6) y = 4x – 1 y = 4x – 25 y + 6 = 4(x – 1)
5x+4x2(2x+7)-6x2-9x+(x+3)(x-8)
Write this expression as a polynomial in standard form
identify a pattern and find the next number in the pattern -0.8, -3.2, -12.8, -51.2
A:-358.4
B:-204.8
C:-51.2
D:4
The next number in the pattern -0.8, -3.2, -12.8, -51.2 is -204.8.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
The numbers are -0.8, -3.2, -12.8, -51.2.
To find the pattern:
Divide the number to find the proportionate rate,
-3.2/-0.8 = 4
-12.8/-3.2 = 4
-51.2 /-3.2 = 4
So, the proportionality relationship is,
number = 4 x previous number.
So, the next number,
-51.2 x 4
= -204.8
Therefore, the number is -204.8.
To learn more about the proportional relationship;
brainly.com/question/28777033
#SPJ2
Three zeroes of a fifth degree polynomial function are 1/3, 4-6i and -2 +11i. Determine the remaining zeroes of the function.
Answer:
Answer is option A
Step-by-step explanation:
Given that there is a fifth degree polynomial. The three zeroes are given as
1/3, 4-6i, -2+11i
Since the polynomial having real coefficients will have imaginary roots occurring in conjugates only we can say that the imaginary roots will have conjugates also as zeroes of the polynomial.
We have one real root 1/3.
The imaginary roots are 4-6i and -2+11i
Hence these conjugates will be zeroes
i.e. [tex]4-6i, -2-11i[/tex] are the other zeroes
Option A is right.