Answer:
$446
Step-by-step explanation:
$150
10% = 15
40% = 60
$210
$175
10% = 17.5
30% = 52.5
5%=8.25
$236
add it all up
$446
Hal and Sal need to make $500 in sales to have their pay equal. Their gross pay will be $350 each.
Explanation:To find the amount of sales that Hal and Sal need to make their pay equal, we can set up an equation.
Let's say the amount of sales that Hal needs to make is x.
Hal's base wage is $150 per week, and he also earns a 40% commission on total sales. So his total pay can be expressed as:
Total Pay = Base Wage + Commission
Total Pay = $150 + (40% * x)
Similarly, Sal's total pay can be expressed as:
Total Pay = $175 + (35% * x)
To find the amount of sales that makes their pay equal, we can set these two equations equal to each other:
$150 + (40% * x) = $175 + (35% * x)
Now we can solve for x:
$150 + 0.4x = $175 + 0.35x
0.4x - 0.35x = $175 - $150
0.05x = $25
x = $25 / 0.05
x = $500
So, to make their pay equal, Hal and Sal both need to make $500 in sales.
To find their gross pay, we can substitute the value of x into the equations for their total pay:
Hal's Gross Pay = $150 + (40% * $500) = $150 + $200 = $350
Sal's Gross Pay = $175 + (35% * $500) = $175 + $175 = $350
The area of a triangular block is 100 square inches. If the base of the triangle is twice the height, how long are the base and the height of the triangle?
Answer:
Let b = base of triangular block
h = height of triangular block
b = 2h
(1/2)(2h)(h) = 100
h² = 100
h = 10 inches, b = 20 inches
Jeffery is trying to decide between two investing account plans. An accountant
told Jeffery that Plan A offers a semi-annual compounded interest rate of 2.75%,
while Plan B offers 5.8% interest compounded annually. Which is the better
plan? Explain.
Plan B is the better investment option due to its higher effective annual interest rate compared to Plan A.
Explanation:The better plan is Plan B.
To compare, we can look at the effective annual interest rates for both plans. Plan A with semi-annual compounding has an effective annual interest rate of 2.75% x 2 = 5.5%. Plan B with annual compounding has a higher effective annual interest rate of 5.8%.
This indicates that Plan B would generate more returns over the same period compared to Plan A.
If a central angle measures 87°, then its arc will measure
half as much
twice as much
the same
Answer:
Half 43.5
The same 87
Twice as much 174
Step-by-step explanation:
The arc measure is approximately [tex]\(1.518 \pi\)[/tex] times the central angle. So, it's larger. The answer is B.
To find the measure of the arc corresponding to a central angle, you can use the formula:
[tex]\[ \text{Arc measure} = \frac{\text{Central angle}}{360^\circ} \times \text{circumference of the circle} \][/tex]
Since a full circle has a circumference of [tex]\( 2\pi \)[/tex] units, and the central angle is 87 degrees, you can substitute these values into the formula:
[tex]\[ \text{Arc measure} = \frac{87^\circ}{360^\circ} \times 2\pi \][/tex]
[tex]\[ \text{Arc measure} = \frac{87}{360} \times 2\pi \][/tex]
[tex]\[ \text{Arc measure} \approx 0.2417 \times 2\pi \][/tex]
[tex]\[ \text{Arc measure} \approx 1.518 \pi \][/tex]
Now, compare the result to the central angle. Since the arc measure is approximately [tex]\(1.518 \pi\)[/tex], and the central angle is 87 degrees, it's clear that the arc is larger than the central angle. So the correct answer is:
B. Twice as much
Complete Question:
If a central angle measures 87degree, then its arc will measure _____.
A. half as much
B. twice as much
C. the same
Solve by completing the square:
x^2 + 4x - 5 = 0
Answer:
x = 1, -5
Step-by-step explanation:
Use the formula (b/2)^2 in order to create a new term. Then, you solve for x by using this term to complete the square.
Answer:
(1, -5)
Step-by-step explanation:
x² + 4x - 5 = 0
(x - 1)(x + 5)
x - 1 = 0
x = 1
x + 5 = 0
x = -5
What can you conclude about DNA from the idea that it is
like a cell's "brain"?
DNA is akin to a cell's "brain" in that it contains all the instructional genetic information for the cell. The Central Dogma of Molecular Biology details how this information is transmitted within the cell to produce proteins, which ultimately define the cell's structure and function. Cell differentiation and function are determined by environmental signals and gene expression.
The analogy of DNA being like a cell's "brain" suggests that DNA serves a fundamental role in controlling the functions of a cell, much like the brain controls the functions of the body. DNA contains all the hereditary information necessary for protein synthesis, and these proteins determine the structure and function of the cell. The process by which DNA directs protein synthesis involves transcription (where instructions in DNA are converted into messenger RNA), and translation (where ribosomes read this RNA to build proteins based on the sequence of amino acids encoded within the DNA). This mechanism is known as the Central Dogma of Molecular Biology.
Each cell in our body, regardless of its specific role, contains the same DNA. However, the way in which this DNA is expressed – which genes are turned on or off – determines the function and type of the cell. This differentiation process is guided by the cell's environment and the signals it receives. Additionally, it's important to realize that while DNA contains the instructions, it's through the replication process, along with transcription and translation, that living cells are continuously renewing and passing on these instructions. Cells do not arise anew from DNA; instead, every cell comes from the division of a previous cell, carrying the genetic blueprint forward.
Which point is located at (7,6)?
A) B
B) E
C) O
D) R
Answer:
A B
Step-by-step explanation:
We start at the origin
We go 7 units to the right
Then we go 6 units up
We end at the point B
Answer:
b
Step-by-step explanation:
go along the x or horizontal axis first to 7, then go up 7 or along the y axis 7 and where they intersect is the point.
Find the mean of 6, 9, 4, 1, 7, 3 graphically.
Answer:
[tex]5[/tex]
Step-by-step explanation:
add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
[tex] \frac{6 + 9 + 4 + 1 + 7 + 3}{6} [/tex]
[tex] \frac{30}{6} = 5[/tex]
Solve x2 + 14x = −24 by completing the square.
What is the solution set of the equation?
Answer:
A on edgen.
Step-by-step explanation:
the figure above represents a wheel of cheddar cheese. Determine the area of cheese remaining after wedge ECG has been removed.
A A = 34.19 cm2
В. А = 68. 38cm2
с. A = 119.67cm2
d. A = 478.68cm2
Answer: 478.68cm
Step-by-step explanation:
Answer: D) A =478.68
which equation best describes the relationship between the number of students and the number of tables
Students=N Tables= t
Students:720,Tables 18
Students:600,Tables 15
Students:960,Tables 24
a N=40t
b N=35t+90
c T=40n
d N=45t-90
Answer:
equation d
Step-by-step explanation:
The equation that best describes the relationship between the number of students and the number of tables is N = 40t. This equation can be obtained by observing the given data points and identifying the pattern. It can be verified by substituting the values of the number of students and tables.
Explanation:The equation that best describes the relationship between the number of students and the number of tables is N = 40t, where 'N' represents the number of students and 't' represents the number of tables. This equation is obtained by observing the given data points and identifying the pattern. For example, when the number of tables is 18, the number of students is 720, which can be represented as 720 = 40 * 18.
To verify this equation, let's check the other given data points. When the number of tables is 15, the number of students is 600, which can be represented as 600 = 40 * 15. Similarly, when the number of tables is 24, the number of students is 960, which can be represented as 960 = 40 * 24. Therefore, the equation N = 40t best represents the relationship between the number of students and the number of tables.
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617 – 3y) + 6(y- 1)
Answer -12y+48
Answer:
vbnvbnvbnvnvbnvbnvbnvbn
Step-by-step explanation:
vbnvbnvbnvbnvbn vbn v
Guilherme observed the number of minutes his dormmates spent on social media sites while they were at the library. He reported his data in the following table.
Dormmate Number of minutes on social media
Vera 131313
Timothy 000
Manueala 141414
Khaled 363636
Yash 181818
Fernanda 121212
Find the mean number of minutes on social media.
The mean number of minutes spent on social media by Guilherme's dormmates is 15.5 minutes.
Mean of minutes dormmates spent on social media = All minutes each dormmate spent/ no. of dormmates.
In this case,
13 + 0 + 14 + 36 + 18 + 12/ 6 dormmates
= 93/ 6
= 15.5 minutes.
If the arena charges 6.50 to park in satellite parking and 10.00 to park in an arena lot how much will be made from parking 12000 vehicles in the arena lot and 3500in satellite lots
Answer:
$142,750
Step-by-step explanation:
To find how much money will be made we have to multiply the cost to park in a parking lot by the number of cars in that parking lot.
To find the amount made from satellite parking:
6.50 * 3,500 = 22,750
$22,750 is the amount made from cars parked in the satellite lot.
To find the amount made from the arena lot:
10.00 * 12,000 = 120,000
$120,000 were made from cars parked in the arena lot.
To find the total amount of how much was made, add the two amounts together.
22,750 + 120,000 = 142,750
In total, $142,750 was made.
Timothy’s mom bought 7/8 of a pound of grapes. She wants to split it between 8 kids. What fraction of the grapes will each kid get?
A. 1/8
B. 7/64
C. 9/64
Answer:
Option B
7/64
Step-by-step explanation:
Since the she bought 7/8 of a pound of grapes, the amount of grapes that Timothy's mum will be sharing is only 7/8 of a pound
Total number of kids = 6
To get the amount that each kid will get, we will have to divide 7/8 by 6
Hence we have
[tex]\frac{7}{8} \times \frac{1}{6}= \frac{7}{64}[/tex]
Hence, each child will get 7/64 of a pound of grapes, if the grapes are shared equally.
Answer:
B. 7/64
Step-by-step explanation:
Since Timothy's mom bought 7/8 of a pound of grapes, the amount of grapes that she will split between 8 kids will be:
7/8 ÷ 1/8 = 7/64
Therefore, each kid will get 7/64 of a pound of grapes, if the grapes are splitted equally.
Which net represents this solid figure?
What is 5
8 % written as a decimal?
A.
0.625
B.
0.0625
C.
0.00625
D.
0.000625
Answer:
A
Step-by-step explanation:
hope this helps:))
Please help quickly
Answer:
y=4x
Step-by-step explanation:
First, find the slope
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
We know 2 points, (2,8) and (12,48).
(2,8) can be (x1, y1)
(12,48) can be (x2, y2)
We can say that y2 is 48, y1 is 8, x2 is 12, and x1 is 2. Substitute them in
[tex]m=\frac{48-8}{12-2}[/tex]
[tex]m=\frac{40}{10}[/tex]
m=4
Now, we can use the point slope formula, since we have a point and the slope
[tex]y-y_{1} =m(x-x_{1})[/tex]
We know m, the slope is 4. We also know a point (2,8), which is (x1, y1). Substitute them in
y-8=4(x-2)
Distribute the 4
y-8=4*x-2*4
y-8=4x-8
Add 8 to both sides
y=4x
Answer:
y=4x
Step-by-step explanation:
You are given 3 points that are on this line. (0,0) which is the origin, (2,8) and (12,48)
Find the slope with (2,8) and (12,48)
Remember the slope formula:
(y2-y1) / (x2 - x1)
So:
(48 - 8) / (12 - 2)
40/10 = 4
And the y- intercept is 0 because the line goes through the origin.
So the equation is:
y=4x
Hope this helps!!
Find the value of x in the triangle shown below.
Answer:
x=82
Step-by-step explanation:
There are 180 degrees in a triangle.
24+74=98
180-98=82
Answer:
add the angles and subtract them from 180
Step-by-step explanation:
24+74=98
180-98=82
The amount of the discount is always ______ the original price to find the sale price.
A: Divided by
B: Multiplied by
C: Added to
D: Subtracted from
(I know this is probably so easy, but my brain is not working today)
The amount of discount is always subtracted by the original price to find the sale price.
The formula is SP=MP-Discount
for eg: If MP is $5000 and discount given is $ 1000 then we have to find SP by using the formula:SP=MP-Discount
So it results to $4000.
Hope it will help u and make u understand...
The student council is planning an activity night to raise money. The student council will charge $5 per student to attend the activity night. write an expression that can be used to calculate the amount of money collected for n number of students.
Answer:
5n
Step-by-step explanation:
They are charging 5 dollars per person and n is the number of students. You would multiply 5 by n (the number of students) to see how much money they raised.
You earn $28 for washing 7 cars. How much do you earn for washing 5 cars?
Answer:
you earn 20 dollars for 5 cars
Step-by-step explanation:
7 times what equals 28
that is 4
4 times 5 is 20
Answer:
20
Step-by-step explanation:
So, you first need to divide 28 by 7, to get the amount that you get paid per car. Your answer should be $4 per car. Then, you need to multiply 4 by 5, because you want to know how much you earn for 5 cars. 4x5=20. 20 is your final answer. (I hope this helps you!)
What is the product of 4^4(4^-7)(4)?
A. 1/-16
B. 1/-8
C. 1/16
D. 1/8
Answer:
C
Step-by-step explanation:
i used a calculator multiple times :)
f(n)=5n-10 what are the the 10th 11th and 12th term
Answer:
10th term: 40
11th term: 45
12th term: 50
Step-by-step explanation:
Substitute 10, 11 and 12 as n and solve the equation.
Jack determined that triangle FGH has the interior angle measures shown below. Is Jack correct? Explain. F = 47°, G = 119°, H = 72°
Answer:
Jack is incorrect because a triangle's interior angles should add up to 180°.
Step-by-step explanation:
jack’s solution is incorrect. The sum of the three angles of his triangle is not 180°, which is the sum of the angles of any triangle. The sum of his angles is 238°.
Answer:
Jack’s solution is incorrect. The sum of the three angles of his triangle is not 180°, which is the sum of the angles of any triangle. The sum of his angles is 238°.
Step-by-step explanation:
I just did it
multiplication puzzle
1. 140
2. 3
3. 9
4. 7
5. 0
6. 160
7. 30
8. 70
9. 4
10. 90
There are two types of membership fees for a gym. Gym A charges $70 per month. Gym B charges a start up fee of
$240 plus $10 per month. How many months would it take for the memberships to cost the same?
steps ?
Answer:
The answer is four.
Step-by-step explanation
It starts off with 250 and 70
then it would go to 260 and 140
then it should be 270 and 210
then 280 and 280
Next time try to work it out : )
list two iteams that could appear on a person's credit report that might hinder the person in his or her effort to get a loan to buy a boat
Answer:
1. Payment History
2. Amount of Debt he or she owes
3. Credit Age/History
4. Credit Inquiries
Step-by-step explanation:
Find P (Sheep | Male)
Answer: I got 2/7
Step-by-step explanation:
The required probability of the sheep being male is 2/7 or 0.286 or 28%.
Given that,
Tabulated data has been given in the image for cow, sheep, horse chicken, and pigs for their male and female frequencies.
Probability for sheep in males to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events. Probability = Favorable Events / Total outcomes
Total number of male S(n) = 14
Number of male sheep E(n) = 4
Probability for sheep in males = E(n) / S(n)
= 4 /14
= 2 / 7
Thus, the required probability of the sheep being male is 2/7 or 0.286 or 28%.
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What is the answer to this?
Answer:
tkae j ad by f then subtracr the u then add the c then multply k then say u
Step-by-step explanation:
What is the domain of f(x)=x^2
Answer:
R (all real numbers)
Step-by-step explanation:
You can use every value for x, so the domain is "everything".