Answers
ANSWER: Tim Carter's weekly pay was $282.25.
I will work on Tim Carter's weekly pay. Because he worked 50 hours, and there are 40 regular hours, he worked 10 overtime hours.
To find out his regular pay, we need to multiply his regular pay by his regular hours.
[tex]40 * 5.15 = 206[/tex]
Tim Carter makes $206 for his regular hours. To find out his overtime pay, we need to multiply his regular pay by his overtime hours, then multiply that product by 1.5.
[tex]10 * 5.15 = 51.5\\\\51.5 * 1.5 = 77.25[/tex]
Tim Carter makes $77.25 for his overtime hours. Lastly, add the regular pay and his overtime pay to get his weekly pay.
[tex]206 + 77.25 = 283.25[/tex]
Tim Carter's weekly pay was $283.25.
Answer:
Step-by-step explanation:
OT Weekly Pay
Tim Carter: 10 40x5.15= 206 5.15 x 1.5=7.725
7.725 x 10 = 77.25 206 + 77.25 = $283.25
Jesse Jones: 7.5 40x5.15= 206 5.15 x 1.5 = 7.725
7.725 x 7.5 = 57.9375 = 57.94
206 + 57.94 = $263.94
Barbara Burns: 4 40x5.15= 206 5.15x1.5 = 7.725
7.725 x 4 = 30.90 206 + 30.90 = $236.90
Related Questions
I also need help with this one
Answers
[tex] \frac{1}{6} + \frac{1}{4} [/tex]
Find the common denominators first. 2/12 + 3/12 = 5/12. Two slices of the 6 slice pizza is 1/3 or 4/12.
Kameko bought a home in Homewood, Illinois, for $230,000. He put down 20% and obtained a mortgage for 25 years at 8%. What's the total interest cost of the loan?
Answers
Final answer:
The total interest cost of the loan is $28,999.
Explanation:
To find the total interest cost of the loan, we need to calculate the amount of interest paid over the 25-year period. First, we need to find the amount of the mortgage by subtracting the down payment from the purchase price. 20% of $230,000 is $46,000, so the mortgage is $230,000 - $46,000 = $184,000.
To calculate the interest cost, we can use the formula: Interest Cost = Total Repayment - Principal Amount.
Principal Amount = Mortgage Amount = $184,000.
Number of Payments = Number of years x Number of payments per year = 25 x 12 = 300.
Monthly Interest Rate = Annual Interest Rate / Number of payments per year = 8% / 12 = 0.00667.
Total Repayment = Monthly Payment x Number of Payments = [(Monthly Interest Rate x Principal Amount) / (1 - (1 + Monthly Interest Rate)^(-Number of Payments)) ] x Number of Payments = [(0.00667 x $184,000) / (1 - (1 + 0.00667)^(-300))] x 300 = $526.67 x 300 = $157,001.
Interest Cost = Total Repayment - Principal Amount = $157,001 - $184,000 = $28,999.
As a clinical trials monitor, you recruit subjects for a new study. You want 175 subjects per group for 3 groups. How many subjects should you recruit for the whole study?
Answers
Answer:
You should recruit a total of 525 subjects for the whole study.
Step-by-step explanation:
The question states that you want 175 subjects per group for 3 groups. This indicates that we need to either multiply 175 times 3, or we can add 175 three times to get the total number of subjects we would need to recruit. Group 1 should have 175, Group 2 should have 175 and Group 3 should have 175. Whether we multiply 175 x 3 or add 175+175+175, we get a final anser of 525.
Harold can buy 2 pounds of bananas for $7. Write and equation to represent the cost , c , for b bananas
Answers
that's would be the equation. But if ur answer was looking for how much it would be for 1 pound of bananas then it would be
b=3.5c
Another math question because that’s my weak point 30 points
Answers
j+h>f. Inequality
2+66÷11-3*2 expression
Answer:
4j-3 = j is an equation
2 + 66÷11 -3*2 is an expression
g+h>f is an inequality
Step-by-step explanation:
An equation has an equals sign =
An expression has no equals sign or greater or less than signs
An inequality has ( ≤,≥,<,>) greater than or equal to, less than or equal to, greater than, less than signs
Which method can you use to prove that the triangles are congruent?
A. HL
B. ASA
C. SAS
D. SSS
E. AAS
Answers
Answer:
The answer is ASA.
Step-by-step explanation:
There is one other angle in the middle which is congruent to its self.
ASA (Angle-Side- Angle) method can we use to prove that the triangles are congruent
Two triangles are called to be congruent if their sides have the equal length and angles have equal measure.
Thus, two triangles can be superimposed side to side and angle to angle.
If any two angles and the side of the angles of triangle are equivalent to the corresponding, then the two triangles are said to be congruent by ASA rule.
There is one other angle in the middle which is congruent to its self
ASA (Angle-Side- Angle)
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Can someone help me please
Answers
Find all the whole values of a for which the solution of the equation ax = 6 is a whole number.
Answers
Answer:
[tex]a=1,\ 2,\ 3,\ 6.[/tex]
Step-by-step explanation:
A whole number is any number of a set [tex]\{0,\ 1,\ 2,\ 3,...\}[/tex]
The equation [tex]ax=6[/tex] has a solution [tex]x=\dfrac{6}{a},\ a\neq 0.[/tex]
If [tex]a=1,[/tex] then [tex]x=\dfrac{6}{1}=6[/tex] is a whole number.
If [tex]a=2,[/tex] then [tex]x=\dfrac{6}{2}=3[/tex] is a whole number.
If [tex]a=3,[/tex] then [tex]x=\dfrac{6}{3}=2[/tex] is a whole number.
If [tex]a=6,[/tex] then [tex]x=\dfrac{6}{6}=1[/tex] is a whole number.
For all other values of [tex]a[/tex] equation [tex]ax=6[/tex] will have solution that is not a whole number.
Line AB passes through points A(–6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y = mx + b, then m = –1/6.
and b = ?
Answers
Put the value of slope to the equation of the function:
[tex]y=-\dfrac{1}{6}x+b[/tex]
Put the coordinates of the point B(12, 3) to the equation:
[tex]3=-\dfrac{1}{6}(12)+b[/tex]
[tex]3=-2+b[/tex] add 2 to both sides
[tex]5=b[/tex]
Answer: b = 5Answer:
The value of b is 5.
Step-by-step explanation:
Consider the provided information.
It is given that the slope intercept form is, y = mx + b
Where m is the slope and b is the y intercept.
Also, it is given that the slope of the line is -1/6.
Line AB passes through points A(–6, 6) and B(12, 3).
That means Point A and B must satisfy the equation of line.
Substitute [tex]m=\frac{-1}{6}, x=-6\ \text{and}\ y = 6[/tex] in slope intercept form:
[tex]6=\frac{-1}{6}\times(-6)+b[/tex]
[tex]6=1+b[/tex]
[tex]5=b[/tex]
Thus, the value of b is 5.
Determine the ratio in which the point (–6, m) divides the join of A(–3, –1) and B(–8, 9). Also, find the value of m.
Answers
Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P = [tex]( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} )[/tex].
But, [tex]\frac{-8k-3}{k+1}[/tex] = -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e. [tex]k = \frac{3}{2}[/tex]
So, the ratio is k : 1 i.e [tex]\frac{3}{2} : 1[/tex] i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also, [tex]\frac{9k-1}{k+1}[/tex] = m where [tex]k = \frac{3}{2}[/tex]
i.e. m = [tex]\frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}[/tex]
i.e. m = [tex]\frac{27-2}{3+2}[/tex]
i.e. m = [tex]\frac{25}{5}[/tex]
i.e. m = 5.
Hence, the value of m is 5.
Answer:
m=5
Step-by-step explanation:
Given: Point [tex]C(x_3,y_3)=(-6,m)[/tex] divides the join of point [tex]A(x_1,y_1)=(-3,-1)[/tex] and point [tex]B(x_2,y_2)=(8,9)[/tex]
Let the line AB divides by Point C in a ratio m:n=k:1
Then, Using section formula [tex](x_3,y_3)=\frac{x_1n+x_2m}{m+n},\frac{y_1n+y_2m}{m+n}[/tex]
Applying formula,
[tex]x_3,y_3=\frac{x_1n+x_2m}{m+n},\frac{y_1n+y_2m}{m+n}[/tex]
[tex]x_3,y_3=\frac{-8k-3}{k+1},\frac{9k-1}{k+1}[/tex]
But, [tex]x_3=-6[/tex]
Therefore, [tex]x_3=\frac{-8k-3}{k+1}[/tex]
[tex]-6=\frac{-8k-3}{k+1}[/tex]
[tex]-6k-6=-8k-3[/tex]
[tex]2k-3=0[/tex]
[tex]k=\frac{3}{2}[/tex]
Therefore, C divides line AB in 3:2
Now, [tex]m=\frac{9k-1}{k+1}[/tex] where, k=3/2
[tex]m=\frac{9\frac{3}{2}-1}{\frac{3}{2}+1}[/tex]
[tex]m=\frac{\frac{25}{2}}{\frac{5}{2}}[/tex]
[tex]m=\frac{25\times2}{2\times5}[/tex]
[tex]m=5[/tex]
Ralph Kramer ingested $11,000 in a certificate of deposit for 1 year. The certificate earns interest at an annual rate of 5.75 percent compounded daily. The amount per $1.00 is 1.059180. What is the effective annual yield? Show work
Answers
Answer:
5.91%
Step-by-step explanation:
We are given an investment deposited fro 1 year compounded daily at an annual interest rate of 5.75%.
Compounding period per year, n: 365
The effective annual yield can be calculated by the following formula:
Effective Annual Yield = [tex] (1+\frac{r}{n})^{n}-1[/tex]
where n = 365
Interest rate, r= 5.75% = 0.0575
[tex]=(1+\frac{0.0575 }{365})^{365}-1[/tex]
= 0.059
The annual effective yield is 5.91%
16 less than a number equals -19. What is the number? PLS HELP (6TH GRADE MATH)
Answers
Answer:
-3
Step-by-step explanation:
-3-16=-19
-19+16=-3
Answer:
-3
Step-by-step explanation:
Write Y=3x^2+6x+8 In Vertex form
Answers
The vertex form is
[tex]y = 3 {(x + 1)}^{2} + 5[/tex]
EXPLANATION
We want to write
[tex]y = 3 {x}^{2} + 6x + 8[/tex]
in the vertex form which of the form
[tex]y = a {(x - h)}^{2} + k[/tex]
We achieve this BG completing the square.
We proceed as follows,
[tex]y = 3( {x}^{2} + 2x) + 8[/tex]
We add and subtract half the coefficient of x multiplied by a factor of 3 which is
[tex]3( \frac{1}{2} \times 2)^{2} = 3( {1)}^{2} [/tex]
This gives us,
[tex]y = 3( {x}^{2} + 2x) + 3 {(1)}^{2} -3 {(1)}^{2} + 8[/tex]
We still factor 3 out of the first two terms to get,
[tex]y = 3( {x}^{2} + 2x + {1}^{2} ) -3 {(1)}^{2} + 8[/tex]
We now got a perfect square, which factors to,
[tex]y = 3 {(x + 1)}^{2} + 5[/tex]
The equation is now in the vertex form.
In which number is the value of the 7 ten times the value of the 7 in the number 1,273
Answers
Answer:
Your answer would require a 7 in the hundreds place
Step-by-step explanation:
1,273
The 1 is in the thousands place. 1 * 1000
The 2 is in the hundreds place. 2 * 100
The 7 in in the tens place. 7 * 10
The 3 is in the ones place. 1 * 1
To get from 10 to 100, we would multiply by 10, so to get from the tens place to the hundreds place is 10 times greater.
Your answer would require a 7 in the hundreds place
In the number system, each place to the left is ten times the place to its right. Therefore, for the value of the 7 to be ten times greater than the 7 in 1,273, it must be in the tens place, such as in numbers like 702, 770, or 170.
Explanation:The value of a digit in a number depends on its place or position. In the number system, each place is ten times the place to its right. Therefore, in the number 1,273, the value of the 7 is simply 7 (because it's in the units place). However, for the 7 in the new number to be ten times greater than the 7 in 1,273, it must be in tens place. Therefore, the new number could be 7x10 = 70 (with the 7 in the tens place). So, any number with 70 in the tens place (like 702, 770, or 170) has a 7 that's ten times the 7 in 1,273.
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Which is the graph of f(x)= 4[1/2]^x ?
Answers
Answer:
B
Step-by-step explanation:
A
f(1) = 4*(1/2)^1 = 4/2 = 2
(1,1) is not the same thing.
B
B is the answer.
C
f(0)=4 not 2 C is incorrect. C is not the answer
D
Same problem as C
Twice the sum of a number and eleven is twenty-two less than three times the number. Find the number.
Answers
Jack makes W dollars an hour. He will get a $2 an hour raise. Write an expression for his new hourly wage
Answers
Answer:
2w
Step-by-step explanation:
you multiply 2 by how many hours you have worked (w)
5x + 3 < 3(x+2 need help
Answers
Answer:
x < [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
distribute the parenthesis on the right side
5x + 3 < 3x + 6 ( subtract 3x from both sides )
2x + 3 < 6 ( subtract 3 from both sides )
2x < 3 ( divide both sides by 2 )
x < [tex]\frac{3}{2}[/tex]
Answer:
x < [tex]\frac{3}{2} \\[/tex]
Find the measure of the angle
Answers
Answer:
? = 113
Step-by-step explanation:
The angles are alternate interior angles. Alternate interior angles are equal if the lines are parallel. Since the lines are parallel, the angles are equal.
? = 113
Tickets for a choir concert cost $3 for students and $5 for adults. The choir director wants to sell at least $1500 worth of tickets to this concert. She knows that 226 students purchased a ticket. Enter the minimum number of adults that need to purchase a ticket to raise at least $1500.
Answers
Answer: 164.4 or 165
Step-by-step explanation: So, you do 226 x 3 and you get $678. So now that you know that you have $678 worth of student tickets, you want to find how much more you need for the adult tickets, so you do $1500-$678, and you get $822. Divide it by 5 and you get 164.4, so you wanna sell about 165 tickets. Check your work by multiplying 5 by 165 and you get $825, which meets your $1500 minimum
After calculating the revenue already obtained from the student tickets sold, the remaining revenue needed to reach $1500 is found. This amount is divided by $5 (the cost of an adult ticket) to find the minimum number of adult tickets needed. Since you can't sell fractions of tickets, we round up to the next whole number, which is 165 adult tickets.
Explanation:The first step to solve this problem is to calculate how much revenue has already been raised from the student tickets sold, which is $3 x 226 = $678. Then subtract this amount from the total revenue target of $1500, which gives $1500 - $678 = $822.
The choir director now needs to raise $822 from selling adult tickets. As each adult ticket costs $5, we can calculate the minimum number of adult tickets that need to be sold by dividing the amount of revenue needed by the price of an adult ticket. This is $822 / $5 = 164.4.
Since you can't sell .4 of a ticket, we'll need to round up to the next whole number, giving a minimum of 165 adult tickets that need to sell in order to reach the revenue target.
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If triangle XYZ’s points are X (-2, 1), Y (-4,-3), and Z (0,-2) what are the new coordinates of X’, Y’, and Z’ if the triangle is transformed using the rule (x - 1, y + 3) to form triangle X’Y’Z’.
Answers
Answer:
The coordinates of image are X'(-3,4), Y'(-5,0) and Z'(-1,1).
Step-by-step explanation:
The vertices of triangle XYZ are X(-2,1), Y(-4,-3) and Z(0,-2).
It is given that the triangle translated by rule
[tex](x,y)\rightarrow (x-1,y+3)[/tex]
The coordinates of image of XYZ are
[tex]X(-2,1)\rightarrow X'(-2-1,1+3)[/tex]
[tex]X(-2,1)\rightarrow X'(-3,4)[/tex]
[tex]Y(-4,-3)\rightarrow Y'(-4-1,-3+3)[/tex]
[tex]Y(-4,-3)\rightarrow Y'(-5,0)[/tex]
[tex]Z(0,-2)\rightarrow Z'(0-1,-2+3)[/tex]
[tex]Z(0,-2)\rightarrow Z'(-1,1)[/tex]
Therefore coordinates of image are X'(-3,4), Y'(-5,0) and Z'(-1,1).
I really don't understand.
Answers
6y-74=8y-44+4y
6y-74=12y-44
6y=-30
Y=-5
The correct answer is y=-5
Harvey is finding the area that can be divided into 2 trapezoids.the basis of each trapezoid is 14 and 24. The height of each is 8. What is the area of the figure?
Answers
Answer:
Area of the figure is 304 sq. units
Step-by-step explanation:
The area is divided into two identical trapezoids of height 8 units and bases 14 and 24 units.
Area of a trapezoid = (1/2) * (Sum of base lengths) * height
So, area of 1 one trapezoid = (1/2)*(14+24)*8=152
The area of the figure is twice the area of the trapezoid.
So, area of figure = 2 * 152 = 304 sq. units
∴ Area of the figure is 304 sq. units
So far in math class, a student's quiz scores are 86%, 82%, 72%, and 69%. What score does the student need on the fifth quiz to have a mean quiz score of 79%? All the quizzes have equal weights. a 86% b 77.25% c 79% d 87%
Answers
Answer:
a
Step-by-step explanation:
the mean = [tex]\frac{total score}{count}[/tex]
let the fifth score be x and count = 5, hence
[tex]\frac{86+82+72+69+x}{5}[/tex] = 79 ( multiply both sides by 5 )
309 + x = 395 ( subtract 309 from both sides )
x = 86
the student requires a score of 86% → a
Find the first four terms of the recursive sequence: a1 = 8 and an = an-1+n.
Answers
Answer:
a1 = 8
a2 =10
a3 = 13
a4 = 17
Step-by-step explanation:
The first term is a1 = 8
The second term is a2 = a1 + n
= 8+2
= 10
The third term is a3 = a2 + n
= 10+3
= 13
The fourth term is a4 = a3 + n
= 13+4
= 17
PLZ DO ASAP NEED LIKE NOW HELP ME PLZ
What is the equation of this graphed line? y = mx + b m is the slope b is the y intercept (where does the line cross the y - ordered pair) x and y can be a point on the line m = y2 - y1/x2 - x1 A graph with a line running through coordinates (-4, -6) and coordinates (2, 6) Enter your answer in slope-intercept form in the box.
Answers
Answer:
y = 2x+2
Step-by-step explanation:
When we have 2 points, we can find the slope from
m = (y2-y1)/(x2-x1)
= (6--6)/(2--4)
= (6+6)/(2+4)
= 12/6
= 2
The slope is 2
We can use the point slope form of the equation for a line
y-y1 = m(x-x1)
y-6 = 2(x-2)
We need to get this in slope intercept form
Distribute the 2
y-6 = 2x-4
Add 6 to each side
y-6+6 = 2x-4+6
y = 2x+2
Answer:
y = 2x + 2
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + b ( m is the slope and b the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 4, - 6) and (x₂, y₂ ) = (2, 6)
m = [tex]\frac{6+6}{2+4}[/tex] = [tex]\frac{12}{6}[/tex] = 2, hence
y = 2x + b is the partial equation
to find b substitute either of the 2 points into the partial equation
using (2, 6), then
6 = 4 + b ⇒ b = 6 - 4 = 2
y = 2x + 2 ← equation in slope-intercept form
van someone please help me with this i dont need an explaination i just need a. b. c. or d. please and thank you
Answers
Answer:
option C
[tex]f(x)=-\sqrt{x+3}+8[/tex]
Step-by-step explanation:
we have
[tex]f(x)=-2\sqrt{x-3}+8[/tex]
using a graphing tool
see the attached figure N[tex]1[/tex]
The range is the interval--------> (-∞,8]
[tex]y\leq 8[/tex]
case A) [tex]f(x)=\sqrt{x-3}-8[/tex]
using a graphing tool
The range is the interval--------> [-8,∞)
[tex]y\geq -8[/tex]
case B) [tex]f(x)=\sqrt{x-3}+8[/tex]
using a graphing tool
The range is the interval--------> [8,∞)
[tex]y\geq 8[/tex]
case C) [tex]f(x)=-\sqrt{x+3}+8[/tex]
using a graphing tool
The range is the interval--------> (-∞,8]
[tex]y\leq 8[/tex]
case D) [tex]f(x)=-\sqrt{x-3}-8[/tex]
using a graphing tool
The range is the interval--------> (-∞,-8]
[tex]y\leq -8[/tex]
HELP QUICK IM GIVING 21 POINTS AND A BRAINLIEST AWARD
Peter had a 12:00 noon appointment that was 60 miles from his home. He drove from his home at an average rate of 40 miles per hour and arrived 15 mins late. At what time did Peter leave home
Answers
s...distance = 60
t...time
if he was 15 min late he arrived at 12:15
v=s/t => t=s/v
t = 60/40 = 1.5 h = 1h and 30 min
if he arrived at 12:15 and he was driving for an hour and a half just substract
12:15 - 1:30 = 11:15 - 0:30 = 10:45
he left at 10 45
Answer:
10:45
Step-by-step explanation:
v...speed = 40 mph
s...distance = 60
t...time
if he was 15 min late he arrived at 12:15
v=s/t => t=s/v
t = 60/40 = 1.5 h = 1h and 30 min
if he arrived at 12:15 and he was driving for an hour and a half just substract
12:15 - 1:30 = 11:15 - 0:30 = 10:45
he left at 10 45
What ordered pair doesn't belong in the solution set of y>2x+1? (1,4), (1,6), (3,8), (2,5)?
Answers
Put the coordinates of the points to the inequality and check.
y > 2x + 1
for (1, 4):
4 > 2(1) + 1
4 > 2 + 1
4 > 3 CORRECT
for (1, 6):
6 > 2(1) + 1
6 > 2 + 1
6 > 3 CORRECT
for (3, 8):
8 > 2(3) + 1
8 > 6 + 1
8 > 7 CORRECT
for (2, 5):
5 > 2(2) + 1
5 > 4 + 1
5 > 5 FALSE
Answer: (2, 5).7y+44=12y+11, I need help!
Answers
Answer:
y = 33/5 or 6.6
Step-by-step explanation:
7y + 44 = 12y + 11
-11 -11
7y + 33 = 12y
-7y -7y
33 = 5y
Divide both sides by 5
= 33/5 or 6.6
Answer:
[tex]y=6\frac{3}{5}[/tex]
Step-by-step explanation:
We are given the following equation for which we have to solve for y:
[tex]7y+44=12y+11[/tex]
So first of all, we will rearrange the terms by putting the like terms together (variables on one side of the equation and constants on the other side) to get:
[tex]12y-7y=44-11[/tex]
Then solving for y:
[tex]5y=33\\\\y=\frac{33}{5}[/tex]
Therefore, the value of y is equal to [tex]y=6\frac{3}{5}[/tex] (rewriting y in a mixed fraction form).