Answer: r = - 8/3
Step-by-step explanation: im pretty sure thats the write answer
The price of a DVD is $24.00 plus 8% sales tax. What is the sales tax on
this DVD in dollars and cents?
34 points
$3.00
$300
$1.92
$192
Answer:
1.92
Step-by-step explanation:
Answer:
$1.92
Step-by-step explanation:
8% of 24
= 1.92
Maddy made $22.50 for babysitting for 5 hours for her aunt. Maddy was paid $21.00 for 3.5 hours of babysitting for her neighbor. How much more per hour does Maddy’s neighbor pay than her aunt?
A. $1.00/hr
B. $1.50/hr
C. $2.00/hr
D. $2.50/hr
Answer: B.1.50
Step-by-step explanation:
22.50 divided by 5 = 4.5
21.00 divided by 3.5 = 6.0
6 - 4.5 = 1.50
This will tell us the differences in
how much money they made.
1) Caleb earned $28 for 4 hours of work. How much will he earn if he works 1 for 7 hours? (HINT: Make a table!) $16 or $39 or $49 or $ 56
Answer:
Step-by-step explanation:
First, figure out how much he makes each hour. To do this, we divide 28 by 4 which is 7. This means he makes 7 dollars an hour.
1 7
2 14
3 21
4 28
5 35
6 42
7 49
This goes on and on, but we need to know how many he makes for 7 hours. The answer is 49!
Answer:
The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.
Step-by-step explanation:
We know that the data points given by (x,y) are in direct variation if:
for each (x,y)
We are given data as:
Caleb’s Earnings Hours(x) 12 15 18 21
Earnings (in dollars)(y) 140 170 200 230
So, we could see the ratio as:
Hence, we could see that each ratio are not equal.
Hence, the relationship between the earnings and the number of hours does not represents a direct variation.
A ball is hit into air at time t=0 seconds.its height above the ground is given by the equation h=25t-9.8t².what is the value of t when the ball lands on the ground?
Answer:
The ball lands on the ground at t=2.55 seconds
Step-by-step explanation:
Quadratic Equation
The following function models the height above the ground of a ball hit into the air at time t seconds:
[tex]h=25t-9.8t^2[/tex]
We need to find the value of t when the ball hits the ground.
At ground level, h is zero, thus:
[tex]25t-9.8t^2=0[/tex]
This is an incomplete quadratic equation that can be easily solved by factoring:
[tex]t(25-9.8t)=0[/tex]
There are two solutions:
t=0
t=25/9.8=2.55 s
The first solution corresponds to the moment when the ball is hit, and the second is when it returns to the ground, thus:
The ball lands on the ground at t=2.55 seconds
Dave owns Dave's Donut Shop and must make decisions about how much to charge for donuts. As a businessowner he wants to attract a lot of customers as well as make a lot of money (revenue). The amount of revenue Dave makes can be modeled by the equation R = (p-1)(200 - 40p), where p represents the price of one donut and R represents the total revenue. Use as many strategies as you can to figure out the questions below. 0 At what price will Dave break even (make no revenue)? How much should Dave charge to maximize his revenue? What is the most money Dave can make? Dave made $100 from donut sales. How much must he have charged per donut?
Answer:
2430
Step-by-step explanation:
The revenue is the amount of money generated by an organization from sales or services made in a specific time. The conclusion from the computation made are:
The break even price is at $1 and $5To maximize his revenue, he as to charge $3The most money he can make is $160He charged $4.225 or $1.775 to make $100.Given that:
[tex]R = (p - 1)(200 - 40p)[/tex]
To calculate the break even, we set R to 0.
So, we have:
[tex](p - 1)(200 - 40p) =0[/tex]
Split
[tex]p - 1 = 0[/tex] or [tex]200 - 40p = 0[/tex]
Solve for p
[tex]p = 1[/tex] or [tex]40p = 200[/tex]
Divide by 40 in the second equation
[tex]p=1[/tex] or [tex]p =5[/tex]
The break even price is at $1 and $5
To maximize his revenue, we have:
[tex]R = (p - 1)(200 - 40p)[/tex]
Open bracket
[tex]R = 200p - 200 - 40p^2 + 40p[/tex]
Rewrite as:
[tex]R = - 40p^2+ 200p + 40p- 200[/tex]
[tex]R = - 40p^2+ 240p- 200[/tex]
Differentiate
[tex]R' = -80p + 240[/tex]
Equate to 0 and solve for p
[tex]-80p + 240=0[/tex]
[tex]-80p =- 240[/tex]
Divide by -80
[tex]p = 3[/tex]
To maximize his revenue, he as to charge $3
The most money he can make is calculated as:
[tex]R = (p - 1)(200 - 40p)[/tex]
Substitute [tex]p = 3[/tex]
[tex]R = (3 - 1)(200 - 40 \times 3)[/tex]
[tex]R = (3 - 1)(200 - 120)[/tex]
[tex]R = 160[/tex]
The most money he can make is $160
The charges he sold when he made $100 is:
[tex]R = - 40p^2+ 240p- 200[/tex]
Substitute 100 for R
[tex]- 40p^2+ 240p- 200=100[/tex]
Collect like terms
[tex]- 40p^2+ 240p- 200-100=0[/tex]
[tex]- 40p^2+ 240p- 300=0[/tex]
Divide through by -20
[tex]2p^2- 12p+ 15=0[/tex]
Using quadratic formula, the solution of p is:
[tex]p = \frac{-b \± \sqrt{b^2 - 4ac} }{2a}[/tex]
So, we have:
[tex]p = \frac{-(-12) \± \sqrt{(-12)^2 - 4\times 2 \times 15} }{2 \times 2}[/tex]
[tex]p = \frac{12 \± \sqrt{24} }{4}[/tex]
[tex]p = \frac{12 \± 4.90 }{4}[/tex]
Split
[tex]p = \frac{12 + 4.90 }{4}\ or p = \frac{12 - 4.90 }{4}[/tex]
[tex]p = \frac{16.90 }{4}\ or\ p = \frac{7.1 }{4}[/tex]
[tex]p = 4.225\ or\ p = 1.775[/tex]
He charged $4.225 or $1.775 to make $100.
Read more about revenue and price at:
https://brainly.com/question/11859895
f(x)=x-5
g(x) = 2x+1
Write the expressions for (f-g)(x) and (f+g)(x) and evaluate (fg)(4).
Answer:
(f - g)(x) = -x - 6
(f + g)(x) = 3x - 4
(f*g)(4) = -9
Step-by-step explanation:
These are your equations:
f(x) = x - 5
g(x) = 2x + 1
To find (f - g)(x), subtract g(x) from f(x).
(f - g)(x) = x - 5 - (2x + 1)
(f - g)(x) = x - 5 - 2x - 1
(f - g)(x) = -x - 5 - 1
(f - g)(x) = -x - 6
To find (f + g)(x), add f(x) with g(x).
(f + g)(x) = x - 5 + 2x + 1
(f + g)(x) = 3x - 5 + 1
(f + g)(x) = 3x - 4
To find (f*g)(4), you need to first find (f*g)(4). You can do this by multiplying f(x) wih g(x).
(f*g)(x) = (x - 5)(2x + 1)
(f*g)(x) = 2x² - 9x - 5
Now that you have (f*g)(x), solve with x as 4.
(f*g)(4) = 2(4)² - 9(4) - 5
(f*g)(4) = 2(16) - 9(4) - 5
(f*g)(4) = 32 - 36 - 5
(f*g)(4) = -9
The required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
f(x)=x-5
g(x) = 2x+1
According to the question,
[f + g ](x) = x - 5 + 2x + 1 = 3x - 4
[f + g ](x) = 3x - 4
[f - g ](x) = x - 5 - 2x - 1
[f - g ](x) = -x - 6
(f.g)(x) = (x - 5)(2x + 1)
(f.g)(x) = 2x² -4x -5
(f.g)(4) = 2[4]² - 4[4] - 5
= 32 - 16 - 5
= 11
(f.g)(4) = 11
Thus, the required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.
Learn more about function here:
brainly.com/question/21145944
#SPJ2
One number is 2 times another. The sum of their reciprocals is 15 Find the numbers.
Answer:
7.5 i think
Step-by-step explanation:
What is m,y-intercept and the y
Answer:
m=2x-40
y intercept = -40
which time has the definition the location where the X and Y axis intersect the ordered pair is (0,0)"? A Ordinate B Abscissa C Origin D Quadrant
you just purchased a new hooded sweatshirt for $24. the total cleaning cost is $2 total because it will be washed with other sweatshirts. you will wear the sweatshirt 18 times this winter. calculate the cost per wearing.
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
What is a reasonable estimate of -3 4/5 + (-5.25) and the actual value?
Answer:
The actual value is -181/20. Estimate could be -200/20
Step-by-step explanation:
(50 points!)
Find the missing angles
Answer:
<2= 133
<3 = 47
<4 = 133
<5 = 47
<6 = 133
<7 = 47
<8 = 133
Step-by-step explanation:
im assuming a transversal is cutting the two lines, and that the 2 lines are parallel
2 = u must do 180-47 since theyre supplementary angles
3 = they are vertical angles
4 = 4 is a vertical angle to 2, but you can also do 180-47 since it is supp. to 3
5 = corresponding angle to the 47 degrees one
6 = alternate interior with 4, but also corresponding with 2
7 = vertical angles with 5 but also alternate exterior with the 47 degree angle , but also supplementary with both 6 and 8, and corresponding with 3
8= corresponding with 4, but also supplementary to 7 and 5. and vertical to 6
Answer:
<2= 133 <3 = 47 <4 = 133 <5 = 47 <6 = 133 <7 = 47 <8 = 133
Help me plsss! I'll give u 10 points
Answer:
1.02n
Step-by-step explanation:
We just have to simply the expression already given which will give you the equivalent expression.
n + 0.02n since these are like terms because of the variable "n", we can just add them together
n+0.02n
1.02n
The ratio of chocolate
chip cookies to total
cookies on a tray is 3:5.
What percent of the tray
is chocolate chip
cookies?
Answer:
The percent is 75%
Step-by-step explanation:
The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (14, 3).
Answer:
(x-14)^2+(y-3)^2=9
Step-by-step explanation:
equation of a circle is (x-h)^2+(y-h)^2=r^2
so center is (14,3) and is tangent externally means
(x-14)^2+(y-3)2=3^2
(x-14)^2+(y-3)^2=9 answer
The equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]
The standard formula for finding the equation of a circle is expressed as:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where
(a, b) is the centre
r is the radius
Given the center at (14, 3)
If the equation of a circle is externally tangent to the given circle and has a center at (14, 3), then the radius will be 3
Substitute the radius and the centre into the expression above to have:
[tex](x-14)^2 + (y-3)^2=3^2\\(x-14)^2 + (y-3)^2=9[/tex]
Hence the equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]
Learn more here: https://brainly.com/question/24217736
can someone please help me
Answer:
y = -5/3x -7
Step-by-step explanation:
If lines are parallel they have the same slope m = -5/3. Just need to figure out the new y-intercept going through the point (-9, 8).
y = mx + b
8 = -5/3(-9) + b
8 = 15 + b
b = -7
Now use m and b to form new equation of parallel line.
y = mx + b
y = -5/3x -7
Plzz answers its easy points!!!! im just really dumb!!!!
Answer:
see below
Step-by-step explanation:
V = Bh where B is the area of the base and h is the height
Divide each side by h
V/h = Bh/h
V/h = B
36/6 = B
6 = B
The area of the base is 6 in^2
find the equation of the graphed function.
f(x)= _________
Answer:
y =(x+3) ^2
Step-by-step explanation:
The zero is -3 and it is the vertex (-3,0)
Using the vertex form of a parabola where ( h,k) is the vertex
y = a( x-h)^2 +k
y =a(x- -3) ^2+0
y =a(x+3) ^2
We also know another point is ( -1,4)
Substituting that point into the equation
4 = a( -1+3) ^2
4 = a( 2)^2
4 = a*4
Divide each side by 4
1 =a
The equation is
y =(x+3) ^2
An element with mass 640 grams decays by 7.3% per minute. How much of the element is remaining after 8 minutes to the nearest 10th of a gram?
9514 1404 393
Answer:
349.0 grams
Step-by-step explanation:
The amount remaining can be modeled by an exponential function of the form ...
remaining = (initial amount)(1 - decay rate)^t
q(t) = 640(1 -0.073)^t
q(8) = 640(0.927^8) ≈ 349.0 . . . grams
The amount remaining after 8 minutes is about 349.0 grams.
What is equal to d? I’m sorry but I need help.
i need help with this!
Answer:
to convey the parametric expression to be use the explosions
Help to solve x and Y
Amy wrote a check for $32 to py her monthly electricity bill, but when balancing her checkbook, she accidentally recorded it as a credit rather than as a debit. How will her check register compare to her monthly bank statement when she receives it?o
Answer:
It will show $32 more than she actually has!
Step-by-step explanation:
What is the interquartile range of the following data set?3,8,14,19,22,29,33,37,43,49
I need help please
does anyone know how to do this ??
Answer:
I may be wrong but I believe it is 106°
Step-by-step explanation:
what is the place value of the 6 in 976.14
Answer:
represents the one value
Step-by-step explanation:
Ones place
What is f(3)?
o 9
0 -1
O 1
O 9
Answer:
C.
Step-by-step explanation:
f(3) is referring to 3 on the left side and it is beside 1 which is on the left so it's 1.
(6+4)(-12)
QUICKLYYYYY I NEED TO KNOW WHAT THE ANSWER IS!
Answer:
-120
Step-by-step explanation:
Answer:
-120
Step-by-step explanation:
First solve the parenthesis which leaves you with the equation.
10 × -12
Multiply that and you get -120
If you want me to explain it more lemme know! Hopefully this helps and have a great day!
Evalute each expression for s=4 and t=8
1) (s+t)^3
2) s^4+t^2+5/2
3) (st)^2/(st^2)
Answer:
1) 1728
2)322.5
3)4
............