Answer:
4(t-3)^2-64
3 months
Step-by-step explanation:
1) Vertex form of the equation of the parabola is [tex]v(t)=4(t-3)^2-64[/tex]
2)3 months after its creation the company will reach its lowest net value.
The net value of the company after t months is given as:
[tex]v(t) = 4t^2-24t-28[/tex]
The above parabolic equation can be written as
[tex]v(t)=4(t^2-6t+9)-64[/tex]........(1)
What is the general equation of a parabola with vertex (h,k)?The general equation of a parabola is:
[tex]y = a(x-h)^2 +k[/tex]
where (h,k) is the vertex of the parabola.
So, (1) can be written in the vertex form as
[tex]v(t)=4(t-3)^2-64[/tex]
So, the vertex of the given parabola is (3, -64).
[tex]v'(t) = 8t - 24[/tex]
[tex]v''(t) =8[/tex]
So, from the second derivative test
t value corresponding to v'(t) =0 will give minimum value
[tex]8t-24=0[/tex]
[tex]t=3[/tex]
So, 3 months after its creation the company will reach its lowest net value.
Therefore, 1) Vertex form of the equation of the parabola is [tex]v(t)=4(t-3)^2-64[/tex]
2)3 months after its creation the company will reach its lowest net value.
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Find the area of each circle.
Circumference = 407 in
Radius =
Area =
Help pls ASAP
Answer:
Answer:
- The area of the two bases is 32π in².
- The lateral area is 40π in².
- The total surface area is 72π in².
Step-by-step explanation:
there you go have a good day
DATE_
PAGE
if
I the selling
selling prices is Rs 7777 and
His loss is Rs 888 . Find the cost price of radio-
price of a radio
Answer:
The cost price of a radio is Rs 8665
Step-by-step explanation:
There is a relation between the cost price, loss amount, and the selling price.
In the loss, the cost price must be greater than the selling price.
The cost price = selling price + Loss amountIn our question:
The selling price is Rs 7777
The loss is Rs 888
We need to find the cost price
Let us use the rule above
∵ The selling price = Rs 7777
∵ The loss = Rs 888
→ Substitute them in the rule above to find the cost price
∴ The cost price = 7777 + 888
∴ The cost price = 8665
∴ The cost price of a radio is Rs 8665
For the month of April, a checking account has a balance of $523 for 23 days, $2340 for 4 days, and $238 for 3 days. What is the account's mean daily balance for
April?
The account's mean daily balance for April is approximately $
(Round to two decimal places as needed.)
Answer:
Approximately $103.37 per day
Step-by-step explanation:
As April has 30 days, we have to add together $523, $2340, and $238 to get the total balance for the entire month. In this case, the total balance is $3101. Now, referring back to April having 30 days, $3101÷30 days=$103.366666666 a day, when rounded to two decimal places, it equals $103.37 a day. So, the account's mean daily balance for April is approximately $103.37 a day.
Hopefully the explanation and the answer helps!
The mean daily balance will be 736.77
What is weighted mean?Weighted mean is the mean where some of the value contributing more than the other values.
Weighted mean can be calculated by dividing the sum of frequencies and value by the sum of the frequencies.
weighted mean= ∑fₙxₙ/∑fₙ
where f is the frequency and x is the value.
So according to asked question,
in April, balance is in such a way that $523 for 23 days, $2340 for only 4 days, and $238 for only 3 days.
x₁=$523 , f₁=23
x₂=$2340 , f₂=4
x₃=$238 , f₃=3
weighted mean= sum of the product frequency and value/sum of frequency
= ∑fₙxₙ/∑fₙ
= ((523*23)+(2340*4)+(238*3))/(23+4+3)
=22103/30
=736.7666≅736.77
Therefore the mean daily balance will be $736.77.
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Solve 2y−18x=−26 for y what is the answer
Answer:
y=-13+9x
Step-by-step explanation:
Answer:
Y=9x-13
Step-by-step explanation:
You put the problem into slooe-intercept form.
Problem number 26 of the Rhind Papyrus says: Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of itself the result is a 15. The modern day equation that models this problem is x plus StartFraction 1 over 4 EndFraction x equals 15.. What is the solution to the equation? x = 10 x = 12 x = 15 x = 30
Answer:
[tex] x = 12 [/tex]
Step-by-step explanation:
x = the quantity to find
This quantity added to ¼ of itself gives 15.
Thus, this problem can be represented as given above:
[tex] x + \frac{1}{4}x = 15 [/tex]
Solve for x
[tex] x + \frac{x}{4} = 15 [/tex]
[tex] \frac{4x + x}{4} = 15 [/tex]
[tex] \frac{5x}{4} = 15 [/tex]
Multiply both sides by 4
[tex] \frac{5x}{4}*4 = 15*4 [/tex]
[tex] 5x = 60 [/tex]
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{60}{5} [/tex]
[tex] x = 12 [/tex]
Answer:
B
Step-by-step explanation:
2020 edge
An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends. If he works 6 hours on the weekend in addition to the 35 hours during the week, how much does he earn? A. What questions do you need to answer to solve the problem.
Answer:
$513.75
Step-by-step explanation:
Let h represent the number of hours he worked in a week
An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends.
Hence, his pay Is represented by equation:
$498.75 + $2.50 × x
If he works 6 hours on the weekend in addition to the 35 hours during the week
$498.75 + $2.50 × 6
= $498.75 + $15
= $513.75
Therefore, he earns $513.75
Find the distance between the point x = (-1,9) and y = (-2,8)
Answer:
1.4
Step-by-step explanation:
use distance formula
name the property that each statement illustrates 5 × (12 × x) = (5 × 12 × x
Answer:
Associative property of multiplication.
(a*b)*c = a*(b*c)
Answer:
Associative Property of Multiplication.
Step-by-step explanation:
(a*b)*c = a*(b*c)
write 540 as a product of prime factor
Answer:
The prime factorization of 540 is 2, 2, 3, 3, 3, and 5. To find this answer, we can start by extracting the prime number 5 as one of the factors.
Step-by-step explanation:
Add the polynomials
(-12x^5-7x^3+12x^2+11)+(4x^3+6x^2-6x+3)
Answer:
-12x^5-3x^3+18x^2+14
3 hours to clean 5 houses how many houses could be cleaned in 9 hours
Answer:
15 houses is the answer
Answer:
Let x be the no.of houses cleaned in 9 hours
3 hours 5 houses
9 hours x houses
Using cross multiplication, you get the formula:
3x = 45
x = 15
Therefore, 15 houses are cleaned in 9 hours.
What is this answer?
Answer:
negitive 8
Step-by-step explanation:
you would have to use a negitive because 12 os higher than 5 and it has to be over 7 or negitive 7
A rock is dropped from the top of a 2000-foot building. After second, the rock is traveling feet per second. After seconds, the rock is traveling feet per second. Let y be the rate of descent and x be the number of seconds since the rock was dropped. Part A: Write a linear equation that relates time x to rate y. (Hint: Use the ordered pairs (1,32) and (2,64) ) Part B: Use this equation to determine the rate of travel of the rock 17 seconds after it was dropped.
Answer:
[tex]y = 32x[/tex]
The rate is 224 ft/s
Step-by-step explanation:
Solving (a):
Given
[tex](x_1,y_1) = (1,32)[/tex]
[tex](x_2,y_2) = (2,64)[/tex]
Required
Determine the linear equation
First, we need to determine the slope using
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{64 - 32}{2 - 1}[/tex]
[tex]m = \frac{32}{1}[/tex]
[tex]m = 32[/tex]
The equation is then calculated using:
[tex]y - y_1= m(x - x_1)[/tex]
[tex]y - 32= 32(x - 1)[/tex]
[tex]y - 32= 32x - 32[/tex]
Add 32 to both sides
[tex]y - 32 + 32= 32x - 32 + 32[/tex]
[tex]y = 32x[/tex]
Solving (b):
Given
[tex]x = 7[/tex]
Required
Determine y
We have that:
[tex]y = 32x[/tex]
Substitute 7 for x
[tex]y=32 * 7[/tex]
[tex]y=224[/tex]
Hence, the rate is 224 ft/s
urgent !! please help !! can someone help me with this problem and show work
Answer:
x = 7 x= -2
Step-by-step explanation:
x^2 -5x -14 =0
What 2 numbers multiply to -14 and add to -5
-7*2 = -15
-7 +2 = -5
(x-7) (x+2) =0
Using the zero product property
x-7 =0 x+2 = 0
x = 7 x= -2
Answer:
Using the snowflake method, factors that multiply to give -14 and add to give -5 are: 2 and -7.
the factors are: (x+2)(x-7)
Calculate the slope of the line that passes through (2,0) and (1,5).
Answer:
m= -5
Step-by-step explanation:
What is the answer I need help ASAP
Answer:
C) 4
Step-by-step explanation:
If the owner wants to paint the deck area, how many square feet of paint will they need to purchase? Your answer should be rounded to the nearest tenth if necessary.
Answer:
9.4
Step-by-step explanation:
3*3.14
Help me solve these problems please
A plumber charges a $45 fee to make a house call and then $25 for each hour of labor. The plumber uses an equation in the form y = m x + b to determine the amount to charge each customer.
Answer:
Your final equation should be y = 25 x + 45
Step-by-step explanation:
The equation y = m x + b represents any linear equation. the m stands for slope, and the b stands for the y- intercept (when x = 0). To fill in the blanks you need to figure out which piece of information is which.
Let's start with the y intercept. y, in this equation stands for the cost. And since the y intercept is when x equals zero, you need the cost that doesn't relate to the time the plumber was at the house. That would be the 45 dollar fee you pay the plumber to go to your house.
Next, let's explain why the 25 dollars represents m (The slope) of this equation. You have to pay the plumber 25 dollars for every hour he spends at your house, so this cost goes up by 25 dollars every hour.
Your final equation should be y = 25 x + 45
you're welcome ;)
what is the solution to the system of equations graphed below?
y=x+3
y=3x+1
Answer:
(1, 4)
Step-by-step explanation:
y=x+3
y=3x+1
y=x+3
x+3=3x+1
x=3x-2
-2x=-2
x=1
y=1+3
y=4
Please help! I just need 1 more way !! i will mark brainliest
Answer:
f4
Step-by-step explanation:
Helphelphelp will mark brainliest
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h=−16t2+8t+48, where t is the time (in seconds) after he throws the marshmallow.
h= -16t^2+8t+48
Answer:
.18
Step-by-step explanation:
if ^2 is an exponent
(-16t*-16t)+8t+48
(258t+8t)+48
266t+48
48/266
.180
or .18
Write answer as a decimal or whole number :)
What % of $89.50 = $39.38
20 points
Allen's score in a video game was changed by −55 points because he missed some targets. He got −11 points for each missed target. How many targets did he miss?
Answer:
Allen missed 5 targets.
Step-by-step explanation:
You divide -55 by -11 to find how many targets he missed. But when you divide, you have to remember that a negative divided by a negative is a positive, so the answer will be postitive.
-55/-11=5
What is the value of x!
please help can you anser all the quistion please
Answer:
ummm its 2x24 because you still gotta add 3
Step-by-step explanation:
Answer:
Dang, It's called m a t h of the w a y
Step-by-step explanation:
It won't let me say the whole thing but yea use it it helps out alot. so yea Hope this helps :)
Yuto left his house at 10 a.M. To go for a bike ride. By the time Yuto's sister Riko left their house, Yuto was already 5.25 miles along the path they both took. If Yuto's average speed was 0.25 per minute and Riko's average speed was 0.35 per minute, over what time period in minutes,t, starting from when Riko left the house, will Riko be Behind her brother?
Answer:
The time period will be ;
10 am to 10 : 52 am
(Then she will catch up at exactly 10:52 am , 30 seconds)
Step-by-step explanation:
In this question, what we simply want to calculate is the amount of time it will take Riko to cover same distance as Yuto.
Mathematically, at any point in time;
Speed = distance/time
Let the time we are looking for be x minutes
At x minutes , Riko will be at a distance of 0.35 * x = 0.35x miles
At x minutes, Yuto will be at a distance of 5.25 miles + 0.25 * x = (5.25 + 0.25x) mikes
Kindly note that, at the time x minutes, the distance covered would have been equal;
Thus;
0.35x = 5.25 + 0.25x
0.35x -0.25x = 5.25
0.1x = 5.25
x = 5.25/0.1
x = 52.5 minutes
Over a time period of 52.5 minutes, Riko will be behind her brother ;
Since Yuto left at 10 am, the time period will be ;
10am to 10:52 am
Answer:
Sample Response: The solution means that Riko will be behind Yuto from the time she leaves the house, which corresponds to t = 0, until the time she catches up to Yuko after 52.5 minutes, which corresponds to t = 52.5. The reason that t cannot be less than zero is because it represents time, and time cannot be negative.
Step-by-step explanation: Striaght from Egde2020
Please help!! Thank you ;)
Answer:
-1/3
Step-by-step explanation:
slope is rise over run so on this one you had to count down to -2 for the rise and count to 6 then simplify to make -1/3
The slope of the line will be equal to 1 / 3. The correct option is D.
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run.
The formula to calculate the slope of the line is,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The given coordinates of the point passing through the line are (-3,4) and (3,2).
The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 4- 2 ) / ( 3 + 3 )
Slope = 2 / 6
Slope = 1 / 3
Therefore, the slope of the line will be equal to 1 / 3. The correct option is D.
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POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
(6)
Answer:
Hypothesis: it is hot
Conclusion: It is July.