Ricky's goal is not achievable. This is because selling 36 computers would not yield a profit of at least $10,000.
What is profit?A profit is earned when total revenue is greater than total cost.
Profit = total revenue - total cost.
Is Ricky's goal achievable?Given this function: p(x)=x^3-22x^2-240x substitute for x in the equation
(36)^3 - 22(36^2) - (240 x 36)
46,656 - 28,512 - 8640
=$9504
If he sells 36 computers, he would have a profit of $9504 and would not achieve his goal.
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How do I solve this problem using the quadratic formula?
Answer:
Step-by-step explanation:
a = -3 ; b = -6 ; c = -11
D = b² - 4ac
= (-6)² - 4*(-3)*(-11)
= 36 - 132
= - 96
[tex]\sqrt{D}=\sqrt{-96}=\sqrt{96i^{2}} =9.8i[/tex]
[tex]x =\dfrac{-b+\sqrt{D}}{2a} \ ; \ x =\dfrac{-6-\sqrt{D}}{2a}\\\\\\x=\dfrac{6+9.8i}{2*(-3)} \ ; \ x=\dfrac{6-9.8i}{2*(-3)}\\\\\\x=\dfrac{6}{-6}+\dfrac{9.8}{-6}i \ ; \ x=\dfrac{6}{-6}-\dfrac{9.8}{-6}i\\\\\\x=-1-\dfrac{4.9}{3}i \; \ x=-1+\dfrac{4.9}{3}i[/tex]
Its for a testt helpp
Answer:
the answer would be D) undefined
Step-by-step explanation:
above is what the graph should look like and in that graph there is no slope.
100 POINTS!!!!!!!!!!
the fiest answer is x=6 for the second one the answer is x=4
Step-by-step explanation:
x+15/5x+1 =15/35 then cross multiply
1st one
Answer:
x = 6 , x = 4
Step-by-step explanation:
A line parallel to a side of a triangle and intersecting the other 2 sides then divides those sides proportionally, that is
[tex]\frac{x}{18}[/tex] = [tex]\frac{28-21}{21}[/tex] = [tex]\frac{7}{21}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
3x = 18 ( divide both sides by 3 )
x = 6
(14)
[tex]\frac{x+5}{15}[/tex] = [tex]\frac{5x+1}{35}[/tex] ( cross- multiply )
15(5x + 1) = 35(x + 5) ← distribute parenthesis on both sides
75x + 15 = 35x + 175 ( subtract 35x from both sides )
40x + 15 = 175 ( subtract 15 from both sides )
40x = 160 ( divide both sides by 40 )
x = 4
show work
Solve for p.
p = 26.585
p = 21.985
p = 12.785
p = 8.185
Answer:
Second option
Step-by-step explanation:
Given the following equation:
[tex]\frac{p-4.6}{5.7} =\frac{6.1}{2}[/tex]
In order to find the answer, we have to simplify and isolate the variable, then add the decimals to solve for p.
[tex]\frac{p-4.6}{5.7} =\frac{6.1}{2}[/tex]
[tex]\frac{5.7(p-4.6)}{5.7} =\frac{6.1\times 5.7}{2}[/tex]
[tex]p-4.6=17.385[/tex]
[tex]p-4.6+4.6=17.385+4.6[/tex]
[tex]17.385+4.6=21.985[/tex]
[tex]p=21.985[/tex]
Hope this helps.
Answer:
p = 21.985 for K12
How to find the domain of a function algebraically.
Answer:
we make the denominator equal to zero then we get the domian
How much money must you deposit in a simple interest account to earn $500 in interest in 5 years at 4% annual interest?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$500\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &5 \end{cases} \\\\\\ 500=P(0.04)(5)\implies \cfrac{500}{(0.04)(5)}=P\implies 2500=P[/tex]
The amount of money, P, that will generate $500 at a 4% interest rate over 5 years is $2500.
What is simple interest?By definition, simple interest is the interest amount for a particular principal amount of money at some rate of interest.
Mathematically, simple interest is
I = Prt,
where I represents the simple interest on an amount of money, P, for t years at r rate.
Now it is given that,
Simple interest, I = $500
Interest Rate, r = 4% = 0.04
Time, t = 5 years
Since, Simple interest, I = Prt
⇒ P = I/rt
⇒ P = 500/(0.04*5)
⇒ P = 500/0.20
⇒ P = $2500
which is the required Principle amount.
Thus, the amount of money, P, that will generate $500 at a 4% interest rate over 5 years is $2500.
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A bicycle store costs $2450 per month to operate. The store pays an average of $60 per bike. The average selling price of each bicycle is $130. How many bicycles must the store sell each month to break even?
Think about what the question is asking... When does that cost reach 0?
[tex]f(x) =4500 -120x + 60x \\[/tex]
Solve for when f(x) = 0
[tex]0 = 4500 - 60 x \\-4500 = -60x\\4500 = 60x \\4500/60 = x\\x = 75[/tex]
The store breaks even when it sells 75 bikes.
Hope this helps!
:)
A car travels a distance of 540 km in 6 hours what speed did he travel at
Speed = Distance / time
Speed = 540 km / 6 hours
Speed = 90 km/hr.
Help!!! It’s an emergency I need the solution for y=3/4x
5/2x+2y=5
Find the area. Simplify your answer.
X+4
2x
Answer:
x² +4x
Step-by-step explanation:
Area of triangle= ½ ×base ×height
Given: base= 2x, height= x +4
Area of triangle
= ½(2x)(x +4)
= x(x +4)
= x(x) +x(4) (expand)
= x² +4x
Pleaseeeee helppp domain and range
Answer:
[tex]-5\leq x\leq 3[/tex]
Step-by-step explanation:
The reason is that if you count each line on the graph you see that it starts at -5 and ends at 3.
(Hint: each line on the graph is incrementing by 1)
Hope this helps! :)
Please mark as brainiest if this worked or ask me a question if you do not understand :)
the rate change of (3,0) and (0,9)
Answer:
rate of change is -3
A = (9 - 0) / (0 - 3) = 9 / -3 = -3
Step-by-step explanation:
make x the subject 4(x-3)/a = y
Answer:
here is an answer x = a*y+3
FIND THE VALUES OF X AND Y PLS HELP ASAP
Answer:
x=22, y=45
Step-by-step explanation:
y=45 by definition (180-90)/2
180 = 46 + 2x
x = 22
During second period, Jaylen completed a grammar worksheet. He got 3 questions correct and 12 questions incorrect. What percentage did Jaylen get correct?
Answer:
20%
Step-by-step explanation:
A total of 15 questions.
3 divided by 15 = .20 or 20%
Complete the remainder of the table for the given function rule
A candy store sells 3 different flavors of soda: orange, vanilla, and rootbeer. An order of soda comes with 4 different straw choices: paper, plastic, metal, and cardboard. How many unique ways can you order a soda with a straw? (you can only select one flavor with one type of straw. Place number of unique orders here:
I need this by tomorrow!!!!
Answer: 12
Step-by-step explanation:
Orange, paper
O, Plastic
O, M
O, C
V, paper
V, Plastic
V, metal
v, cardboard
RB, PAPER
RB, PLASTIC
RB, METAL
RB, CARDBOARD
3 + 2 > 8
/6 − 4 < −2
−3 − 8 ≤ 1
− /4 + 2 ≥ −4
−5 + 8 > 11
Answer:
These answers are not very easy
Complete the equation of the line whose slope is -2 and y-intercept is (0,3).
Answer:
y= -2x + 3
Step-by-step explanation:
Solve for x
2(x+3)-4(x-1)=10
Thanks!!!!!! :)
Answer:
x=0
Step-by-step explanation:
[tex]2(x+3)-4(x-1)=10\\\\2x+6-4x+4=10\\\\-2x+10=10\\\\-2x=10-10\\\\x=0/-2\\x=0[/tex]
What is the area of a square if the length of
one side is 5
6
7 yards?
Step-by-step explanation:
side = 5 yards
area = side × side = 5 yd × 5 yd = 25 yd²
side = 6 yards
area = side × side = 6 yd × 6 yd = 36 yd²
side = 7 yards
area = side × side = 7 yd × 7 yd = 49 yd²
Consider y+2=14x.
a. Complete the table for the equation.
x y
0
4
8
Answer:
-2, 54, 110
Step-by-step explanation:
When x = 0:
[tex]y + 2 = 14(0)[/tex]
[tex]y + 2 = 0[/tex]
Subtract 2 from both sides:
[tex]y = - 2[/tex]
When x = 4:
[tex]y + 2 = 14(4)[/tex]
[tex]y + 2 = 56[/tex]
Subtract 2 from both sides:
[tex]y = 54[/tex]
When x = 8:
[tex]y + 2 = 14(8)[/tex]
[tex]y + 2 = 112[/tex]
Subtract 2 from both sides:
[tex]y = 110[/tex]
If f(x)=2x^3-x+c and f(2)=10 then what's the value of c?
Answer:
c = -4
Step-by-step explanation:
If f(x) = 2x^3 - x + c and f(2) = 10, plug in 2 for the x values in the function and make the function output 10.
10 = 2(2^3) - 2 + c Now, we only have to deal with one variable, that is c.
10 = 2(8) - 2 + c
10 = 16 - 2 + c
10 = 14 + c
-4 = c After simplifying, we get that c is -4.
To check this, plug in 2 for x, and -4 for c in the function. If the function produces 10 as the result, the halleluja!
f(2) = 2(2^3) - 2 - 4
f(2) = 2(8) - 2 - 4
f(2) = 16 - 2 - 4
f(2) = 10
[tex]\\ \tt\hookrightarrow 2x^3-x+c=10[/tex]
[tex]\\ \tt\hookrightarrow 2(2)^3-2+c=10[/tex]
[tex]\\ \tt\hookrightarrow 2(8)-2+c=10[/tex]
[tex]\\ \tt\hookrightarrow 16-2+c=10[/tex]
[tex]\\ \tt\hookrightarrow 14+c=10[/tex]
[tex]\\ \tt\hookrightarrow c=-4[/tex]
On January 22 in 1943, the town of Spearfish, South Dakota, set the record for the world’s fastest temperature change. At 7:30 a.m., the temperature was `-4`°F. By 7:32 a.m., the temperature was `45`°F. By 9:00 a.m. the same day, the temperature was `54`°F. By 9:27 a.m., the temperature was `-4`°F. How many degrees did the temperature change each minute from 9:00 to 9:27? Make sure to show whether the change was positive or negative.
The average rate of change between from 9:00 to 9:27 is 2.15°F increase per minute
Linear equation
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept.
Let y represent the temperature at x time.
By 9:00 a.m. the same day, the temperature was 54°F. By 9:27 a.m., the temperature was -4°F
m = (-4 - 54)/27 minutes = -2.15
The average rate of change between from 9:00 to 9:27 is 2.15°F decrease per minute
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which function models the data in the table?
Answer:
(A) f(x) = 2 * [tex]4^{t}[/tex]
Step-by-step explanation:
[] We can find our answer by plugging the x values into the functions as t and solving.
-. Using this method, starting with the A function, we find that the first function models the data and we do not need to test the others. I still have shown the work for the others as it is good to check your work.
[✓] f(x) = 2 * [tex]4^{t}[/tex]
(1, 8) }{}{}{ f(x) = 2 * [tex]4^{1}[/tex] = 2 * 4 = 8
(2, 32) }{}{}{ f(x) = 2 * [tex]4^{2}[/tex] = 2 * 16 = 32
(3, 128) }{}{}{ f(x) = 2 * [tex]4^{3}[/tex] = 2 * 64 = 128
-> This pattern continues
[✗] f(x) = [tex]4^{t}[/tex]
(1, 8) }{}{}{ f(x) = [tex]4^{1}[/tex] = 4 ≠ 8
-> This function does not model the data as it does not fulfil the first point
[✗] f(x) = 4 * [tex]2^{t}[/tex]
(1, 8) }{}{}{ f(x) = 4 * [tex]2^{1}[/tex] = 4 * 2 = 8
(2, 32) }{}{}{ f(x) = 4 * [tex]2^{2}[/tex] = 4 * 4 = 16 ≠ 32
-> This function only models (1, 8) but does not fully model the data
[✗] f(x) = [tex]8^{t}[/tex]
(1, 8) }{}{}{ f(x) = [tex]8^{1}[/tex] = 8
(2, 32) }{}{}{ f(x) = [tex]8^{2}[/tex] = 64 ≠ 32
-> This function only models (1, 8) but does not fully model the data
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Write an inequality to represent the relationship of the weights.
Use `t` to represent the weight of the triangle in grams and `c` to represent the weight of the circle in grams.
ASAP PLEASEEE
Answer:
3t > 2c
Step-by-step explanation:
The left side has 3 triangles (therefore 3t) and the right side has 2 circles (therefore 2c).
Since the side with the triangles is heavier than the side with the circles, it is 3t > 2c.
The inequality to represent the relationship of the weights is 3t > 2c.
What is Inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
let t be the weight of the triangle in grams.
let c be the weight of the circle in grams.
from the figure,
Number of Triangle = 3
Number of Circle= 2
So, weight of triangle = 3t and weight of circle = 2c
Since the weight of triangle is greater than weight of circle.
Thus, the inequality is 3t> 2c.
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Given:SW is diameter of circleR
m\overarc ST = 30\degree
Prove: RTW = 15\degree
Check the picture below.
we know that the arcST is 30°, meaning the inscribed angle intercepting it will be half that or 15°.
in the triangle RWT, two sides of it are RT and RW, both of which are radius segments and thus equal, meaning that triangle RWT is an isosceles, and in an isosceles the twin sides also make twin angles, meaning that ∡RTW is a twin of the inscribed angle ∡RWT.
Jean has 11 trees in her yard and Anita has 8. Write the ratio of trees in Anita's yard to trees in Jean's yard
Answer:
The ratio is 11:8
Step-by-step explanation:
There's 11 trees in Jeans yard hence the first number of the ratio (11)
While Anita has 8, hence the second number in the ratio (8)
Therefore the ration of Jean's trees to Anita's is 11:8
Find the distance between (-4, -8) (3, 2)
Answer:
23 units
Step-by-step explanation:
root 149
Step-by-step explanation:
(5 sqr3 i)^2
i’m supposed to simplify it but i don’t understand how???
Answer:
-15625
Step-by-step explanation:
Import this equation onto Symbolab and It will show you all the steps for free.
