Answer:
6 years
Step-by-step explanation:
i used a proportional approach
2 (the double)/ 4 years (the time it takes to double)
then compared it to
3(the triple)/ x amount of years
(like this)
[tex]\frac{2}{4} \ \frac{3}{x}[/tex]
then cross multipled
4 times 3= 12
then divided the 12 by the remaining 2 above the 4
Megan makes and sell slime online.
Answer:
44 containers
p=3y/q solve for y make sure to add steps pls
Answer:
Solving for y gives:
[tex]y = \frac{pq}{3}[/tex]
Step-by-step explanation:
Linear equations are the equations that are degree one equations. When it is asked to solve an equation for a specific variable that means that the specified variable has to be isolated on one side of the equation i.e. in the given question solving for y means isolating y on one side of the equation.
Given equation is:
[tex]p = \frac{3y}{q}[/tex]
Multiplication property of equality(Multiplying both sides by q)
[tex]p*q = \frac{3y}{q} * q\\pq = 3y[/tex]
Division property of equality(Dividing both sides by 3)
[tex]\frac{pq}{3} = \frac{3y}{3}\\\frac{pq}{3} = y[/tex]
Hence,
Solving for y gives:
[tex]y = \frac{pq}{3}[/tex]
Una parte de 25 000 dólares se invierte al 10% de interés, otra parte al 12 % y el resto al 16%. El ingreso anual total de las tres inversiones es de 3200 dólares. Además, el ingreso de la inversión al 16% es igual al ingreso de las otras dos inversiones combinadas. ¿Cuánto se invirtió a cada tasa de interés?
Answer:
$5000 at 10%, $10000 at 12% and 10000 at 16%Step-by-step explanation:
One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?==================
Let the parts be x, y and z
As per given we get below system of equations:
x + y + z = 250000.1x + 0.12y + 0.16z = 32000.1x + 0.2y = 0.16zSubstitute 0.1x + 0.2y in the second equation:
0.16z + 0.16z = 32000.32z = 3200z = 3200/0.32z = 10000Now we have:
x + y + 10000 = 25000 ⇒ x + y = 15000and
0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600Multiply the second equation and then subtract the first one:
10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000x + 1.2y - (x + y) = 16000 - 150000.2y = 1000y = 10000Then
x = 15000 - 10000 = 5000So the parts are:
$5000 at 10%, $10000 at 12% and 10000 at 16%An item that originally cost $12 is discounted 30%. What is the price of the item after the discount? Please give explanation or show work
Thank you
Please try to answer quickly thanks!
Reward is 16 Brainly points ;)
Answer: $8.4
Step-by-step explanation:
To find 30% of 12 first, we move the decimal point to the left two times. Now we have .3 next multiply it by twelve. (3.6) This number is 30% of 12. Lastly, subtract 3.6 from 12 to get your answer.
Paul opened a bakery. The net value of the bakery
(in thousands of dollars) t months after its creation is
modeled by
v(t) = 24
12t - 14
Paul wants to know what his bakery's lowest net
value will be
Rewrite the function in a different form
(factored or vertex) where the answer appears
as a number in the equation.
Answer: v(t)= 2(t-3)^2-32
-32 thousand dollars
Step-by-step explanation:
Did the quiz
Answer:
the first one is correct
Step-by-step explanation:
What is the first step equation=6x – 4x + 3 = 15
A.
Add 4x to both sides of the equation.
B.
Subtract 4x to both sides of the equation.
C.
Combined the variable terms on the left side of the equation.
D.
Combine the constant terms on the right side of the equation.
A pharmacologist measured the concentration of dopamine in the brains of several rats. The mean concentration was 1,269 ng/gm and the standard deviation was 145 ng/gm.4 What was the standard error of the mean if:_______.(a) 8 rats were measured?
(b) 30 rats were measured?
Answer:
51.265242 ng/gm ; 26.473257 ng/gm
Step-by-step explanation:
The standard error of the mean = standard deviation / √sample size
Given that:
mean concentration = 1,269 ng/gm
Standard deviation (s) = 145 ng/gm
Standard Error if 8 rats were measured :
Sample size (n) = 8
Standard Error = s / √n
Standard Error = 145 / √8
Standard Error = 145 / 2.8284271
Standard Error = 51.265242 ng/gm
If 30 rats were measured :
Standard Error = 145 / √30
Standard Error = 145 / 5.4772255
Standard Error = 26.473257 ng/gm
What is a combination of operations on letters and numbers?
A: Expression
B: Term
C: Factor
D: Variable
Answer:
A. Expression
Step-by-step explanation:
In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= -16? + 1500 gives the jumper's height hin feet during the free fall att seconds
a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h? no
Answer:
Step-by-step explanation:
Given function is h(t) = -16t² + 1500
a). For h(t) = 1000 feet,
1000 = -16t² + 1500
1000 - 1500 = -16t² + 1500 - 1500
-500 = -16t²
t² = [tex]\frac{500}{16}[/tex]
t = [tex]\sqrt{31.25}[/tex]
t = 5.59 sec
b). For h(t) = 940 feet,
940 = -16t² + 1500
940 - 1500 = -16t² + 1500 - 1500
-16t² = -560
t² = [tex]\frac{-560}{-16}[/tex]
t = [tex]\sqrt{35}[/tex]
t = 5.92 sec
c). For domain and range of the function,
When the jumper comes down to the ground,
h = 0
0 =-16t² + 1500
t² = [tex]\frac{1500}{16}[/tex]
t = [tex]\sqrt{93.75}[/tex]
t = 9.68 sec
Since, x-values on the graph vary from x = 0 to x = 9.68,
Domain : [0, 9.68]
Vertex of the quadratic function: (0, 1500)
Since, coefficient of the highest degree term is negative, parabola will open downwards.
Therefore, y-values of the function will vary in the interval y = 0 to y = 1500
Range: [0, 1500]
I have $100 and I want to buy tshirt that cost $10 and sweatshirts that cost $20 how many tshirts and sweatshirts can I buy
Answer:
10 tshirts or 5 sweatshirts
Step-by-step explanation:
One t-shirt + one sweatshirt = $30.
We know that $100 ÷ $30 = 3 times with $10 left over.
This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.
Find the distance of a line given the following points. R(3, 1), W(-1, -2)
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]
[tex]x_1, y_1[/tex] is (3, 1)
[tex]x_2, y_2[/tex] is (-1, -2)
[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]
which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]
then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]
your final answer is: [tex]\sqrt{13}[/tex] or about 3.61
In how many ways can you arrange the books A, B, C, and D on a bookshelf if books A and C must remain neighboring?
Sarah has saved 254 pound coins. She puts the pound coins into bags.
There are 20 pound coins in each full bag of coins. Sarah is going to take all her full bags of coins to the bank.
She can only take up to 5 full bags of coins to the bank each day.
Sarah wants to go to the bank on as few days as possible.
On how many days will Sarah need to go to the bank?
Answer:
Step-by-step explanation:
So for the fewest days it would be 3 days. The reason for that is because she has 254 pound coins. And she can inly take 5 bags to the bank a day, all of those 5 bags have 100 pound coins in them. If she take 2 days and get 200 pound coins to the bank. Then on the third day she would only have to bring three bags. So your answer for the fewest days possible is three days!
Hope it helps
sec²A-cosec²A=(tanA+cotA)(tanA-cotA)
Answer:
Step-by-step explanation:
Sec²A-cosec²A=(tanA+cotA)(tanA-cotA)
Tan^2A+1-cot^2A-1=(tan^2A-cot^2A)
tan^2A-cot^2A=tan^2A-cot^2A
L.H.S=R.H.S
Hence proved.
Which equation represents a linear function?
Group of answer choices
y – 5 = x(–x + 2)
y – 5 = x – 20
y(x – 1) = 9
y(y – 1) = x + 25
is -3/4 rational or irrational?
is the square root of 2 rational or irrational?
is 2π rational or irrational?
is 3.75 rational or irrational?
is 2 1/8 rational or irrational?
the ratio 60 miles per hour is an example of a because it has two measurements having different units of measure
Answer:
180
Step-by-step explanation:
Answer: ejejejwjfmfmdnc
Step-by-step explanation:
What is an equation of the line that passes through the points (4,1) and (8,-3)?
PLZZ HELPP MEE!!
Answer:
y=-x+5
Step-by-step explanation:
(4,1)
(8,-3)
1)a slope of a line is (y2-y1)/(x2-x1)
so (-3-1)/(8-4)
-4/4=>m=-1
2)to find y-int replace any points in the equation by x and y
so 1=-1(4)+b
1=-4+b
1+4=b
so b= 5
therefore the equation is y=-x+5 so d
Borrowers choosing an adjustable-rate mortgage
pay a higher interest rate during the first few years.
are often forced to sell their homes after the first year.
often pay a lower interest rate during the first few years.
agree to accept no risk when borrowing money.
Answer:
Often pay a lower interest rate during the first few years
Step-by-step explanation:
Option c on edge. 2020
Answer:
C
Step-by-step explanation:
help please!!!!! (QUESTION #3)!!!!!!!
Homer is 30 feet below sea level and Marge is 45 feet above sea level. Bart’s elevation is at the exact midpoint of those two values. What is the expression that model this problem, and which is Bart’s elevation?
Answer:
14.5 feet
Step-by-step explanation:
the midpoint is halfway from 30 to 45 so be(bart elevation) b.e = 45 - 30 / 2
7.5 m above sea level
__________________________________________________________
Step-by-step explanation:We are given:
The elevation of Homer = -30 feet [30 feet below sea level]
The elevation of Marge = +45 feet [45 feet above sea level]
The elevation of Bart is at the exact mid-point of the elevations of Homer and Marge
The elevation of Bart:
We are given that the elevation of Bart is at the exact mid-point of the elevations of Homer and Marge
So, Half the distance between the elevation of Homer and Marge is the elevation of Bart
Elevation of Bart (with respect to the elevation of Homer) =
(elevation of Marge - Elevation of Homer) / 2
replacing the variables with the suitable values:
(+45 - (-30))/2
(45 + 30) / 2
75 / 2
Elevation of Bart (w.r.t. Homer) = 37.5 feet
Since this is the elevation of Bart with respect to Homer, we can say that Bart is 37.5 m above Homer
So, we can say that:
Elevation of Bart (w.r.t Homer) = Elevation of Bart - Elevation of Homer
replacing the values
37.5 = Elevation of Bart -(-30)
37.5 = Elevation of Bart + 30
Elevation of Bart = 7.5 m above sea level [subtracting 30 from both sides]
Simplify each term. please help!! 30 points + brainliest :)
1. -(-3y)³
2. (2c)⁵
3. (-2m)⁴
4. (4g)³
5. (7j)²
6. (-5z)⁵
Answer:
1. 27y^3
2. 32c^5
3. 16m^4
4. 64g^3
5. 49j^2
6. -3125z^5
Step-by-step explanation:
Can you help answer my question too, please?
Write an equation in slope intercept form and in standard form for the line passing through (4,9) and perpendicular to x=-6
Answer:
Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020 hwgsvsd d jxvsd
dvsud sgsgs hsysvdudbd dvyd dhsgtsjd vsytwgsud gsyfwuyebdbhys. dusgcejd b
PLS HELP ME FAST WILL GIVE POINTS
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(9, 0), Q(6, 3), and R(−3, −6). Triangle P′Q′R′ has vertices P′(3, 0), Q′(2, 1), and R′(−1, −2). Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer:
The scale factor of the dilation that transforms the triangle is 1/3
Step-by-step explanation:
9x1/3 is 3. 6x1/3 is 2, etc.
Can anyone find the simplest radical form
Answer:
C.) [tex]55[/tex]
Step-by-step explanation:
Simplify the expression by finding the square root of 25:
[tex]\sqrt{x} =x*x\\\\\sqrt{25} =5*5\\\\11*5=55[/tex]
The answer is 55
:Done
Given: BD is perpendicular to AC, measure DBA = 7x+6. Find x
Answer:
x = 12
Step-by-step explanation:
[tex] \because BD \perp AC... (given) \\\\
\therefore m\angle DBA =90\degree... (1)\\\\
\because m\angle DBA=(7x + 6)\degree... (2)\\[/tex]
From equations (1) & (2)
[tex](7x + 6)\degree= 90\degree \\\\
7x + 6 =90\\\\
7x = 90 - 6\\\\
7x = 84\\\\
x = \frac{84}{7}\\\\
\huge \orange {\boxed {x = 12}} [/tex]
Pls answer professionally or with the right answer I’m beg you
Answer:
Step-by-step explanation:
Hello friend!!!
here's ur answer
1) <y = 180 - 74 = 106° ( linear pair )
<x = <y ( alternate angles )
therefore, <x = <y = 106°
2) <x = 68° ( corresponding angles )
<y = 180 - 68 = 112° ( linear pair )
<z = 112° ( vertically opposite angles )
Hope this helps
plz mark as brainliest!!!!!
10 workers produce 30 complex elements in 10 days. In how many days would 5
workers produce 24 elements?
Given:
10 workers produce 30 complex elements in 10 days.
To find:
The number of days, in which 5 workers produce 24 elements.
Solution:
According to the question, let as assume
[tex]n_1=10[/tex]
[tex]w_1=30[/tex]
[tex]d_1=10[/tex]
[tex]n_2=x[/tex]
[tex]w_2=24[/tex]
[tex]d_2=5[/tex]
where, n is number of workers, w is work done, and d is number of days.
We have, a formula,
[tex]\dfrac{n_1\times d_1}{w_1}=\dfrac{n_2\times d_2}{w_1}[/tex]
Substituting the values in the above formula, we get
[tex]\dfrac{10\times 10}{30}=\dfrac{x\times 5}{24}[/tex]
[tex]\dfrac{10}{3}=\dfrac{5x}{24}[/tex]
Isolate variable x.
[tex]\dfrac{10}{3}\times \dfrac{24}{5}=\dfrac{5x}{24}\times \dfrac{24}{5}[/tex]
[tex]\dfrac{240}{15}=x[/tex]
[tex]16=x[/tex]
Therefore, the required number of days is 16.
If f(x)= -4x + 3 and g(x) = 3x² + 2x - 4 find (f+g)(x)
Answer:
A
Step-by-step explanation:
We have the two functions:
[tex]f(x)=-4x+3\text{ and } g(x)=3x^2+2x-4[/tex]
And we want to find (f+g)(x).
Note that this is the same thing to f(x)+g(x). Therefore:
[tex]\begin{aligned} (f+g)(x)&=f(x)+g(x) \\ &=(-4x+3)+(3x^2+2x-4) \end{aligned}[/tex]
We simply substituted them for their equations.
Simplify. Combine like terms:
[tex]=(3x^2)+(-4x+2x)+(3-4)[/tex]
Add:
[tex]=3x^2-2x-1[/tex]
Hence, our answer is A.
Jack has a saving account of value $65,550 at the start. The saving account has an interest rate of 3% that is compounded every six months. How long will it take Jack to have $100,000 in his account?
Given:
Principal value = $65,550
Rate of interest = 3% compounded every six month
To find:
The taken to have $100,000 in Jack's account.
Solution:
The formula for amount is
[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]
where, P is principal, r is rate of interest, n is number of times interest compounded in an year, t is time in number of years.
Interest compounded every six month. It means, interest compounded 2 times in an year.
Substitute A=100000, r=0.03 and n=2 in the above formula.
[tex]100000=65550(1+\dfrac{0.03}{2})^{2t}[/tex]
[tex]\dfrac{100000}{65550}=(1+0.015)^{2t}[/tex]
[tex]1.525553=(1.015)^{2t}[/tex]
Taking log on both sides.
[tex]\log (1.525553)=\log (1.015)^{2t}[/tex]
[tex]\log (1.525553)=2t\log (1.015)[/tex]
[tex]\dfrac{\log (1.525553)}{2\log (1.015)}=t[/tex]
[tex]t=14.1838928[/tex]
[tex]t\approx 14.18[/tex]
Therefore, after 14.18 year the amount will reach at $100,000 or we can say that in 15th year the amount will reach at $100,000.