If $300 is invested at a rate of 5% per year and is quarterly, how much will the investment be worth in 20 years?
Answer:
\(300 {(1 + \frac{.05}{4}) }^{4 \times 20} = 810.45\)
The investment will be $810.45 in 20 years.
Choose the correct graph of the function
what is an equation of the line that is perpendicular to y - 3 = -4 x+2
Answer:
y-7=1/4(x+5)
Step-by-step explanation:
y-3=-4(x+2)
y=4(x+2)+3
y=4x+8+3
y=4x+11
perpendicular line has the opposite reciprocal of the function
y=-1/4 x+b to find the line passes through point (-5,7)
find b when x=-5 and y=7
y=7 or y-7=0
x=-5 or x+5=0
7=-1/4 (-5)+b
b=7+5/4
b=(28+5)/4=33/4
y=-1/4x+33/4
which is equivalent to
y-7=1/4(x+5)
{ (2,3) , (4,5) , (6,6) }
Answer:
???? did u type it correctly?
Ashot borrowed $225, and paid $108 as an interest of eight years. What was the annual interest rate?
Answer:
6%
Step-by-step explanation:
I asked this same exact question, no one got the right answer, so I just guessed, and what do you know, I got the answer right! So here you go.
Answer:
6%
Step-by-step explanation:
108 x%
------- = --------
225 100%
Sally made a profit of $2500 after selling stocks for $19000 after 2.5 years. What was her average annual percentage gain?
13.25%
6.06%
3.78%
Sally's average annual percentage gain is approximately 5.26%.
To calculate Sally's average annual percentage gain, we can use the formula:
Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100
Profit = $2500
Initial Investment = $19000
Time = 2.5 years
Substituting the values into the formula:
Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100
= (0.1316) * (0.4) * 100
= 5.26
Therefore, Sally's average annual percentage gain is approximately 5.26%.
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different equation dy÷dx+ytanx=secx
Answer:
First, we rearrange the equation to isolate the y-term on one side:
dy/dx + ytanx = secx
Then, we multiply both sides by the integrating factor, which is e^(∫tanx dx) = e^(ln|secx|) = |secx|: | secx| dy/dx + ysecx tanx = 1
Next, we can write this as the derivative of a product using the product rule: d/dx (y |secx|) = 1
Integrating both sides with respect to x, we get: y |secx| = x + C
where C is the constant of integration. Solving for y, we have:
y = (x + C)/|secx|
Note that there is a singularity at x = (2n + 1)π/2, where the denominator |secx| is zero. At these points, the solution is not defined
Researchers study the relationship between interpersonal violence and health in college age women. The selected an alpha of 0.05. The researchers wanted to see if there was a significant difference in the type of primary residence (home vs. student housing) for abused versus non abused college aged women. They report a p value of 0.35. You know this means:
Select There is an inadequate sample size. as your answer
There is an inadequate sample size.
Select A type II error has occurred. as your answer
A type II error has occurred.
Select There is a statistically significant difference in the type of primary residence for abused vs. non-abused college aged women. as your answer
There is a statistically significant difference in the type of primary residence for abused vs. non-abused college aged women.
Select There is not a statistically significant difference in the type of primary residence for abused vs. non-abused college aged women. as your answer
There is not a statistically significant difference in the type of primary residence for abused vs. non-abused college aged women.
Answer:
Explained below.
Step-by-step explanation:
A statistical hypothesis test is being performed to determine whether there was a significant difference in the type of primary residence (home vs. student housing) for abused versus non abused college aged women.
The hypothesis can be defined as:
H₀: There is no difference in the type of primary residence or abused versus non abused college aged women.
Hₐ: There is a significant difference in the type of primary residence or abused versus non abused college aged women.
The significance level of the test is:
α = 0.05
The computed p-value is:
p-value = 0.35
p-value = 0.35 > α = 0.05
The null hypothesis will not be rejected.
The p-value is inversely related to the sample size of the test.
That is, larger the sample size smaller is the p-value and smaller the sample size larger is the p-value.
A p-value of 0.35 is very large and unusual. This can happen because of the inadequate sample size selected.
As the p-value indicates an unusual result, it can be said that an error has been made while concluding that the null hypothesis is true, when in fact it is not.
This type of error is known as the type II error.
The correct decision should be:
There is a statistically significant difference in the type of primary residence for abused vs. non-abused college aged women.
This is Comparing Quantities
3 days to 40 hours
pls help me
Answer:
1 days= 24 hrs
3 days = 3×1 days
= 3×24 hrs
= 72 hrs
4x+6y=48 where x is the number of cars of vans?
Answer:
-3/2 y+12
or 12- 3y/2
Step-by-step explanation:
the lines are the line for a fraction not dividing
Answer:
the x- intercept shows they can take 12 cars and 0 vans.
the y intercept shows they can take 0 cars and 8 vans.
Step-by-step explanation:
What’s the correct answer answer asap for brainlist
Answer: its protein channels
Step-by-step explanation:
Integrate the following function:
Answer: a
Step-by-step explanation:
First term
\(\int \sqrt{10x-15} \mathrm{dx}\)
We can use the substitution u=10x-15, meaning dx = 1/10 du.
\(=\frac{1}{10} \int \sqrt{u} \mathrm{du}\\\\=\frac{1}{15}u^{3/2}+C\\\\=\frac{1}{15}(10x-15)^{3/2}+C\)
Second term
\(\int (10x-15)^{10} \mathrm{dx}\)
We can use the substitution u=10x-15, meaning dx = 1/10 du.
\(=\frac{1}{10} \int u^{10} \mathrm{du}\\\\=\frac{1}{110} u^{11}+C\\ \\ =\frac{1}{110}(10x-15)^{11}+C\)
Third term
\(\int \frac{1}{10x-15} \mathrm{dx}\)
We can use the substitution u=10x-15, meaning dx = 1/10 du.
\(=\frac{1}{10} \int \frac{1}{u} \mathrm{du}\\\\=\frac{1}{10} \ln u+C\\\\=\frac{1}{10} \ln(10x-15)+C\)
Adding these results, we get the answer to be a.
A rainstorm in Portland, Oregon, wiped out the electricity in 7% of the households in the city. Suppose that a random sample of 50 Portland households is taken after the rainstorm.
A Estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
B Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
The estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution is 3.5 and the quantify the uncertainty of your estimate by giving the standard deviation of the distribution is 1.64.
As per the question given,
Imagine you're in Portland, Oregon, and a rainstorm has just passed through, causing a power outage in 7% of the households in the city. Now suppose you take a random sample of 50 households to see how many of them were affected by the outage. How can you estimate the number of households in the sample that lost electricity, and how certain can you be of your estimate?
By using the binomial distribution with parameters n=50 and p=0.07, we can calculate that the average number of households in a random sample of 50 that lost electricity is 3.5. This means that we can expect around 3 or 4 households in the sample to have been affected by the power outage on average.
But we don't just want to know the average - we also want to know how much variation we can expect in our sample. By calculating the standard deviation of the distribution, we can see that the number of households that lost electricity in a sample of 50 is likely to vary by around 1.64 on average.
Of course, it's important to keep in mind that these calculations assume that our sample is random and representative of the population of Portland households, and that there are no dependencies or correlations between households that could affect the probability of losing electricity during the rainstorm. But armed with this information, we can make a reasonable estimate of the number of households affected by the power outage and have a sense of how uncertain our estimate is likely to be.
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in 1980, wind turbines in Europe generated about 5 gigawatt-hours of energy. Over the next 15 years, the amount of energy increase by about 59% per year.
NOT A MULTIPLE CHOICE
1a. Write a model giving the amount E of energy t years after 1980.
1b. Use your model determine how much wind energy was generated in 1984.
1c. Determine the year when 80 gigawatt-hours of energy were generated.
9514 1404 393
Answer:
1a. E = 5×1.59^t
1b. 32 GWh
1c. 1986
Step-by-step explanation:
1a. An exponential model looks like
f(t) = a·b^t
where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.
Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...
E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.
__
1b. For t=4, we have ...
E = 5·1.59^4 ≈ 31.96 ≈ 32
About 32 GWh was generated in 1984.
__
1c. The value of t for a given value of E is ...
E/5 = 1.59^t . . . . divide by 5
log(E/5) = t·log(1.59) . . . . take logarithms
t = log(E/5)/log(1.59) . . . . divide by the coefficient of t
For E = 80, the years after 1980 are ...
t = log(80/5)/log(1.59) ≈ 5.98
About 80 GWh were generated in 1986.
Write the first fifteen counting numerals for each of the bases below.
a. six (Only digits 0, 1, 2, 3, 4, 5 are used in base six.)
b. nine (Only digits 0, 1, 2, 3, 4, 5, 6, 7, 8 are used in base nine.)
a. What are the first fifteen counting numerals in base six?
(Use ascending order. Use a commasto separate answers as needed.)
maisto
Answer:
Step-by-step explanation:
a. 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 15, 20, 21, 22, 23
b. 1, 2, 3,,4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16.
The first fifteen counting numerals for number base six are 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 15, 20, 21, 22, 23.
The first fifteen counting numerals for number base nine are 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18
What is a number base ?A number base is the number of digits or combination of digits that a system of counting use to represent numbers.
A base can be any whole number greater than 0
a) First fifteen counting numerals for base six
1) 1
2) 2
3) 3
4) 4
5) 5
6) 10
7) 11
8) 12
9) 13
10) 14
11) 15
12) 20
13) 21
14) 22
15) 23
b) First fifteen counting numerals for base 9
1) 1
2) 2
3) 3
4) 4
5 ) 5
6) 6
7) 7
8) 8
9 ) 10
10) 11
11) 12
12) 13
13) 14
14) 15
15) 16
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(a) Write a formula for the distance between the points (x,y) and (4,6)
(b) If the distance
between above points is 9 units, write an equation.
.En el piso de una sala cuadrada
hay un total de 49 mosaicos grandes,
todos del mismo tamaño
Cuantos mosaicos ,colocado uno
a continuación del otro, completan la
longitud de una cuadrícula
de los lados
de la sala?
The number of mosaics tiles in each side of the square floor is 7 tiles.
What is a square ?Since a square has four equal sides and four equal angles, it is a regular quadrilateral. It may alternatively be explained as a rectangle with two neighboring sides that are of equal length.
A square can have many different characteristics. The following list includes some of a square's key characteristics.
A quadrilateral having four sides and four vertices is called a square.The square's four sides are equal to one another.A square's diagonals are parpendicular to one another.Each vertex of a square has a 90° internal angle.360° is the total of all interior angles.A square's diagonals are 90 degrees apart from one another.The diagonals are all the same length.A square is also referred to as a parallelogram since its sides are parallel.In a square, the diagonals are longer than the sides.The square is divided into two similar triangles by the diagonals.The total number of mosaic tiles = 49
Let the lenght of each side of the floor be x
Therefore,
x² = 49
⇒ x = 7
The number of mosaics tiles in each side of the floor is 7 tiles.
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2yd 9yd. 8yd. Surface area of rectangular
Answer:
5
Step-by-step explanation:
Two parallel lines passing the vertices with red line r at points (c, d) at (2, 10) and (0, b) at (0, 6) and blue line s intercepts (c, 0) at (2, 0) and (0, a) at (0, minus 4) Statements Reasons 1. given 2. application of the slope formula 3. distance from to equals the distance from to definition of parallel lines 4. application of the distance formula 5. substitution property of equality 6. inverse property of addition 7. substitution property of equality Which step of the proof contains an error? A. Step 5 B. Step 6 C. Step 2 D. Step 4
Answer:
transitive property
Step-by-step explanation:
Find the distance between (7,3) and (-3,-1). Round to the nearest tenth.
Answer:
22 ok i eo
Step-by-step explanation:
ok i will explaim
I am a number between 17 and 25. I am a multiple of 3. 6 is not a factor of mine.
Answer:
21
Step-by-step explanation:
3 times 7 equals 21 and you cant make 21 with 6
(please mark me brainliest if you get it correct)
Good Morning can I get some help please?
Answer:
5x + 10 = 25
Subtract 10 on each side to make x alone
5x = 15
divide by 5 on each side
x=3 so x=3
3x + 12 = 48
48-12=36
3x=36
divide by 3
x=12
4x + 8 = 16
4x = 8
x=2
2x + 15=25
2x=10
x=5
5x + 20 = 50
5x=30
x=6
hope this helps
1. 3
2.12
3.2
4.5
5.6
Step-by-step explanation:
Answer:
x = 3x = 12x = 2x = 5x = 6Step by step explanation
First:
Move the constant to the Right Hand Side and change its signCalculate the differenceDivideCalculateSolution,
1. 5x + 10 = 25
Move constant to the R.H.S and change its sign:
5x = 25 - 10
Calculate the difference
5x = 15
Divide both sides by 5
5x/5 = 15/5
calculate
X = 3
2. 3x + 12 = 48
or, 3x = 48 - 12
or, 3x = 36
or, 3x/x = 36/3
x = 12
3. 4x + 8 = 16
or, 4x = 16 - 8
or, 4x = 8
or, 4x/x = 8/4
x = 2
4. 2x + 15 = 25
or, 2x = 25 - 15
or, 2x = 10
or, 2x/x= 10/2
x = 5
5. 5x + 20 = 50
or, 5x = 50-20
or, 5x = 30
or, 5x/x = 30/5
x = 6
Hope this helps...
Good luck on your assignment...
please help me asap please
Answer:
1. choice number 3
2. choice number 1
3. choice number i dont know
Step-by-step explanation:
COULD YALL HELP ME ?!???!
Answer:
28 degrees
Step-by-step explanation:
We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.
By combining like terms, we get 6x + 12 = 180.
Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.
If 2x-y=9 and 3x+4y=19, then y=
Answer:
x = 5
y = 1
Step-by-step explanation:
2x - y = 9
3x + 4y = 19
We multiply the first equation by 4
8x - 4y = 36
3x + 4y = 19
11x = 55
x = 5
Now we put 5 in for x and solve for y
2(5) - y = 9
10 - y = 9
-y = -1
y = 1
Let's Check the answer
2(5) - 1 = 9
10 - 1 = 9
9 = 9
So, x = 5 and y = 1 is the correct answer.
yall what is 2 divided by 4/9
Answer:
4.5
Step-by-step explanation:
2/1 x 9/4 = 18/4 = 4.5
Answer:
4.5 is your answer
Step-by-step explanation:
hope it helps
Find the missing side of the triangle.A. √337 kmB. √193 kmC. √112kmD. √5 km
From the given picture, we have a right triangle and we can apply Pythagorean theorem to find x, that is,
\(x^2=12^2+7^2\)which gives
\(\begin{gathered} x^2=144+49 \\ x^2=193 \end{gathered}\)Then, by applying square root in both side, we get
\(x=\sqrt[]{193}\text{ km}\)Then, the answer is option B.
Find the points on the curve y = 2x3 + 3x2 − 12x + 3 where the tangent line is horizontal.
the tangent is only horizontal at the critical points of the equation, so
\(y=2x^3+3x^2-12x+3\implies \cfrac{dy}{dx}=6x^2+6x-12\implies \cfrac{dy}{dx}=6(x^2+x-2) \\\\\\ \stackrel{\textit{setting the derivative to 0}}{0=6(x^2+x-2)}\implies 0=x^2+x-2 \\\\\\ 0=(x+2)(x-1)\implies \boxed{x= \begin{cases} -2\\ 1 \end{cases}} \\\\[-0.35em] ~\dotfill\\\\ y=2(-2)^3+3(-2)^2-12(-2)+3\implies y=-16+12+24+3\implies \boxed{y=23} \\\\\\ y=2(1)^3+3(1)^2-12(1)+3\implies y=2+3-12+3\implies \boxed{y=-4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \text{\LARGE (-2~~,~~23)\qquad (1~~,~~-4)}~\hfill\)
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines
Answer:
D. A pair of intersecting lines
Step-by-step explanation:
A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.
I hope this helps you ace your math question.
Find the volume of the solid.
Answer:
64cm³
Step-by-step explanation:
( 4 x 4 x 4) cm x cm x cm