Hey, I have some questions on some math problems for Algebra 2. Think you can help? Here's the first one :)
Some investments in the stock market have gained 10% annually. the total value of the investment, A, and this rate can be found using A= P(1.10)^n where P is the initial value of this investment, and N is the number of years the money is invested. if $1,000 is invested in the stock market at this annual rate of return, what is the expected total value after 18 years?
1. $4,054.47
2. $5,559.92
3. $18,700.00
4. $19,800.00
I originally thought it was $18,700.00 but I don't know
Solve 3x+11= k for x.
A. x=3k-11
B. x=k-11
C. k+11
x=———
3
D. k-11
x= ———
3
What’s the answer?
None of the answers listed are correct.
3x + 11 = k
SUBTRACT 11 from both sides:
3x + 11 = k
-11 -11
You are then left with:
3x = k-11
DIVIDE 3 by both sides:
3x/3 = k-11/3
You are then left with:
x= k-11/3
The value of x for the equation 3x + 11 = k is [tex]\frac{k-11}{3}[/tex].
What is linear equation in one variable?
The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question.
We have a linear equation in one variable
[tex]3x + 11 = k[/tex]
For the above equation the value of x is given by
[tex]3x + 11 = k[/tex]
⇒[tex]3x = k -11[/tex] ( subtracting 11 from both the sides)
⇒[tex]x = \frac{k-11}{3}[/tex] ( dividing both the sides by 3)
Hence, the value of x for the equation 3x + 11 = k is [tex]\frac{k-11}{3}[/tex].
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(Please Help For Examination) A sweet stall was placing order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger dimensions 15cmx12cmx5cm. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs.4 for 1000cm(square), Find the cost of cardboard required for supplying 250 boxes of each kind.
There is 30\100 of a liter of orange juice on one container and 5\10 of a liter of pineapple juice in another container. If Mrs. Morales combines the two juices ,how much orange-pineapple juice will she ? Explain how you found your answer.
Triangle ABC is similar to triangle DEF. The length of AC---- is 12 cm. The length of EF--- is 15 cm. The length of DF---- is 9cm.
What is the length of BC----?
Enter your answer in the box
____ cm
The triangle ABC and triangle DEF are similar so the value of the length of BC is 20 cm and this can be determined by using the properties of a similar triangle.
Given :
Triangle ABC is similar to triangle DEF.The length of AC is 12 cm. The length of EF is 15 cm. The length of DF is 9cm.The following steps can be used to determine the length of BC:
Step 1 - According to the given data, triangle ABC is similar to triangle DEF.
Step 2 - So, according to step 1:
[tex]\rm \dfrac{AC}{DF} = \dfrac{BC}{EF}[/tex]
Step 3 - Substitute the values of length AC, DF, and EF in the above equation.
[tex]\rm \dfrac{12}{9} = \dfrac{BC}{15}[/tex]
Step 4 - Multiply 15 on both sides in the above expression.
[tex]\rm \dfrac{12}{9}\times 15 = BC[/tex]
Step 5 - Simplify the above expression in order to get the value of the length BC.
BC = 20 cm
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There are twenty-three red marbles and two blue marbles in a box. a marble is randomly chosen from the box, its color noted, then put back in the box. this process is repeated. what is the probability that (a) the first marble is blue? (b) the first four marbles are red? (c) the first four marbles are red and the fifth is blue?
Look at the picture below // 50 points // PLEASEE HELPP
Explain how to find the range of a data set. what is an advantage of using the range
To find the range you would have to but the data(numbers) in order from least to greatest, then subtract the smallest number from the largest. The disadvantage of using range is that it does not measure the spread of the majority of values in a data set it only measures the spread between highest and lowest values. As a result, other measures are required in order to give a better picture of the data spread.
if y varies directly as x, and y=6 as x=-1, find y for the x-value of 5
Answer:
[tex]y=-30[/tex]
Step-by-step explanation:
we are given
y varies directly as x
so, we can write equation as
[tex]y=kx[/tex]
where
k is constant of proportionality
We have
at x=-1 , y=6
so, we can use it to find k
[tex]6=k(-1)[/tex]
so, we get
[tex]k=-6[/tex]
now, we can plug it back
[tex]y=-6x[/tex]
now, we can plug x=5
and we get
[tex]y=-6\times 5[/tex]
[tex]y=-30[/tex]
7. What is the solution to the proportion below?
Captionless Image
y = 6/7
y = 18
y = 4.5
y = 24
I need some help with this math question. Please see attachment.
Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How far apart are Jacob and Sharon now?
Answer:
17.89
Step-by-step explanation:
please help me help!!!!!!!!!!!!
find the roots of the polynomial equation x^3-x^2+x+39=0
Two boats on opposite banks of a river start moving towards each other. They first pass each other 1400 meters from one bank. They each continue to the opposite bank, immediately turn around and start back to the other bank. When they pass each other a second time, they are 600 meters from the other bank. We assume that each boat travels at a constant speed all along the journey. Find the width of the river?
Let xx be the width of the river. It is given that, when they have met the first time, boat11 has travelled 14001400 m and boat22, (1400−x)(1400−x) metres.
When they meet for the second time, boat11 has travelled 600+(x−1400)=(x−800)600+(x−1400)=(x−800) m, and boat22, 1400+(x−600)=(x+800)1400+(x−600)=(x+800) m.
Note that, the relationship of the distances each traveled, is the same to both meetings. Thus,
14001400−x=x−800x+80014001400−x=x−800x+800⇒x=?⇒x=?Hope you can take it from here.What is the best estimation of mean for this data set.
5 is correct I did this quiz
5 is the best estimation of mean for the given data set.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
In the given data, the number of sites ae given in y axis and number of shield daters on x axis.
From the given dart let us construct a table
Number of sites Number of shield darters
2 3
3 1
4 4
6 2
7 3
8 1
9 1
By using the mean formula we get the mean as 5
Hence, 5 is the best estimation of mean for the given data set.
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Graph a system of equations to solve log (−5.6x + 1.3) = −1 − x. Round to the nearest tenth. From the least to the greatest, the solutions are:
ANSWER IS ::::: (-2.1)⇒0.2
Answer:
From least to the greatest, the solutions are: (-2.1) to (0.2)
Step-by-step explanation:
Given : Equation -[tex]log (-5.6x + 1.3) = -1-x[/tex]
To Solve : The equation
Step1 : Write the equation :
[tex]log (-5.6x + 1.3) = -1-x[/tex]
Step 2 : To solve the equation we plot the graph,
when we plot the graph the points where y=0 for value of x
Step 3: Points where y=0,x=-2.12 and 0.221 (shown in the attached graph)
Therefore, (x+2.12) and (x-0.221) are the solutions of the equation.
Round to nearest tenth x= -2.1 and 0.2
From least to the greatest, the solutions are: (-2.1) to (0.2)
Find the length of the side of the square that has the same area as a circle with radius r cm.
Answer:
Step-by-step explanation:
Definition of Square: a parallelogram whose area is equal to the product of its sides. The circle is a plane figure whose area is calculated by the formula r².
The length of the side of the square is .
Given:
The radius of the circle is = r cm.
Length of the side of square = a cm
Now,
Area of Square is = a²
Area of Circle = r²
Since, given that radius of a circle is equivalent to the length of the square, such that:
a² = r²
a² = r²
a =
a =
Thus, the value of the length of the square is r√π.
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I need help please Brainliest
Solve for all values of r 3r/r-5 - 2/r+3=r/r+3
MEDAL PLEASE HELP
A compact disc is designed to last an average of 4 years with a standard deviation of 0.9 years. What is the probability that a CD will last less than 3 years?
1.11%
13.35%
86.65%
100%
Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment
Answer:
Using a compass.Step-by-step explanation:
Using a compass ensures that the new segment has the same length as the original one. Taking a pivot point and then drawing a arc, this distance is the copy.
Jack bought two sweaters for $17.99 and a pair slacks for $25.50. including a 5 1/2% tax, how much was his total purchase?
The total cost of purchase of Jack is $ 45.88
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The cost of two sweaters is = $ 17.99
The cost of pair of slacks is = $ 25.50
So ,
The cost of two sweaters and pair of slacks = $ 17.99 + $ 25.50
= $ 43.49
Now the equation will be ,
The tax percentage on the cost of purchase = 5 1/2 %
= 5.5 %
The cost of purchase including the tax percentage =
The cost of two sweaters and pair of slacks x tax percentage
The cost of purchase including the tax percentage = 43.49 x ( 5.5/100 )
= $ 2.39195
So the equation will be ,
The total cost of purchase =
The cost of two sweaters and pair of slacks + cost of purchase including the tax percentage
The total cost of purchase = $ 43.49 + $ 2.39195
= $ 45.88195
≈ $ 45.88
Hence , the total cost of Jack's purchase is $ 45.88
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Round the answer to the nearest cent.
A 30% discount on $47.50 is $
Answer:
14. 25
Step-by-step explanation:
factor by grouping 5x^2+2x+40x+16
Alex is installing wooden flooring in his room. The room is rectangular in shape with length of 12 feet and width of 10 feet.
If the total cost of the wooden flooring is $600, what is the unit price of the flooring per square foot?
The quotient property of radicals requires the indices of the radicals to be the same. Does this mean that it is not possible to write es002-1.jpg as a single radical? Explain.
The radicands are powers of the same base, so they can be written using rational exponents.
Simplify the quotient of the exponential expressions by getting a common denominator and subtracting exponents.
The simplified expression is the 4th root of y
The expression can be written as a single radical by covertong the expression to a rational format such that both the denominator and numerator have the same base as y¼
Numerator = The 4th root of y³ = y¾Denominator = squareroot of y = y½Using indices :
Division sign signifies the powers should be subtracted[tex] \frac{y¾}{y½} = y^{¾ - ½} = y¼[/tex]
Therefore, the expression can be written as a single radical thus y¼
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which of the following systems of inequalities would produce the region indicated on the graph below PLZ HELP NEED ASAP!!!!!!!
Answer:
y>x+1;y<=10;x>=0
Step-by-step explanation:
A tree house is being constructed with support beams that create right triangles. If the legs of the triangle created measure 2.5 ft and 3 ft, what are the angle measures of the non-right angles?
39.8 and 50.2
68.5 and 21.5
87.6 and 2.4
56.4 and 33.6
Answer: 39.8 and 50.2
Step-by-step explanation:
Here, the triangles has the legs 2.5 ft and 3 ft.
Since, by the Pythagoras theorem,
Hypotenuses of the triangle,
[tex]=\sqrt{2.5^2+3^2}=\sqrt{6.25+9}=\sqrt{15.25}\text{ feet}[/tex]
Now, let [tex]\theta_1[/tex] and [tex]\theta_2[/tex] are the angles opposite to the sides 2.5 and 3 respectively,
Hence, by the law of sine,
[tex]\frac{sin\theta_1}{2.5}=\frac{sin\theta_2}{3}=\frac{sin90^{\circ}}{\sqrt{15.25}}[/tex]
When,
[tex]\frac{sin\theta_1}{2.5}=\frac{sin90^{\circ}}{\sqrt{15.25}}[/tex]
[tex]\implies sin\theta_1=\frac{2.5}{\sqrt{15.25}}=0.64018439966 [/tex]
[tex]\implies \theta_1=39.8055710923 \approx 39.8^{\circ}[/tex]
Similarly,
[tex]\frac{sin\theta_2}{3}=\frac{sin90^{\circ}}{\sqrt{15.25}}[/tex]
[tex]\implies sin\theta_2=\frac{3}{\sqrt{15.25}}=0.76822127959 [/tex]
[tex]\implies \theta_2=50.1944289077 \approx 50.2^{\circ}[/tex]
Hence, First option is correct.
I need help plz, i dont understand it, its english class, i dont like english class