Answers
Answer:
$10955.6157151671
Step-by-step explanation:
Amount [A] = [tex]P(1+r)^{t}[/tex]
Here, P = principal (which is $5000)
r = rate of interest in decimal form(which is 0.04)
t = time in years (which is 20)
Substituting,
[tex]$5000(1+0.04)^{20}[/tex] = $10955.6157151671
Related Questions
How do we calculate=
x+5/x + x+8/x-1= ?
Answers
Answer:
⇒8(x−1)=5x
⇒8x−x=5x
⇒8x−5x=8
⇒3x=8
⇒x=
3
8
find the sum. 1-2+3-4+5-6+7-8...99-100
Answers
Answer:
-50
Step-by-step explanation:
1 - 2 + 3 - 4 + 5 - 6 + 7 - 8...99 - 100
just means,
1 - 2 = -1
3 - 4 = -1
5 - 6 = - 1
7 - 8 = - 1
99 - 100 = -1
basically, -1 + -1 + -1 + -1 + ....+ -1 or -1 - 1 - 1 - 1 - ... - 1
[tex](-1)^{n}[/tex]
Treating Grandi's series as a divergent geometric series we may use the same algebraic methods that evaluate convergent geometric series to obtain a third value:
S = 1 − 1 − 1 + ..., so
1 − S = 1 − (1 − 1 − 1 ...) = 1 − 1 − 1 ... = S
1 - S = S
1 = 2*S
resulting in S = 1/2. The same conclusion results from calculating −S, subtracting the result from S, and solving 2S = 1
1/2 of the last term is 100 x 1/2 = 50
This because you are using 2 numbers per -1
example: 1 - 2 = -1 or 3 - 4 = -1 resulting in 50 of the -1 being subtracted
Given the side measurements. classify the triangle as acute, right, obtuse, or not a triangle. 11, 4, 16
Answers
Answer: not a triangle
Step-by-step explanation:
If this were to be a triangle, the shorter sides would be 11 and 4 and the longest side would be 16.
First, we should determine if it is a triangle.
Sum of shorter sides = 15 This is less than the longest side, 16, so therefore, it is not a triangle.
If you draw a card out of a deck of cards at random, what is the probability
that you will draw a 6?
Answers
Answer:
[tex]\frac{1}{13}[/tex]
Step-by-step explanation:
Probability is the number of favorable outcomes divided by the number of total outcomes. The total outcomes are all the situations that could possibly happen. There are 52 cards in the deck, so there are 52 total outcomes. Next, the favorable outcomes are the outcomes we want. In this case it is drawing a 6. There are four 6's in a deck of cards: 6 of hearts, 6 of spades, 6 of diamonds, and 6 of clubs. This means there are 4 favorable outcomes.
We can write the probability as a fraction: [tex]\frac{favorable-outcomes}{total-outcomes}[/tex], so we can get [tex]\frac{4}{52}[/tex]. Since both 4 and 52 are divisible by 4, the fraction can be simplified to [tex]\frac{1}{13}[/tex].
Answer:
1/13
Step-by-step explanation:
that's the answer to the question
. A chef randomly pulls cupcakes from a box containing 6 cupcakes of the same shape and size. There is 1 cupcake with vanilla frosting, 3 cupcakes with chocolate frosting, and 2 cupcakes with pink frosting. He draws 1 cupcake and then draws out another cupcake without replacing the first one. Find the probability of picking 1 cupcake with chocolate frosting followed by another cupcake with chocolate frosting, and show the equation used, and solve it.
Answers
Answer:
Step-by-step explanation:
there is a 50/50 chance of getting a chocolate cupcake. :P
How do you know that △STU is similar to △PQR? Complete the sentence to explain your answer.
PLEASEE I NEED HELP!! PLEASE HURRY
Answers
△STU is mapped to △PQR with center of dilation (-1.5, -1.5) and a scale factor of 2 and reflected about the x-axis.
How to interpret Dilation of Triangles?
From the given graph, we can see that;
SU is 1.5 units and the corresponding side of the dilated figure is 3 units. Thus, the scale factor of dilation is; 3/1.5 = 2
Now, we can see clearly that it is reflected about the x-axis as the x-values remain negative in △STU while the y-values are now positive in △PQR.
Lastly, we can see the dilation was with center (-1.5, -1.5)
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3 yards 5 feet 6 inches x 7=
Answers
Answer:
1218 inches
Step-by-step explanation:
First, let's make our numbers equivalent to a certain unit. Preferably inches, since we can't turn inches into yards or feet, but we can turn yards and feet into inches.
3 yards is 9 feet, which when multiplied by 12 (12 inches in a foot) is 108.
5 feet times 12 is 60 inches.
6 inches is 6 inches.
108+60+6 is 174
Multiply all that by 7 and you get your answer of 1218 inches.
Hope this helps!
What’s the value of x?
Answers
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following
equation.ñ
y = 2x^2 -x + 6
Answers
Answer:
(1/4, 5 7/8)
Step-by-step explanation:
The vertex is the extreme point of the graph. Here, it is a minimum.
For this quadratic function, a graphing calculator can tell you exactly what the vertex is. (No approximation is required.)
__
The graphing calculator in the attachment shows the vertex is ...
(0.25, 5.875) = (1/4, 5 7/8)
Discuss the refusal of some individuals to answer questions by authorized Stats SA officials ?
Answers
Answer:
I think the letter B is a good idea for me to do the same as oneroure and I have a module that I can use to make sure that I have the right to use the periodic table to find the element name and its symbol then calculate the total amount of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between thank you
What is the measure of ø?
5 cm
20cm
Ø
Answers
Answer:
4 radians
Step-by-step explanation:
[tex]s = \theta r[/tex]
[tex]20 = 5 \theta[/tex]
[tex] \theta = 4[/tex]
Which of the following statements describe this sequence: 3, 6, 9, 12...?
I. This is an arithmetic sequence.
II. The expression used to find the nth term would be 3n.
III. The next term in the sequence is 36.
IV. The common ratio for this sequence is 3.
O I, II, III, and IV
O I, II, and IV
II and IV
I and II
Answers
The sequence is an arithmetic sequence and the expression used to find the nth term would be 3n option fourth I and II is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a sequence:
3, 6, 9, 12…
First term a = 3
Common difference d = 6 - 3 = 3
This is an arithmetic sequence.
nth term of the arithmetic sequence:
a(n) = 3 + (n-1)(3)
a(n) = 3n
Plug n = 5
a(5) = 3(5) = 15
Thus, the sequence is an arithmetic sequence and the expression used to find the nth term would be 3n option fourth I and II is correct.
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Please help I need it asap
Answers
Answer:
The answer is origin
Answer: orgin
Step-by-step explanation: orgin
I need the answer please
Answers
The graphed cosine function can either be:
cos(x + pi) or cos(x - pi).
Which is the equation of the graphed function?
We know that this function is a cosine function with a phase shift, so the general form is:
f(x) = cos(x + P).
Where P is the phase shift.
In the graph we can see that when x = 0, f(0) = -1
And we know that cos(pi) = -1 = cos(-pi)
Then we must have that:
f(0) = cos(P) = -1
By what we wrote above, we know that P can be either -pi or pi (because of the parity of the cosine). Let's say that P = pi, then the cosine function is:
f(x) = cos(x + pi).
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S 2. Let f(x) = x - k√x
a. Find a value of k such that the function has a critical point at x = 25.
b. Is the above critical point a local maximum, local minimum or neither? Show calculus to support your answer.
Answers
a. A critical point at x = 25 would mean f'(25) = 0 or doesn't exist. We have derivative
[tex]f(x) = x - k \sqrt x \implies f'(x) = 1 - \dfrac k{2\sqrt x}[/tex]
so that
[tex]f'(25) = 1 - \dfrac k{2\sqrt{25}} = 1 - \dfrac k{10} = 0 \implies \boxed{k=10}[/tex]
b. Taking the second derivative, we get
[tex]f''(x) = \dfrac k{4 x^{3/2}} = \dfrac5{2 x^{3/2}}[/tex]
At x = 25, the second derivative has a positive sign,
[tex]f''(25) = \dfrac 5{2 \times 25^{3/2}} = \dfrac 5{2\times5^3} = \dfrac1{50} > 0[/tex]
which means f(x) is concave upward around x = 25, so this critical point is a local minimum.
One manufacturer boxes screws so that each box weighs the same no matter what size the screws are. The graph shows the amount of allowed weight remaining in a given shipment depending on the number of boxes of screws already included.
What does the y-intercept represent in this situation?
the maximum weight allowed in a shipment
the minimum weight of a single box of screws
the minimum number of screws in a single box
the maximum number of single boxes for a shipment
Answers
Because x is the number of boxes in the shipment, we conclude that the correct option is "the maximum weight allowed in a shipment"
What does the y-intercept mean in this case?
Remember that for a function f(x), the y-intercept is given by f(0).
In this case, the graph represents the amount of allowed weight remaining in a shipment depending on the number of boxes of screws included.
Then the variable x represents "the number of boxes of screws in the shipment".
So when x = 0, there are no boxes.
Then the y-intercepts represents the remaining weight when there are no boxes of screws, which would be all the allowed weight on the shipment.
The correct option is:
"the maximum weight allowed in a shipment"
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Answer:
A
Step-by-step explanation:
the maximum weight allowed in a shipment
How to find x=?
How to solve step by step
Answers
Answer:
230 degrees
Step-by-step explanation:
draw a horizontal line from x and use congruent rule to have a full 360 degree circle. You can now subtract 60 and 70 from 360 degrees leaving you with 230 degrees as x
need help finding y-intercept and the x-intercept
Answers
Answer:
y-intercept = 1, x-intercept= -1/4
Step-by-step explanation:
Default equation of line:
y = mx+c , where m is the slope and c is the y-intercept.
So first we will find the slope from the values given in the table.
slope of line [tex]\frac{y1-y2}{x1-x2}\\= \frac{9-5}{2-1} \\= \frac{4}{1}\\ =4[/tex]
So take 1 random value of x and y from the table,
x =1 , y=5
5 = 4(1)+c
c = 5-4 = 1
so equation of line is y = 4x+1
and y intercept = 1
x intercept is the value of x when y = 0.
so given
y = 4x+1
0 = 4x+1
4x = -1
x = [tex]-\frac{1}{4}[/tex]
therefore x intercept = -1/4
What is The converse of p→q
Answers
Answer:
q→p
Step-by-step explanation:
The converse of p→q is q→p.
which means If q ,then p.
NO LINKS!!!
Basics of Transformations
Students were asked to create true statements about transformations. Circle the names of the students who correctly completed the task. Then, unscramble the underlined letters of the circled names to answer riddle of the bottom.
Answers
Answer:
The 6 names to circle are:
LavernaAlfonsoAutumnIgnacioKathyrnLawrenceThe underlined letters from those circled names are:
RNONTUGRNWRThe letters form the phrase [tex]\underline{\text{WR}}\ \underline{\text{ON}} \ \underline{\text{G}} \ \ \ \ \ \ \underline{\text{TU}} \ \underline{\text{RN}}[/tex] or "wrong turn". The spacing is done like that in the first version to show the various subgroups of letters.
Unfortunately the mentioned riddle at the bottom is cut off, so I don't know what the riddle is.
======================================================
Explanation:
Laverna is correct because a translation is applied. "Translation" in geometry settings means "shifting up/down/left/right". In this case, triangle JKL is shifted 5 units right and 3 units up.Alfonso is correct. If a figure is labeled ABCD going in clockwise orientation, then a translation will preserve said orientation. The orientation only flips when a reflection occurs.Autumn is correct. Why? Because reflections are isometries, meaning they preserve distances and lengths and angles. In other words, the two triangles are twin clones of each other.Willa is not correct. The prime notations go on the image and NOT the preimage. In other words, the prime notations go for the "after" and not the "before". Example: triangle JKL in Laverna's diagram is the preimage, while J'K'L' is the image. JKL is "before", and J'K'L' is "after".Ignacio is correct. The figure enlarges or shrinks (depending on the scale factor if its larger than 1, or smaller than 1). The orientation stays the same. Refer to Alfonso's scenario where I mentioned the orientation flipping only when a reflection happens.Napoleon is incorrect. A reflection ALWAYS changes the orientation. Consider a triangle ABC where the motions from A to B to C goes clockwise. A reflection will flip the orientation to make A to B to C go counterclockwise. Example: Reflections over non-horizontal lines swap the positions of left vs right, which is another way to see why the orientation swaps as well.Kathyrn is correct assuming no reflection operations are done.Titus is not correct. A rotation is not the same as a reflection. Though I should point out that two reflections simplify to a rotation. The mirror lines must intersect in some way. Parallel mirror lines will have two reflections lead to a translation.Lawrence is correct. The order P,Q,R is clockwise, and so is the order P', Q', R'. A rotation preserves orientation. In this case, a 180 degree rotation has been done. The rule for that is any (x,y) point turns into (-x,-y).Here's a summary table:
[tex]\begin{array}{|c|c|} \cline{1-2}\text{Student} & \text{Are They Correct?}\\\cline{1-2}\text{Laverna} & \textbf{Yes}\\\cline{1-2}\text{Alfonso} & \textbf{Yes}\\\cline{1-2}\text{Autumn} & \textbf{Yes}\\\cline{1-2}\text{Willa} & \text{No}\\\cline{1-2}\text{Ignacio} & \textbf{Yes}\\\cline{1-2}\text{Napoleon} & \text{No}\\\cline{1-2}\text{Kathyrn} & \textbf{Yes}\\\cline{1-2}\text{Titus} & \text{No}\\\cline{1-2}\text{Lawrence} & \textbf{Yes}\\\cline{1-2}\end{array}[/tex]
Put another way, here are the people to circle (i.e. the people who made true statements):
LavernaAlfonsoAutumnIgnacioKathyrnLawrenceIn the order presented above, the letters underlined are:
RNONTUGRNWRThrough a bit of trial and error, the letters make the phrase of:
[tex]\underline{\text{WR}}\ \underline{\text{ON}} \ \underline{\text{G}} \ \ \ \ \ \ \underline{\text{TU}} \ \underline{\text{RN}}[/tex]
I'm not sure what to do with the extra "RN". It might be a typo, or it might be the case your teacher wants you to ignore repeats like this.
simplify 1/x-10 / 9x/x2-9x-10
Answers
The simplified expression is [tex]\frac{-1}{9x} -9x - 10[/tex].
What is algebraic expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).
Here, the given expression
[tex]\frac{1}{x}+\frac{-10x/9}{x^2}-9x-10[/tex]
[tex]\frac{1}{x}+\frac{-10}{9x}-9x-10[/tex]
[tex]\frac{9-10}{9x} -9x -10[/tex]
[tex]\frac{-1}{9x} -9x - 10[/tex]
Thus, the simplified expression is [tex]\frac{-1}{9x} -9x - 10[/tex].
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What is the quotient of 552/58
Answers
The quotient of 552/58 is 276/29.
What is the quotient of a number?The quotient of a number is the result or the outcome when you divide two numbers together.
From the given information, the quotient of [tex]\mathbf{\dfrac{552}{58}}[/tex] is can be determined by dividing both the numerator and the denominator by (2):
i.e.
[tex]\mathbf{=\dfrac{276}{29}}[/tex]
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Enter the correct answer in the box. Write the sum of 12√23x13 + 14√23x13 in simplest form, if x > 0.
Answers
Answer:
26x^6 sqrt 23x
Step-by-step explanation:
the lenghts of five boxes are shown in the table which line plot shows the data from the table
Answers
Answer:
The bottom right line plot.
Step-by-step explanation:
In the table, 9 1/4 shows up twice. This can be represented in the line plot by putting 2 x's over the 9 1/4 point.
which properties justify the steps taken to solve the system?
{2x-4y=-6
{3x+2y=-1
drag and drop the answers into the boxes to match each step
Answers
Addition property of equality
division property of equality
multiplication property of equality
associative property of equality
subtraction property of equality
simplify
substitution property of equality
Answers
Answer:
X=-1
Y=1
Step-by-step explanation:
6x-12y
-18
) 6x + 4y
-
-2
Subtract the two equations
6x - 12y - (6x + 4y) = -18 - (-2)
Determine the sign
6x- 12y - 6x- 4y
=-18 + 2
Simplify
-12y
- Ay
=-18 + 2
Solve the equation
Substitute
6×+4
-2
Solve the equation
X=
Find the volume of the figure. Round your answer to the nearest tenth if necessary. Use 3.14 for T.
A cylinder has a radius of 7 meters and a height of 3 meters.
The volume of the cylinder is approximately
m³.
Answers
Answer:
[tex]\boxed{ \rm \: Volume_{(Cylinder)} \approx \: 461.6 \: {m}^{3} } \rm (rounded \: to \: nearest \: tenth)[/tex]
Step-by-step explanation:
Given dimensions:
Radius of the cylinder = 7 metresHeight of the cylinder = 3 metresGiven value of π :
π = 3.14To find:
The Volume of the cylinderSolution:
Here, we'll need to use the formulae of the volume of cylinder,to find it's volume.Its actually like a savior while solving these type of questions.
[tex] \pink{\star}\boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}\pink{\star}[/tex]
where,
π = 3.14r² = (radius)²h = heightPlug/substitute them onto the formulae,then simplify it using PEMDAS.
[We'll substitute the value of π later][tex] \rm \: Volume_{(Cylinder)} = \pi(7) {}^{2} \times 3[/tex]
[tex] \rm \: Volume_{(Cylinder)} = \pi(49)(3)[/tex]
[tex] \rm \: Volume_{(Cylinder)} = 147\pi \: [/tex]
Now substitute the value of π.[tex] \rm \: Volume_{(Cylinder)} = 147 \times 3.14[/tex]
[tex] \rm \: Volume_{(Cylinder)} = 461.58 \: {m}^{3} [/tex]
[tex] \boxed{\rm \: Volume_{(Cylinder)} \approx \: 461.6 \: {m}^{3}} \rm (rounded \: to \: nearest \: tenth) \: [/tex]
Hence, we can conclude that:
The volume of the cylinder is approximately
461.6 m³.
[tex] \rule{225pt}{2pt}[/tex]
This is Raoul’s solution for the equation x^2-6x-27=0:
STEP 1: x^2-6x-27=0
STEP 2: x^2-6x-27+27=0+27
STEP 3: x^2-6x+?=27+?
STEP 4: x^2-6x+9=27+9
STEP 5: 〖(x-3)〗^2=36
STEP 6: √[(x-3)^2]=√36
STEP 7a: x-3=36
STEP 8a: x=39
STEP 7b: x-3=-36
STEP 8b: x=-33
Answers
The solution to the Raoul's equation x² - 6x - 27 = 0 is x = 9; or x = -3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
x² - 6x - 27 = 0
Adding 27 to both sides:
x² - 6x - 27 + 27 = 0 + 27
x² - 6x = 27
Adding to both sides the square of half the coefficient of x, that is 9:
x² - 6x + 9 = 27 + 9
(x - 3)² = 36
taking square root of both sides:
√(x - 3)² = √36
x - 3 = ±6
x = 3 ± 6
x = 3 + 6 or; x = 3 - 6
x = 9; or x = -3
The solution to the Raoul's equation x² - 6x - 27 = 0 is x = 9; or x = -3
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A new computer loses 1/2 of its value every year. Which graph could represent the relationship between the year and the computer’s value?
SOMEONE HELP PLS, YOU’LL GET FREE EASY POINTS IF THE ANSWER IS RIGHT!!!!
Answers
Let's first consider: the fact that a new computer loses 1/2 of its value
⇒ third choice and fourth choice are eliminated
⇒ because of the graph project the computer's value as growing over
years
Now let's try to set up an equation:
After 1st year ⇒ Computer's value = [tex]total_.value*\frac{1}{2}[/tex]
After 2nd year ⇒ Computer's value = [tex]total_.value*\frac{1}{2}*\frac{1}{2}=total_.value*(\frac{1}{2} )^2[/tex]
After 3rd year ⇒ Computer's value =[tex]total_.value*\frac{1}{2}*\frac{1}{2}* \frac{1}{2}=total_.value*(\frac{1}{2})^3[/tex]
..... (Hopefully you see a pattern)
After x year ⇒ Computer's value = [tex]total_.value*(\frac{1}{2})^x[/tex]
Therefore, the equation is: [tex]total_.value*(\frac{1}{2})^x[/tex]
⇒that means the graph has to exponentially decreasing as it has
an exponent (meaning the function is exponential) and a base less
than 1 (meaning that the function is decreasing)
Answer: Choice (1)
Hope that helps!
Answer:
A
Step-by-step explanation:
After x year, computer's value will be (1/2)^x
So the graph has to exponentially decreasing.
Both A and B show decreasing value but B is linear. So B is incorrect
C and D show increasing value so they are both incorrect.
if u=6i-2j and v=-3i+7j, find u-v
Answers
[tex]\begin{cases} u=6i-2j\\\\ v=-3i+7j \end{cases}\qquad \begin{cases} < 6~~,~~-2 > \\\\ < -3~~,~~7 > \end{cases} \\\\[-0.35em] ~\dotfill\\\\ u-v\implies < 6~~,~~-2 > ~~ - ~~ < -3~~,~~7 > \\\\\\ < 6-(-3)~~,~~-2-7 > \implies < 6+3,-9 > \implies < 9,-9 > \implies 9i-9j[/tex]
Which graph shows the solution to the inequality?
Answers
Answer:
Option D graph
Step-by-step explanation:
x - 4 ≥ - 1
add 4 to both sides, x - 4 + 4 ≥ - 1 + 4
x ≥ 3
so x is greater than or equal to 3
- equal to means closed dot at 3
- greater than means arrow to the right of 3