If two years ago, his account was worth $215,613. After losing 13 of its original value, it then gained 12 of its new value back. The current value of his Roth IRA is: $215,613.
Current valueFirst step is to calculate the value loss
Value loss=1/3× original value
Value loss= 1/3× $215,613
Value loss= $71,871
Second step is to calculate the new value
New value=$215,613-$71,871
New value= $143,742
Third step is to calculate the value gained
Value gained= 1/2× new value
Valued gained=1/2× $143,742
Valued gained=$71,871
Fourth step is to calculate the current value
Current value= $143,742+$71,871
Current value=$$215,613
Therefore If two years ago, his account was worth $215,613. After losing 13 of its original value, it then gained 12 of its new value back. The current value of his Roth IRA is: $215,613.
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How many Arithmetic means must be inserted between 1 and 36 so that the
sum of the resulting arithmetic progression shall be 148 ?
The Arithmetic means will be inserted between 1 and 36 such that the
sum of the resultant arithmetic progression will be 148 is 8.
What is defined as arithmetic progression?The distinction between the 2 arithmetic orders is a constant value in Arithmetic Progression (AP). Another name for it is Arithmetic Sequence.
We'd arrive along all a few key words in AP, which were denoted as:
The first term (a)Common difference (d)Term nth (an)The total of first n terms (Sn)The AP can also be defined in terms of common distinctions, as illustrated below.
The method of calculating an AP's n-th term is as follows: an = a + (n − 1) × dThe following is the arithmetic progression sum: Sn = n/2[2a + (n − 1) × d].Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ...... = an - an-1.Now, for the stated question;
Assume the first term is'a₁' = 1.
The last term of the series that is nth term is 'a₃₆'.
The sum of all digits between 1 and 36 is given as 148.
Thus, Sn = 148
Substitute the value in the sum formula.
Sn = (n/2)×(a₁ + a₃₆)
148 = (n/2)×(1 + 36)
148 = (n/2)×(37)
n = (148×2)/37
n = 8.
Thus, the total number of Arithmetic means that can be inserted between 1 and 36 is 8.
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About how many times as great is 2.1 x 10^8 compared to 1.9 ×10^6
Answer:
2.1 x 10^8 compared to 1.9 ×10^6 is 110.53 times greater.
Answer:
Step-by-step explanation:
About how many times as great is 2.1 x 10^8 compared to 1.9 ×10^6
A function is defined by f(x) = (x + 2)/x, where x * 0. Find f-¹(x)
The value of f-¹(x) for the function f(x) = (x + 2)/x is y = 2/(x-1).
The inverse of a function f is denoted by f-¹ and it exists only when f is both one-one and onto function. An inverse function in mathematics is function which "reverses" the another function.
For example, If function f which is applied to input a gives result b and then applying inverse of the function g to b, it gives result a and vice versa.
It can be written as:
f(a) = b if and only if g(b) = a or, f⁻¹ (b) = a
In order to calculate the inverse of function f(x) = (x + 2)/x just simply swap the x and y, and solve the resulting equation for the x.
So, we have f(x) = (x + 2)/x, swap the variable x by y, we get
f(x) = (y + 2)/y ............(1)
Now, solving the above equation x = y+2/y for y.
⇒y = 2/(x-1)
∴ The value of f-¹(x) for the function f(x) = (x + 2)/x is y = 2/(x-1).
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Given: 0= 51°
opposite = 15
Find: sin 0 =
Answer:
Given: Ø = 51°
opposite = 15
Find: sin Ø =
It doesn't matter what else you throw into the picture,
if Ø = 51° then sin Ø always equals 0.7771
What is the value of x?
1. 20
2. 17
3. 28
4. 36
Kevin hiked Bright Angel Trail that gains as miles of elevation up the mountain. Kevin then hikes down
Bright Angel Trail to where he started his hike. Which best describes the total gain in elevation for the entire
hike?
Answer:
Step-by-step explanation:
AnAnAn
Which graph is a parabola?
Answer:
The third one from the left
Step-by-step explanation:
Polynomial
[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]
is written in standard form.
What is the coefficient with x in that form?
Step-by-step explanation:
[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]
Coefficient of x is 3
It is usually an integer that is multiplied by the variable and written next to it. The variables which do not have a number with them are assumed to be having 1 as their coefficient. For example, in the expression 3x, 3 is the coefficient of x but in the expression x2 + 3, 1 is the coefficient of x2.
[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]
[tex] = \left(2187 x^{7} + 10206 x^{6} + 20412 x^{5} + 22680 x^{4} + 15120 x^{3} + 6048 x^{2} + 1344 x + 128\right)\cdot \left(x^{7} - 7 x^{6} + 21 x^{5} - 35 x^{4} + 35 x^{3} - 21 x^{2} + 7 x - 1\right)=2187 x^{14} - 5103 x^{13} - 5103 x^{12} + 17577 x^{11} + 4347 x^{10} - 26649 x^{9} - 1869 x^{8} + 22931 x^{7} + 1246 x^{6} - 11844 x^{5} - 1288 x^{4} + 3472 x^{3} + 672 x^{2} - 448 x - 128 [/tex]
Which of the following points lie on the line whose equation is y - 4=3/5(x+1)?
(9, 10)
(4,8)
(-1,0)
(1,5)
(-6, -1)
[tex]y-y_{1} = m (x-x_{1})[/tex]
is the linear equation format for point slope here
(-1, 0) would lie on the line
I have a height of a shadow that is 523 in the height of myself and my shadow 64 in and 180 in i need to cross multiply to find out what the height of the tree is
The height of the tree is 186 inches if Shadow of tree is 523 inch shadow of human is 180 inch height of human is 64 inch.
What is cross multiplication?Cross multiplication occurs when the numerator of the first fraction is multiplied by the denominator of the second fraction, and the numerator of the second fraction is multiplied by the denominator of the first fraction.
We have given information that
Shadow of tree = 523 inch
Shadow of human = 180 inch
Height of human = 64 inch
height of tree = x
Lets solve this with cross multiplication
⇒ [tex]\frac{64}{180} = \frac{x}{523}[/tex]
⇒ 180 × x = 64 × 523
⇒ x = (64 × 523)/180
⇒ x = 185.95
= 186 approx.
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A jar contains 100 marbles. There are 21 blue marbles, 19 green marbles, 37 red marbles, and 23 yellow marbles. What is the probability of randomly selecting a yellow marble? Enter the correct answer
The probability of getting yellow marbles is 0.23.
What is probability?Probability is the measure of the likelihood that an event will occur in a Random Experiment.
Experiment: A trial or an operation conducted to produce an outcome is called an experiment.
Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.
Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).
Trial: A trial denotes doing a random experiment.
Given:
Total marbles= 100
blue marbles = 21
green marbles= 19
red marbles = 37
yellow marbles= 23
So, the probability of randomly selecting a yellow marble
= 23/100
= 0.23
Hence, the probability of randomly selecting a yellow marble is 0.23.
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(8 + 7) (6-√(-81) alguien me ayuda por favor
Answer:
45 (-3 i + 2)
Step-by-step explanation:
Simplify the following:
(8 + 7) (-sqrt(-81) + 6)
Hint: | Evaluate 8 + 7.
8 + 7 = 15:
15 (-sqrt(-81) + 6)
Hint: | Express sqrt(-81) in terms of i.
sqrt(-81) = sqrt(-1) sqrt(81) = i sqrt(81):
15 (6 - i sqrt(81))
Hint: | Factor common terms from -(i sqrt(81)) + 6.
Factor 3 out of 6 - 9 i giving 3 (2 - 3 i):
15×(3 (-3 i + 2))
Hint: | Multiply 15 and 3 together.
15×3 = 45:
Answer: 45 (-3 i + 2)
Write 0.925 as a percent and as a simplified fraction.
O 92.5% and 37
O 92.5% and 37
O 925 % and 37
40
O 9.25 % and
925
1000
0.925 as a percentage is 92.5 and as a simplified fraction is 37/ 40, that is, option A.
Here, we are given a decimal number- 0.925
we can write the number as follows-
0.925 = 925/1000
dividing both the numerator and denominator by 25 we get-
37/40
Thus, the number 0.925 as a simplified fraction comes out to be 37/ 40.
Now, we need to convert it into percentage form. Per cent simply means the value of a number per 100.
We can simply multiply 925/ 1000 by 100 to get the percent value as follows-
925/ 1000 × 100
= 925/ 10
= 92.5
Thus, 0.925 as a percentage is 92.5%.
Hence, option A, is the correct option.
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Can you solve?
John is told to find 3 specific marbles within a box of 60 marbles. The room is dark and he can’t see the marbles properly. He pours out 20 of these marbles, and blindly chooses 3 of them.
What are the chances he chooses the 3 specific marbles he was told to find?
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Answer:
1/20 are the chances to find the specific marble
Step-by-step explanation:
if he randomly gets 3 out of the 20 marbles then the chances are not high
I hope that helped u
ight gang whats the measure of n
The measure of side n is √(m^2 - 64).
According to the given question.
We have a right angle triangle.
Here, we have to find the measure n.
Since, the given triangle is divided into two right angle triangles.
Now in the right angled triangle with the side measure m, n and 8.
By the Pythagoras theorem we can say that
m^2 = 8^2 + n^2
⇒ m^2 = 64 + n^2
⇒ m^2 -64 = n^2 ...(i)
⇒ n = √(m^2 - 64)
Hence, the measure of side n is √(m^2 - 64).
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The five number summary of a dataset was found to be:
45, 50, 57, 65, 70
The range of the numbers from the data set is 25
How to calculate the values?From the information, the five number summary of a dataset was found to be 45, 50, 57, 65, 70.
It should be noted that range is the difference between the highest and the lowest number.
Highest number = 70
Lowest number = 45
Range = 70 - 45 = 25
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The five number summary of a dataset was found to be:
45, 50, 57, 65, 70
Find the range.
Inventory accounting can often be used for unethical or fraudulent behavior. Discuss the accounting principles and practices as they relate to inventory, and list one or more way(s) that fraudulent activity can take place
One way to reduce the risk of fraudulent activity is to assign two persons to check the inventory.
Accounting principles lay out the basic guidelines and ideas and create the foundation upon which specific accounting standards are built.
Inventory-related accounting principles and procedures might be applied unethically. For instance, many teachers in my field who are required to gather and check-in inventory do so while keeping the inventory for themselves. Having two persons check off the inventory is one method to lower the risk.
Accounting fraud is the illegal modification of a company's financial statements in an effort to hide earnings or losses or to manipulate the company's appearance of health. Accounting fraud can be committed in a variety of ways, including overstating revenue, failing to record expenses, and misrepresenting assets and liabilities.
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The complete question is mentioned below:
Inventory accounting can often be used for unethical or fraudulent behavior. discuss the accounting principles and practices as they relate to inventory, and list one or more way(s) that fraudulent activity can take place. be as detailed as possible, and if appropriate, include a personal experience you have encountered. next, discuss at least one way to reduce the risk of fraudulent practices such as this from taking place in a business.
15
Simplify 2√243x completely. Write answer in radical form. Assume => 0.
Answer =
Entry Tip: To enter an answer like 50x52², type 50x*root(3)(5x^2). Preview your answer
before submitting!
We need to know about radical form of a number to solve the question. The simplified version of 2[tex]\sqrt{243}[/tex]x is 18[tex]\sqrt{3}[/tex]x.
Radical form of a number is the simplified version of the number where there is no square root or third root or fourth left of the number.If there is a square root of a number present then we have to simplify it and break it down to a square root from where no other natural number root can be found.In this question we have a number 2[tex]\sqrt{243}[/tex]x, we have to simplify [tex]\sqrt{243}[/tex] so we get the radical form of the number and we assume that x>=0. We can write 243 as 9x9x3, so we can see that for the square root of 243 we can write 9[tex]\sqrt{3}[/tex]. So the number 2[tex]\sqrt{243}[/tex]x can be written as 2x9[tex]\sqrt{3}[/tex]x=18[tex]\sqrt{3}[/tex]x.
Therefore we got the radical form of 2[tex]\sqrt{243}[/tex]x to be 18[tex]\sqrt{3}[/tex]x.
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Which is a simplified
expression for the perimeter
of the triangle below?
2.5x 2x + 3 5x15
Answer:
It is the 60 simplified
Hope I've helped
lesson 8.2 HELPPPPPPP!!!!!
Find the measure of the arc or angle indicated.
Applying the inscribed angle theorem, we have:
1. Measure of inscribed angle EDF = 53°
2. m<DCB = 92°
3. m<VWS = 37°
How to Apply the Inscribed Angle Theorem?In a circle, the measure of an inscribed angle is equal to half of the measure of the measure of the intercepted arc, based on the inscribed angle theorem. In order words, the measure of the intercepted arc in a circle, is always twice the measure of the inscribed angle in the circle.
1. Measure of intercepted arc EF = 106° [given]
Measure of inscribed angle EDF = 1/2(measure of arc EF) [inscribed angle theorem]
Substitute
Measure of inscribed angle EDF = 1/2(106)
Measure of inscribed angle EDF = 53°
2. m<DCB + m<DQB = 180° [opposite angles of a cyclic quadrilateral add up to 180 degrees]
Substitute
m<DCB + 88 = 180
m<DCB + 88 - 88 = 180 - 88
m<DCB = 92°
3. m<VWS = 1/2(measure of arc VS) [inscribed angle theorem]
Substitute
m<VWS = 1/2(74)
m<VWS = 37°
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9x^3+2x-4 / 3x-2
Is this answer 9x+8+(4/3)/3x-2
Answer:
Hello,
Step-by-step explanation:
[tex]9x^3+2x-4=(3x-2)*(3x^2+2x+2) \\Remainder\ is\ 0\\\\if\ x \neq \dfrac{2}{3} \\\\\dfrac{9x^3+2x-4}{3x-2}=\dfrac{(3x-2)*(3x^2+2x+2) }{3x-2} =3x^2+2x+2[/tex]
I got this question wrong twice - can someone help me?
I have the answer but I don’t understand how they got it - can someone explain it to me step by step?
(Showing the working step by step works too)
Thanks!!
Answer:
137.54
Step-by-step explanation:
The area of the figure is the total area of the right triangle (on the left) and the rectangle (on the right)
Area of the right triangle = 1/2(9.2)(6.9) = 31.74
Are of the rectangle = (9.2)(11.5) = 105.8
The total area = 31.74 + 105.8 = 137.54
I hop this helps
I NEED THIS ANSWER FAST PLEASE!!
I will give 100 points
Answer: -4/15 (x - 15)
Step-by-step explanation: Got it from quick math
Can someone confirm if my answer is correct?
Please help me I will give brainliest
I’ll give points + brainalist!!
Answer: t<=-4 ==> -12, -5, -8, -4, -7
Step-by-step explanation:
t/4<=-1
t/4 * 4<=-1*4
t*4/4<=-4
4t/4<=-4
t<=-4 ==> -12, -5, -8, -4, -7
Answer:
-4,-5,-7,-8, and -12
Step-by-step explanation:
[tex]\frac{t}{4} \leq -1[/tex]
[tex]t\leq -4[/tex]
Therefore t has to be less than or equal to -4
So in the values provided, x can be -4,-5,-7,-8, and -12
The equivalent inequality would be [tex]t\leq -4[/tex].
If this was helpful pls give me brainliest <3
Daisy walks 1.13 miles on each trip to the park. How far will Daisy walk if she makes 6.5 trips to the park?
A toy store is having a sale. A video game system has an original price of $99. If it is on sale for 40% off the original price. Find the sale price of the game system. Round to the nearest CENT.
Answer:
The sale price is 59.40$
Step-by-step explanation:
Divide 99$ by 100, then multiply it by 60 because that's how much of that original price is left
brainliest pls have a good day
what is the prescribed dosage of a certain medicine for a 6 year old child if the adult dosage of the medicine is 180 milligrams?
Answer: C= 60 milligrams
Step-by-step explanation:
apply the formula
C = Divide[a,\(40)a+2\(41)]A
may you pls help me i do not know how to do it
Answer: 118
Step-by-step explanation:
The two figures' angles are identical so the angles would have the same measurements