Answer:
26 degrees is the difference in temperature
Step-by-step explanation:
if it was -14° in the morning it had to warm up 14 degrees to get to 0°, so that’s a difference of 14.
from 0° to 12° it warmed up 12 degrees so that’s a difference of 12
14+12=26, so 26° difference in temperature from the morning to noon
Write the number
five million four thousand three hundred in standard form.
Answer: 5,000,000 - 4,000 - 300 or 5,004,300
Step-by-step explanation:
5,004,300 = 5,004,300.0
Left shift 6 times to largest digit = 5.004300
5.004300 (show the shift multiplier: 10^6)
5.004300*10^6
Answer:
5004300
Step-by-step explanation:
A carpenter is creating two new templates for his designs. One template will be in the shape of a right triangle, where the longer leg is 4 inches more than six times the shorter leg.
The second template will be in the shape of a rectangle, where the width is 5 inches more than the triangle’s shorter leg, and the length is 3 inches.
The carpenter needs the areas of the two templates to be the same. Write a system of equations to represent this situation, where y is the area, and x is the length of the shorter leg of the triangle. Which statement describes the number and viability of the system’s solutions?
A.
The system has two solutions, but only one is viable because the other results in negative side lengths.
B.
The system has two solutions, and both are viable because they result in positive side lengths.
C.
The system has only one solution, but it is not viable because it results in negative side lengths.
D.
The system has only one solution, and it is viable because it results in positive side lengths.
Answer:
this is correct on plato/edmentum
Step-by-step explanation:
For an equation to be viable, the result of the equation must be positive (i.e. greater than 1).
The 2 templates, the farmer created have two solutions, but only one of the solutions are viable.
For the first template, we have:
\(x \to\) length of the shorter leg of the triangle
\(z \to\) length of the longer leg of the triangle
From the question, we have:
\(z = 4 + 6x\)
The area (y) of the first template is:
\(y = \frac{1}{2}xz\) --- area of a triangle
So, we have:
\(y = \frac{1}{2}x(4 + 6x)\)
Open bracket
\(y = 2x + 3x^2\)
For the second template, we have:
\(Width = 5 + x\)
\(Length = 3\)
So, the area (y) of the second template is:
\(y = Length \times Width\) --- area of a rectangle
This gives:
\(y = 3 \times (5 + x)\)
\(y = 3(5 + x)\)
\(y = 15 + 3x\)
So, the expression for both areas are:
\(y = 2x + 3x^2\) --- template 1
\(y = 15 + 3x\) --- template 2
Both areas must be equal. This is represented as:
\(2x + 3x^2 = 15 + 3x\)
Collect like terms
\(3x^2 +2x - 3x - 15 = 0\)
\(3x^2 - x - 15 = 0\)
Solve for x using quadratic formula, we have:
\(x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}\)
Where:
\(a = 3; b =-1; c=-15\)
So, we have:
\(x = \frac{-(-1) \± \sqrt{(-1)^2 - 4\times 3 \times -15}}{2 \times 3}\)
\(x = \frac{1 \± \sqrt{181}}{6}\)
\(x = \frac{1 \± 13.5}{6}\)
Split
\(x = \frac{1 + 13.5}{6} \ or \ x = \frac{1 + 13.5}{6}\)
\(x = \frac{-12.5}{6} \ or \ x = \frac{14.5}{6}\)
\(x = -2.08 \ or \ x = 2.42\)
We can see that x has 2 solutions, but only 1 of the solutions is viable because the other is negative.
Hence, option (a) is correct
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One month Jenny rented 6 movies and 2 video games for a total of $30. The next month she rented 3 movies and 5 video games for a total of $36. Find the rental cost for each movie and each video game.
Answer: The rental cost for each movie is $3.25 and each video game is $5.25.
Step-by-step explanation:
Let x = rental cost for each movie
y = rental cost for each video game.
As per given , we have
6x+2y= 30 (i)
3x+5y = 36 (ii)
Multiply 2 on both sides of (ii)
6x+10y=72 (iii)
Eliminate (i) from (iii)
8y=42
⇒ y= 5.25
Put y=5.25 in (ii)
3x+5(5.25)=36
⇒ 3x+26.25 =36
⇒ 3x = 36-26.25
⇒ 3x =9.75
⇒ x = 3.25 [Divide both sides by 3]
Hence, the rental cost for each movie is $3.25 and each video game is $5.25.
Answer:
2.25 movie
5.25 video game
Step-by-step explanation:
:)
What numbers x that make the statement below true?
7x < 42 ?
Answer:
x= 5
Step-by-step explanation:
bc 7x5=35 and under will work to but 7x6 will makeit 42 so 5is the best choice
hopes this helps :)
Simplify the expression. negative 15 plus the quantity negative 1 and six tenths plus 9 and 34 hundredths end quantity divided by 6 all times 3 squared minus 5 and 7 tenths −4.125 −9.09 −12.96 129.09
The simplified expression in mathematical form is -45.36.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The expression given is -
(-15 + (-1.6 + 9.34) / 6) × (3² - 5.7)
Simplifying the terms inside the parentheses first, we get -
(-15 + 7.74 / 6) × (9 - 5.7)
Next, we simplify 7.74 / 6 by dividing the numerator by the denominator -
(-15 + 1.29) × (9 - 5.7)
We add -15 and 1.29 inside the first set of parentheses -
(-13.71) × (9 - 5.7)
We subtract 5.7 from 9 inside the second set of parentheses -
(-13.71) × 3.3
Multiplying these two terms, we get -
-45.363 ≈ -45.36
Therefore, the value is obtained as -45.36.
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Consider the following series.
1/6 + 1/12 + 1/18 + 1/24 + 1/30
Determine whether the series is convergent or divergent. Justify your answer.
a. Converges; the series is a constant multiple geometric series.
b. Converges; the limit of the terms, an, is 0 as n goes to infinity.
c. Diverges; the limit of the terms, an, is not 0 as n goes to infinity.
d. Diverges; the series is a constant multiple of the harmonic series.
If it is convergent, find the sum.
Answer:
d. Diverges; the series is a constant multiple of the harmonic series.
Step-by-step explanation:
Given
\(Series: \frac{1}{6} + \frac{1}{12} + \frac{1}{18} + \frac{1}{24} + \frac{1}{30} + ...\)
Required
Determine if it diverges or converges
From the series, we have:
\(T_1 = \frac{1}{6} = \frac{1}{6 * 1}\)
\(T_2 = \frac{1}{12} = \frac{1}{6 * 2}\)
\(T_3 = \frac{1}{18} = \frac{1}{6 * 3}\)
\(T_4 = \frac{1}{24} = \frac{1}{6 * 4}\)
\(T_5 = \frac{1}{30} = \frac{1}{6 * 5}\)
So, each term can be written as:
\(T_n = \frac{1}{6n}\)
And the series is:
\(\limits^\infty_1\sum T_n = \limits^\infty_1\sum \frac{1}{6n}\)
\(\limits^\infty_1\sum T_n = \frac{1}{6} * \limits^\infty_1\sum \frac{1}{n}\)
\(\limits^\infty_1\sum T_n = \frac{1}{6} * \infty\)
\(\limits^\infty_1\sum T_n = \infty\)
Recall that:
\(\limits^\infty_1\sum \frac{1}{n}\) is known as the harmonic series, and it diverges to infinity
Hence: (d) is correct
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
2p² - 3 = 15 | What is the value
Answer: p= -3
p=-5/2=-2.500
Step-by-step explanation:
plss be brianleist
Find the discount on a pair of jeans that originally cost $35 with 20% off coupon
Answer:
I think it's $28
Which of the following points satisfies y < 3x - 6?
(2, -4)
(1,0)
The point (2,-4) satisfies y < 3x - 6
what is the greatest comon factor of 40 and 70
Answer:
The greatest common factor will be 10.
How do I know the outliner of numbers???
5) 3x2 - 16x + 20
Factor the Trinomial
Answer:
(3x -10)(x -2)
Step-by-step explanation:
You want to start by finding two factors of 3·20 = 60 that have a total of -16.
60 = (-1)(-60) = (-2)(-30) = (-3)(-20) = (-4)(-15) = (-5)(-12) = (-6)(-10)
The last of these factor pairs (-6, -10) have a total of -16, so these are what you need to rewrite the middle term:
3x² -6x -10x +20
Now, you can factor by pairs:
= 3x(x -2) -10(x -2)
= (3x -10)(x -2) . . . . your factored trinomial
1. Prove the following identity:
—> sin^2 theta (1+ 1/tan^2 theta) =1
9514 1404 393
Explanation:
\(\sin^2(\theta)\times\left(1+\dfrac{1}{\tan^2(\theta)}\right)=\\\\\sin^2(\theta)\times\left(1+\dfrac{\cos^2(\theta)}{\sin^2(\theta)}\right)=\\\\\dfrac{\sin^2(\theta)\cdot(\cos^2(\theta)+\sin^2(\theta))}{\sin^2(\theta)}=\\\\\cos^2(\theta)+\sin^2(\theta)=1\qquad\text{Q.E.D.}\)
What is the area of a triangle with a base 14 inches and height 11 inches?
The area of the triangle that has a base of 14 inches and height of 11 inches is: 77 square inches.
What is the Area of a Triangle?A triangle has three sides. The side that is the base is the side of the triangle that its altitude connects with the vertex, while the height is the altitude.
The area of a triangle can be found by finding half of the product of the base and height of the triangle.
The formula is:
Area = 1/2 × base × height.
Given the following:
Base of the triangle = 14 inches
Height of the triangle = 11 inches
Therefore:
Area of the triangle = 1/2 × 14 × 11
= 1/2 × 154
= 154/2
Area = 77 square inches.
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How much will you save If you buy an Item listed at $575.50 at a 30 percent discount?
OA. $172.65
OB.
$176.25
O C. $185.63
Reset
Next
Answer:
Answer is A $172.25
Step-by-step explanation:
Step 1: Our output value is 575.50.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$575.50=100\%$.
Step 4: Similarly, $x=30\%$.
Step 5: This results in a pair of simple equations
$575.50=100\%(1)$.
$x=30\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{575.50}{x}=\frac{100\%}{30\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{575.50}=\frac{30}{100}$
$\Rightarrow x=172.65$
Therefore, $30\%$ of $575.50$ is $172.65$
Answer:
The total that will be saved at a 30% discount is $172.65
Explanation:
Since, the marked up price of the item will be $575.50,
and the discount percentage is 30%,
Therefore, $ 172.65 will be saved.
Richards Corporation uses the FIFO method of process costing. The following
information is available for October in its Fabricating Department:
Units:
Beginning Inventory: 80,000 units, 60% complete as to materials and 20%
complete as to conversion.
Units started and completed: 250,000.
Units completed and transferred out: 330,000.
Ending Inventory: 30,000 units, 40% complete as to materials and 10%
complete as to conversion.
Costs:
Costs in beginning Work in Process - Direct Materials: $37,200.
Costs in beginning Work in Process - Conversion: $79,700.
Costs incurred in October - Direct Materials: $646,800.
Costs incurred in October - Conversion: $919,300.
Calculate the equivalent units of materials.
If Richards Corporation uses the FIFO method of process costing. The equivalent units of materials is 294,000.
Equivalent unit of material (FIFO)
Using this formula
Equivalent unit of material (FIFO) =[(Beginning inventory×Percentage complete)+Units started and complete+ (Ending inventory× Percentage complete as to materials)]
Let plug in the formula
Equivalent unit of material (FIFO) = [80,000×40%+250,000+30,000×40%]
Equivalent unit of material (FIFO) = 32,000+250,000+12,000
Equivalent unit of material (FIFO) = 294,000
Therefore the equivalent units of materials is 294,000.
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(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
The length of GF is 4 m. What is the radius of the circle? Round to the nearest tenth.
Therefore, the radius of the circle is π/45 meters.
What is circle?A circle is a two-dimensional geometric shape consisting of all the points in a plane that are at a given distance, called the radius, from a given point, called the center. It can also be defined as the set of all points that are equidistant from a given point in a plane. The distance around a circle is called the circumference, while the distance across the circle through the center is called the diameter. The ratio of the circumference to the diameter is a constant value known as pi (π), which is approximately 3.14.
Here,
We can use the formula for arc length and sector angle of a circle:
Arc length = (angle/360) x 2πr
where r is the radius of the circle.
We are given that the length of arc GF is 4 m and the sector GF makes an angle of 32 degrees. Substituting these values into the formula, we get:
4 = (32/360) x 2πr
Simplifying:
4 = (4/45)πr
r = (4/45)π x (1/4)
r = π/45
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in a data set consisting of 30 positive integers, the minimum value is 13. the number 6 is added to the original set to create a set of 31 positive integers. which of the following measures must be 7 greater for the new data set than for the original data set?
a. The mean
b. The median
c. The range
d. The standard deviation
The mean, median, range, and standard deviation for the new data set must all be 7 greater than for the original data set.
The mean is the sum of all the values divided by the number of values. Adding the number 6 to the original data set of 30 positive integers increases the sum of all the values by 6, which means the mean for the new data set must be 7 greater than the mean for the original data set.
The formula for the mean is: Mean = (Sum of Values)/(Number of Values)
For the original data set: Mean = (Sum of Values)/30
For the new data set: Mean = (Sum of Values + 6)/31
Therefore, the mean for the new data set must be 7 greater than the mean for the original data set.
The median is the middle value in a set of data. Adding the number 6 to the original data set of 30 positive integers increases the total number of values to 31, which means the median is calculated differently for the new data set than the original data set. The median for the new data set must be 7 greater than the median for the original data set.
The formula for the median is: Median = (n+1)/2
For the original data set: Median = (30+1)/2 = 15.5
For the new data set: Median = (31+1)/2 = 16.5
Therefore, the median for the new data set must be 7 greater than the median for the original data set.
The range is calculated by subtracting the smallest value from the largest value in a data set. Adding the number 6 to the original data set of 30 positive integers increases the largest value by 6, which means the range for the new data set must be 7 greater than the range for the original data set.
The formula for the range is: Range = (Largest Value) - (Smallest Value)
For the original data set: Range = (Largest Value) - 13
For the new data set: Range = (Largest Value + 6) - 13
Therefore, the range for the new data set must be 7 greater than the range for the original data set.
The standard deviation is a measure of how spread out the values in a data set are. Adding the number 6 to the original data set of 30 positive integers increases the total number of values by 1, which means the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.
The formula for the standard deviation is: Standard Deviation = √ (Sum of (Values - Mean)2 / Number of Values)
For the original data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 30)
For the new data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 31)
Therefore, the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.
The mean, median, range, and standard deviation for the new data set must all be 7 greater than for the original data set
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In the making of ball bearings, diameters vary from one bearing to the next because of minor variations in the
manufacturing process. The diameter of the ball bearings varies according to a distribution that is approximately Normal
with mean 11.5 mm and standard deviation 0.05 mm. Two ball bearings are randomly selected. Find the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm.
On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
he diameter of the ball bearings varies according to a distribution that is approximately Normal
mean 11.5 mm and standard deviation 0.05 mm
the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm
Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%
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Which triangle makes this statement true?
PLEASE HELP
Brianna can use the equation y = 5x to calculate her pay, where y represents the amount of pay, and x represents the number of hours worked.
How many hours did Brianna work if she was paid $63.50?
y = 5x
63.5 = 5x
x = 12.7 hours
The number of hours did Brianna work, if she was paid amount $63.50 as salary, is 12.7 hours.
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
To find the values of unknown quantity, the statements of a problem is converted in the algebraic equation using the variable in place of unknown numbers.
Brianna uses the equation to calculate here pay is,
\(y = 5x\)
Here y represents the amount of pay, and x represents the number of hours worked.
The number of hours did Brianna work if she was paid $63.50 has to be find out.
As the total amount, Brianna get is $63.50 and this is represented by the variable y in the above equation.
Thus, put the value of y in the above equation to find the value of number of hours as,
\(63.50= 5x\\x=\dfrac{63.50}{5}\\x=12.7\)
Hence, the number of hours did Brianna work, if she was paid amount $63.50 as salary is 12.7 hours.
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Directions: for questions 1 through 4, find the diagonal length of each solid figure.
Here, we want to find the diagonal of the given solid
To do this, we need the appropriate triangle
Firstly, we need the diagonal of the base
To get this, we use Pythagoras' theorem for the base
The other measures are 6 mm and 8 mm
According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides
Let us have the diagonal as l
Mathematically;
\(\begin{gathered} l^2=6^2+8^2 \\ l^2\text{ = 36 + 64} \\ l^2\text{ =100} \\ l\text{ = }\sqrt[]{100} \\ l\text{ = 10 mm} \end{gathered}\)Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above
Thus, we calculate this using the Pytthagoras' theorem as follows;
\(\begin{gathered} d^2=5^2+10^2 \\ d^2\text{ = 25 + 100} \\ d^2\text{ = 125} \\ d\text{ = }\sqrt[]{125} \\ d\text{ = }11.2\text{ mm} \end{gathered}\)Mr. Hooper has a tree in his front yard that grows every year. If the tree was 3 feet tall when he planted it 6 years ago , what is the current height of the tree in terms of f?
A. 3f + 6 feet
B. 6f + 3 feet
C. 3f + 18 feet
D. 6f + 18 feet
Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
14 Tom can whitewash a fence alone in 4 hours, and Huck can whitewash the same fence in 5 hours working by himself. Tom whitewashes with Huck for 1 hour and then leaves. How long will it take Huck to finish whitewashing the fence?
Given:
Time it takes Tom = 4 hours
Time it takes Huck = 5 hours
Tom then whitewashes with Huck for 1 hour and then leaves.
Let's find how long it will take Huck to finish whitewashing the fence.
We have:
Tom's rate = 1/4
Huck's rate = 1/5
Total rate:
\(\frac{1}{4}+\frac{1}{5}=x\)Now, let's find the time it will take them to whitewash together.
\(\begin{gathered} \frac{1}{T}=\frac{5+4}{20} \\ \\ \frac{1}{T}=\frac{9}{20} \\ \\ T=\frac{20}{9} \\ \\ T=2.22 \end{gathered}\)It will take them 2.22 hours to whitewash together.
Now they both whitewash together for 1 hour before Huck leaves.
We have:
\(2.22-1=1.22\)When Huck leaves after one hour, the time left for both of them to finish together is 1.22 hours.
Since only Huck will finish whitewashing the fence, the time it will take him will be:
\(5(1-\frac{1.22}{2.22})=2.25\)Therefore, it will take Huck to finish whitewashing the fence is 2.25 hours.
ANSWER:
2.25 hours
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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Which of these situations would follow the general rule for basis of inherited property?
Louis died on August 12, 2019, leaving his house to his sister, Etty.
On August 15, 2018, Leroy gave his brother Ralph appreciated stock. Leroy's brother Ralph died on February 16, 2019. Ralph's only heir was Leroy.
Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.
Janet died on January 1, 2019. At that time, she had an IRA with a balance of $32,640. She named her daughter, Emily, as the beneficiary of her IRA.
Amon the following situation 2 cases follow the general rule for basis of inherited property
Given , Statements of inheritance.
1. Louis died on August 12. 2019 leaving his house to his sister, Etty.
This is a case of inheritance of property as it justifies conditions of the definition of Inheritance of Property i.e Louis died and as a consequence his property is transferred to his sister which is her relative as per law. So, this is a valid case of inheritance. Even a person can transfer his property to some unrelated person, if he so mentions in his will.2. On August 15, 2018, Leroy give his brother Ralph appreciated stock. Leroy's brother died on February 16, 2019, Ralph's only heir was Leroy.
In this case, transfer of stock from Leroy to Ralph is outside the definition of inheritance, since Leroy was not died at that time. On second instance, when stock was transferred to Leroy after Ralph death in February 2019. It is a case of inheritance but it is the case of inheritance of stock, not inheritance of property. Stock of a company is not considered a property.3.Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.
A 401(k) plan is a retirement savings account that allows an employee to divert a portion of his or her salary into long-term investments. The employer may match the employee's contribution up to a limit.This is also a case of inheritance but not the case of inheritence of property. Retirement Savings account is not considered as property.
4.Janet died January 1, 2019. At that time, she had a IRA with balance of $32640. She named her daughter, Emily, as the beneficiary of her IRA.
This is also a case of inheritance but not the case of inheritence of property. IRA (Individual Retirement Account) is not considered as property.Know more about inheritance of property,
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when a number is decreased by 19% the result is 66 what is the original number to
the nearest tenth percent
Answer:
The original number is x = 66 .19
Step-by-step explanation:
Let 'x' be the number
Given data a number is decreased by 19% the result is 66
x - 19% = 66
x-0.19 = 66
Adding '0.19' on both sides , we get
x - 0.19 +0.19 = 66 +0.19
x = 66 .19
The original number is x = 66 .19
The original number is 66.19.
Given that,
The number is decreased by 19% the result is 66.
We have to determine,
What is the original number?
According to the question,
Let, the original number be x,
The number is decreased by 19% the result is 66.
\(x - \dfrac{19}{100} = 66\\\\x - 0.19 = 66\\\\x = 66 + 0.19\\\\x = 66.19\)
Hence, The required original number is 66.19.
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