Answer:
Number of year = 9.5 year
Step-by-step explanation:
Given:
Initial value[Cost price] = $5,000,000
Depreciation rate[r] = 7% = 0.07
Final value[After depreciation cost] = 5,000,000 / 2 = $2,500,000
Find:
Number of year[After half value]
Computation:
A = p[1-R]ⁿ
Final value = Initial value[1-r]ⁿ
2,500,000 = 5,000,000[1-0.07]ⁿ
0.5 = [0.93]ⁿ
Number of year = 9.5 year
(2×10⁴)+(7×10⁵)-(6×10³)
Step by step explanation
Answer:
(2×10⁴)+(7×10⁵)-(6×10³)= 714000
Question 2 of 5
Participants in a survey were asked the number of hours of television they watch each week. The dot plot shows the distribution of
their responses.
0,2,2,2,3,4,4,5,5,6,6,7,7,7,8,10,10,12,14,15,15,16
Number of Hours
After the data was recorded in the dot plot, another response was found for a participant who watches 30 hours of television each
week. How will this additional data point affect the mean number of hours of television watched each week?
The mean number of hours will increase.
The effect on the mean number of hours cannot be determined.
The mean number of hours will decrease.
The mean number of hours will remain the same.
Answer:
The additional data point of a participant watching 30 hours of television each week will affect the mean number of hours of television watched.
Step-by-step explanation:
In this case, since the new data point of 30 is significantly larger than the rest of the data points, it will increase the overall average. Therefore, the correct answer is: "The mean number of hours will increase."
Answer:The mean number of hours will increase
Step-by-step explanation:
Step 1: Calculate the sum of the existing data points:
0 + 2 + 2 + 2 + 3 + 4 + 4 + 5 + 5 + 6 + 6 + 7 + 7 + 7 + 8 + 10 + 10 + 12 + 14 + 15 + 15 + 16 = 190.
Step 2: Count the total number of data points (including the additional data point): 22 + 1 = 23.
Step 3: Add the value of the additional data point: 190 + 30 = 220.
Step 4: Calculate the new mean: 220 / 23 = 9.565.
Step-by-step explanation:
The existing data points are summed up to get a total of 190 hours.
Including the additional data point, there are a total of 23 data points.
The value of the additional data point, 30, is added to the total sum of hours, resulting in a sum of 220.
The new sum (220) is divided by the total number of data points (23) to calculate the new mean, which is approximately 9.565.
Therefore, the mean number of hours of television watched each week will increase when the additional data point of 30 hours is included.
Simplify 18 - 6x + 5x - 11
Answer:
7-x
Step-by-step explanation:
18-11=7
-6x+5x=-x
therefore, the answer is 7-x
The solution of the expression is,
⇒ - x + 7
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 18 - 6x + 5x - 11
Now, We can solve the expression as;
⇒ 18 - 6x + 5x - 11
Rearrange as;
⇒ - 6x + 5x + 18 - 11
Combine like term as;
⇒ - x + 7
Thus, The solution of the expression is,
⇒ - x + 7
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Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%. Select all the true statements. The proportion that represents the down payment is 20100=125,000 20 100 = 125 , 000 x . The down payment is $25,000. The proportion that represents the down payment is 20100=125,000 20 100 = x 125 , 000 . The down payment is $50,000. The down payment is 15 1 5 of the cost of the house.
The correct options are -
The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000What is down payment?When something is bought on credit, an initial payment is made in the form of a down payment.
Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.
We can calculate the amount she is putting in down payment as -
{x} = 20% of 125000
{x} = 20/100 x 125000
{x} = 20 x 1250
{x} = 25000
Therefore, the correct options are -
The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000To solve more questions on functions & equations, visit the link-
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A music store sells both electric and
acoustic guitars. One month, the store
sold 12 electric guitars. If that was 60%
of their sales for the month, how many
guitars did they sell that month in all?
Answer:
sorry :/ im not sureee but they would have sold 20
Step-by-step explanation:
They sold 20 guitars that month.
Step-by-step explanation:
\( \frac{12 \times 100}{60} = total\)
\( \frac{1200}{60} = 20\)
factorize 3ab + 5ax
Answer:
a(3b+5x)
Step-by-step explanation:
Factor 3ab+5ax
3ab+5ax
=a(3b+5x)
MARK ME THE BRAINIEST PLEASE!!
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
The lines shown below are perpendicular. If the green line has a slope of 2,
what is the slope of the red line?
-10
10
16
A. ¾/1
O A.
B.
O C.
O D. - 3/4
None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.
Reciprocal of 2: 1/2
Negative reciprocal: -1/2
Therefore, the slope of the red line is -1/2.
However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
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How do you solve this??
21 a(little 6) b(little 5)
————————————
7 a(little 3) b
\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
To solve this problemWe can use the rules of exponents and simplify the terms with the same base.
Dividing the coefficients: 21 / 7 = 3.
For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)
Similarly,\(b^5 / b = b^(5-1) = b^4\).
Putting it all together, the simplified expression is:
\(3a^3b^4.\)
Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
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I need help with this please
Point located at each location: 1) A 2) I 3) W 4) H 5) X 6) G 7) J 8) N 9) U 10) M 11). Ordered pairs are: B(2,8) 12) E(0,0) 13) T(3,3) 14) Q(8,7) 15) Y(7,6) 16) R( 9,8) 17) F(9,0) 18) S(3,6) 19) C(6,7)
Describe Ordered pair?
An ordered pair is a pair of mathematical object elements, such as numbers or other mathematical elements, where the order in which the object elements are listed is important. The ordered pair is usually written in the form (a, b), where 'a' represents the first element or coordinate, and 'b' represents the second element or coordinate.
In the context of the Cartesian coordinate system, an ordered pair represents a point in two-dimensional space, where the first element or coordinate represents the horizontal position on the x-axis and the second element or coordinate represents the vertical position on the y-axis. The order of the elements in an ordered pair is crucial because (a, b) is different from (b, a) and represents a different point in two-dimensional space.
Point located at each location is:
1) A
2) I
3) W
4) H
5) X
6) G
7) J
8) N
9) U
10) M
The ordered pair for given points is:
11) B(2,8)
12) E(0,0)
13) T(3,3)
14) Q(8,7)
15) Y(7,6)
16) R( 9,8)
17) F(9,0)
18) S(3,6)
19) C(6,7)
The graph for remaining is questions is attached below.
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Help me please
Scenario 1: which states would get you to 270 the fastest?
- List the states and the number of votes you used in this scenario
Answer:
I think the blue states. Tell me if I'm wrong
Write a numerical expression to represent the phrase "the sum of 25 and the cube of 9." Do not evaluate the expression.
Answer:
25 + 9^3
Step-by-step explanation:
Fifteen is the quotient of a number and three
Answer:
5
Step-by-step explanation:
5 times 3 = 15
3 times 5 = 15
Simplify i) ( x-y )( x−y )( x−y )
The simplified expression for ( x - y ) ( x - y ) ( x - y ) is x³ - x²y - xy² + y³.
To simplify ( x - y ) ( x - y ) ( x - y ), we can expand the expression using the distributive property of multiplication. We can also simplify the expression by combining like terms.
In using the distributive property of multiplication, we multiply each term in the first set of parentheses by each term in the second set of parentheses. This gives us:( x - y ) ( x - y ) ( x - y ) = ( x(x - y) - y(x - y) ) ( x - y )= ( x² - xy - xy + y² ) ( x - y )= ( x² - 2xy + y² ) ( x - y )
Now we can further simplify the expression by combining like terms. We can use the difference of squares formula to simplify the second set of parentheses.( x² - 2xy + y² ) ( x - y ) = ( x - y ) ( x - y )²= ( x - y ) ( x² - 2xy + y² )= x³ - x²y - 2xy² + xy² - xy² + y³= x³ - x²y - xy² + y³
Therefore, the simplified expression is x³ - x²y - xy² + y³.
Summary: To simplify ( x - y ) ( x - y ) ( x - y ), we expand the expression using the distributive property of multiplication. We simplify the expression by combining like terms. We use the difference of squares formula to simplify the second set of parentheses. Finally, we simplify the expression further by combining like terms. The simplified expression is x³ - x²y - xy² + y³.
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Use the diagram to find the measure of each angle. Enter the number only.
9514 1404 393
Answer:
a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,
i = 56, j = 124, k = 56
Step-by-step explanation:
Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.
__
Working from the top and from the given angles, ...
h = 60°
f = g = 180° -h = 120°
j = 124°
k = i = 180° -124° = 56°
a = 64°
b = d = 90°
c = e = 90° -64° = 26°
In summary, measures in degrees are ...
a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,
i = 56, j = 124, k = 56
Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)
Given :
A = {x: 2x² + 3x - 2 = 0 } B = {x : x² + 3x - 4 = 0 }To find :
(A U B ) × (A Π B )Solution :-
The first set is ,
A ={x : 2x² + 3x - 2 = 0}Solving the Quadratic equation ,
2x² + 3x - 2 = 0 2x² + 4x - x - 2 = 0 2x( x + 2) -1( x + 2 ) = 0(2x -1) ( x + 2) = 0 x = 0.5 , -2Hence ,
A ={0.5, -2}The second set is ,
B ={ x :x² + 3x - 4 = 0 }Solving the Quadratic equation ,
x² + 3x - 4 = 0 x² + 4x - x - 4 = 0 x( x + 4)-1 ( x +4) = 0 (x + 4) ( x -1) = 0 x = 1 , -4Hence ,
B ={1,4}Now ,
A U B = { 0.5 , 1 , 4 , -2} A Π B = {∅ }Since AΠ B is a null set , hence ,
A × B = {∅}A quadratic equation, y = ax^2 - 6x + 10, has exactly one real root. Calculate the value of a.
Answer:
a = 0.9
Step-by-step explanation:
For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.
For the given equation:
\(y = ax^2 - 6x + 10\),
• a = a
• b = -6
• c = 10.
Substituting these values into the formula for discriminant, we get:
\((-6)^2 - 4(a)(10) = 0\)
⇒ \(36 - 40a = 0\)
⇒ \(36 = 40a\)
⇒ \(a = \frac{36}{40}\)
⇒ \(a = \bf 0.9\)
Therefore the value of a is 0.9 when the given quadratic has exactly one root.
3 + (-5) = -2 explain how
Answer: -2
Step-by-step explanation: When there is a + in front of an expression in parentheses, the expression remains the same. 3 - 5 calculate the difference.
Solve (t-3)^2=6
The arrow is at a height of 48 ft after approx. ___ s and after ___ s.
The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.
To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:
s = v0t - 16t^2
Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.
Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:
48 = 96t - 16t^2
Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.
Rearranging the equation:
16t^2 - 96t + 48 = 0
Dividing the equation by 16 to simplify:
t^2 - 6*t + 3 = 0
We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.
Using the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values:
t = (6 ± √((-6)^2 - 413)) / (2*1)
t = (6 ± √(36 - 12)) / 2
t = (6 ± √24) / 2
Simplifying the square root:
t = (6 ± 2√6) / 2
t = 3 ± √6
Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.
In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.
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Note the complete question is
The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?
Solve (t-3)^2=6
The arrow is at a height of 48 ft after approx. ___ s and after ___ s.
A particular disease is tested for and the results determine that it occurs in about 1 of every 750 Hispanic females and about 1 of every 138,000 non-Hispanic females 26,000 Hispanic females were to be tested, about how many of them would you expect to have this particular disease?
Approximately 34.658 Hispanic females out of 26,000 to have this particular disease.
Hispanic female;A woman or girl who identifies as Hispanic or Latino, which usually refers to persons of Spanish-speaking origin or lineage from Latin America or Spain, is referred to as a "Hispanic female."
The proportion of Hispanic females with the disease is 1 in 750, which can be expressed as:
1 / 750 = 0.001333
This means that for every 750 Hispanic females, one is expected to have the disease.
To calculate the expected number of Hispanic females with the disease in a group of 26,000, we can multiply the proportion by the total number of Hispanic females:
0.001333 * 26,000 = 34.658
So we would expect approximately 34.658 Hispanic females out of 26,000 to have this particular disease.
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Need help please help please I will give brainless
Answer:
B
Step-by-step explanation:
Answer:
Question number 2 is A
And so is question number 3
Step-by-step explanation:
It says for 15 minus a number (meaning a variable like x or y) divided by 2 equals eleven
so 15 - y/2 = 11
For question number 3 it says the insurance company wants 100 dollars in deduction fee and then it will pay 80 percent or 0.8 of the medical costs. so we get
0.8(960- 100)
The reason why we subtract 100 is because we paid the insurance company 100 dollars, so that is our own money going to the medical bills.
then we multiply 0.8 by 860
to celebrate the end of the school year, Gabby and her friends go out for pizza. the total bill is $37.84. if the 4 people split the cost evenly, how much does each person pay?
Answer:
9.46, u get this by dividing 37.84 by 4
Step-by-step explanation:
Answer:
9.46
Step-by-step explanation:
Two canoes travel down a river, starting at 10:00. One canoe travels twice as fast as the other. After 3.5 hr, the canoes are 5.25 mi apart. Find the average
rate of each canoe.
Answer:
Step-by-step explanation:
The time for each canoe is 3.5 hours
The total distance traveled by the first canoe is not known. Nor is the distance for the second canoe. We do know that the difference is 5.25 miles.
So let the rate of the slower canoe = x
Let the rate for the second canoe = 2x
The first canoe goes a distance of 2*x * 3.5 = 7x
The second canoe goes a distance of 3.5x
The difference = 7x - 3.5x = 5.25
3.5x = 5.25 divide by 3.5
x = 5.25/3.5
x = 1.5 which is the rate of the slower canoe
2x = 3 which is the rate of the faster canoe
What is the measure of L? A. 25 B. Cannot be determined C. 39 D. 32
The required measure of ∠L=25° for the given triangle.
What is a Triangle?A triangle is a closed shape composed of three angles, three sides, and three vertices. It is one of the most fundamental geometric forms and is represented by the symbol Δ.
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.:
∠KJL = ∠JLK
Substitute ∠KJL = 25° into ∠KJL = ∠JLK: 25° = ∠JLK
∠JLK = 25°
Thus, the required measure of ∠L=25°.
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Can someone help me with this asap
Answer:
18 = 90, 15 = 75 21 = 105
Step-by-step explanation:
Multiply all the sides by 5 since the scale factor is 5
Answer:
198
Step-by-step explanation:
scale factor of 5
18 × 5 = 90
15 × 5 = 75
21 × 5 = 105
105 + 75 + 18 = 198
(please keep in mind that it has been a while since i last had to work on something like this and i'm not sure if its 100% correct)
hope this helped
5(a-b)if a=-4 and b=-2
Answer:
See below.
Step-by-step explanation:
5(a-b)
5(-4-(-2))
5(-4+2)
5(-2)
-10
-hope it helps
What is 13 1 3 percent as a fraction in simplest form
Answer:
2/15
Step-by-step explanation:
A percent is a number given out of 100
13 1/3% basically is 13 1/3 | 100
You divide and you get 40/3 x 1/100
Simplify by 20 = 40/300 simplify again and you get 2/15.
12x-5=24x+3
Solve for x
For the following, which type of f-test is required? (a) Studying the effects of a memory drug on Alzheimer’s patients, testing a group of patients before and after administration of the drug. (b) Studying whether men and women rate the persuasiveness of an argument delivered by a female speaker differently. (c) The study described in part (b), but with the added requirement that for each man of a particular age, there is a woman of the same age.
The appropriate type of F-test for this scenario would be a repeated measures ANOVA.
What is F-test?An F-test is a statistical test used to compare the variances of two or more populations. Specifically, an F-test compares the ratio of the variances of the populations to determine whether they are significantly different from each other.
According to question:(a) The appropriate type of F-test for this scenario would be a repeated measures ANOVA, which is used when the same group of subjects is tested multiple times under different conditions.
(b) The appropriate type of F-test for this scenario would be an independent samples t-test or a two-way ANOVA with one factor being gender and the other being the speaker's gender.
(c) The appropriate type of F-test for this scenario would be a matched pairs t-test or a repeated measures ANOVA with the factor being the gender of the speaker. The requirement that each man has a woman of the same age implies that the two groups are matched on a demographic variable (age) that could potentially affect the outcome of the study.
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Use substitution to write an equivalent quadratic equation.
(3x + 2)2 + 7(3x + 2) – 8 = 0
ANSWER IS ✔ u² + 7u - 8 = 0, where u = 3x + 2
Answer:
it's u^2+7u-8=0 where u=3x=2
AKA the second one down