2. When rounding to the nearest ten, what is the least whole
number that rounds to 250? What is the greatest whole numbe
that rounds to 250?
Least number:
Greatest number:
Answers
245 is the Least whole number, that rounds off to 250 when rounding to the nearest ten.
254 is the Greatest whole number, that rounds off to 250 when rounding to the nearest ten.
In the question we are asked to give the least and greatest whole number that rounds off to 250.
As, we know while rounding off to the nearest ten
When the unit digit is less than 5, then the digit at tenth place remains same and the unit digit becomes zero.When the unit digit is greater than or equal to 5, then the digit at tenth place is increased by 1 and the unit digit becomes zeroSo, 245 is the least whole number, that rounds off to 250 when rounding to the nearest ten.
Because, the unit digit in 245 is equal to 5. Hence, the digit at tenth place is increased by 1 and unit digit becomes 0.
Therefore, rounds to 250.
Also, 254 is the greatest whole number, that rounds off to 250 when rounding to the nearest ten.
Because, the unit digit in 254 is equal to 4. Hence, the digit at tenth place remains same and unit digit becomes 0.
Therefore, rounds to 250.
Least Number: 245
Greatest Number: 254
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Related Questions
2021: Sales Revenues = $800,000. Cost of good sold = $350,000
2020: Sales Revenues = $795,000. Cost of good sold = $600,000
Answers
Answer:
Step-by-step explanation:
Sales Revenue: $800.00
Cost of good sold: $350,000.00
Subtract: $450,000.00
Sales Revenue: $795,000.00
Cost of good sold: $600,000.00
Subtract Sales $195,000.00
Revenue from Cost
of goods sold.
The Bells obtain a 25-year, $150,000 conventional mortgage at a 10.0% rate on a house selling for $190,000. Their monthly mortgage payment, including principal and interest, is $1363.50. They also pay 3 points at closing.
Answers
the Bells will pay a total of $4,914,300 for their house. the Bells will pay a total of $4,770,000 in interest (including the 3 points) over the life of the loan.The Bells' first mortgage payment of $113.50
The solution of the sub parts are as follows :-
a) To determine the total amount the Bells will pay for their house, we need to calculate the amount they will pay in mortgage payments over the life of the loan, as well as the amount they paid in points at closing.
First, we can calculate the total amount of principal and interest they will pay over the life of the loan. We know that their monthly mortgage payment is $1363.50, so the annual payment would be:
$1363.50 x 12 = $16,362
Over the life of the 25-year loan, they will make a total of:
25 x 12 = 300 payments
So the total amount they will pay in principal and interest is:
$16,362 x 300 = $4,908,600
Next, we can calculate the amount they paid in points at closing. We know that they paid 3 points on a $190,000 house, so the amount of points paid is:
3% x $190,000 = $5,700
Therefore, the total amount the Bells will pay for their house is:
$4,908,600 + $5,700 = $4,914,300
Therefore, the Bells will pay a total of $4,914,300 for their house.
b) To determine how much of the cost will be interest (including the 3 points), we can subtract the amount of principal they will pay over the life of the loan from the total amount they will pay. We know that the total amount they will pay is $4,914,300, and we already calculated the amount they will pay in principal:
$150,000
So the amount of interest they will pay is:
$4,914,300 - $150,000 = $4,764,300
In addition, we need to add the amount they paid in points to the interest amount:
$4,764,300 + $5,700 = $4,770,000
Therefore, the Bells will pay a total of $4,770,000 in interest (including the 3 points) over the life of the loan.
c) To determine how much of the first payment on the mortgage is applied to the principal, we can use an amortization schedule or formula. The amortization formula for a fixed-rate mortgage is:
P = (r * A) / (1 - (1 + r)^(-n))
where P is the monthly payment, r is the monthly interest rate (which is the annual rate divided by 12), A is the initial loan amount, and n is the total number of payments.
Using the values given in the problem, we can plug them into the formula to solve for the amount of the first payment that is applied to the principal:
r = 0.10 / 12 = 0.008333 (monthly interest rate)
A = $150,000 (initial loan amount)
n = 300 (total number of payments)
P = ($1363.50)
P = (0.008333 * $150,000) / (1 - (1 + 0.008333)^(-300))
P = $1363.50
Therefore, the total amount of the first payment is $1363.50, and we can calculate the amount of the payment that is applied to the principal by subtracting the interest portion. The interest portion can be calculated by multiplying the monthly interest rate by the outstanding balance:
Interest = 0.008333 * $150,000 = $1250
So the amount of the first payment that is applied to the principal is:
$1363.50 - $1250 = $113.50
Therefore, the Bells' first mortgage payment of $113.50
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Given the function h of x equals negative 2 times the square root of x, which statement is true about h(x)?The function is decreasing on the interval (0, [infinity]).The function is decreasing on the interval (–[infinity], 0).The function is increasing on the interval (0, [infinity]).The function is increasing on the interval (–[infinity], 0).
Answers
The function is decreasing on the interval (0, [infinity])
The function h of x equals negative 2 times the square root of x is a decreasing function on the interval (0, ∞). This means that as the value of x increases, the value of h(x) decreases. On the interval (-∞, 0), the function is increasing. This means that as the value of x decreases, the value of h(x) increases. The graph of the function looks like a parabola that opens downward and is symmetric around the y-axis. The graph is a concave down curve, and the y-intercept is at (0, 0). As the value of x gets closer to 0, h(x) approaches negative infinity. As x approaches infinity, h(x) approaches 0. This means that the range of h(x) is (-∞, 0].In order to determine if the function is increasing or decreasing on a given interval, we need to look at the sign of the derivative of the function on the interval.
The derivative of h(x) is -2/sqrt(x).
For the interval (0, [infinity]), the derivative of h(x) is negative, indicating that the function is decreasing.
For the interval (–[infinity], 0), the derivative of h(x) is positive, indicating that the function is increasing.
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The PTA Created a cross-country trail for the meet. The PTA placed a trail marker in the ground every four hundred yards the PTA set up a water station . The PTA wants to cover the wet areas of the trail with wood chips. They find that one bag cover a 3 1/2 yard section of the trail . If there is a wet section of the trail that is approximately 50 1/4 yards long, how many bags of wood chips are needed to cover the wet section of the trail?
Answers
9514 1404 393
Answer:
14.4 or 15 bags
Step-by-step explanation:
The number of yards covered by x bags is ...
(3 1/2)x = 50 1/4
x = (50 1/4)/(3 1/2) = 50.25/3.5 ≈ 14.4*
We assume that bags of chips are available only in integer quantities.
The PTA will need 15 bags of wood chips to cover the wet section.
_____
* The exact answer is 14 5/14. We hope that an integer number is the desired solution, as anything more precise than that seems inappropriate in this context.
mean of 7
observations was calculated as 40. It was detected on rechecking that the value 63 was
wrongly copied as 36. Find the correct mean?
Answers
Answer:
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Because 63 is a multiple of 7
So.... 63/7
=9
So this shows us 9 is the mean
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Perform the test at the significant level is 0.05. A field biologist examined the sex ratio at birth of the lesser snow geese. A random sample of nests containing four eggs was taken. For each egg resulting in a live gosling, the laying order and the gender of the gosling were recorded. Of the 27 successfully hatched first eggs, 17 were male. Is there significant evidence that the proportion of male goslings is not 50%.
Answers
Using an hypothesis test, it is found that:
The p-value of the test is 0.177 > 0.05, which means that there is not significant evidence that the proportion of male goslings is not 50%.
----------------------------
Test if the proportion of male goslings is different of 50%.At the null hypothesis, it is tested if the proportion is of 50%, that is: \(H_0: p = 0.5\)At the alternative hypothesis, if is tested if the proportion is different of 50%, that is: \(H_1: p \neq 0.5\)----------------------------
The test statistic is given by:
\(z = \frac{X - p}{\sqrt{\frac{p(1-p)}{n}}}\)
In which
p is the proportion tested.X is the sample proportion.n is the size of the sample.----------------------------
The proportion tested is 0.5, thus \(p = 0.5\)The sample proportion is 17 out of 27, thus \(n = 27, X = \frac{17}{27} = 0.6296\).----------------------------
The value of the test statistic is:
\(z = \frac{X - p}{\sqrt{\frac{p(1-p)}{n}}}\)
\(z = \frac{0.6296 - 0.5}{\sqrt{\frac{0.5\times0.5}{27}}}\)
\(z = 1.35\)
----------------------------
Two-tailed test, thus the p-value of the test is P(|z| > 1.35), which is 2 multiplied by the p-value of z = -1.35.Looking at the z-table, z = -1.35 has a p-value of 0.0885.The p-value of the test is: \(0.0885 \times 2 = 0.177\)The p-value of the test is 0.177 > 0.05, which means that there is not significant evidence that the proportion of male goslings is not 50%.
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Which of the following does NOT show an identity property?A.2+1=3B.3-0=3C.4×1=4D.5÷1=5
Answers
Option B
Explanation
Option B which 3 - 0 = 0
all other option have an expression indicating 1
2 + 1 = 3
4 x 1 = 4
5 / 1 = 5
only option b does have 1 which is zero
use the formula for future value A=P( 1 + rt ) and elementary algebra to find the missing quantity. A= $2,176 r = 7% t= 4 years
Answers
Solution
For this case we have the following info:
A= 2176$ represent the present value
r= 7% = 0.07
t= 4 years
Replacing into the formula:
\(A=P(1+rt)\)We got:
\(A=2176(1+0.07\cdot4)=2785.28\)then the answer would be:
2785.28$
What is the product
2 1/3 times 3 1/4
Answers
Answer:
\(7\frac{7}{12}\)
Step-by-step explanation:
Find the present value of an annuity which pays ` 200 at the end of each 3 months for 10 years assuming
money to be worth 5% converted quarterly?
(a) ` 3473.86
(b) ` 3108.60
(c) ` 6265.38
(d) None of thes
Answers
The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.
To find the present value of an annuity, we can use the formula:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.
In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.
Plugging in these values into the formula, we get:
PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05
Simplifying the equation, we find:
PV ≈ 200 * (1 - 0.12198) / 0.05
PV ≈ 200 * 0.87802 / 0.05
PV ≈ 35160.4 / 0.05
PV ≈ 7032.08
Therefore, the present value of the annuity is approximately `7032.08.
None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.
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PLEASE HELP!!! i’m taking a test rn and i don’t remember learning this!!!!
What shape should you sketch based on the center of the hyperbola and
a,b?
A. triangle
B. circle
C. trapezoid
D. rectangle
Answers
Answer:
Rectangle
Step-by-step explanation:
How oils the following triangle be classified ?
A. Isosceles acute
B. Scalene acute
C. Scalene Antier
D.isosceles obtuse
Answers
the triangle has all different sides and are all less than 90 degrees
Complete the following statements.
In general, ________% of the values in a data set lie at or below the median.
________% of the values in a data set lie at or below the third quartile (Q3).
If a sample consists of 2100 test scores, ________ of them would be at or below the second quartile (Q2).
If a sample consists of 2100 test scores, ________ of them would be at or above the first quartile (Q1).
Answers
In general, 50% of the values in a data set lie at or below the median.
75% of the values in a data set lie at or below the third quartile (Q3).
If a sample consists of 2100 test scores, 1100 of them would be at or below the second quartile (Q2).
If a sample consists of 2100 test scores, 525 of them would be at or above the first quartile (Q1).
What are quartiles?Three values called quartiles divide sorted data into four equal portions with the same amount of observations in each.
One kind of quantile is a quantile. Q1, or the lower quartile, is another name for the first quartile.
Second quartile: Also referred to as the median or Q2.
Third quartile, or the upper quartile, is also referred to as Q3.
The second quartile is 50%
Samples of 2100 test scores that are at or below at the second quartile
= 50% of 2100
= 0.5 * 2100
= 1100
The first quartile is 25%
= 0.25 * 2100
= 525
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A conical container can hold 120 pie cubic centimeters of water the diameter of the base of the container is 12 centimeters the height of the containers centimeters. If the diameter and height were both doubled the containers capacity would be times its original capacity
Answers
Given that the diameter of the base is 12 centimeters, the radius (r) is half of the diameter, which is 6 centimeters. The original height of the container is h centimeters.
Using the formula for the volume of a cone, we have:
V = (1/3)π(6^2)h
V = 36πh
We are told that the container can hold 120π cubic centimeters of water. Therefore:
36πh = 120π
To find the value of h, we divide both sides of the equation by 36π:
h = 120π / (36π)
h = 10/3
So the original height of the container is 10/3 centimeters.
Now, if we double both the diameter and height of the container, the new diameter would be 2 * 12 = 24 centimeters, and the new height would be 2 * (10/3) = 20/3 centimeters.
The new volume (V') can be calculated using the same formula:
V' = (1/3)π(12^2)(20/3)
V' = 480π/9
V' = 160π/3
To find the ratio of the new volume to the original volume, we divide the new volume by the original volume:
V' / V = (160π/3) / (120π)
V' / V = (160/3) / (120)
V' / V = 4/3
Therefore, the capacity of the container after doubling the diameter and height would be 4/3 times its original capacity.
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A one-way data table summarizes
A. a single input's impact on the output of interest
B. values of the input cells that will cause the single output value to equal zero
C. multiple input's impact on a single output of interest
D. values of cells when not all of the model is observable on the screen
Answers
Answer:
A
Step-by-step explanation:
hope this helps! :) Hope you have. a great day
the triangle below js equilateral. find the length of side x in the simplest radical form with a rational denominator
Answers
The length of side x is given as follows:
\(x = \frac{11\sqrt{3}}{3}\)
What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.For this problem, we have that:
The angle is of 60º.The adjacent side is of x.The opposite side is of 11.Applying the tangent, the length x is obtained as follows:
tan(60º) = 11/x
x = 11/tan(60)º
\(x = \frac{11}{\sqrt{3}}\)
\(x = \frac{11\sqrt{3}}{3}\)
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A 3 phase traffic signal is designed with 2 seconds of all red per phase and phase lengths of 25 seconds, 30 seconds, and 15 seconds. The cycle length is ____ seconds.
Answers
Answer:
\(CL=76secs\)
Step-by-step explanation:
From the question we are told that:
Traffic Phases p=3
Phase time Lengths
25 seconds, 30 seconds, and 15 seconds
Red Per Phase \(T=2sec\)
Generally the equation for Cycle Length is mathematically given by
\(CL=Phase\ Length+Red\ Per\ Phase\)
\(CL=(25+2)+(30+2)+(15+2)\)
\(CL=76secs\)
Find the slope of the line passing through (4,8) and (4,-11)
Answers
Answer:
m = undef
Step-by-step explanation:
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)
Simply plug in our coordinates into the formula:
m = (-11 - 8)/(4 - 4)
m = -19/0
m = undef
ANSWER FAST!!!
1) which family member ate the most pizza?
2) if the company offered an extra large pizza, how could you find out how much of it a person ate if they cut their own piece with a central angle of M?
Answers
1. Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter
2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M°
How to calculate the valueAndy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter. This means that she ate 100% of the pizza. Andy's wife ate 2/6 of the small pizza, which is 12 inches in diameter. This means that she ate 1/3 of the pizza. Andy's younger daughter ate 1/8 of the medium pizza, which is 14 inches in diameter.
This means that she ate 12.5% of the pizza. Andy cut himself a piece that had a central angle of 180° from the large pizza, which is 16 inches in diameter. This means that he ate 50% of the pizza.
The least amount of pizza was eaten by Andy's younger daughter. She only ate 1/8 of the medium pizza.
2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M° by using the following formula:
Percentage of pizza eaten = (M° / 360°) * 100%
For example, if a person cut themselves a piece of an extra large pizza with a central angle of 180°, they would have eaten 50% of the pizza.
Percentage of pizza eaten = (180° / 360°) * 100% = 50%
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You accidentally dialed one number on your phone’s keypad. Find the probability that the number you dialed is greater than or equal to 0
Answers
Answer:
100%
Step-by-step explanation:
Your phone keypad consists of 10 numbers, 0-9. Since you typed only one number, and 0 is the lowest possible number, that means every number you choose will have to be either 0 or greater than 0. Tell me if that makes sense or not.
*NEED HELP NOW MATH HOMEWORK* Use the distributive property to simplify the expression. The expression is 8(5+w) simplify it please!!!
Answers
Answer:
40+8w
Step-by-step explanation:
Heya! When it comes to using the distributive property, you multiply the numbers inside the parenthesis with the outside number. In that case, 5 and 8 gives you a product of 40, and 8 and w give you a product of 8w. I hope this helped! <3 (Please mark as brainliest if I got this right!)
Answer:
40+8w
Step-by-step explanation:
8x5+8w
please help with this!! extra points
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The scatter plot and the line of best fit show the relationship between the grams of protein and the grams of fat of different fast food items.
The equation for the line of best fit is shown below.
y=0.96x + 6.7
This means that on average, for every additional gram of protein, the food item will contain ____ additional grams of fat. The y-intercept means that a food item with _____grams of protein would have _____ grams of fat.
Answers
Answer:
The equation for the line of best fit is shown below.
y=0.96x + 6.7
This means that on average, for every additional gram of protein, the food item will contain _0.96_ additional grams of fat. The y-intercept means that a food item with _0_grams of protein would have _6.7_ grams of fat.
Step-by-step explanation:
For unit x, the protein, increases, fat increase by 0.96, as shown in the equation. The y-intercept is the point (0, 6.7) which means no protein, but 6.7 fat as shown in the graph.
I hope this helps! :)
What is 1/2 plus 1/3 plus 5/6 ??
Answers
Answer:
10/6 or 5/3
Step-by-step explanation:
1/2 ---> 3/6
1/3 ---> 2/6
5/6 ---> 5/6
Add those new fractions together:
(3/6) + (2/6) + (5/6) = 10/6 or 5/3
Answer:
10/6 or 5/3
Step-by-step explanation:
Hope it help's :)
Korl spent $46.20 on 12 gallons. what was the price per gallon?
Answers
Answer:
3.85
Step-by-step explanation:
46.20/12
12 goes into 46.20
3.85
can smby help me plz ?!
Answers
Answer:
i need these points sorry
Step-by-step explanation:
What is the answer to this question really need the answer
Answers
Answer:
A, B, D
Step-by-step explanation:
2 x 3x =6x - 2 times 9y which equals 18y+ and 2 times 18 equals 36 so 2(3x-9y+18)
What is the axis of symmetry and vortex of the problem below
Answers
Answer:
The axis of symmetry is x = -2
The vertex is (-2, 5)
Explanation:
For a quadratic equation of the form:
\(y=ax^2+bx+c\)The formula for the axis of symmetry is:
\(A_{symmetry}=-\frac{b}{2a}\)In this case, a = -1 and b = -4
Thus:
\(A_{symmetry}=-\frac{-4}{2(-1)}=-\frac{4}{2}=-2\)Thus, the axis of symmetry is x = -2
To find the vertex, we need to find the value of y in the axis of symmetry. Then, we need to evaluate the equation for x = -2:
\(y=-(-2)^2-4(-2)+1=-4+8+1=5\)The vertex is (-2, 5)
Among all rectangles that have a perimeter of 172
, find the dimensions of the one whose area is largest. Write your answers as fractions reduced to lowest terms.
Answers
Answer: 43x43 units 1849 units^2
The length of a rectangular garden is two feet more than twice its width. If the perimeter is 40 feet, find the width.
Answers
Explanation-
P=2W+2L=2/W+L) = 40
2 (W+ L) = 40 Divide both sides by 2
W+L= 20
W=2+L/2
W+L= 20
2+1/2+1= 20
2+1/2+2112= 20
2 + 3 L/ 2 = 20 Subtract 2 to both sides
2+3112-2=20 -2
3 L/ 2 = 18 Multiply both sides by 3
3 L= 36 Divide both sides by 3
P=2L+2W formula for perimeter of a rectangle
40=2x+2[(x/2)+2]....substitute for "P, L, W"
=2x+x+4..............distribute 2 to each term in brackets
3x=36......................subtract 4 from each side, rewrite
∴ x=12.....................divide both sides by 3
∴ L=12 feet .............length is 12 feet
W=(12/2+2)
=6+2
∴ W=8 feet..............width is 8 feet
absolute value evaluate problem
|-4| =?
SHOW WORK:
Answers
The expression |-4| has a value of 4 when evaluated
How to evaluate the absolute expressionFrom the question, we have the following parameters that can be used in our computation:
|-4|
The above expression is an absolute expression
So, the solution is the positive value of the expression in bracket
Evaluate the expressions in the brackets
So, we have the following representation
|-4| = 4
Hence, the expression has a value of 4
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