One lap around the track is 1/4 mile. Abby ran around the track 13 times.How far did she run?
You deposit $350 in a savings account. The account earns 2.5% simple interest per year. What is the balance after 2 years?
Answer:
Balance = $367.5
Step-by-step explanation:
The 2.5% of $350 is,
→ (350/100) × 2.5
→ 3.5 × 2.5
→ $8.75
The balance after 2 years is,
→ $350 + (2.5%) × 2 years
→ 350 + 8.75 × 2
→ 350 + 17.5
→ $367.5
Hence, the answer is $367.5.
The balance after 2 years on principle amount of $350 at the rate of 2.5% will be $525.
What is Simple interest?The simple interest method, which adds interest to the starting principal amount at the same rate every day, is a quick and easy technique to calculate the interest on that money.
Simple interest is a way to calculate the amount of interest that will be charged on a certain amount of money at a certain rate and for a certain period of time.
As per the information in the question,
Principle amount, p = $350
Rate, r = 2.5%
Time, t = 2 years.
Use the formula of simple interest,
[tex]S.I = (p*r*t)/100[/tex]
S.I = (350 × 2.5 × 2)/100
S.I = 17500/100
S.I = 175
Now, the total amount will be,
$350 + 175 = $525
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e vertices of a trapezoid are shown below. P(0, 0), Q(2, 0), R(2, 5), S(0, 10) This trapezoid is dilated about the origin by a scale factor of 3. What is the location of point Q'?
The location of point Q' after the dilation is (6, 0).
What is dilation?Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.
To dilate the trapezoid by a scale factor of 3 about the origin, we need to multiply the coordinates of each vertex by 3.
The coordinates of Q are (2, 0), so to find the coordinates of Q' after the dilation, we multiply both the x and y coordinates by 3:
Q' = (32, 30) = (6, 0)
Therefore, the location of point Q' after the dilation is (6, 0).
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Round 0.68 to the nearest tenth
Answer:
0.7
Step-by-step explanation:
Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an initial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?
A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
Answer:
26.25
Step-by-step explanation:
I took the test.
the elevation of Denver Colorado is 13 times greater than that of waikapu. hawaii.the sum of their elevations is 5600 ft. find the elevation of each city
Answer:
400ft
Step-by-step explanation:
The elevation of Waikapu, Hawaii is 400 feet, and the elevation of Denver, Colorado is 5200 feet, derived from a simple algebraic equation based on their given relationship and sum of elevations.
We are given that the elevation of Denver, Colorado is 13 times greater than that of Waikapu, Hawaii, and the sum of their elevations is 5600 ft. To find the elevation of each city, we can set up a system of equations.
Let x represent the elevation of Waikapu, then the elevation of Denver is 13x. According to the problem, we can set up the equation as follows:
x + 13x = 5600
Combining like terms gives us:
14x = 5600
Dividing both sides by 14 to isolate x gives us:
x = 5600 / 14
x = 400
Now that we have the elevation of Waikapu, we can find Denver's elevation by multiplying 400 by 13:
Denver's elevation = 13 x 400 = 5200 ft
Therefore, the elevation of Waikapu, Hawaii is 400 feet, and the elevation of Denver, Colorado is 5200 feet.
Of the 304 people who attended the school play,5/8 were students.How many of the people who attended were students?
What is the next expression in the following pattern: 4n; 8n; 16n???
Does 60, 63, 87 form a right triangle
A satellite is 18 meters wide. A model of it was built with a scale of 1 centimeter: 3 meters. How wide is the model?
Answer: 6 centimeters
Step-by-step explanation: I took the test and got this answer correct :)
15 POINTS!! HELP ME PLZ!!!
In conducting a survey of voters, a pollster selected every tenth name on a list of registered voters.
Which sampling technique did the pollster use?
a) convenience sampling
b) stratified sampling
c) systematic sampling
d) voluntary sampling
The answer is C: systematic sampling
Answer:
The awnser is C
Step-by-step explanation:
instruction: You must show all of your work bysl setting up the problem using combinatorics and simplifying completely.
question: There are 5 red marbles and 9 blue marbles in a bag. suppose two of the marbles are cracked. how many ways can four marbles be selected so that either no cracked marbles are selected or just one cracked marble is selected?
how do you write this in numerical expression and in a answer statement
Josie selected a number n. She divided n by 2 and then subtracted 0.5 from the result. She took half of that result and then subtracted 0.5 to get the final result of 10. What is the value of n?
1. A parallelogram with four congruent sides is a? 2. A polygon with all angles congruent is a? 3. Angles of a polygon that share a side are? 4. A blank is a quadrilateral with exactly one pair of parallel sides?
A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner. How far did the player run? Round your answer to the nearest meter.
The distance covered by a player on a rectangular football field will be 118.73 meters.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner.
Then the distance covered by a player on a rectangular football field will be given by the Pythagoras theorem.
H² = 100² + 64²
H² = 10000 + 4096
H² = 14096
H = 118.73 meters
The distance covered by a player on a rectangular football field will be 118.73 meters.
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how many kilograms is in 2,500 dekagrams
Can You show me how to do this?
macy is trying to construct an isosceles triangle. She assigns and angle measurement of 40 degrees to the unique angle of the triangle. She wants the length fo the opposite side (the base) to be 6 centimeters. How many isosceles triangles can macy construct using this information? A. 3 cm B. 10 centimeters, C. 12 Centimeters D. 14 centimeters, E. 18 centimeters
Answer:
the awnser is 2
Step-by-step explanation:
if she makes more that 2 the 3rd one wont be an isosoceles triangle
Can someone help me on both of the questions?!
Step-by-step explanation:
The expression for the pressure in terms of force is as follows;
[tex]P= \frac{F}{A}[/tex]
Here, F is the force, P is the pressure and A is the area.
It is given in the problem that an object exerts 140 N of force on a surface that has an area of 2.0 meter square.
Put F= 140 N and A= 2 meter square in the above expression.
[tex]P= \frac{140}{2}[/tex]
[tex]P= 70 N/m^2[/tex]
Therefore, the pressure exerts on the object is 70 N/m^2.
The motion of air particles inside an inflated balloons:
In the inflated balloons, the molecules of air are far apart. These molecules are in random motion. They collide each other inside the surface of the balloons. The pressure will be exerted by the air molecules on the surface of the balloons. The pressure caused by atmospheric molecules collides with the outside the surface is equal to the pressure caused by atmospheric molecules collides with inside the surface of the inflated balloons. Therefore, the volume of the balloons remains constant.
What symbol should be placed in the blank to make the equation true? 3 + 10___ 2 - 4 = 4
What is the volume of the pyramid to the nearest whole unit?
A. 1,134 yd^3
B. 567 yd^3
C. 378 yd^3
D. 284 yd^3
What is the slope of the graph shown below?
Answer: The correct option is (A) 4.
Step-by-step explanation: We are given to find the slope of the graph shown in the figure.
We can see that the graph is a straight line.
Also, the line passes through the points [tex](0,-3)[/tex] and [tex]\left(\dfrac{3}{4},0\right).[/tex]
We know the slope of a straight line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Therefore, the slope of the given line is
[tex]m=\dfrac{0-(-3)}{\frac{3}{4}-0}\\\\\\\Rightarrow m=\dfrac{3}{\frac{3}{4}}\\\\\\\Rightarrow m=3\times\dfrac{4}{3}\\\\\\\Rightarrow m=4.[/tex]
Thus, the required slope of the graph is 4.
Option (A) is correct.
25 POINTS TO WHO EVER ANSWERS!!!
1. An ice cream store owner randomly samples 50 customers each day on three separate days to give their opinion about which flavors should be flavor of the month.
Vanilla | Chocolate | Rocky Road | Cheesecake
Day 1: 13 | 12 | 11 | 14
Day 2: 12 | 15 | 11 | 14
Day 3: 15 | 7 | 8 | 20
Select from drop-down menu to complete the statement using the information in the "table".
Based on the results of the survey, if the ice cream store owner asks 2300 people, ____ will most likely pick vanilla to be flavor of the month.
2. The line plots show the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night.
x
x
x x
x x x x x x
<-+-+-+-+-+-+-+-+-+-+->
1 2 3 4 5 6 7 8 9 10
x x
x x x
x x x x x
<-+-+-+-+-+-+-+-+-+-+->
1 2 3 4 5 6 7 8 9 10
Select from the drop-down menus to complete each statement.
The range ________. The mean __________.
1. answers: 40, 150, 460, or, 613
2 A. answers: is greater for boys, is greater for girls or, us the same for both sets of data
2 B. answers: is the same for both sets of data, is greater for the boys or, is greater for the girls
A survey asked 10 boys and 10 girls how many hours they spent playing video games the previous week. The number of hours are given in the line plots.And please explain how you got the answer
The date set with the greater range is neither as the range is the same.
The median is not the same for both sets of data.
What is a median?
It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Number of boys = 10
The number of hours from the 10 boys.
= 8, 10, 10, 10, 12, 13, 14, 15, 15, 20
Range = Highest value - Lowest value
= 20 - 8
= 12
Median = (12 + 13)/2 = 25/2 = 12.5
Number of girls = 10
The number of hours from the 10 girls.
= 3, 4, 4, 4, 6, 7, 8, 10, 10, 15
Range = Highest value - Lowest value
= 15 - 3
= 12
Median = (7 + 8)/2 = 15/2 = 7.5
Thus,
The range of both boys and girls is the same.
The median of boy's number of hours is 12.5.
The median of girl's number of hours is 7.5.
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What is the equivalent factored form of 12x^4-42x^3-90x^2
What is 14.281 rounded to the nearest one?
combine the like terms 10 y + 1 x - 4y + 4x
A student used the equation below to create a table.
y = –3x – 5
The student used –2 as one of the values for the input. Which ordered pair could be taken from the table?
A. (–11, –2)
B. (–2, –11)
C. (–2, 1)
D. (1, –2)