The amount of interest that's owed by Darius after 6 months will be $14
Principal = $500
Rate = 5.6%
Time = 6 months.
Based on the information given, the simple interest will be calculated as:
Simple Interest = PRT/100
Simple Interest = ($500 × 5.6 × 1/2) / 100
Simple Interest = $1400/100
Simple Interest = $14
Therefore, the amount of interest that's owed by Darius after 6 months will be $14
Read related link on:
https://brainly.com/question/20892321
a+a+d+a = 11. what are there values
The ratio of blue marbles to green marbles in the box is 13 to 24.
How many marbles are in the box?
Answer:
37
Step-by-step explanation:
13 blue
24 green
Which of the following is(are) the solution(s) to . |X+6| = 2x - 1?
A. X = -5/3
B. x = 7
c. x=7,-5/3
D. x=-7,5/3
Answer:
B
Step-by-step explanation:
|x+6|=2x+1 = 7
You don't have to mark as brainliest if you don't want to, I'm just happy I got help you!
[tex]3\sqrt{4x^{2} } +2=9[/tex]
solve for x
Answer:
[tex]x[/tex] = [tex]\frac{7}{6}[/tex]
Steps:
3[tex]\sqrt{4x^{2} }[/tex]+2 = 9
3[tex]\sqrt{4x^{2} }[/tex] = 9-2
3[tex]\sqrt{4x^{2} }[/tex] = 7
[tex]\sqrt{4x^{2} }[/tex] = 7 ÷ 3
[tex]\sqrt{4x^{2} }[/tex] = [tex]\frac{7}{3}[/tex]
[tex]4x^{2}[/tex] = [tex](\frac{7}{3})^{2}[/tex]
[tex]4x^{2}[/tex] = [tex]\frac{49}9}[/tex]
[tex]x^{2}[/tex] = [tex]\frac{49}9}[/tex]÷4
[tex]x^{2}[/tex] = [tex]\frac{49}{36}[/tex]
[tex]x^{2}[/tex] = [tex]\frac{49}{36}[/tex]
[tex]x[/tex] = [tex]\sqrt \frac{49}{36}[/tex]
[tex]x[/tex] = [tex]\frac{7}{6}[/tex]
Hope this will help :)
For the expression y + 6 - 3, determine the coefficient for the variable term.
Answer:
3
Step-by-step explanation:
Determine the coefficient of y+ 6 - 3 in the binomial expansion y+ 3(2-1)
3(2+-1) + y = + 3(2) - (3)^-1 = 3
= y + 6 - 3 = y+3
remember to add a minus sign before every second term then a plus.
Now we see that in the term where y is in factor 3 as asked in the question (this is the term 2(3), the coefficient is therefore 3.
Which equation represents a proportional relationship?
y=x+4
y = 4x
y = 4x + 1
y = x-4
Y=4x+1 is the answer to your question
Paula bought a rectangular picture frame. The frame is 20 inches wide and 24 inches long. What is the perimeter of the picture frame?
Answer:
p=88
Step-by-step explanation:
(20*2)+(24*2)=
40+48=
88
Answer:
88cm
Step-by-step explanation:
Perimeter of a rectangle = 2 ( l + b )
Perimeter of Picture frame = 2 ( 24 + 20 )
= 48 + 40
= 88
L
6
K
3
6
6
Find the area of ALKJ.
8
Please help
Answer:
37.5
Step-by-step explanation:
KM^2=LM*MJ(consequence from the similarity of KLM and JLK )
=>36=LM*8
LM=36/8=4.5
=>S=6/2*(8+4.5)=3*12.5=37.5
Which table represents a linear function?
Answer:
the table b...
Step-by-step explanation:
..............
Answer:
The second table represents a linear function.
[tex] |x| |y| \\ 2| 7 \\ 4 | 9 \\ 6 | 11 \\ 8 | 13[/tex]
what is the gcf for 13 and 17
Answer: GCF of 13 and 17 is 1. 2.
Step-by-step explanation: Greatest common factor (GCF) of 13 and 17 is 1. We will now calculate the prime factors of 13 and 17, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13 and 17.
Answer:
1
Step-by-step explanation:
The only number it can be is 1
Find the area of the circle please
Answer:
A≈149.57
Step-by-step explanation:
what is 12/5 as a decimal & as a percent?
In the children’s game Don’t Break the Ice, small plastic ice cubes are squeezed into a square frame. Each child takes a turn tapping out a cube of "ice" with a plastic hammer, hoping that the remaining cubes don’t collapse. For the game to work the cubes must be big enough so that they hold each other in place but not so big that they are too difficult to tap out. In an SRS of 43 "ice cubes" the average width was 29.5 millimeters with a standard deviation of 0.12mm. Construct a 95% confidence level for the true mean width. Group of answer choices
Answer:
(29.46 mm, 29.54 mm).
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 43 - 1 = 42
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 42 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.018
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.018\frac{0.12}{\sqrt{43}} = 0.04[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 29.5 mm - 0.04mm = 29.46 mm
The upper end of the interval is the sample mean added to M. So it is 29.5 mm + 0.04mm = 29.54 mm
The 95% confidence level for the true mean width is: (29.46 mm, 29.54 mm).
A hurricane in the Gulf of Mexico takes 15 hours to travel 360 kilometers. What is the average speed of the hurricane in kilometers per hour?
Let R be the triangular region in the first quadrant with vertices at points (0,0), (a,0), and (0,b), where a and b are positive constants. Write dow the volume of the solid generated when region R is revolved about the x-axis?
Answer:
volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
Step-by-step explanation:
Given the data in the question and as illustrated in the image below;
R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)
from the image;
the equation of AB will be;
y-b / b-0 = x-0 / 0-a
(y-b)(0-a) = (b-0)(x-0)
0 - ay -0 + ba = bx - 0 - 0 + 0
-ay + ba = bx
ay = -bx + ba
divide through by a
y = [tex]\frac{-b}{a}[/tex]x + ba/a
y = [tex]\frac{-b}{a}[/tex]x + b
so R is bounded by y = [tex]\frac{-b}{a}[/tex]x + b and y =0, 0 ≤ x ≤ a
The volume of the solid revolving R about x axis is;
dv = Area × thickness
= π( Radius)² dx
= π ( [tex]\frac{-b}{a}[/tex]x + b )² dx
V = π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
Therefore, volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
The volume of the solid generated when region R is revolved about the x-axis is [tex]\frac{b^{5} }{3a^{2} }[/tex].
Equation of the line AB
[tex]y-0 = \frac{b-0}{0-a} (x-a)[/tex]
[tex]y = \frac{-b}{a} (x-a)[/tex]
What is the volume generated when a curve f(x) is generated about the x-axis?The volume generated when a curve f(x) is rotated about the x-axis in x∈(c,d) is given by:
[tex]V=\int\limits^d_c {y^2} \, dx[/tex]
So, the volume generated when line AB is rotated about the x-axis will be [tex]V=\int\limits^b_0 ({\frac{-b}{a} (x-a))^2} \, dx[/tex]
[tex]V=\frac{b^{5} }{3a^{2} }[/tex]
Therefore, the volume of the solid generated when region R is revolved about the x-axis is [tex]\frac{b^{5} }{3a^{2} }[/tex].
To get more about volume generation visit:
https://brainly.com/question/20784784
Sorry for the bad quality.
Answer:
B and C
Step-by-step explanation:
Two trains leave stations 560 miles apart at the same time and travel toward each other. One train travels at 90 miles per hour while the other travels at 110
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
Answer: the two trains will meet in 2.8 hours
Step-by-step explanation:
Step 1
Speed of train A = 90mph
Speed of train B = 110 mph
Since both trains are travelling towards each other , their effective speed will be= 90 mph + 110mph= 200mph
Step 2
we know that Speed = distance / time
therefore Time = Distance / speed
Distance = 560 miles
Speed = 200 mph
Time = 560miles / 200mph
2.8 hours
If a 20-foot tree casts a 40-foot shadow, how tall is a tree that casts a 48-foot shadow?
Lee has 8 1/4 feet of blue fabric and 4 2/4 of green
ribbon. How much more blue fabric does Gina have than green
fabric?
Answer:
3 3/4
Step-by-step explanation:
8 1/4 - 4 2/4 = 4 1/4 - 2/4 = 3 3/4
5) Rupesh is mowing grass to save money for a vacation. He charges $12 20 poin
per yard. Rupesh already has $40 saved to use on the vacation. Which
inequality can be used to determine how many yards Rupesh needs to
mow in order to have at least $148 to use on vacation? *
a. 40y + 12 < 148
C. 40y + 12 2 148
b. 12y + 40 148
d. 12y + 40 < 148
Answer:
12y+40=148
Step-by-step explanation:
if he charges 12usd for every yard then the money he will make from mowing y number of yards is 12y but he also already has 40 usd saved so we should and that to and we get 12y+40
5. Find the common difference or common ratio for the following sequence.
-1,8, 17, 26, ...
Answer:
common difference
d=8-(-1)=8+1=9
or d=17-8=9
or 26-17=9
and so on
< Previous
Submit Test
Tools
0 Info
3
Select the correct answer.
Auroras are lights that appear at Earth's northern and souther
cause of an aurora?
Answer:
Bottom line: When charged particles from the sun strike atoms in Earth's atmosphere, they cause electrons in the atoms to move to a higher-energy state. When the electrons drop back to a lower energy state, they release a photon: light. This process creates the beautiful aurora, or northern lights.
Step-by-step explanation:
Bottom line: When charged particles from the sun strike atoms in Earth's atmosphere, they cause electrons in the atoms to move to a higher-energy state. When the electrons drop back to a lower energy state, they release a photon: light. This process creates the beautiful aurora, or northern lights.
(03.05 HC)
In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals? (1 point)
a
5 + 3p ≥ 30
b
5 + 3p ≤ 30
c
5p + 3 ≥ 30
d
5p + 3 ≤ 30
Given:
Score in first round = 5 points
Score in second, third and fourth rounds was identical.
A participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round.
To find:
The inequality for the given problem.
Solution:
Let p be the number of points, p, that Steward scored in each of the second, third, and fourth rounds.
Score in first 4 rounds = Score of 1st round + Score of 2nd round + Score of 1s 3rd round + Score of 4th round
Score in first 4 rounds [tex]=5 + p + p + p[/tex]
[tex]=5 +3p[/tex]
A participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. It means the total score in first 4 rounds must be greater than or equal to 30.
[tex]5+3p\geq 30[/tex]
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
Look at the image for the problem
Answer:
8 inches
Step-by-step explanation:
By pythagoras theorem
u have sides of right angle triangle 10 and 6 and solving it u get third side which is 8 inches
Explain the differences between expressions and equations, in a few sentences.
Answer:
An expression is a combination of numbers, variables, and symbols to be solved. An equation has expressions that are separated by an equals sign.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Sample Response: An expression is written as a phrase and an equation is written as a statement. Equations are written as sentences with capitalization and punctuation. Expressions are written as phrases with no capitalization or punctuation. An equation has an equals sign and an expression does not.
what is the perimeter of the rectangle below
Answer:
66
Step-by-step explanation:
Mrs Tham bought z bottles of oil at $7 each. She gave the cashier $50.
[a]Find the change Mrs Tham received in terms of z.
(b) If z = 3, how much change did Mrs Tham receive?
Answer:
She bought 3 bottles of oil, and that would be a total of 21$ of oil so she should have recieved 29.00$ back so no change
Step-by-step explanation:
Find the value of y.
(6x - 13)
(3y + 1)
(8x - 61)
Answer:
y=1/3
Step-by-step explanation:
3y+1=0
3y=-1
3y/3=-1/3
y=-1/3
What is a reasonable approximation for angle B if the ratio of the adjacent leg
divided by the hypotenuse is 0.45?
Answer:
60°
Step-by-step explanation:
Cos(60°) = ½
Find y and simplify completely.
Answer:
Step-by-step explanation:
hello : here is an solution
9514 1404 393
Answer:
y = 6√7
Step-by-step explanation:
Using the geometric mean properties of this geometry, we have ...
y = √((12)(12+9)) = √(12·21) = √(36·7)
y = 6√7
