What is the compound interest if the principle is 2500, the rate is 8%, the time is 4 years, and it's compounded annually? Please add explanation
Answers
Answer:
901.22
Step-by-step explanation:
It is given that,
Principal = 2500
Rate of interest = 8% = 0.08 compounded annually.
No. of times interest compounded in a period = 1
Time is 4 years.
Formula for amount is
\(A=P(1+\dfrac{r}{n})^{nt}\)
where, P is principal, r is rate of interest, n is number of times interest compounded in period and t is number of years.
Substitute P=2500, r=0.08, n=1 and t=4 in the above formula.
\(A=2500(1+\dfrac{0.08}{1})^{1(4)}\)
\(A=2500(1.08)^{4}\)
\(A\approx 3401.22\)
So, the compound interest is
\(C.I.=A-P\)
\(C.I.=3401.22-2500\)
\(C.I.=901.22\)
Therefore, the compound interest is 901.22.
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(HELP NEEDED) (PAST DUE) (STUCK) Please write a number line for the number 3
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Which rule can be used to describe the x-coordinates in the translation below?.
On a coordinate plane, triangle A B C is shifted 6 units up.
x + 0
x + 6
x – 6
x + 2
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If the x-coordinate is shifted 6 units up, the resulting function will be x + 6 since it is shifted along the positive axis.
What is translation?A translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction.
Given the coordinate point on an xy plane as (x, y)
If the x-coordinate is shifted 6 units up, the resulting function will be x + 6 since it is shifted along the positive axis.
Learn more on translation here; https://brainly.com/question/12861087
100×0.23 =
101×0.23 =
102×0.23 =
103×0.23 =
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Answer:
104x0.23
Step-by-step explanation:
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If the area of the rectangle is 112 square units, what is the area of the dark shaded part?
Answers
please help me with my homewoork
Answers
Answer: x ≥ 3
Step-by-step explanation:
Answer:
-1 ≤ x/-3
-3 • -1 ≤ x/-3 • -3
3 ≤ x
therefore, it is less than or equal to 3 (any number 3 or less than)
hope this helps, please give brainlist!!!!!!
This is due in an hour pls help!!
Answers
To design a spinner with the given probabilities, we can use the following sectors:
A sector covering 60 degrees for the number 1, with probability 1/6.
A sector covering 120 degrees for the number 3, with probability 1/3.
A sector covering 180 degrees for the number 7, with probability 1/2.
A sector covering 180 degrees for the odd numbers (1 and 3), with probability 1.
To create the spinner, draw a circle and divide it into four equal sectors. Color one sector red for the number 1, color two adjacent sectors green for the number 3, color one remaining sector blue for the number 7. Finally, color half of the blue sector green to represent the odd numbers.
The resulting spinner will have the desired probabilities: P(1) = 1/6, P(3) = 1/3, P(7) = 1/2, P(odd number) = 1.
what is 6/8 times 5
make sure its a fraction
Answers
Answer:
6/8 x 5 is 15/4
Answer:
3 3/4
Step-by-step explanation:
3.75 = 3+0.75 = 3+75/100
gcd(75,100) = 25
3.75 = 3+(75/25)/(100/25) = 3+3/4 = 15/4
If this helped you out (which I hope it did lol) make sure to make this brainliest, I would greatly appreciate it.
How do I do the metric system?
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Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
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According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
the stock market measures earnings per share of stock of companies on monday, company abc opened and closed at $22.31 per share. on tuesday it rose $0.27 per share. on wednesday it fell $1.12 per share. on thursday it fell another $1.16 per share. on friday it gained $0.10 per share. what was the price of a share of stock for company abc at the close of the stock market on friday
Answers
Answer:
20.4
Step-by-step explanation:
22.31 + .27 -1.12 -1.16+.10
help i will love if you help<3
Answers
Answer:
So, equiangular triangles are also called similar triangles. For example, triangle DEF is similar to triangle ABC as their three angles are equal. The length of each side in triangle DEF is multiplied by the same number, 3, to give the sides of triangle ABC.
Step-by-step explanation:
hope
i
helped
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Part 3 Directions: Use pictures and equations to show your work.
At the end of the year, Mrs. Weeks bought an assortment of new balls to replace some of the old ones. She had $150.00 to spend. Describe two different ways that Mrs. Weeks could spend her money if she bought at least two of each of the balls.
Football $8.00
Basketball $9.00
Baseball $7.00
Softball $5.00
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A game show has a contestant pick one of five doors to reveal the prize the contestant wins. A photo of a new boat is behind one of the doors, and joke prizes are behind the others. Which BEST describes the probability of winning the new boat?
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Hi,
It is unlikely that the game show contestant will win the boat.
To be exact it is 20% chance that the game show contestant will win the boat.
XD
Which statement best describes the area of Triangle ABC shown below?
A triangle ABC is shown on a grid. The vertex A is on ordered pair 3 and 5, vertex B is on ordered pair 4 and 1, and the vertex C is on ordered pair 2 and 1.
(1 point)
It is twice the area of a square of side length 2 units.
It is one-half the area of a square of side length 2 units.
It is twice the area of a rectangle of length 2 units and width 4 units.
It is one-half the area of a rectangle of length 2 units and width 4 units.
Answers
Answer:
It is one-half the area of a rectangle of length 4 units and width 5 units.
Step-by-step explanation:
Cole builds a rocket with the dimensions shown. Suppose the rocket separates into the original parts before falling to Earth. How does the combined surface areas of the parts compare to the surface area of the assembled rocket?
Answers
Answer:
In flight, a rocket is subjected to the forces of weight, thrust, and aerodynamics. On this slide, we have removed the outer "skin" so that we can see the parts. The payload of the German V2, shown in the figure, was several thousand
Step-by-step explanation:
This was answered which is probably correct but.. Mind helping me on this? https://brainly.com/question/23506969 thanks!
x-2y=3, x^2-2y=3, x^2-2xy+4y^2=11, find the value of x^2y-2xy^2
Answers
This is a system of three equations with two unknowns, x and y. To solve it, we can use the method of elimination. First, we can eliminate y by subtracting the first equation from the second equation:
x^2-2y=3 - (x-2y=3) => x^2-x=0
Then we can factor the resulting equation and find the values of x:
x^2-x=0 => x(x-1)=0 => x=0 or x=1
Next, we can substitute these values of x into any of the original equations and find the corresponding values of y. For example, using the first equation:
x-2y=3 => 0-2y=3 => y=-3/2 when x=0 x-2y=3 => 1-2y=3 => y=-1 when x=1
Finally, we can substitute these values of x and y into the expression x2y-2xy2 and evaluate it:
x2y-2xy2 => 02(-3/2)-2(0)(-3/2)2 => 0 when x=0 and y=-3/2 x2y-2xy2 => 12(-1)-2(1)(-1)2 => -3 when x=1 and y=-1
Therefore, the value of x2y-2xy2 can be either 0 or -3 depending on the values of x and y.
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
Answers
and
C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Multiply these two combinations since the faculty members and students are selected independently:
Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045
Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:
C(7, 4) = 7! / (4!(7 - 4)!) = 35.
So, there are 35 ways to select 4 faculty members from the 7 eligible ones.
For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:
C(13, 5) = 13! / (5!(13 - 5)!) = 1287.
Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.
To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:
35 * 1287 = 44,895.
Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.
Lauren and Aidan left their offices at 6:15 p.m. and drove to meet at a restaurant the same distance away from their offices for dinner.
Lauren drove at a constant speed of 39 miles per hour.
Aidan drove at a constant speed of 42 miles per hour.
Aidan reached the restaurant at 6:35 p.m.
How far away was Lauren from the restaurant when Aidan reached?
Answers
Answer:
D.
Step-by-step explanation:
It doesnt give us anymore facts or information about when they got there or anything.
What is the median of this data set?
Answers
Answer:
58
Step-by-step explanation:
It is the middle point/dot
in the box with the line
Which fraction is less than the fraction represented by the model? A circle divided into 8 equal parts. 5 parts are shaded. Three-fourths Start Fraction 11 Over 16 End Fraction Start Fraction 13 Over 16 End Fraction Start Fraction 2 Over 4 End Fraction
Answers
Answer:
Step-by-step explanation:
The fraction represented by the model is 5/8. To compare it with the given fractions, we need to convert them to have the same denominator of 8.
- Start Fraction 11 Over 16 End Fraction = 11/16 = 0.6875
- Start Fraction 13 Over 16 End Fraction = 13/16 = 0.8125
- Start Fraction 2 Over 4 End Fraction = 2/4 = 1/2 = 0.5
To compare these fractions to 5/8, we can see that 0.5 is less than 0.625 (which is 5/8), so Start Fraction 2 Over 4 End Fraction is less than the fraction represented by the model. Therefore, the answer is Start Fraction 2 Over 4 End Fraction.
PLEASE HELP DUE NOW!!!!
Answers
Answer:
4. x=120
5. x=65
9. x=150
10. x=45
Step-by-step explanation:
4. Half=180
There is already a 60, so you do 180-60=120. x=120.
5. This is a parallel line, so you determine the opposite angle of 115, which is 65. That just becomes the x. x=65
9. It is similar to #5, You look at the opposite side of 30 (15+15) which is 150. That just comes to the other side which is x=150.
10. A triangle has 180 degrees in total. 45 degrees is already given, and line j is 90 degrees which means a full line is 180. 180-90=90.
90+45=135
180-135=45
x=45
Hope this helped!
Answer:
4. x=120
5. x=65
9. x=150
10. x=45
Step-by-step explanation:
4. Half=180
There is already a 60, so you do 180-60=120. x=120.
5. This is a parallel line, so you determine the opposite angle of 115, which is 65. That just becomes the x. x=65
9. It is similar to #5, You look at the opposite side of 30 (15+15) which is 150. That just comes to the other side which is x=150.
10. A triangle has 180 degrees in total. 45 degrees is already given, and line j is 90 degrees which means a full line is 180. 180-90=90.
90+45=135
180-135=45
x=45
Given −58.01 × 4.2, find the product.
Answers
answer: -243.642
because -58.01 times 4.2 is -243.642
Answer:
-243.6420
Step-by-step explanation:
-58.01
4.20
‐---------
0000
11602
23204
‐---------
- 243.6420
‐---------
Help me please! Bookwork code:k90
Answers
Answer:
Step-by-step explanation:
Let’s mark the Triangle Points as Point A, Point B, Point C.
Point A = 1x°
Point B = 2x°
Point C = 3x°
We know that the Angle Sum of a Triangle is equal to 180°.
So, Point A + Point B +Point C = 180°
= 1x° + 2x° + 3x° = 180°
= (1 + 2 + 3)x° = 180°
= 6x° = 180°
= x° = (180/6)°
= x° = 30°
| — — |
| Point A = 1 * 30° = 30° | ⇒
| Point B = 2 * 30° = 60° | ⇒ Only Extra Information
| Point C = 3 * 30° = 90° | ⇒
| — — |
Learn more about Finding Angles here
Visit —
https://brainly.com/question/28293784
https://brainly.com/question/31507476
Hope my answer helps you ✌️
Mark BRAINLIEST
Point A- 1x
Point B- 2x
Point C- 3x
We know that Angle sum property of a triangle states that the sum of angles of a triangle is 180•
So 1x+ 2x+ 3x = 180
Take X out as common
(1+2+3)x = 180
6x= 180
x=180/6
x= 30•
Which is your answer
Pls mark as brainliest
PLEASE HELP!! ???? DONT KNOW THIS
Answers
Answer:
Here's the solution I created on Overleaf:
Reggie works at Bright Bouquets flower shop.
Yesterday, he made 4 centerpieces, which would normally use up an entire shipment of roses. In the shop's latest shipment,
12 roses were wilted, so Reggie couldn't use them. He used the remaining 36 roses in the centerpieces.
Which equation can you use to find how many roses, x, Reggie normally uses in a centerpiece?:?????????? HELP
Answers
Answer:
He normally uses 12 roses in a centerpiece
Step-by-step explanation:
The equation he can use will be,
4x - 12 = 36
4x = 48
x = 12
X= 12
48dividedby4=x
PLEASE HELP FAST, I CANT GET IT WRONG
Answers
Answer: I think it is 12 divided by 7
A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image. What is the volume of this piece? What is the volume of the other piece?
HELP
Answers
The volume of the original rectangular prism is given by:
V1 = length x width x height
= 5 inches x 13 inches x 10 inches
= 650 cubic inches
To find the volume of the remaining piece, you need to determine its dimensions. If you have an image or a description of the piece, you can use that information to calculate its volume. Once you have the volume of the remaining piece, you can subtract it from the volume of the original rectangular prism to get the volume of the piece that was cut out.
To find the volume of the other piece, you can subtract the volume of the piece that was cut out from the volume of the original rectangular prism:
V2 = V1 - V_cut_out
where V_cut_out is the volume of the piece that was cut out.
Part 1) Jessica has $250.78 in her bank account. She buys a bike for $300.36. What is her account balance now? Part 2) Using your answer from part one, if Jessica earns $75.50 the next week from delivering newspapers and deposits it in her account, what will her account balance be then?
Answers
Answer:
Part 1. Jessica will have a negative balance of $49.58.
Part. 2 Jessica will have a positive balance of $25.92
Step-by-step explanation:
Part 1. subtract $300.36 from $250.78.
Part 2. Add $75.50 to $-49.58
Answer:
25.92
Step-by-step explanation:
250.78 - 300.36 = - 49.58 +75.50 = 29.92
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
The radius of a circle is 9 cm. Find its area in terms of π.