Answer: $641.51
Step-by-step explanation:
A = p (1+ r/n)^nt
A = 500 (1 + 0.025/4)^4*10
A = 641.51
The amount in an account where $500 in invested at 2.5% is $641.51.
Using this formula
A = p (1+ r/n)^nt
Where:
A=Amount
P= Principal=$500
R=Rate=2.5% or 0.025
n=4 (Quarterly)
T=Time=10 years
Let pug in the formula
A = $500(1 + 0.025/4)^4×10
A=$500(1.28302)
A =$641.51
Inconclusion the amount in an account where $500 in invested at 2.5% is $641.51.
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SOMEONE PLS HELP ME!!! The mean of a set of five different positive integers is 15. The median is 18. Find the maximum possible value of the largest of these five integers.
Answer:
35
Step-by-step explanation:
We know that the mean is 15 and the median is 18. In order to solve this problem, we can work backwards. First, image the scenario:
15, 15, 15, 15, 15.
We want the median to be 18, we we can add 3 to the middle number and then subtract three from the first number (in order to keep the mean constant). Thus, we have:
12, 15, 18, 15, 15.
Now, we can subtract and add in order to find the largest number. For instance, we can subtract 11 from 12 and add that 11 to the last number:
1, 15, 18, 15, 26
Next, we can subtract 13 (not 14 because each of the numbers should be different) from the second number and add that to 26:
1, 2, 18, 15, 39.
Finally, the most we an do is to add 4 to the fourth number and subtract 4 from 39 because we want to keep the median 18. Thus:
1, 2, 18, 19, 35.
Each value is distinct.
The largest possible value is 35.
Answer:
35.
Step-by-step explanation:
Since the mean of the five different positive integers is 15, you can assume that they all add up to be 5 * 15 = 75. The median is 18, which means that the rest of the four numbers add to be 75 - 18 = 57, with two numbers higher than 18 and two numbers lower.
You want to find the highest possible values for the maximum, you want to have very low minimums (so you can keep the maximum high). Since the question asks for different positive integers, the lowest numbers you can have are 1 and 2. So far, you have 1, 2, and 18 in your data set, so you have 57 - 3 = 54 to work with for your maximum.
You still want the highest value for the largest of the integers, so the fourth number will be 19. That is because that is the lowest you can go that is still higher than the median. Then, in your data set, you will have 1, 2, 18, and 19, which add up to be 40.
Since all five numbers add to be 75, the maximum will be 75 - 40 = 35.
To make sure this is correct, check your work. 1 + 2 + 18 + 19 + 35 = 75. 75 / 5 = 15. The mean is 15. The middle number is 18, so the median is 18. All five are different positive integers.
And there you have it! The maximum possible value of the largest of these five integers is 35.
Hope this helps!
How many students all together?
Answer:
from the top of my head if I read the bars right I think its 98 but I could really see the bars
Answer:
102
Step-by-step explanation:
24+12+5+17+6+19+4+15= 102
Use the indicated x-values on the graph of y = f(x) to find the following.
Find intervals over which the graph is concave down. (Consider only the interval (a,h). Enter your answer using only interval notation.)
Answer:
(a,c) ∪ (f, g)
Step-by-step explanation:
The function is:
concave down in the intervals: (a,c) and (f, g)concave up in the intervals: (c, f) and (h, g)Draw the slope of the tangent lines of several points on the curve,
if the slope increases, the segment is concave upif the slope decreases, the segment is concave down.Does it matter which dimensions you select for the length and the width when you find the area of a rectangle? Explain. I need this by 1 : 36
Answer:
The area of a rectangle is the product of the length and the width of the rectangle.
The dimensions chosen for length and width of a rectangle must be the lengths of two adjacent sides. The area is the product of the two dimensions. It does not make a difference which one you call length and which one you call width since length * width = width * length because of the commutative property of multiplication.,
Answer:
To find the area you need both the length and width
A= lw
Practically it doesn't matter which one you call length or width as long as both of them used in the calculation. The product of them doesn't change.
I NEED HELP ASAP!!!! WILL MARK BRAINLIEST
Answer: 5x + 1
Step-by-step explanation:
f(x) - g(x)
(3x + 2) - (-2x + 1) Here you distribute the negative sign to (-2x + 1)
3x + 2 + 2x - 1 Here you combine like terms
5x + 1 This is the answer.
Sam has a collection of yellow and red cards. Yellow cards are worth 3 points and
red cards are worth 5 points. He has at most 15 cards, totaling at least 45 points.
This can be modeled by the following system.
y + r < 15
3y + 5r > 45
Graph the system. Then use the graph to determine which combination is a
solution.
1. 3 yellow and 9 red
2. 6 yellow and 4 red
3. 9 yellow and 3 red
4. 12 yellow and 8 red
Answer:1.
1. 3 yellow and 9 red
Step-by-step explanation:
r, the amount of red cards, is represented ox x-axisy, the amount of yellow cards, is represented ox y-axisIn the picture attached, the system is represented. The darker area shows all the points that are a solution to the system of inequalities.
The combinations can be rewritten as a coordinate pair, as follows:
1. 3 yellow and 9 red -> (9,3)
2. 6 yellow and 4 red -> (4,6)
3. 9 yellow and 3 red -> (3,9)
4. 12 yellow and 8 red -> (8,12)
As we can see in the picture, only the first option is a solution.
Please help me with this problem
Answer:
A- 30,968 + 31,211
Step-by-step explanation:
Since 62,179 minus 31,211 is equal to 30968, 30968 plus 31,211 can be used to help check the answer for 62,179 minus 31,211.
What is the slope of the line shown below? A. -1/3 B. 1/3 C. -3 D. 3
Answer:
C. -3
Step-by-step explanation:
Plugging both of those points into the slope formula gets you a slope of -3.
Find the slope of a line parallel to the line
12x + 3y = 15.
A parallel line would have slope m =
The solution is
Answer:
The answer is - 4Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
12x + 3y = 15
Express it in the form y = mx + c
3y = -12x + 15
Divide all terms by 3
y = - 4x + 5
From the equation m = - 4
Since the lines are parallel their slope are also the same
So the slope of the parallel line is also - 4
Hope this helps you
The trisectors of angles $B$ and $C$ of scalene triangle $ABC$ meet at points $P$ and $Q$, as shown. Angle $A$ measures 39 degrees and angle $QBP$ measures 14 degrees. What is the measure of angle $BPC$?
Answer:
BPC=52 degreees
Step-by-step explanation:
ROWAN IS CHEAT
Answer:
133 degrees
Step-by-step explanation:
I saw this answer in the comments and it is correct.
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
Answer:
B. Quadratic Function
Quadratic Term: 15x^2
Linear Term: 9x
Constant Term: -6
Step-by-step explanation:
1. F.O.I.L (firsts, outers, inners, lasts) the function
BREAK APART: 3x(5x - 2) and 3(5x - 2)
(fx) = 15x^2 - 6x + 15x - 6
f(x) = 15x^2 + 9x - 6
There is a square in the function, therefore it is quadratic. The quadratic term is the term being squared, and you go from there.
Please help answer this question Minni has to buy stickers, erasers, and a pencil. She can only spend $4. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Minni buy 2 stickers and 2 erasers? [Use the inequality 0.35x + 0.99y + 0.59 ≤ 4] (1 point) Select one: a. Yes, because the total will be $3.27 b. Yes, because the total will be $1.93 c. No, because the total will be $4.27 d. No, because the total will be $5.93
Answer: A
Since you already have an equation just put in how many stickers and erasers she wants to get: 0.35(2)+0.99(2)+0.59≤4.
Then you multiply: .35(2)=.70. .99(2)=1.98.
Then add: .70+1.98+.59=3.27, so yes she can since 3.27 is less than 4 so the answer is A
Answer:
A. yes, because the total will be $3.27
Step-by-step explanation:
0.35x + 0.99y + 0.59 ≤ 4
0.35(2) + 0.99(2) + 0.59 ≤ 4
0.70 + 1.98 + 0.59 ≤ 4
3.27 ≤ 4
Point Q(-1,5) is reflected across the line x=-1. What are the coordinates of its image?
(15)
(1-5)
-1.5)
Answer:
(- 1, 5 )
Step-by-step explanation:
Since the x- coordinate of Q, x = - 1 lies on the line of reflection.
The point Q will remain unchanged, that is
coordinates of image are (- 1, 5 )
Help help please.....Thanks
Hey there! :)
Answer:
56.7 kg.
Step-by-step explanation:
Use the density formula to solve for the mass:
D = m/V.
Rearrange in terms of mass, or 'm':
DV = m.
Solve for the volume:
0.06 × 0.9 × 1.5 = 0.081 m³.
Plug this into the equation along with the density:
700 × 0.081 = 56.7 kg.
Please help me match these formulas . :)
Answer:
1. equilateral triangle
2. rectangle
3. circle area
4. trapezoid
5. circle circumference
6. parallelogram
7. regular polygon
8. triangle
Hope that helps.
a group of 12 friends want to see a movie, only 7 seats are available for the current show, they draw straws to determine who will watch the movie and who will go to a leter show. how many different groups are posssible for the current showing of the movie? a 426 b 95,040 c 792 d 33, 264
Need help with trig problem in pic
Answer:
a) [tex]cos(\alpha)=-\frac{3}{5}\\[/tex]
b) [tex]\sin(\beta)= \frac{\sqrt{3} }{2}[/tex]
c) [tex]\frac{4+3\sqrt{3} }{10}\\[/tex]
d) [tex]\alpha\approx 53.1^o[/tex]
Step-by-step explanation:
a) The problem tells us that angle [tex]\alpha[/tex] is in the second quadrant. We know that in that quadrant the cosine is negative.
We can use the Pythagorean identity:
[tex]tan^2(\alpha)+1=sec^2(\alpha)\\(-\frac{4}{3})^2 +1=sec^2(\alpha)\\sec^2(\alpha)=\frac{16}{9} +1\\sec^2(\alpha)=\frac{25}{9} \\sec(\alpha) =+/- \frac{5}{3}\\cos(\alpha)=+/- \frac{3}{5}[/tex]
Where we have used that the secant of an angle is the reciprocal of the cos of the angle.
Since we know that the cosine must be negative because the angle is in the second quadrant, then we take the negative answer:
[tex]cos(\alpha)=-\frac{3}{5}[/tex]
b) This angle is in the first quadrant (where the sine function is positive. They give us the value of the cosine of the angle, so we can use the Pythagorean identity to find the value of the sine of that angle:
[tex]cos (\beta)=\frac{1}{2} \\\\sin^2(\beta)=1-cos^2(\beta)\\sin^2(\beta)=1-\frac{1}{4} \\\\sin^2(\beta)=\frac{3}{4} \\sin(\beta)=+/- \frac{\sqrt{3} }{2} \\sin(\beta)= \frac{\sqrt{3} }{2}[/tex]
where we took the positive value, since we know that the angle is in the first quadrant.
c) We can now find [tex]sin(\alpha -\beta)[/tex] by using the identity:
[tex]sin(\alpha -\beta)=sin(\alpha)\,cos(\beta)-cos(\alpha)\,sin(\beta)\\[/tex]
Notice that we need to find [tex]sin(\alpha)[/tex], which we do via the Pythagorean identity and knowing the value of the cosine found in part a) above:
[tex]sin(\alpha)=\sqrt{1-cos^2(\alpha)} \\sin(\alpha)=\sqrt{1-\frac{9}{25} )} \\sin(\alpha)=\sqrt{\frac{16}{25} )} \\sin(\alpha)=\frac{4}{5}[/tex]
Then:
[tex]sin(\alpha -\beta)=\frac{4}{5}\,\frac{1}{2} -(-\frac{3}{5}) \,\frac{\sqrt{3} }{2} \\sin(\alpha -\beta)=\frac{2}{5}+\frac{3\sqrt{3} }{10}=\frac{4+3\sqrt{3} }{10}[/tex]
d)
Since [tex]sin(\alpha)=\frac{4}{5}[/tex]
then [tex]\alpha=arcsin(\frac{4}{5} )\approx 53.1^o[/tex]
Help please....Thanks
Answer:
16 x 66 = 1056mm^2
Step-by-step explanation:
Let f be defined as shown. Which statement is
true?
Answers
The inverse of f exists
The inverse of f does not exists
Answer:
[tex]\boxed{\sf \ \ \ the \ inverse \ of \ f \ does \ not\ exist \ \ \ }[/tex]
Step-by-step explanation:
hello,
for one x you cannot get several values of f(x), otherwise this is not a function
as 6 and 7 gives 0 it means that
f(6)=f(7)=0 which is fine for f
but then for [tex]f^{-1}[/tex] it would mean that 0 has two different images
and this is not possible
so the inverse of f does not exist
hope this helps
This graph shows how the length of time a canoe is rented is related to the rental cost. What is the rate of change shown in the graph? A. $3/hour B. 3 hours/dollar C. $6/hour D. 6 hours/dollar
Answer:
what is the answer?
Step-by-step explanation:
Answer:
C. $6/hour
Step-by-step explanation:
AP3X
You are miguel Cervantes de Navas y colon, captain in the royal spanish army in Sevilla in the year 1842. Outside your barracks window is a stack of cannonballs, as shown in the illusion. On an idle afternoon you dicide to calculate the number of cannonballs in the stack. What is the number of cannonballs? A. 650 B. 506 C. 623 D. 571
Answer:
650
Step-by-step explanation:
1st row has 1 ball
2nd row has 4 balls
3rd row has 9 balls
4th row has 16 balls
We can see that the number of balls is the square of the row number. There are a total of 12 rows. So, rest of the rows has:
5th row has 25 balls
6th row has 36 balls
7th row has 49 balls
8th row has 64 balls
9th row has 81 balls
10th row has 100 balls
11th row has 121 balls
12th row has 144 balls
If we add up all those, we get total number of balls
please mark me brainliest!
HURRY I NEED HELP for 20 points
Beginning at the origin, how far do you travel along the y-axis when plotting the point below? (6, 12)
Answer:
the answer is 12
Step-by-step explanation:
because (6, 12) x axis is 6, and the 12 is the y axis. Meaning that you would go 12 along the y axis.
Answer:
I believe the answer is 12
10 + 3² - 6 = 7 10 11 13
Answer:
13
Step-by-step explanation:
Evaluate 3² then add and subtract, that is
10 + 3² - 6
= 10 + 9 - 6
= 19 - 6
= 13
what is the square of 5.5?
Answer:
30.25
Step-by-step explanation:
Answer: 2.345
Step-by-step explanation:
The square root of 5.5 is 2.345.
Can you help to solve this and explain how thanks in advance
Hey there! :)
Answer:
5.
Step-by-step explanation:
The pattern of this puzzle is to take the bottom two numbers of the triangle, find the sum, then divide by the top number. For example:
8 + 4 = 12 --> 12/3 = 4.
5 + 13 = 18 --> 18/6 = 3.
9 + 5 = 14 --> 14/2 = 7.
Therefore:
14 + 6 = 20 --> 20/4 = 5. The missing number is 5.
Answer: 5
Step-by-step explanation:
HELP QUICK ILL GIVE A Brainliest to the first person Which of the answer choices is a coordinate point from the table below?
Answer:
2/$5.00
Step-by-step explanation:
It's the only one that makes sense
Answer:
4,10
It is the only option on the table
Step-by-step explanation:
What is the form of the Sum of Cubes identity?
Answer:
D. a³+b³=(a+b)(a²-ab+b²)
Explanation:
That is the form of the Sum of Cubes identity
I NEED HELP !!! If the probability of an event is StartFraction 2 over 7 EndFraction, what must be the probability of its complement?
StartFraction 1 over 7 EndFraction
StartFraction 2 over 7 EndFraction
StartFraction 4 over 7 EndFraction
StartFraction 5 over 7 EndFraction
Answer:
The answer is StartFraction 5 over 7 EndFraction
Answer:
The probability of the complement of the original event is 5/7.
Step-by-step explanation:
The probability of the complement of an event is 1 less the probability of the event, so
We get: 1 - 2/7, or 5/7
The probability of the complement of the original event is 5/7.
Note that 5/7 and 2/7 add up to 7/7, or 1.
Find the volume of a cylinder that has the following dimensions. Do not round your answer.
(Use 3.14 for pi.)
Radius = 5 cm
Height = 0.25 m
Volume = __ cm3
Answer:
19.625 cm^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = 3.14 * 5^2 * .25
V =19.625 cm^2
Instructions
Search your home for a rectangular prism. Some examples are a cereal
box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.
Complete the following. Show all work for calculations.
Part 1).List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 3 1/2in
Width: 1 1/2in
Height: 7in
Part 2) Describe the shape of the cross section when the box is cut parallel to the base.
• The cross section had a rectangular shape and goes through the box minimizing the width of the shape.
Part 3) What is the surface area of the box?
• 80.5 square inches
Part 4) What is the surface area of the box if it is scaled up by a factor of 10?
• 805 square inches
Part 5) What is the volume of the box?
• 36.75 square inches
Part 6) What is the volume of the box if it is scaled down by a factor of 1/10?