Answer:
5n+2m+3600nm^2
Step-by-step explanation:
?????????????????????
Step-by-step explanation:
Distributive property
A=6,500(1.0175)^4t
How long would the person need to leave their money in the bank until it reaches $20,100? Round the nearest whole number!
The time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years
Given the exponential equation expressed as:
[tex]A=6500(1.0175)^{4t}\\[/tex]
Given that A = 20100, Substituting into the expression will give;'
20100 = 6500(1.0175)^4t
20100/6500 = (1.0175)^4t
3.0923 = (1.0175)^4t
Taking the ln of both sides
ln3.0923 = 4tln(1.1075)
4t = ln3.0923 /ln(1.1075)
4t = 1.12891/0.1021
4t = 11.05690
t = 11.05690/4
t = 2.76
t ≈ 3 years
Hence the time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years
Learn more on compound interest here: https://brainly.com/question/24274034
what are all the roots of the function f(x)= x^3+3x^2-x-3
Answer:
\mathrm{Domain\:of\:}\:x^3+3x^2-x-3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}
Step-by-step explanation:
A bakery sells glazed donuts for $1.09 each. Cinnamon bagels and onion bagels are $1.59 each. Max buys x donuts, y cinnamon bagels, and z onion bagels. Which expression represents the total amount Max spent at the bakery?
A.
1.09x + 1.59yz
B.
1.09x + 1.59y + 1.59z
C.
1.09x + 3.18(y + z)
D.
(1.09 + 1.59)(x + y + z)
Answer:
B
Step-by-step explanation:
For each glazed donut, Max spends $1.09. Therefore, if he buys x donuts, he pays $1.09 x times, or $1.09 * x. Similarly, for cinnamon bagels, he pays $1.59 * y, and for onion bagels, he pays $1.59 * z. Adding these up, we get
1.09x + 1.59y + 1.59z
2. You have 7 folders and you want to put the same number of pages in each folder.
a. If you have a total of p pages, how many pages will be in each folder?
b. Evaluate your expression to calculate the number of pages in each folder if you have 147 pages or
245 pages.
Answer:
a. p/7
b. 21; 35
Step-by-step explanation:
To find the number of pages in each folder, divide the number of pages by the number of folders.
a. There will be p/7 pages in each folder.
b. 147 pages will result in 147/7 = 21 pages in each folder
245 pages will result in 245/7 = 35 pages in each folder
(repost) Please help! It involves inequalities! Also please include a number line.
Answer:
-5 ≤ x
Step-by-step explanation:
2(x -3) -5x ≤ 9 . . . . . given
2x -6 -5x ≤ 9 . . . . . . eliminate parentheses
-3x -6 ≤ 9 . . . . . . . . combine like terms
-6 ≤ 9 +3x . . . . . . . add 3x
-15 ≤ 3x . . . . . . . . subtract 9
-5 ≤ x . . . . . . . . . divide by 3
__
The point x=-5 is included in the solution set, so there is a sold dot at that point. The rest of the solution set is values of x that are greater than that value, so the number line is shaded to the right of that point. Your number line should show an arrow at the right end of the graph to indicate it extends that direction indefinitely. (My graphing program doesn't draw arrows easily.)
_____
Additional comment
Perhaps the most straightforward way to solve this would have been to add 6 instead of 3x. That would give ...
-3x ≤ 15
Then dividing by -3 would give x. That operation would reverse the inequality symbol (because the divisor is negative). Then you would have ...
x ≥ -5
Either way works. We judge it to be less confusing when we don't have to change the direction of the inequality symbol.
whats the equation? for the problem
Answer: YOU DONT GIVE THE PROBLEM
Step-by-step explanation:
A glass top of an office table has sides of 21 inches. What is its area?
Answer:
441 [tex]inches^{2}[/tex]
Step-by-step explanation:
If this is a rectangle, meaning the width and the legnth is different, there is no way in solving this.
However, if it is a square, meaning all the sides are the same,
we can know that every side is 21 inches long.
An area is the width times the length, which is both 21 in this case.
21 times 21 = 441.
441 inches squared.
Round 2593.6781 to nearest thousandths.
Answer:
The answer is 2593.678
Step-by-step explanation:
Question 1 of 51 Which of the following is not a Pythagorean triple O A. (5, 12, 13) O B. (7,8,9) O C. (3,4,5) D. (9,12,15)
Answer:
B
--------
Because:-
5, 12, 13 is a Pythagorean triple
3, 4, 5 is a Pythagorean triple
9, 12, 15 is a Pythagorean triple
7, 8, 9 is not a Pythagorean triple
use this rule:-
[tex]a^{2} +b^{2}=c^{2}[/tex]
A plumber charges a $25 flat rate. If he works for 6 hours, how much does he charge per hour if the total is $67?
Answer:7
Step-by-step explanation:(67-25) divided by 6
mark as brainliest
Subtract the flat rate from the total first:
67-25 = 42
Now divide that by total hours:
42/6 = 7
Answer: $7 per hour
Can someone help me out?
Answer:
d
Step-by-step explanation:
the smallest number that is divisible by each one of 9,12 and 15 is
(a) 60. (b) 90. (c) 120 (d) 180
HELP PLEASE WILL GIVE BRAINLIEST
Answer:
In attachment
Step-by-step explanation:
See the attachment. They are much easier to solve if you set up a spreadsheet template and then copy that template for each problem. The inputs would be the two given points for each graph. Problem 3's slope is undefined, since it is a vertical line and the run is 0, no change in x. Since slope is "Rise/Run," this is dividing by zero, a No-No for mathematicians, as well as us chemists and other mortals.
this is an area in which objects will interact with a magnet
Combine the like terms to create an equivalent expression.
\large{9y+y}9y+y
Answer:
20y
Step-by-step explanation:
Find the area of ΔABC.
A)21.93
B) 37.20
C) 29.77
D) 18.6
Answer:
Option D is correct
Step-by-step explanation:
First, let's find side BC by using Pythagoras theorem.
Given:
Hypotenuse = 9 unitsSide 1: 7.8 unitsSide 2: BC=> 9² = 7.8² + x²
=> 81 = 60.84 + BC²
=> BC² = 20.16
=> √BC² = √20.16
=> BC = √20.16
=> BC = 4.48998886413 (Using calculator)
=> BC ≈ 4.49 (Estimated)
Therefore, side BC ≈ 4.49 units. Now, let's find the area by using hero's formula.
=> 1/2(Perimeter) = S
=> Perimeter: Hypotenuse + Side 1 + Side 2
=> 7.8 + 9 + 4.49
=> 21.29 = Perimeter
=> 1/2(21.29) = S
=> 10.645 = S
=> √s(s - a)(s - b)(s - c) = Area of triangle
=> √10.645(10.645 - 9)(10.645 - 4.49)(10.645 - 7.8)
=> √10.645(1.645)(6.155)(2.845)
=> √10.645 x 1.645 x 6.155 x 2.845
=> √306.635120999 (Using calculator)
=> √306.64 (Estimated)
=> 17.5111393119 (Using Calculator)
=> 17.51 units² (Estimated)
We can see that option D is the closest option. Therefore, Option D is correct.
If Option D was incorrect, then my second opinion is A.
If both are wrong, I deeply apologize for the inconvenience caused by me. Hoped this helped.
Answer:
answer is d) 18.6
Step-by-step explanation:
area = 1/2ab sin ∅
a= 9
b = 7.8
so it's
1/2 ×7.8 × 9 sin 32
use your calculator to get 18.600 unit squared
*we can also use the heroes formula*...
smiplify 3^2 x 3^4 x 3^6
PLEASE ANSWER QUICKLY
[tex] {3}^{2} \times {3}^{4} \times {3}^{6} [/tex]
[tex] = {3}^{2 + 4 + 6} [/tex]
[tex] = {3}^{2 + 10} [/tex]
[tex] = {3}^{12} [/tex]
given the function f(x)=-2x^4-16x^3-36x^2, determine all intervals on which f is both decreasing and concave down
Answer:
(0, ∞)
Step-by-step explanation:
The only maximum, local or otherwise, is at x=0. Since the leading coefficient is negative, the function is decreasing and concave down for x-values greater than 0.
0 < x < ∞ . . . . . decreasing and concave down
__
Since the leading coefficient of this even-degree function is negative, it will have a generally ∩ shape. It will be decreasing to the right of any local maximum.
The first derivative is negative only for x > 0, so that is the only region where the function is decreasing. Since that x=0 is a local maximum, the function must be concave downward in that neighborhood.
__
The attached graph shows the function and its first and second derivatives. The function is concave down where the second derivative is negative, to the right of the right-most point of inflection.
_____
Additional comment
A graphing calculator provides a quick answer to a question like this. You can find the same answer algebraically.
The first derivative is ...
f'(x) = -8x^3 -48x^2 -72x = -8x(x^2 +6x +9) = -8x(x+3)^2
This has a zero at x=-3 where the graph of it touches the x-axis, but does not change sign. That means f(x) has a flat spot at x=-3, but is not decreasing except to the right of x=0.
The second derivative is ...
f''(x) = -24x^2 -96x -72 = -24(x^2 +4x +3) = -24(x +1)(x +3)
The second derivative will be negative for x < -3 and x > -1, to the left and right of the points of inflection. This means f(x) is concave upward only for -3 < x < -1, and concave downward everywhere else.
The function is concave downward and decreasing for x > 0.
Juno is taking a taxi. The table represents a linear function and shows the amount she owed after various numbers of miles traveled. Is the rate of change 2. 25? Amount Juno Owed for a Taxi Miles Amount Owed (dollars) 1 2. 5 2 2004. 75 3 7 4 9. 25 5 11. 5 Yes, because the amount owed changes by 1 every time the miles change by 2. 25. Yes, because the amount owed changes by 2. 25 every time the miles change by 1. No, because the amount owed does not change by 1 every time the miles change by 2. 25. No, because the amount owed does not change by 2. 25 every time the miles change by 1.
Linear functions are represented by constant rates.
The true statement is (d) No, because the amount owed does not change by 2.25 every time the miles change by 1.
From the table, we can see that:
As the number of miles increase by 1, the amount owed increases, but it does not increase at a constant rate of 2.25.
This means that, the table does not represent a linear function.
Represent the linear functions at:
https://brainly.com/question/15602982
the area of a square whose length is 4.5 m
area of a square = length × length
a=4.5×4.5
1/ 99 to 4 significant figures
Answer:
0.01010
Step-by-step explanation:
The decimal equivalent is ...
[tex]\dfrac{1}{99}=0.\overline{01}[/tex]
Rounded to 4 significant figures, it is ...
0.01010
Drake is playing basketball. He knows that he can score one, two, or three-point shots in a game, and he has already scored 5 points this game. He wants to score at least 20 points before the game ends.
Answer: He needs to splash the threes
Step-by-step explanation: He dosent have the vertical so he just needs to have a splashy 3 pointer
Aaron noticed that he caught 8 pidgeys for every Squirtle when he played Pokémon Go. If Aaron caught 104 Pidgeys how many Squirtles did he catch?
Answer:
He caught 13 squirtles
Step-by-step explanation:
104/8 = 13 squirtles
Squirtles divided by pidgeys
the area of a triangle with vertices at (-3,-2),(3,-2),(1,2) is
please provide small explanation
Answer:
12
Step-by-step explanation:
First, you have to graph (which I sadly cannot provide an image of)
Then look at the vertical height which is 4, the how long it is which is 6.
So A=1/2*6*4=12
Given the graph below, find the slope.
A. -3/2
B.3/2
C -2/3
D. 2/3
a water tank can hold up 80 gallons of water. if it is 40% full now. how many gallons of water does the tank contain?
Answer:
32 gallons of water
Step-by-step explanation:
If the total tank can hold up to 80 gallons of water, it is considered full when it contains 80 gallons. When the tank is 40% full, it has 40% of 80 gallons in the tank. 40% of 80 is 40/100*80=8*4=32 gallons of water.
(-3x+4)+(x-9) help please.
Answer:
- 1 · (2×±5)Step-by-step explanation:
Answer:
−2−5
Step-by-step explanation:
(-3x+4)+(x-9)
−3x+4+x−9
Subtract
−3x+4+x−9
-3−5+
Combine terms
−3x−5+x
−2−5
Three men can build a wall in 8 days. How long will it take them if they have the help of 2 boys? Assume that each boy works half as fast as each man.
(with explanation pls)
Answer:
6 days
Step-by-step explanation:
2 boys that each work half as fast as the men is equivalent to having one extra man. So instead of 3 men we have 4. 4/3 the manpower means 3/4 the time. 3/4 of 8 is 6.
Answer:
6 days.
Step-by-step explanation:
The 3 men can build 1/8 of a wall in 1 day.
So 1 man can build 1/24 wall in 1 day.
So 1 boy can build 1/48 in 1 day and 2 boys can build 1/24 wall in 1 day.
So we have the equivalent of 4 men working and they can build 4 * 1/24
= 1/6 of a wall per day
So the answer is 6 days.
what is the answer for 4x<-28
Answer:
x < -7
Step-by-step explanation:
Divide both sides of the equation by the coefficient of x.
(4x)/4 < (-28)/4
x < -7
Answer:
x<-7
Step-by-step explanation:
