Answer:
Results are below.
Step-by-step explanation:
First, we need to establish the decrease function in the given population:
FV= PV/(1+g)^n
FV= future value
PV= present value
g= decrease rate
n= number of periods
Now, for the given information:
PV= 330
g= 22% = 0.22
n= 5 years
FV= 330 / (1.22)^5
FV= 122
i don’t understand :(
Answer:
The quotient when [tex]x^3-4x^2-8x+8[/tex] is divided by [tex]x+2[/tex] is [tex]x^2-6x+4[/tex] with no remainder, so x+2 is a factor of p(x).
Step-by-step explanation:
As the question suggests, there are two ways to solve this problem: long division (which can always be used to divide polynomials), and synthetic division (which can only be used when you are dividing by something of the form [tex](x-a)[/tex]. In this case, we may use synthetic division, since [tex]x+2[/tex] is equal to [tex]x-(-2)[/tex]. I will use synthetic division here as it is slightly faster than long division.
The -2 on the left represents that we are dividing by x-(-2), and the rest of the numbers in the top row are the coefficients of p(x): 1, -4, -8, and 8.
The first step in synthetic division is to being down the leading coefficient of the polynomial: in this case, the 1 (as indicated in red). Now, we multiply the 1 by -2. We get -2, which we place directly below the -4.
Next, we add directly down the column, (-4 + (-2) is equal to -6), and this answer is placed in the box below. We can continue this process, getting the coefficients 1, -6, 4, and 0 in the bottom row.
This is the answer: the quotient is [tex]x^2-6x+4[/tex], and the remainder is zero (which indicates that x+2 is a factor of p(x)).
--
Edit: long division
We may also solve this problem using long division (see the second image). The first step is to look at the leading coefficients: since [tex]x \times x^2[/tex] is equal to [tex]x^3[/tex], the first term in the quotient will be [tex]x^2[/tex]. Since [tex]x^2 \times (x+2)[/tex] is equal to [tex]x^3+2x^2[/tex], we must now subtract that from [tex]x^3-4x^2-8x+8[/tex].
We repeat the same process, as shown in the image. Since we eventually get to zero, the remainder is zero, and the polynomial at the top (x^2-6x+4) is the quotient.
I know this might be difficult to follow, so please comment if you have any questions.
solving systems equations: substitution
y=6x+5
y=4x+5
Answer:
y=6x+5 →equation 1
y=4x+5 → equation 2
you can either substitute equation 1 in 2 or equation 2 in 1
substituting equation 1 in 2,
y = 4x + 5
6x + 5 = 4x + 5
6x - 4x = 5 - 5
2x = 0
x = 0/2
x = 0
substituting x = 0 in equation 1, (to get y)
y = 6x + 5
y = 6(0) + 5
y = 0 + 5
y = 5
hope it helps you!!
Three pounds of bananas weigh $1.89. How much is it for 5 lbs of bananas
Answer:
The correct answer is $3.15
Step-by-step explanation:
To find the answer you do $1.89 divided by 3 to find the unit rate,which is 63 cents. Then you do 5 times 63 cents to equal $3.15.
HAVE A GOOD DAY!
ANSWER WHAT YOU CAN NEED THEM ASAP PLZ
Answer:
1. KJL=55 JLK=55 JKL=70
2. x=12 (you can just plug X in and get the angle measures they will all equal 180 alltogether)
3. x=2
4. x=7
5. 23 degrees
6. i dont remember how to do i sorry
7. 20
8. 45 degrees
9. i dont know
10. 120 degrees
11. cant see the picture
Consider vectors u and v, where u = (1, -1) and v = (1, 1). What is the measure of the angle between the vectors?
Answer:
I believe the answer is C. 90 degrees
Step-by-step explanation:
First you find the lengths of the two vectors, which are both [tex]\sqrt{2}[/tex]. Then you find the angle given the cos using: cos(∅)=[tex]\frac{u*v}{|u|*|v|}[/tex] = [tex]\frac{0}{\sqrt{2}*\sqrt{2} }[/tex] = 0. Then using ∅=acos(0)=[tex]\frac{\pi }{2}[/tex] = 90°
Answer:
c
Step-by-step explanation:
edge
A group of 5 friends ate lunch at a restaurant. The bill came to $42 and the friends agreed to split it equally. Which expression represents the number of dollars each person paid?
A.
42−5
B.
425
C.
5×42
D.
542
Answer:
c would be the right and its the best answer
What's the answer??
Answer:
The answer is -4/21
Step-by-step explanation:
HELP ASAP ILL GIVE BRAINIEST
Answer:
(1,-3)
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
the solution is where the two lines intersect. the point of intersection is (1,3). the x corrdinate in (1,3) is 1:)
Given that function f : x= mx + n, where m and n are constants and m> 0.
If f² : x = 64x - 36, find the values of m and n.
Answer:
yo no hablo english sorry
Step-by-step explanation:
Consider the equations: y = 2x − 3 and y = −x + 6.
Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations.
A) (0, −3)
B) (1, −1)
C) (2, 1)
D) (3, 3)
Answer:
D
Step-by-step explanation:
I got that but hopefully, I'm correct. But I'm 100% sure its d
58 x 64 is the same as:
(64 x 50) + (64 x )
What number goes in the space?
help please
On a trip, Miguel drives at an average speed of 55 miles per hour. After 2 hours, the odometer on his car reads 4583. Write an equation to represent the reading on the odometer m after h hours.
Answer:
[tex]m=4473-55h[/tex]
Step-by-step explanation:
Step one
Given data
speed= 55 miles per hour
time taken = 2 hours
Hence the distance covered is
from v=d/t
distance= velocity * time
distance= 55*2
distance= 110 miles
this means that the initial reading of the odometer is
=4583-110
=4473 miles
after h hours the distance covered will be
distance = 55*h
distance= 55h
the reading of the odometer m is
m= initial reading-distance
Hence the reading of the odometer m is expressed as
[tex]m=4473-55h[/tex]
Answer:
Correct
m=55h+4473
Step-by-step explanation:
i got it right :-)
does the point (1,4) satisfy the equation y=x
Pls!!
If a cone has a volume of 47.1 cubic yards and a height of 5 yards, what is the radius of the cone? (Use 3.14 for x .)
1.5 yards
1.73 yards
3 yards
4.5 yards
THIS IS STATEMENT AND REASON PLSS HELP!
Answer:
Line FH is the same as FK
Step-by-step explanation:
The triangle on the left is the same on the right, but inverted. This is proved because lines eh equals gk and angle e and g are the same.
Answer:
line fh is the same as fk
Please give the explanation for all three parts. Will provide brainly. No fakes or will get reported. Thanks
Why is ADEC a trapezoid?
A trapezoid is a quadrilateral with one pair of parallel sides. Since D and E are midpoints, it would be parallel to AC. AD and EC are not parallel since they cross each other at point B.
(I couldn't read the last part of the second question :( )
Find the value of X 6-4x= -8x -8
Answer:
Fraction:
[tex]x=-\frac{7}{2}[/tex]
Decimal:
[tex]x=-3.5[/tex]
Step-by-step explanation:
Step-by-step on how to solve it is in the picture below.
Hope this helps! :)
Answer:
x= 7/6
Step-by-step explanation:
collect the like terms. so in this problem -4x and -8x are like terms.
you'll then have -12x = -8 - 6
calculate the difference of -8 and 6
you'll then have -12x = -14
you then divide the both sides by -12
getting the solution: x= 7/6
Can you help me solve this
please help i’ll give brainliest please tysm :))
Answer:
130
Step-by-step explanation:
2/2 = 1
26/2 = 13
10 x 13 = 130
hope this helps plz mark me brainliest =)))))))
Answer: 130
Step-by-step explanation:
Ten is the half of 20
So it must be the same thing on the other side. So it is 130
Pls mark me brainliest
2. Write the algebraic phrases that correspond to the following word phrases: (a) The sum of four times the opposite of a number and - 5 (b) The product of 5 and the sum of 3 times a number and 4
Answer:
would not be helpful to anser nowww... sory!
Step-by-step explanation:
Anna and Elsa are helping set up for the Christmas celebration at Magic Kingdom. They have to install 7 million lights for the annual display. It takes Elsa 14 days to set up the 7 million lights by herself and it takes Anna 11 days to set up the 7 million lights by herself. How long will it take them to do it together?
Answer:
If they work together, they will take 6.16 days.
Step-by-step explanation:
Elsa takes 14 days to complete the work.
So, 1 day work by Elsa is [tex]\frac{1}{14}[/tex]
Anna takes 11 days to complete the work.
So, 1 day work by Anna is [tex]\frac{1}{11}[/tex].
So, Let if they work together, it would take x number of days.
So, we can set up equation as
[tex]\frac{1}{14} +\frac{1}{11}=\frac{1}{x}[/tex]
Find LCD, which is 154.
[tex]\frac{11}{154} +\frac{14}{154} =\frac{1}{x}[/tex]
Simplify
[tex]\frac{25}{154} =\frac{1}{x}[/tex]
Cross multiply,
25x=154
Divide both sides by 25
x=6.16 days
If they work together, they will take 6.16 days.
Ahh i knew every single problem except this one ;)
Answer:
????
Step-by-step explanation:
Solve the equation. Show work on scratch paper. 20=10+2(x−4)
Answer:
x = 9
Step-by-step explanation:
20 = 10 +2(x - 4)
10 + 2(x -4) = 20 {Use distributive property}
10 + 2x - 2*4 = 20
10 + 2x - 8 = 20 {add like terms}
2x + 2 = 20
2x = 20 - 2
2x = 18
x = 18/2
x = 9
ASAP
Solve the following equation by graphing each line below.
a) 2x+3=-x+9
b) Where do the two lines intersect? Write your answere in the form (x,y)
Answer:
x=2
Step-by-step explanation:
2x+x+3=9
2x+x=9-3
3x=9-3
3x=6
x=2
Answer:
a) 2x + 3 = -x + 9
or, 3x = 6
# x = 2 since there is no y in the equation the value of y could be 0.
b) it intersects at ( 2, 0 )
Step-by-step explanation:
The coordinate points below show part of the data collected by the cell phone company, where x is age in years and y is texting speed in words per minute. (12, 16), (13, 18), (13, 10), (14, 16), (15, 9), (15, 8), (16, 17), (17, 23) If this data was plotted on a scatterplot, would there be a relationship between the variables? If yes, explain the relationship.
Answer:
No, there is no clear relationship between age and texting speed.
Step-by-step explanation:
i already did it
Answer:
D
Step-by-step explanation:
i took the test, and the answer is right
Solve for x
2(X-5) +6=7(X-1)-2 (x -6)
Answer:
x = - 3
Step-by-step explanation:
2x - 10 + 6 = 7x - 7 - 2x + 12
2x - 4 = 5x + 5
- 5 - 4 = 5x - 2x
-9 = 3x
x = - 9/3
x = - 3
Mr. Weinstein gave his 4 children a total of $31.00 before they entered a video game arcade. If the children divided the money equally, how much money did each child get?
Answer:$7.75
Step-by-step explanation:
I need help with this 70―10=―10+40
Answer:
I got 90
Please correct me If I am wrong Please and Thank You
Step-by-step explanation:
Combine like terms 70 and 10 which will be 60
and Combine like terms and you get 30
Then you add 60+30= 90
Answer: 60=30
Step-by-step explanation:
70-10= -40=10
60 = 30
You have 2,112 grams of a radioactive kind of mercury. How much will be left after 188 days if it's half-life is 47 days?
Answer:
132 gStep-by-step explanation:
Initial amount = 2112 gTime = 188 daysHalf-life = 47 days188 days / 47 days = 4 periods
Mercury left after 188 days:
2112 * (1/2)^4 = 2112* 1/16 =2112/16 =132 gMrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
Answer:
2 cups of peanut butter
Step-by-step explanation:
Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
From the above question:
1/2 cup of oil = 1 cup of peanut butter
1 cup of oil = x
Cross Multiply
1/2x = 1 × 1
x = 1 ÷ 1/2
x = 1 × 2/1
x = 2 cups of peanut butter.
Therefore, for huge batch with 1 cup of oil, she should use 2 cups of peanut butter.