Answer:
2x+24+4x+36=180
6x+60=180
6x=180-60
6x=120
x=120/6
x=20
So <KPL=64 AND <JPL=116
Answer:
KPL = 64 JPL = 116
Step-by-step explanation:
This is a straight angle, meaning this angle will equal 180 degrees.
They give you two parts of this angle, which is (2x+24) and (4x+36)
All you have to do is add them and set this equal to 180.
So when you add 2x+24+4x+36=180 that equals 6x+60=180
Do the algebra, subtract 60 on both sides.
180-60=120
Now divide 6 on both sides.
120/6 = 20
Great, so now solved x. To find the angles, we must plug them in.
2(20)+24= 64
4(20)+36= 116
So your answer should be
KPL = 64 and JPL = 116.
This is correct because when you add these results together, you get 180.
Cape Corp. Will pay a dividend of $4.40 next year. The company has stated that it will maintain a constant growth rate of 5 percent a year forever. a. If you want a return of 17 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.) b. If you want a return of 10 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.)
Answer:
Step-by-step explanation:
a. If you want a return of 17 percent, how much will you pay for the stock?
The price of the stock can be calculated as:
= dividend next year/(required return - growth rate)
= 4.4/(17% - 5%)
= 4.4/12%
= 4.4/0.12
= 36.67
b. If you want a return of 10 percent, how much will you pay for the stock?
At 10%
= 4.4/(10% - 5%)
= 4.4/5%
= 4.4/0.05
= 88
help please fast
thanks
Answer:
please send clear pic or canr help but make me brillantist
State the slope and the y-intercept for the graph of the equation, y = -3x - 2 * 1 point A) Slope = -2; y-intercept = -3 B) Slope = 2; y-intercept = 3 C) Slope = -3; y-intercept = -2 D) Slope = 3; y-intercept = 2
help !! will mark brainliest
Answer:
The answer is b your welcome
Luke solves this problem. He says that the difference is 416. 864 − 458 ________ Complete the explanation of the mistake Luke made. Luke regrouped 6 tens 4 ones as ? ten(s) 14 ones. He should have regrouped 6 tens 4 ones as ? ten(s) 14 ones. What is the correct difference? The correct difference is ___ .
Answer:
Luke regrouped 6 tens 4 ones as 6 tens 14 ones
He should have regrouped 6 tens 4 ones as 5 tens 14 ones
The correct difference is 406.
Step-by-step explanation:
First, we will complete the explanation,
For the difference,864 − 458, Luke got 416;
The explanation of the mistake Luke made is
Luke regrouped 6 tens 4 ones as 6 tens 14 ones
Such that, the difference of the ones (14 - 8) gives him 6 ones,
difference of the tens (6 - 5) gives him 1 ten
and difference of the hundreds ( 8 - 4) gives him 4 hundreds
Hence, his answer 416.
He should have regrouped 6 tens 4 ones as 5 tens 14 ones
So that, the difference of the ones (14 - 8) will give him 6 ones,
difference of the tens (5 - 5) will give him 0 ten
and difference of the hundreds (8 - 4) will give him 4 hundreds
Hence, he would have gotten 406.
The correct difference is 406.
The deductions from Jennifer monthly pay are federal income tax (FIT) of $87, state income tax (SIT) of 2.5% of gross pay, city income tax (CIT) of 1.2% of gross, social security, and Medicare. Her monthly net pay is $3,982.22. Find Jennifer's monthly gross pay
Answer:
$4,225.6
Step-by-step explanation:
Jenifer had the following deductions from her monthly pay
Federal income tax of $87
State income tax of 2.5% of gross pay
City income tax of 1.2% of gross pay
Jennifer monthly pay is $3,982.22
Therefore jenifer monthly gross pay can be calculated as follows
Let x represent the gross pay
x = 3982.22 + 87 + 1.2/100x + 2.5/100x
x = 3982.22 + 87 + 0.012x + 0.025x
x =4069.22 + 0.037x
Collect the like terms
x - 0.037x = 4069.22
0.963x = 4069.22
Divide both sides by the coefficient of x
x = 4069.22/0.963
x = 4,225.6
Hence Jennifer monthly gross pay is $4,225.6
The U.S. Capital building includes a statue on top representing freedom. If a person stood outside the building with a direct line-of-sight of 983 feet to the top of that statue and an angle of elevation of 17o , what would be the distance from the ground below the statue to the top of the statue?
Answer:
ok u need to list the numbers in the journal
Step-by-step explanation:
PLEASE HELP!! What is the equation for the following graph?
Answer:
x=4
Step-by-step explanation:
Answer:
x = 4 :)
Step-by-step explanation:
The lines represented by the equations 12y + 8x = 60 and y =-2/3x+5 are what type of line
Answer:
Straight negatively sloped lines
Step-by-step explanation:
Michael worked 42 hours last week. His regular pay is $10.00 per hour. He is paid 1 1/2 times his regular pay for overtime hours (in excess of 40 hours). What was his gross pay?
Answer:
$430
Step-by-step explanation:
Total hours worked by Michael = 42 hours
hours worked by Michael in excess of 40 hour = 42 - 40 = 2 hour
thus,
Michael worked 2 hours overtime.
money paid for working 1 hour in regular pay = $10.00
money paid for working 40 hour in regular pay = $10.00*40 = $400
lets calculate money paid to him for over time
given
Michael is paid 1 1/2 times his regular pay for overtime hours
Money paid for overtime for 1 hour = 1 1/2 *money paid for working 1 hour in regular pay
Money paid for overtime for 1 hour = 3/2 *$10 = $15
Money paid for 2 hours work overtime = $15*2 = $30
Thus,
gross pay for 42 hours work for Michael = $400 + $30 = $430
Suppose there is a 1.7f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 49.9f what will be the temperature when the plane reaches am altitude of 4,000ft?? The temperature will be_____F (type an integer or a decimal)
Answer:
[tex]43.1 ^{\circ}F[/tex]
Step-by-step explanation:
Give that for every 1000 feet increase in the height there is a drop of [tex]1.7 ^{\circ}F[/tex] in temperature.
So, the rate of temperature drop with respect to height, R = 1.7/1000 [tex]^{\circ}F/\text{ft}[/tex].
If the change in height is [tex]\Deltah[/tex][tex]\Delta h[/tex] feet, the temperature drop,
[tex]\Delta T= \Delta h R \;^{\circ}F\cdots(i)[/tex]
The temperature on the ground is 49.9 [tex]^{\circ}F[/tex].
At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is
\Delta h =4000-0=4000 feet
Now, from equation (i), the temperature drop
[tex]\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.[/tex]
Hence, the temperature at an altitude of 4000 feet [tex]= 49.9-6.8=43.1 \;^{\circ}F[/tex].
Find the measure of the missing value in the
pair of similar polygons. (Shapes not drawn to
scale.)
17.5 ft
25 ft
25 ft
w
18 ft
Answer:
12.6
Step-by-step explanation:
The two left sides have lengths, so this allows you to establish the ratio of the lengths of the sides of the triangles,
left triangle : right triangle
ratio = 25 : 17.5
The bottom sides are also in the same ratio.
ratio = 18 : w
Write a proportion by setting the ratios equal and solve for w.
25/17.5 = 18/w
Cross multiply.
25w = 17.5 * 18
25w = 315
w = 12.6
Answer: 12.6
Find the range of the function f(x) = 9x − 17 for the domain {1, 3, 5}.
Answer:
range is -8,10,28
Step-by-step explanation:
9(1)-17=-8
9(3)-17=10
9(5)-17=28
Hope this helps
Gcf of 16abc^2, 28abc
Answer:
4abc..............................
Which demonstrates the commutative property? *
O a+b=b+a
O (a + b) + c = a + (b + c)
O a(b + c) = ab + ac
O a+0= a
Answer:
Option A is the right one
Hope this helps you Do mark as brainliestCommutative property; No matter how you arrange the sums you'll get the same answer.
Question Progress
Homework Progr
16
0
Work out
5-2x 38
Give your answer as a decimal.
Sylvie and Bono hiked to the 6,288-ft summit of Mount Washington, then hiked to Carter Notch Hut for the night. Carter Notch Hut is located at an elevation of 3,288 ft. A number line going from negative 4000 to positive 4000 in increments of 1000. Which point represents the change of elevation in feet on the hike from the summit to Carter Notch Hut? –4000 –3000 3000 4000
Answer:
- 3000 feets
Step-by-step explanation:
Given that:
Elevation at the summit of Mount Washington = 6288 ft
Elevation of Carter Notch Hut = 3,288 feets
The change of elevation in feets on the hike from summit to Carter Not hut:
Difference in elevation:
Summit at Mount Washington - Carter notch hut
6288 ft - 3288 ft
Change in elevation. = 3000 fts
Since the change decreased from 6288 to 3288, the elevation is downward and hence, negative = - 3000 feets
Answer:
b
Step-by-step explanation:
write 4.9 × 10^5 in standard form
Answer:
30.7
Step-by-step explanation:
Dale's Auto shop wash earns revenues of $8 per customer. After serving 4 customers, how much revenue will Dale's Auto Wash have?
Identify each part of the algebraic expression as the coefficient, constant, or variable.
1. 4x - 12
4 is a(n) ___________________
x is a(n) ___________________
12 is a(n) __________________
2. a + 3b
a is a(n) ___________________
3 is a(n) ___________________
b is a(n) __________________
3. 6y
6 is a(n) ___________________
y is a(n) ___________________
TRANSLATIONS
DIRECTIONS: Highlight and Translate, Then type the final translation.
1. Three less than “x” is equal to 13. ________________________
2. The product of 9 and “m” is 45. ________________________
3. A number divided by 6 is 18. ________________________
4. A number plus 17 is 25. ________________________
5. Seven times a number is 28. ________________________
6. A number divided by 7 is 9. ________________________
7. A number minus 12 is 20. ________________________
8. The quotient of “y” and 3 is 25. ________________________
9. One-fifth of “r” is 15. ________________________
10. Six less than 2 times “y” is 34. ________________________
11. Five more than “n” is equal to 9. ________________________
12. A number increased by 3 is 19. ________________________
13. The difference of “p” and 7 is 30. ________________________
14. Fifteen multiplied by “k” is 75. ___________________________
15. The sum of 3y and 5 is 47. ________________________
Answer:
1. coefficient,variable, constant
2. variable,coefficient,variable
3. coefficient, variable
Translations:
1. x-3=13
2. 9m=45
3. x/6=18
4. x+17=25
5. 7x=28
6. x/7=9
7. x-12=20
8. y/3=25
9. r/5=15
10. 2y-6=34
11. 5+n=9
12. x+3=19
13. p-7=30
14. 15k=75
15. 3y+5=47
Can you please help meeeeeeeee
Solve for x.
x2+6x+6=0
Enter your answers in the boxes.
x = or x =
Answer:
so x= -3+ root three
and x = -3- root three
You have to use the quadratic formula to solve
In an apartment building, there is only one elevator that residents are allowed to use. The elevator picks up six people in the main lobby and ascends 4 floors. Next, the elevator ascends another 2 floors and descends 3 floors. The elevator ascends 8 more floors, then descends 2 floors. The elevator finally descends another 2 floors before getting stuck. What floor is the elevator stuck on?
Answer:
It is stucked on the 9th floor
Step-by-step explanation:
We want to know the floor on which the elevator is stucked.
The main lobby is the ground floor and has a value of 0 floor
Ascends four floors with 6 people from the lobby
It is now on floor 4
Ascends another two so it is now on floor 4 + 2 = 6
Ascends another 2, then descend descends 3
That will be 6 + 2 -3 = 5th floor
Ascends 8 more , then descend 2
That will be 5 + 8 -2 = 11
Descends another 2, making 11 - 2 = 9
It is stucked on floor 9
Kindly note, when it ascends, that is a positive value, when it descends, that is a negative
A. 43 x + 98 = 11
B. 43x + 11 = 98
C. 11x+ 98 = 43
D. 11x+ 43 = 98
if A= (2 3 8) B =(2 7 5) find a×b
Answer:
{(2,2) , (2,7) , (2,5) , (3,2) , (3,7) , (3,5) , (8,2) , (8,7) , (8,5)}
Step-by-step explanation:
Given :
Set A = (2 3 8)
Set B = (2 7 5)
Unknown:
Product of two sets a x b;
Solution:
Set A = (2 3 8)
Set B = (2 7 5)
The cartesian product of two sets is expressed as the order pairs of elements from A to B;
A = (2 3 8)
B = (2 7 5)
A x B = {(2,2) , (2,7) , (2,5) , (3,2) , (3,7) , (3,5) , (8,2) , (8,7) , (8,5)}
In the function f(x) = 3x + 2, f(5)
A. 15
B. 16
C. 17
D. 19
Answer:
C. 17
Step-by-step explanation:
3 times 5 is 15 , then you add 15 plus two which equals 17.
Answer:
C. 17
Step-by-step explanation:
In the equation f(5)=3x+2, you substitute 5 for x.
Which makes the equation f(5)=3(5)+2
Simplified f(5)=17 after you multiply 3(5) and add 2.
Hope this helps!
Helpppppppppp Meeeeeeeeeee Plssssssssss Problemmm 3
PLEASE HELP!
IMAGE DOWN BELOW!
Answer:
1. 11t
2.7w+28
3. 2c+11
4. 8n
5. 10r+15
6. 24−8g
7. 17d−9
8. 8g+7z
9. 23b
10. 2rs+1
11. 9f+9g
12. 4x+y
13. 21a+14
14. 21a+14
15. 6−3k
16. 18n+36
17. 9s+3t
18. 8a−12b
19. 11m+n
20. 2+6z
21. 8x+6y
22. 7hg−7
23. 4st+5
24. 2r+17
25. 7w+6
26. 3(c+2)
27. 8f−4g
28. 2+8q+3r
Step-by-step explanation:
there you go, sorry it took so long
Enter the slope-intercept equation of the line that has -2 and y-intercept (0,7)
Which graph shows the set of all solutions for the equation 7x + 2y = -14? (1 point)
Answer:
y=[tex]\frac{-7}{2}[/tex]x-7
Step-by-step explanation:
you didnt put a graph so this is the linear equation
Jenna's brother borrowed $200 from her to buy a tablet. She will charge him 3% simple interest. Her brother says he will pay her back in 6 months. What is the total amount he will pay back?
Answer:
personally I believe its 6..
Step-by-step explanation:
10% of 200 is 20. if 10% is 20 then each part would equal 2. 2×3 is equal to 6
Answer:
$203
Step-by-step explanation:
To find the cost he pays back you need to mulitply 200 x 3% x 6 months.
Because you can't multiply with different units, you convert them to the same unit. (Numeric form)
To convert, we divide 3% by 100 and get 0.03
6 MONTHs is equal to 1/2 of a year which is also 0.5.
Now that all of our numbers are using the same units, we can multiply.
200(0.03)(0.5)
200 x 0.03 is 6
6 x 0.5 is 3.
We need to add the total amount her brother pays her back and the interest.
He pays her $200 for the Tablet and gives her $3 for the interest.
200+3=203.