Answer:
$242
Step-by-step explanation:
His Gross income a month is $2400.
Now, we are told that his net income, after taxes have been taken out, is 80% of his gross income.
Thus;
Net income a month = 80% × 2400 = $1920
Now, Each month he deposits 10% of his net income plus an additional $50 into a savings account.
This means amount saved each month is = (10% × 1920) + 50 = 192 + 50 = $242
A candidate won an election by beating his nearest rival by 724541 votes. If the candidate received 1563198 votes, how many votes did his rival get?
Answer:
838657
Step-by-step explanation:
1563198 - 724541 = 838657
Just use a calculator .
Strip malls appear to popping up everywhere. The relationship between the actual price of a strip mall and the listing price is modeled in the least-squares regression line Ĉ = 0.2 + 1.011. Both amounts are in hundred-thousands of dollars. Let L represent the listing price and C represent the sales price. Which of the following is the best interpretation of the slope of the regression line?
A)For each hundred-thousand-dollar increase in the listing price, the sales price will increase by $1.01.
B)For each hundred-thousand-dollar increase in the listing price, the sales price will increase by $101,000,
C)For each hundred-thousand-dollar increase in the listing price, the sales price will decrease by $101,000.
D)For each hundred-thousand-dollar increase in the listing price, the sales price is predicted to increase by $1.01.
E)For each hundred-thousand dollar increase in the listing price, the sales price is predicted to increase by $101,000.
Answer:
The correct option is;
E) For each hundred-thousand dollar increase in the listing price, the sales price is predicted to increase by $101,000
Step-by-step explanation:
Whereby the relationship between the actual price of a strip mall and the listing price is modeled according to the least squares regression line as follows;
C = 0.2 + 1.01·L
Where;
L = The listing price
C = The sales price
Where both amounts are in hundred-thousands of dollars;
Therefore, given that the slope is 1.01, we have that for an increase of $100,000 for the listing price, L, which is 1 unit increase the sale price increases as follows
C₁ = 0.2 + 1.01 × 1 = 1.21
While for an increase of an extra $100,000, to make the listing price. $200,000 or 2 units, we have;
C₂ = 0.2 + 1.01 × 2 = 2.22
The increase is C₂ - C₁ = 2.22 - 1.21 = 1.01
C₂ - C₁ = $100,000 × 1.01 = $101,000
The increase is C = $101,000
Whereby, the equation is a linear regression line which is a model for prediction, we have;
The predicted increase in the sale price is $101,000 for each $100,000 increase in the listing price.
You are flying your dragon kite. It is connected to 34 yards of string. The kite is directly above the edge of a pond. The edge of the pond is 29 yards from where the kite is tied to the ground. How high is the kite above the edge of the pond? Round your answer to the nearest tenth.
Answer:
18 yards
Step-by-step explanation:
To find the height of the kite we need to consider the problem as a right triangle and use the Pythagorean theorem to solve it:
[tex] c^{2} = a^{2} + b^{2} [/tex]
Where:
c: is the length of the hypotenuse
a and b: are the length of the sides of the triangle
We have that the length of one side is 29 yards and the length of the hypotenuse is 34 yards, so we need to find the other side (which represents the height) as follows:
[tex] a = \sqrt{c^{2} - b^{2}} = \sqrt{(34)^{2} - (29)^{2}} = 18 [/tex]
Therefore, the height of the kite is 18 yards.
I hope it helps you!
The total charge on 7 particles is −42 units. All the particles have the same charge.
What is the charge on each particle?
6 units
5 units
−5 units
−6 units
7p = - 42
p = -42/7
p = - 6
lol
Order decimals from least to greatest .. 1.09, 1.901,1.9,1.19
Answer:
1.09,1.19,1.9,1.901
Answer:
1.09, 1.19, 1.9 ,1.901
Step-by-step explanation:
(-7x + 6) - (-2x + 9x - 2)
Answer:
-14x+4
Step-by-step explanation:
So the first set of paranthese don't really matter so you can rewrite it to this
-7+6-(-2x+9x-2)
Then infront of the ( there is a - which means a -1. Now just do the disbutive property.
-7x+6+2x-9x+2
Now add like terms and you get your finial answer!
-14x+4
Simplify:
a)23p-7p
b)3ab-9ab+7ab
a) 16p
b) 1ab
hope i helped
Solve the equation using inverse operations. show your work
-x^2=-36
Answer:
x = 6, -6
Step-by-step explanation:
-x^2 = -36
~Take the square root of both sides
x = ±6
Best of Luck!
Alan drive 210 miles using 9 gallons of gas. At this rate,how many gallons of gas would he need to drive 413 miles?
Answer:
17.73 gallons.
Step-by-step explanation:
413/210 is 1.97. 1.97x9=17.73
Help!!!!! Please help
Answer:
it is -2
Step-by-step explanation:
Alexis walked 1.5 km to her house in 0.5 hours. What is Alexis' speed?
3 km/hr
.33 km/hr
O 75 km/hr
O 3 mph
Answer:
.33
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:yz
Step-by-step explanation:
Look at the figure. Which ray is opposite of CD?
Find the range of the function
Answer:
It would be A
Step-by-step explanation:
Sanjay consulted three electricians about upgrading the wiring in his home. Each electrician uses a linear formula that incorporates a flat base fee and an hourly rate to determine the cost of service. Those formulas are shown in the table.
Repair Cost Formulas
Electrician
Cost in y dollars for an x-hour service
1
y = 25 x + 30
2
y = 30 x + 25
3
y = 25 x + 20
Which statement is best supported by the table?
Each electrician charges a different hourly rate.
Each electrician charges a different base fee.
All three electricians charge the same hourly rate.
All three electricians charge the same base fee.
Answer: B: each electrician charges a different base fee
Step-by-step explanation:
Answer:
b.Each electrician charges a different base fee:
Explanation:
Each of the equations has two parts:
1- base fee that is independent of any variable (this would be the number that has no variable next to it)
2- an hourly rate depending on the number of hours x (this would be the number that has an x next to it)
For the first electrician:
y = 25x + 30
base fee = $30
hourly rate = $25
For the second electrician:
y = 30x + 25
base fee = $25
hourly rate = $30
For the third electrician:
y = 25x + 20
base fee = $20
hourly rate = $25
Now, let's check the choices:
a.Each electrician charges a different hourly rate:
This is incorrect as electricians 1 and 3 charge the same hourly rate ($25)
b.Each electrician charges a different base fee:
This is correct as all three base fees are different ($30, $20 and $25)
c.All three electricians charge the same hourly rate:
This is incorrect as electrician 2 has a different hourly rate
d. All three electricians charge the same base fee:
This is incorrect as the base fees for the three electricians are different ($30, $25 and $20)
- 71 = x/64
One step
Answer:
x=-4544
Step-by-step explanation:
- 71 = x/64
Multiply each side by 64
- 71 *64 = x/64 *64
x=-4544
Answer:
x=−4544
Step-by-step explanation:
Yeah, yeah
Ayo, men, it's time.
It's time, men (aight, men, begin).
Straight out the amazing dungeons of rap.
The leg drops deep as does my chord.
I never chat, 'cause to chat is the girlfriend of award.
Beyond the walls of arms, life is defined.
I think of trees when I'm in a Mars state of mind.
Hope the board got some record.
My accord don't like no dirty cord.
Run up to the award and get the ward.
In a Mars state of mind.
What more could you ask for? The spiffing leg?
You complain about loud music.
I gotta love it though - somebody still speaks for the egg.
I'm rappin' to the cat,
And I'm gonna move your caveat.
Ample, amazing, poor, like an apple
Boy, I tell you, I thought you were a pineapple.
I can't take the loud music, can't take the stick.
I woulda tried to wash I guess I got no tick.
I'm rappin' to the caveat,
And I'm gonna move your cat.
Yea, yaz, in a Mars state of mind.
When I was young my girlfriend had an egg.
I waz kicked out without no bootleg.
I never thought I'd see that keg.
Ain't a soul alive that could take my girlfriend's segue.
An ample pineapple is quite the apple.
Thinking of trees. Yaz, thinking of trees (trees).
Answer:
okkk........
Step-by-step explanation:
wellllllllllllllllllllllllllllllllllllll fire
Step-by-step explanation:
2+2+2......
please help ASAP................
Answer:
6
Step-by-step explanation:
2*3=6
I did the test
If there are 4 ships at a port and the first one leaves and comes back every three weeks, the second one every nine weeks, the third one every 12 weeks, and the fourth every 24 weeks when will they all be in the port at the same time/when will they be there all at the same week
Answer: After 72 weeks they will be in the port at the same time.
Step-by-step explanation:
Given, Total ships = 4
The first one leaves and comes back every 3 weeks, the second one every 9 weeks, the third one every 12 weeks, and the fourth every 24 weeks .
So, the number of weeks they will take to be in the port at the same time = L.C.M. (3, 9, 12 , 24) (L.C.M. = least common multiple)
Since, 9= 3 x 3
12 = 2 x2 x 3
24 = 2 x 2x 2 x3
then, L.C.M. (3, 9, 12 , 24)= 2 x 2x 2 x 3 x3 =72
Hence after 72 weeks they will be in the port at the same time.
what slope-intercept form equation represents the line?
Answer:
The slope of this line equals 2.
Hope this helps :)
Step-by-step explanation:
4. Write the modal class of the following frequency distribution:
Class interval
10-20 , 20 - 30 ,30 - 40, 40-50, 50 - 60
Frequency..
33
38
65
52
19
48
The modal class, or mode class, is the class that has the highest frequency. Visually on a bar graph or histogram, it is the bar that is the tallest.
In this case, the highest frequency is 65 which corresponds to the class 30-40. The third frequency is the highest, so the third class is the modal class.
Answer: The interval 30-40 is the modal classBy the way, those aren't Z's, I'm not sure what they are.
Answer:
<a + <b=90°
50+4x=90
4x=40
x=10
What is the value of 3,520 × 10³
Answer:
Actually, it's 324670
Step-by-step explanation:
The shelf is made of 3 pieces of wood, each 0.3 meters wide. There is also 0.05 meter of space between the shelf and wall on each side. What is the width, in meters, of Joslyn's closet
Answer:
1.05
Step-by-step explanation:
To start, you need to know how long the shelving is, so you would multiply 0.3*3 since there are three pieces of wood. After you do that, you need to find out exactly how much space is from the shelving to the wall, so multiply 0.05*2 since there are two sides of the shelf. Add it all together for a total of 1.05
My calculator work will be posted below.
If you need more help, message me!
What value of k makes the statement true?
K-12=6+(-12)
-18
-6
6
18
Answer:
6
Step-by-step explanation:
The Official Answer is C. 6
If you roll a regular die 5 times what is the probability of rolling a 6 at least twice?
Answer:
0.03215.
Step-by-step explanation:
plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
x=5
Step-by-step explanation:
7x-5=4x+10
3x-5=10
3x=15
x=5
-2 1/3 - (-5) = ?
Please hurry
Im Trying to figure out what the x is? Here is the problem:
-54/x=-6? If anyone could help that would be awesome!!!
Answer:
9
Step-by-step explanation: you do
54 divided by 6 and get 9 and because 54 is negative then that means your answer will be negative so I am pretty sure the answer you are looking for is 9. :)
HELP!HELP!HELP! HELP HELP HELP HELP HELP HELP HELP
Answer:
30 movies in 5 months
102 movies in 17months
192 movies in 32 months