Answer:
(a) $52
(b) $2500
(c) $5000
Step-by-step explanation:
(a) y = 100 - 0.02x
x = 2400
y = 100 - 0.02(2400)
y = 100 - 48
y = 52
$52
(b) 50 = 100 - 0.02x
-50 = -0.02x
x = 2500
$2500
(c) 0 = 100 - 0.02x
0.02x = 100
x = 5000
$5000
A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every machine he sells. Write an equation that shows the total amount of income the salesperson earns, if he sells x machines in a year.
Answer:
40,000+300×
Step-by-step explanation:
300× × + the 40,000
-35x+85x-4=26 what is x
Answer:
x=3/5
Step-by-step explanation: first you collect like terms and move the constant to the right and then calculate and divide both sides
whoever knows 2^64 get brainlest
Answer:
[tex]1.8844674407\times 10^1^9[/tex]
Step-by-step explanation:
[tex]\mathrm{Refine\:to\:a\:decimal\:form}\\=1.84467\dots E19[/tex]
Three high school football teams each played four games. The Wildcats scored 18, 10, 14, and 18 points. The Knights scored 13, 17, 28, and 7 points. The Eagles scored 17, 28, 9, and 21 points. Which team had the highest mean points per game?
Answer:
The Eagles: 18.75
Step-by-step explanation:
The Mean of the wildcats: 15
The Mean of the Knights: 16.25
The Mean of the Eagles: 18.75
Hi it’s due tomorrow pls help me
Melissa’s math book cost $22.85 less than her art book cost. Her math book cost $93.75. How much did her art book cost?
Let f(x) = -3x and g(x) = 2x-1
Find the following: 3f(x) +2g(x)
0 6x +4
0 -5x - 2
O There is no correct answer given.
O 8x -8
O 5x+1
The value of 3f(x) + 2g(x) = -5x - 2
Algebra of functions:Given f(x) = -3x, g(x) = 2x-1 are the two functions
then by the algebra of two functions(adding two functions) we can find the value of 3f(x) + 2g(x)
Now find
3f(x) = 3(-3x) = -9x -----------(i)
2g(x) = 2(2x-1)
= 2(2x)-2(1)
2g(x) = 4x-2 ----------(ii)
Now, add the above two equation (i) and (ii)
3f(x) + 2g(x) = -9x + 4x - 2
= -5x-2
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find the difference. m+2/(m-4)^2 - m-2/(m-4)^2
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{m+2}{(m-4)^2}[/tex] - [tex]\frac{m-2}{(m-4)^2}[/tex]
Since the denominators are common then express as a single fraction
= [tex]\frac{m+2-(m-2)}{(m-4)^2}[/tex]
= [tex]\frac{m+2-m+2}{(m-4)^2}[/tex]
= [tex]\frac{4}{(m-4)^2}[/tex] → A
12x – 18
Use the gcf to factor each expression
Answer:
Step-by-step explanation:
6(2x - 3)
GCF: 6
I need help ASAP plz
A 12 1/2 mile stretch of road needs repaving . A company bids on the repaving project saying they could replace 2 1/4 miles of road per week. How many weeks will the company take to completely replace the stretch of road?
2 1/4 miles => 1 week
1 mile => 1 ÷ 9/4
( 9/4 is an improper fraction of 2 1/4 )
12 1/2 miles => ( 1 ÷ 9/4 ) × 25/2
= 50/9
= 5 5/9 weeks
( 25/2 is an improper fraction of 12 1/2 )
Therefore, it will take 5 5/9 weeks for the company to replace the stretch of road.
( you can round it off to 6 weeks if the qn specify to give to the nearest whole number )
Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=3/4x-9;(-8,-18)
Answer:
please make me brainlieast and follow me.....What is the volume of a sphere with a radius of 3 inches? 12π cubic inches 24π cubic inches 36π cubic inches 48π cubic inches
Answer:
12π cubic inches
Step-by-step explanation:
Volume = (4/3)πr^3
V = (4/3)π9
V = (36/3)π
V = 12π
Add 6.004 + 0.08 + 954 + 3.5 =
Answer:
963.584 is the answer.
select two ratios that are equivalent to 7: 10
Awsers
21 : 30
17 : 20
10 : 13
26 : 40
35 : 50
Answer: 17:20
Step-by-step explanation:
7 is 3 away from 10, 17 is 3 away from 20, hope this helps
Suppose you take $25,000 and deposit some of it into a savings account that pays 2.2% interest. You then take the rest of the money and deposit it in a CD that pays 3.05% interest at the end of 10 years the value of both accounts is $31,648. How much was deposited into each account?
Answer:
The amount deposited in the savings account is $11,494.12
The amount deposited in the CD account is $13,505.88
Step-by-step explanation:
Firstly, let’s calculate the amount of interest;
Interest = Amount at end of 10 years - amount deposited= 31,648 -25,000 = 6,648
Let the amount deposited in the savings account be $x while the amount deposited in the CD account be $y
Mathematically;
x + y = 25,000 ••••••••••(i)
Now the formula for simple interest is;
PRT/100
where P is the amount deposited, r is the rate and T is the time
On the savings account, amount of interest generated will be;
(x * 2.2 * 10)/100 = 22x/100
On the CD act, amount of interest generated will be;
(y * 3.05 * 10)/100 = 30.5y/100
The addition of both give the total interest;
22x/100 + 30.5y/100 = 6648
Multiply through by 100
22x + 30.5y = 664800 •••••••(ii)
From i, x = 25,000 - y
Substitute this into ii
22(25000-y) + 30.5y = 664800
550,000 -22y + 30.5y = 664,800
8.5y = 664,800-550,000
8.5y = 114,800
y = 114,800/8.5
y = $13,505.88
x = 25,000 -y
x = 25,000 - 13,505.88
x = $11,494.12
what is 30 times ten
Answer:
300
Step-by-step explanation:
every time you're multiplying ten just add a zero at the end of the number your multiplying.
Answer:
30x10=300
sorry if im wrong-
I need help with #17 some body pls help this is due in a few min and it’s my last question T^T
Step-by-step explanation:
i think this would be the right answer...
Answer:
53
Step-by-step explanation:
10= 1/5x Given
10 * 5 = 1/5x * 5 divide 5 to both sides (remember you need to do the reciprocal of 1/5, that's why you multiply 5 to both sides)
50=x
If x is 50, subsitute 50 in the equation x+3=?
(50) + 3 = ?
53 = ?
This week at HEB, pork chops cost $1.60 per pound. Steve bought 2 1/4 pounds of pork chops. If he paid with a $10 bill, how much change did he receive?
Answer:
He received $6.40 in change.
Explanation:
Since he bought 2.25 pounds, you multiply that by 1.6 to get a sum of 3.6. Since he paid with a ten dollar bill, and he only has to pay 3.60, they will give him back 6.40 in change.
Hope this helped :)
DeAndre Jordan has been working on his free throw shooting for the 2020-21 NBA season and it's not going well. After his workouts, he's been shooting 50% from the line in an empty gym. He shoots a string of 15, and then based on the number he makes, he has the following exercise routine. You can assume all of his free-throws have the same probability of being made (50%) and are independent of another.
If he makes more than 10 *** or less than 5. he does 40 push-ups. (A)
If he makes less than 8. he does 15 pull-ups. (B)
If he makes exactly 6 (his jersey number). he runs the length of the court and back 10 times.
If he makes between 3 and 12 (inclusive). he drinks a very tall glass of water. (D)
(He may do multiple exercises,)
***This initially incorrectly read 10 instead of 9. If you submitted your attempt before. l made the correction. I have regraded it.
Which of the following are independent ?
Select one or more:
a. A and B are independent.
b. C and D are independent.
c. A and D are independent.
d. A and C are independent.
e. B and D are independent,
Answer:
b. C and D are independent
c. A and D are independent
e. B and D are independent.
Step-by-step explanation:
The mutually exclusive events are one which cannot happen together. The event A and B are mutually exclusive events. These two cannot happen together . The independent events are those which can happen solely and their existence is not based on any other event.
Samantha is preheating her oven before using it to bake. The initial temperature of the oven is 70° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 17 minutes after being turned on? What is the temperature of the oven t t minutes after being turned on?
The answer is 410°
You have to multiply 17x20 and then add 70 because that’s the initial temp.
Answer
Temp after 17 minutes: 340
Temp after t minutes: 20t+70
Step-by-step explanation:
Plzz help!! p/5 + 2 10 in written expression
Answer:
p divided by five plus two times ten
Step-by-step explanation:
p divided by five plus two times ten
YOur question has been heard loud and clear.
p/5 + 210 = p + 1050 / 5
Thank you
What is the final answer of 100-8(12+8)+10
Step-by-step explanation:
Check the image above dear....
my ones digit is 2 more than my thousand digit. the sum of my ones and thousand is my hundreds digit. 3 less that my hundreds digit is my tens digit. my Hundreds thousand and ten thousand are the same. guess what number I can be.
Answer:
No answer. See below.
Step-by-step explanation:
This number is in the ten-thousands, so it has 5 digits.
Let the number have the form
abcde, where
a = ten-thousands digit
b = thousands digit
c = hundreds digit
d = tens digit
e = ones digit
"my ones digit is 2 more than my thousand digit."
e = b + 2
"the sum of my ones and thousand is my hundreds digit."
e + b = c
"3 less that my hundreds digit is my tens digit."
c - 3 = d
"my Hundreds thousand and ten thousand are the same."
c = b = a
We have 4 equations:
e = b + 2
e + b = c
c - 3 = d
c = b = a
Using the last equation, replace every c and b with a in the first 3 equations.
e = a + 2
e + a = a
a - 3 = d
Using the second equation, subtract a from both sides.
e = 0
Substitute e = 0 in the first equation.
0 = a + 2
a = -2; b = -2; c = -2; d = -5
Since a digit cannot be negative, there is a problem with this question.
Please check your question and correct the post.
What is the length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple?
22
29
41
42
Answer:
B
Step-by-step explanation:
The length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple is 29.
What is Pythagorean triples?Pythagorean triples are represented as the triple (a, b, c) where a represents the perpendicular side, b represents the base and c represents the hypotenuse.
Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
c² = a² + b²
Here a = 20, b = 21 and c = x.
x² = 20² + 21²
x² = 841
x = √841 = 29
Hence the length of the hypotenuse, x, is 29.
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M(5, 7) is the mid-point of the l.ine segment joining A (3,4) to B. Find the coordinates of B.
Answer:
B(7,10)
Step-by-step explanation:
[tex]M(5,7)=(x ,y)\\A(3,4)=(x_1,y_1)\\B(x_2,y_2)\\\\Endpoint ;\\x = \frac{x_1+x_2}{2}\\ \\5 = \frac{3+x_2}{2}\\ Cross\:Multiply\\5\times 2 =3+x_2\\10=3+x_2\\10-3 =x_2\\7=x_2\\\\\\y = \frac{y_1+y_2}{2} \\\\7 = \frac{4+y_2}{2}\\ Cross\:Multiply\\7\times 2 =4+y_2\\14 =4+y_2\\14-4 =y_2\\10 =y_2\\\\\\B(7,10)[/tex]
According to data from the U.S. Census Bureau, in 2010 21,495 workers in Wake County had a daily commute between 45 and 59 minutes. By 2016 the number of workers with this long of a commute had increased by 82%. How many Wake County workers had a 45-59 minute commute in 2016?
=======================================================
Explanation:
Ignore the "45" and "59" as they aren't used in this problem. The year numbers don't matter either. These numbers are either thrown in as filler or distraction.
We're basically being asked "we started with 21,495 and increased by 82%, what is the new value?"
Take 82% of this to get 0.82*21495 = 17,625.9 which rounds to 17,626 since it doesn't make sense to have a decimal or fractional portion of a person. So the number of workers has increased by about 17,626 people.
Add this to the original amount to get 21,495 + 17,626 = 39,121 which is the answer
--------------
As a shortcut, you could multiply 21495 by 1.82 to indicate an 82% increase
1.82*21495 = 39,120.9 which rounds to 39,121
Please help me ASAP! Precalc for college.
Answer:
B) f(x) = -1 if x ≤ 0
2 if x > 0
Step-by-step explanation:
B) f(x) = -1 if x ≤ 0
2 if x > 0
Given the function f(x) = 8x3 − 3x2 − 5x + 8, what part of the function indicates that the left and right ends point in opposite directions?
Answer:
First consider the term of highest degree, that is the First term in standard form so now
the term of highest degree in
f(x) is 8x³
So which is of odd degree with positive leading coefficient
∙so as. X-->- ∞ f,(x) ---> -∞
Still the same
X--> ∞ f,(x) ---> +∞
And the graph will be as below after substituting
graph{8x^3-3x^2-5x+8 [-20, 20, -10, 10]}
g(t)=t squared - 2; Find g(9)
Answer:
79
Step-by-step explanation:
So we have the function:
[tex]g(t)=t^2-2[/tex]
To find g(9), substitute 9 for t. Thus:
[tex]g(9)=9^2-2[/tex]
Square:
[tex]g(9)=81-2[/tex]
Subtract:
[tex]g(9)=79[/tex]
So, our answer is 79.
And we're done!