$17690 is the amount Michael owed his dad .
What is linear equation ?Equations and equations of maximum degree 1 are also called "linear equations". The linear equation formula can be written as Y = mx + b. where m is the slope of the line, b is the y-intercept, and x and y are the variables. Slope indicates the direction and slope of the line. . This is because (0,y) is the point where the line intersects the y-axis.
CalculationThe amount Michael owes is given by :
y = - 290x +18,560
x = number of months ; y = amount owed
Amount owed after 3 months :
Put x = 3 in the equation :
y= - 290(3) +18,560
y = - 870 + 18560
y = 17690
According to the general form of a linear equation :
y = mx + c
Where, m = slope ; c = intercept
The slope = - 290 ; Intercept = 18560
Slope is the change in y per unit change in x ; The slope means that amount owed, y decreases by 290 per month
The intercept shows that the original amount borrowed is 18560
Amount Michael owes his father decreases by 290 per month.
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The population of city A is 24% less than the population of city B, so city A's population is _____% of city B's.
Answer:
76%
Step-by-step explanation:
100%-24%=76%
What is the equation of the line that passes through the point (-3,-8) and has a slope of 4?
Answer:
[tex]y-8=4(x+3)[/tex]
Step-by-step explanation:
The equation of the line passing through the point [tex](x_1, y_1)[/tex] and slope [tex]m[/tex] is [tex]y-y_1=m(x-x_1)[/tex].
Pls help asap maths
32/3
Step-by-step explanation:
5 = 3(x-9)
5 = 3x - 27
5 + 27 = 3x
32 = 3x
x = 32/3
if Tn =5n +2 which term will have a value of 52
Answer:
10th term
Step-by-step explanation:
given [tex]T_{n}[/tex] = 5n + 2 and [tex]T_{n}[/tex] = 52 , then equate right sides and solve for n
5n + 2 = 52 ( subtract 2 from both sides )
5n = 50 ( divide both sides by 5 )
n = 10
that is the 10th term has a value of 52
Mia tasted ocean water and found it very salty which statement best explains the salty nature of ocean water?
I think the answer is C. Because the energy from the sun does break Down rocks and release salt
Emmett is planning a party at an escape room. The escape room will charge Emmett a
booking fee and an additional cost per person attending the party.
This situation can be modeled as a linear relationship.
Answer:
B. After the booking fee the party will cost $20 per person
Which linear function is graphed on the grid?
90
80
70
60
8
50
30
20
10
-9-8-7-6-5- -3 -2 -1
-10
20
у
-30
-40
-50
-60
-70
-80
88
-90
1234
56789
X
The linear function that is graphed on the grid is g(x) = (15/2)x + 45 , the correct option is (d) .
In the question ,
a linear function graph is shown ,
we have to find that linear function .
So , From the given graph we can see that
the graph passes from the points (2 , 60) and (6 , 90)
in order to find the equation , we first need to find the slope .
slope = (90 - 60)/(6 - 2)
= 30/4
= 15/2
So , the equation of the line passing through the points (2 , 60) and slope 15/2 is
(y - 60) = 15/2(x - 2)
y - 60 = (15/2)x - 15
Adding 60 to both the sides ,
we get
y - 60 + 60 = (15/2)x - 15 + 60
y = (15/2)x - 15 + 60
y = (15/2)x + 45
function is (15/2)x + 45
Therefore , The linear function that is graphed on the grid is g(x) = (15/2)x + 45 .
The given question is incomplete , the complete question is
Which linear function is graphed on the grid shown below ?
(a) g(x) = (2/15)x - 6
(b) g(x) = (2/15)x + 45
(c) g(x) = (15/2)x - 6
(d) g(x) = (15/2)x + 45
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Martin had 6 magazines. Then m more magazines came in the mail. Write an expression that shows how many magazines Martin has now.
Martin had 6 magazines. Then m more magazines came in the mail. Write an expression that shows how many magazines Martin has now.
Martin now has: 6 + m
Using the calculator below, substitute the values to calculate the interest amount on a the loan using the compound interest formula. Principal: $4,000 time: 10 years rate: 7% number of compounding periods: 4 What is the amount of the compound interest? (interest only)
a. 2,800
b. 4,757
c. 4,006
d. 59,897
Deion plans to repaint some classroom bookcases. He has 3 5 /1 gallons of paint. All of the bookcases are the same size and each requires 1/5 gallon of paint. How many bookcases will he be able to paint?
The bookcases that Deion will be able to paint is 16.
What is a fraction?It should be noted that a fraction is a part of a whole number that has a numerator and denominator.
In this case, Deion has 3 1/5 gallons of paint and all of the bookcases are the same size and each requires 1/5 gallon of paint.
The number of bookcase needed will be:
= Total gallons / Gallons for each
= 3 1/5 ÷ 1/5
= 16/5 ÷ 1/5
= 16/5 × 5/1
= 16
He can paint 16 cases.
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how to find the area with a circumfernece of 18
The area of the circle with the circumference 18 units is 25.80 square units
How to calculate the area of the circle?The given parameters are
Circumference = 18 units
As a general rule, circumference are represented by the variable C
So, we have the following representation equation
C = 18
The circumference of the circle can be calculated as
C = 2πr
Next, we substitute the value of the variable C in the above equation
i.e. C = 18
So, we have the following equation
2π * r = 18
Divide both sides by 2π
r = 9/π
The area of the circle can then be calculated using the following area formula
A = πr²
Next, we substitute the value of the variable r in the above equation
i.e. r = 9/π
A = π * (9/π)²
Evaluate the exponents
This gives
A = π * 81/π²
Evaluate the products
So, we have
A = 81/π
As a general notation, π = 3.14
So, we have the following equation
A = 81/3.14
Evaluate the quotient
A = 25.80
Hence, the area is 25.80 square units
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What is 804082 written in expanded form
Answer:
Step-by-step explanation:
(8 x 100000) + (0 x 10000) + (4 x 1000) + (0 x 100) + (8 x 10) + (2 x 1) = 804082
WILL MARK BRAINLIEST
Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y = 8x-6
Answer:
y = (-1/4)x + 9/4
Step-by-step explanation:
i got u
The lengths of the three sides of a triangle (in feet) are consecutive even integers. If the perimeter is 60 feet, find the value of the shortest of the three side lengths.
Step-by-step explanation:
3 consecutive even integer numbers :
x
x + 2
x + 4
their sum is the perimeter : 60 ft.
x + x + 2 + x + 4 = 60
3x + 6 = 60
3x = 54
x = 18
the shortest of the 3 sides is 18 ft.
and then we have the other 2 sides with 20 and 22 ft.
State whether the following variables have a positive correlation, negative correlation, or no correlation.
3.)
(a.)Height of a person and how often he or she attends religious services. __________________________________
(b.)Average property tax in a school district and salary of teachers __________________________
(c.)Weight of a person and shoe size. ____________________________
The types of correlation seen between positive correlation, negative correlation, or no correlation, in the variables is:
a. Height of a person and how often he or she attends religious services. - No correlation (b.)Average property tax in a school district and salary of teachers - Positive correlation (c.)Weight of a person and shoe size. - Positive correlation What is the correlation between property taxes and teacher salaries?One of the main sources of funding for school districts is the property tax charged. This means that increased property taxes will lead to more money being available for teacher salaries which might then increase. There is therefore a positive correlation between the two.
The same is true for the weight of a person and shoe size. This is because the heavier a person is, the larger their shoe size according to research.
There is however no correlation between the height of a person and their attendance of religious services.
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The cost to produce x units of wire is C= 45x + 450, while the revenue is R= 70x. Find the interval where the product will at least break even.
The interval where the product will be at least break even equals to 18 units.
What is a break even point?In accounting, the break-even point refers to the production level at which total revenues equal total expenses.
Given data
Cost is given as C = 45x + 450
Revenue is given as: R = 70x
In this case, the point of breakeven will be:
Cost = Revenue
45x + 450 = 70x
We will collect like terms:
70x - 45x = 450
25x = 450
We will divide both side by 25:
25x/25 = 450/25
x = 18
Therefore, the interval where the product will be at least break even equals to 18 units.
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What is the solution to the equation 3m-4-3/2m+8=0?
Om = -24
Om = -12
Om = -6
O m = -4
Answer:
[tex]m=-8/3[/tex], the options are wrong
Step-by-step explanation:
[tex]3m-4-\frac{3}{2}m+8=0 \\ \\ 6m-8-3m+16=0 \\ \\ 3m+8=0 \\ \\ m=-\frac{8}{3}[/tex]
The question is incorrect.
I need help with this problem. Please and thank you.
The correct option; B. Two irrational numbers, are the two roots found for the given quadratic equation.
What is defined as the discriminant?In mathematics, a discriminant is a parameter that can be determined for an object or system to help with its categorization or solution. The discriminant for the quadratic equation ax² + bx + c = 0 is b² - 4ac.If the discriminant is positive, the roots of such a quadratic or cubic equation having real coefficients are real and distinct, if the discriminant is zero, the roots are real with at least two equal, and if the discriminant is negative, the roots have included a conjugate pair of complex roots.For the given question;
The quadratic equation is give as;
x² + 5x + 3 = 0
discriminant D = b² - 4ac
b = 5, a = 1 and c = 3
D = 25 - 4(1)(3)
D = 25 - 12
D = 13
√D = √13
As, number is real, there will be two real roots.
As, root of discriminant √D = √13 is a irrational number, the solutions of the given quadratic equation will be two irrational number.
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It is 163 cm from your eyes to your toes. You're standing 220 cm in front of a tall mirror. How far is it from your eyes to the image of your toes?
The distance between the eyes and the distance to the image of the toes will be 273.80 cm.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.
According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that It is 163 cm from your eyes to your toes. You're standing 220 cm in front of a tall mirror.
The distance between the image of toes and eyes will be calculated as,
H² = P² + B²
H= √(P² + B²)
H = √(163² + 220²)
H = √(26569+48400)
H = √74969
H = 273.80 cm
Therefore, the distance between the eyes and the distance to the image of the toes will be 273.80 cm.
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Translate each phrase into a variable expression. Use n for the variable.
Nine increased by twice a number
The expression of the phrase " Nine increased by twice a number " is 2n + 9
The given phrase is
Nine increased by twice a number
We have to convert the the phrase to the expression
The expression is the mathematical statement that consist of different variables, numbers and mathematical operators. The mathematical operators are addition, subtraction, division and multiplication. The equal sign and inequality will not be the part of expression.
Consider the number as n
Twice the number = 2n
nine increased by twice a number = 2n + 9
Hence, the expression of the phrase " Nine increased by twice a number " is 2n + 9
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I need this for today !!!
Answer:
1. reflection
2.translation
3.rotation
4.translation
5.translation
6.reflection
7.rotation
8.reflection
Hope this helps
have a good day
God bless you!
Given that 150 students were interviewed, 85 signed for mathematics, 70 signed for English, and 50 signed for both. Draw a venn diagram to show.
How many signed for only mathematics
Answer: 35
Step-by-step explanation:
If 85 students signed up for mathematics but 50 of those students also signed up for both then you need to subtract 85 from 50 to get 35.
Find a point on the line only.
Answer:
Step-by-step explanation:
this is very complicated and i suggest you to go to einstin
Find the intercepts and use them to graph the equation y=x-6
Answer:
x intercepts= (6,0)
y intercepts= (0,-6)
Step-by-step explanation:
I graphed the points.
¿Cuántas personas podrán ir sentadas en 5 buses si en cada uno se suben 85 personas y solo van sentados tres quintas partes de esas personas?
The number of people that are seated in the buses is 425
How to calculate the number of people?From the information, there are 5 buses and there are 85 people in each. Therefore, the total number of people will be:
= 85 × 5.
= 425
Since 3/5 of those people are seated, the number of people seated will be:
= Fraction of those seated × Total number of people.
= 3/5 × 425
= 255
Therefore, there are 255 people.
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Find the equation of the line. Use exact numbers. y=y=y, equals x+x+x, plus
The equation of the line in the graph is y = 4x - 9..
How to find the equation of a line?The equation of a line in slope intercept form can be represented as follows:
The line forms a linear equation.
Therefore,
y = mx + b
where
m = slopeb = y-interceptTherefore, using (0, -9)(3, 3) let's find the slope
m = 3 + 9 / 3 - 0
m = 12 / 3
m = 4
Therefore, let's find the y-intercept using (0, -9).
-9 = 4(0) + b
b = -9
Therefore, the equation is y = 4x - 9.
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Question 2 (1 point) Find the area of a triangle with two sides measuring 6 meters and 8 meters with an included angle of 137 degrees. D. 15.8 m² OB. 12. 7m² Oc 16.4m² A. 14.3 m²
Answer:
1). True
2). x = 16.4 m^2
3). A = 24, h = 4
4). A = 18.39
5). 162
Step-by-step explanation:
I took this quiz on K12 and got everything correct! Brainliest welcome! :)
Find the average rate of change of the given function on the interval [1,6]. g(x)=2x2−x
Answer:13
Step-by-step explanation:
g(1)=2(1)^2-1= 1
g(6)=2(6)^2-6=66
66-1/6-1=13
Comet Lee borrowed $16,000 on a 6%, 90-day note. After 20 days, Comet paid $2,000 on the note. On day 50, Comet paid $4,000 on the note. What are the total interest and ending balance due by the U.S. Rule? Use ordinary interest. (Use 360 days. Do not round the denominator in your calculation and round your final answers to the nearest cent.)
The total amount of interest and the final debt owed under the US Rule is $191.09.
Given that,
Comet Lee took out a $16,000 loan with a 90-day, 6% note. Comet settled the note for $2,000 after 20 days. Comet settled the note for $4,000 on day 50.
We have to find what is the total amount of interest and the final debt owed under the US Rule.
First,
To calculate $2000 per 20 days.
We know that,
i=p×r×t
Here,
i is interest.
p is principal amount.
r is rate of interest
t is time.
So, p is $1600
r is 6%
t is 20 days is 20/360
So,
i= 1600×0.06×20/360
i= $53.33
Apply partial payment to interest due,
$2000-$53.33= $1946.67
Next,
Subtract remainder of payment from principal is adjusted balance
Adjusted balance =$16000-$1946.67
Adjusted balance =$14053.33
Now, Second,
To calculate $4000 per 50 days.
We know that,
i=p×r×t
So, p is $14053.33
r is 6%
t is 50 days is 30/360
So,
i= 14053.33×0.06×30/360
i= $70.27
Apply partial payment to interest due,
$4000-$70.27= $3929.73
Next,
Subtract remainder of payment from principal is adjusted balance
Adjusted balance =$14053.33-$3929.73
Adjusted balance =$10123.6
Now, for 40 days
i= 10123.6×0.06×40/360
i= $67.49
So, balance is 10123.6+67.49= $10191.09
When max make two makes partial payments,
The total interest is $53.33+$70.27+$67.49= $191.09
Therefore, the total amount of interest and the final debt owed under the US Rule is $191.09.
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Carlos goes out to lunch. The bill, before tax and tip, was $13.80. A sales tax of 3% was added on. Carlos tipped 23% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
Answer:i think its 13.70 or 14.00
Step-by-step explanation:
Answer:
$3.27
Step-by-step explanation:
$13.80 x 1.03 (which will add the 3% to the total, skipping a step) = $14.21
Then take $14.21 x .0.23 which will give you just the tip amount of $3.2683 or rounded to the nearest cent, $3.27
