Answer:
$933.12
Step-by-step explanation:
So 20% of $1,080 is 216.
1080 - 216 is 864
8% of 864 is 69.12
864 + 69.12 would be $933.12
A lawyer charges a $75 consultation fee and then $120 per hour thereafter.
a). Identify the dependent and independent variable.
b). Make a table of values for the cost of $C of an appointment with the lawyer for time t hours where t= 0,1,2,3,4.
c). What is the relationship between C and t linear?
d). If you graphed this relationship, is it sensible to join the points graphed with a straight line? Give reason with your answer.
e). For every increase of 1 hour for t, what is the change in C?
f). For an appointment with the lawyer, what is the fixed cost and variable cost?
Answer:
(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this, [tex]\frac{C}{T} \frac{75}{0} \frac{195}{1} \frac{315}{2} \frac{435}{3} \frac{555}{4}[/tex], where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.
(e) For every hour spent the cost increases 120 dollars.
(f) The fixed cost is 75 dollars for consultation and the veriable cost is 120 per hour.
Select the quadratic that has roots x = 8 and x = -5.
A
x2 + 3x - 40
B
x² – 3x – 40
C
x? + 13x + 40
D
x? - 13x + 40
[tex]\text{ The roots are}~ \alpha = 8~ \text{and}~ \beta = -5\\\\\text{Equation for the given roots,}\\\\x^2 -(\alpha +\beta )x +\alpha \beta = 0\\\\\implies x^2 -(8-5)x + 8(-5)=0\\\\\implies x^2 -3x -40=0\\\\\text{Hence, the answer is option B}[/tex]
solve for the missing side!
please be quick i will give brainlist
Answer:
15m
Step-by-step explanation:
You need to do the Pythagorean Theorem:
a^2 + b^2 = c^2
*(The ^ is meaning to a power or squared in this case)*
You are solving for c which is the hypothenuse!
12^2 + 9^2 = c^2
144+81 = c^2
225 = c^2 *(The opposite of squaring something is the square root)*
c= The square root of 225
That shall be simplified to 15
According to Pythagoras theorem
Base² + perpendicular ² = Hypotenuse ²
12² + 9² = H²
144 + 81 = H²
225 = H²
H = √225
H = 15
Hypotenuse = 15m
HOPE IT HELPS :)
show complete solution
what is the difference between greatest common factor and least common multiple?
Answer:
The greatest common factor (GCF) is the largest number that is a factor of two or more numbers, and the least common multiple (LCM) is the smallest number that is a multiple of two or more numbers.
Three same-sized cubes are glued together as shown below.
f the side length of each cube is 4 inches, what is the surface area of the figure?
A.
240 square inches
B.
192 square inches
C.
224 square inches
D.
288 square inches
Answer:
C
Step-by-step explanation:
the surface consists of
3 front squares
3 back squares
2 right side squares
2 left side squares
2 top squares
2 bottom squares
that means we have in total 14 squares.
one square is 4×4 = 16 in²
so the total surface area is
14 × 16 = 224 in²
simplify 15a+21b-6a-4
Answer:
9a+21b-4
Step-by-step explanation:
first of all combine the like terms
15a + 21b - 6a - 4
= 9a + 21b - 4 Ans.
The simplified expression of 15a+21b-6a-4 is 9a+21b-4
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 15a+21b-6a-4
Fifteen times of a plus twenty one times of b minus six times of a minus four.
a and b are the variables and plus, minus are the operators
Add the like terms in the expression
15a-6a+21b-4
Fifteen times of a and minus six times of a are the like terms.
So add these like terms.
When 15 and -6 are added we get 9
So the expression becomes as Nine times of a plus twenty one times of b minus four.
9a+21b-4
Hence, the simplified expression of 15a+21b-6a-4 is 9a+21b-4
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Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2.
Answer: 7lb
Step-by-step explanation:
The amount of gravel required cover each square feet of the garden obtained by dividing the total amount of gravel used and the total area of the garden is 7 lb
Total area of garden = 36 ft²
Total amount of gravel used = 252 lb
The amount of gravel used to cover each ft² of the garden can be calculated thus :
(Total amount of gravel used) ÷ (Total area of garden)
252 ÷ 36 = 7 lb
Therefore, the amount of gravel required to cover each square feet of the garden is 7 lb
Answer:
See below
Step-by-step explanation:
D o you want pounds / sq foot ?
252 lbs / 36 ft^2 = 7 pounds per square foot
Determine the period.
Check the picture below.
Answer:
The Answer is 4
Step-by-step explanation:
Right on Acellus
have a great day!
:)
The perimeter of the rectangle below is 222 units find the length of side RS
Answer:
111
Step-by-step explanation:
divide 222 by 2 and you get your answer
Answer:
55.5
Step-by-step explanation:
since we don't know the length or width of any side, one length side will only be 1/4 of 222. And perimeter is all the sides added up. This rectangle will actually be a square.
222/4=55.5
What is the value found using the linear approximation? ln(0.93) ≈
Answer:
I think its 0.9 I believe so
if the length of diagonal of a square is 4-√2 cm, find it's length, perimeter and area.
Step-by-step explanation:
1) the length of the side is:
[tex]\frac{4-\sqrt{2} }{\sqrt{2}}=2\sqrt{2}-1.[/tex]
2) the required perimeter is:
[tex]P=4(2\sqrt{2} -1)=8\sqrt{2} -4.[/tex]
3) the required area is:
[tex]A=(2\sqrt{2} -1)^2=9-4\sqrt{2}.[/tex]
Answer:
Side length = (2√2 - 1) units
Perimeter = (8√2 - 4) units
Area = (9 - 4√2) units²
Step-by-step explanation:
Properties of a square:
It is a quadrilateralThe opposite sides are parallelAll four sides are equal in lengthAll interior angles measure 90°The diagonal of a square creates two right triangles, with the diagonal being the hypotenuse, and the sides of the square being the 2 legs.
Let x = side length of the square
Using Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ x² + x² = (4 - √2)²
⇒ 2x² = 18 - 8√2
⇒ x² = 9 - 4√2
⇒ x = ±(2√2 - 1)
⇒ x = 2√2 - 1 only (as distance is positive)
Perimeter of a square = 4x
= 4(2√2 - 1)
= 8√2 - 4
Area of a square = x²
= (2√2 - 1)²
= 9 - 4√2
if 2x2 is 4 then why is 2+2 5????
Answer:
Simple it's not
Step-by-step explanation:
Answer:
wait.... 2x2 is 4 2 + 2 = 4?
Step-by-step explanation:
When Tim was 5, he got 20 birthday gifts. When Tim was 13, he got 6 birthday
gifts. (Show your work)
a. What is the percent of change?
b. Is the change an increase or a decrease?
Answer:
A) 6.66% B) It's a decrease
(Hi! Hope this was helpful. Please tell me if you needed a different answer. Have a great day:)
Using proportions to solve for missing sides.
BCD~GEF, find BD.
Answer:
BD = 19
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so we have ...
BD/GF = BC/GE
(2x -7)/57 = (x +4)/51 . . . . use the values marked on the diagram
17(2x -7) = 19(x +4) . . . . . . . . multiply by 969
34x -119 = 19x +76 . . . . . eliminate parentheses
15x = 195 . . . . . . . . . add 119-19x
x = 13 . . . . . . . . . . divide by 15
BD = 2(13) -7 . . . . use the found value of x in the expression for BD
BD = 19
Instructions: Drag the correct term for
this definition.
The perpendicular bisectors of the
sides of a triangle intersect in a
point that is equidistant from the
vertices.
Answer:
The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.
If you can please give brainliest thank you <3
Step-by-step explanation:
What is the mode of the data set?
78, 82, 91, 78, 92, 77, 80, 74, 81
Answer:
mode=92
Step-by-step explanation:
Solution
no of data=9(odd)
mode= n+1/2
= 9+1/2
=10/2
=5th position
mode= 92
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two examples of likely and unlikely events in mathematics probability
Answer:
what's likely is times or Addition less like likely is subtraction or rounding
In a Right Triangle, if the measurement for the base (B) equals a negative 6 and the hypotenuse equals (C) equals 12, then what is the value of the side (A)?
Business mathematics.
Mr Kula opens a shopfront where he will lend money to anyone ( without security) if they are willing to pay his interest rate of 2% per week compounded daily. The first customer borrows $5000 to buy a used car, but is unable to pay Mr Kula back for 12 weeks. How much will the customer have to pay back at this time?
Answer:
$6200
Step-by-step explanation:
2% of $5000 = $100
So that's a hundred dollars per week
12 weeks x $100 = $1200
$5000 (The original amount the first customer borrowed)
+ $1200 (The interest rate)
= $6200
(P.S. Please give me a brainliest if you can)
Help picture below problem 19
Answer:
9
Step-by-step explanation:
Because the 9 (by the power 12)/9 (by the power 12) becomes 9 (by the power 12) x (by the power -12). HEre 12 gets subtracted by -12 and now remains 1 so, 9 (by the power 1) is 9
Draw a box- and- whisker plot that corresponds to the given data set 31, 12, 8, 25, 23, 17, 20, 13
The box-and-whisker plot that displays the five-number summary of the given data is: option B.
How to Draw a Box-and-whisker Plot?A box-and-whisker plot displays the five-number summary of a data, which includes, the min and max values, medain, upper and lwoer quartiles.
To draw a box-and-whisker plot, find the five-number summary of the data, 31, 12, 8, 25, 23, 17, 20, 13:
Minimum: 8First Quartile: 12.5Median: 18.5Third Quartile: 24Maximum: 31Therefore, the box-and-whisker plot that displays the five-number summary of the given data is: option B.
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Help help help help math math
Answer:
7
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtractioin
Evaluate: 2² * 3 - 5
2² * 3 - 5 <== exponents first
4 * 3 - 5 <== multiplicaiton second
12 - 5 <== subtraction last
7 <== final answer
Hope this helps!
7
Solution:Let's evaluate this expression.Please notice the hint: "Remember the word PEMDAS".Here's what PEMDAS stands for.P -> ParenthesesE -> ExponentsM -> MultiplicationD -> DivisionA -> AdditionWe do not have parentheses here, but we do have exponents ([tex]2^2[/tex])[tex]2^2[/tex] equals 2×2, or 4.Right now the expression is equivalent to4×3-5According to PEMDAS, the next operation is M, or Multiplication:12-5And finally, subtract:7Hope it helps.
Do comment if you have any query.
which combinations hold the same amount of liquid as an 8-pint bowl
Write the equation of the line with a slope of 6 and pass-through (-2,-4)
Answer:
y=6x+8
Step-by-step explanation:
y=mx+b
-4=6(-2)+b
-4=-12+b
8=b
if a man is 6"2 in height and shrinks 3 inches how tall is he now?
Answer:
5"11
Step-by-step explanation:
6 foot 2 inches minus 3 inches is 5 foot 3 inches
Answer:
5'11
Step-by-step explanation:
6. За день туристы прошли 22 km. 3 часа они
шли со скоростью 4 km/h, а остальное рас-
стояние
со скоростью 5 km/h. Сколько вре-
мени туристы были в дороге?
Answer:
5 hoursStep-by-step explanation:
The question isThe tourists walked a distance of 22 km during a day.
The first 3 hours they walked with the speed of 4 km/h and the rest of the distance with the speed of 5 km/h.
What was the total time they walked.
----------------------
Let the time the tourists walked with 5 km/h is t, then we have the following equation for the total distance
3*4 + t*5 = 22Solve for t
12 + 5t = 225t = 22 - 125t = 10t = 2The total time was
3 + 2 = 5 hoursSelect the correct answer. The total cost of a flower bouquet depends on the types of flowers in the arrangement. A bouquet containing 6 roses, 3 lilies, and 2 carnations costs $26.75. A bouquet containing 3 roses, 4 lilies, and 5 carnations costs $25.50. A bouquet containing 1 of each flower costs $6.75. Which system of equations represents this situation, where rrepresents the number of roses, /represents the number of lilies, and c represents the number of carnations?
Answer: Roses 2.70 Lillies 2.45 Carnations 1.60
Step-by-step explanation:
I dont know if its wrong its mostly correct but hope it helps
PLEASE HELP PLEASE HELPP
Answer:
B
Step-by-step explanation:
Coordinates are (x,y) so just look at the table on how the x-value compares.
Answer:
answer is B
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Solve the system of equation.
+3=17
x
+
3
y
=
17
−+2=8
−
x
+
2
y
=
8
Step 1: Find the LCM to eliminate the x.
Step 2: Write the new equation.
Step 3: Divide to solve for y.
Answer:
Equation 1: x + 3y = 17
Equation 2: -x + 2y = 8
Add Equation 2 to Equation 1:
x + 3y = 17
+ -x + 2y = 8
5y = 25
Divide both sides by 5:
[tex]\sf \implies \dfrac{5y}{5}=\dfrac{25}{5}[/tex]
[tex]\sf \implies y=5[/tex]
