Answer:
Vicky's take home pay per month will be $1,580
Step-by-step explanation:
Given that her salary per annual i.e salary for the year = $24,000
Therefore salary per month would be $24,000/12 = $2,000.
From this, she must pay 15% income tax.
i.e 15% of salary
15/100 * 2000
= 0.15*2000
= $300.
Salary after paying tax = $2,000 - $300= $1,700.
Since, she must repay a loan at a rate of $120 per month we will reduct the loan from her salary,
$1,700 - $120 = $1,580
Vicky's take home pay per month will be $1,580
Answer: Vicky's take home pay per month is $1,580
Step-by-step explanation: If Vicky's annual gross salary (salary before any deductions) is given as 24000, then her monthly gross salary is derived as;
Salary Per month = 24000/12
Salary per month = 2000
She must pay 15 percent income tax and this derived as follows;
Income tax = 2000 x 0.15
Income tax = 300
Therefore her salary after tax deduction is derived as follows;
Salary after tax = 2000 - 300
Salary after tax = 1700
However, she must repay a loan (after tax deduction) at a rate of 120 per month, which is now derived as follows;
Salary after loan repayment = 1700 - 120
Salary after loan repayment = 1580
Therefore the calculations show that her take home pay after all adjustments comes down to $1,580 per month.
An exponential function is written y=a(b^x) Which variable determine if the function is increasing or decreasing?
1. a
2. b
Answer:
b
Step-by-step explanation:
if b is less than 1, it is a decreasing function; if b is more than 1, it is an increasing function
Find the volume of the sphere
A=1/2 h(b+c) solve for b
Answer:
b = [tex]\frac{2A-hc}{h}[/tex]
Step-by-step explanation:
Given
A = [tex]\frac{1}{2}[/tex] h(b + c)
Multiply both sides by 2 to clear the fraction
2A = h(b + c) ← distribute
2A = hb + hc ( subtract hc from both sides )
2A - hc = hb ( divide both sides by h )
[tex]\frac{2A-hc}{h}[/tex] = b
A graph has quantity on the x-axis and price on the y-axis. Demand curve points are at (20, 70), (40, 40), (60, 10).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (20, 70), (40, 80), (60, 90). Based on the demand graph and the supply graph shown above, what is the price at the point of equilibrium? a. 100 b. 70 c. 40 d. There is not enough information given to determine the point of equilibrium.
Answer:
B) 70
Step-by-step explanation:
Answer:
I think it is 70
Step-by-step explanation:
a pizzeria stores flour in a 5-gallon container. Each pizza they make uses 7 cups of flour. can the cook at pizzeria make 12 pizzas without refilling the canister?
the canister holds cups and they need cups of flour to make 12 pizzas?
Answer:
The cook CANNOT make 12 pizzas without refilling the canister
Step-by-step explanation:
Please see the attached files for explanation
The pizzeria cook can make 12 pizzas without refilling the flour container.
The pizzeria stores flour in a 5-gallon container. Each pizza uses 7 cups of flour. To determine if the cook can make 12 pizzas without refilling, we need to calculate if 5 gallons of flour is enough.
Calculation:
5 gallons = 640 cups (since 1 gallon = 128 cups)
12 pizzas x 7 cups/pizza = 84 cups needed for 12 pizzas
Since the canister holds 640 cups and only 84 cups are needed for 12 pizzas, the cook can indeed make 12 pizzas without refilling.
Patricia buys a round dinner table the radius of the dinner table is 6 m what is the area of the table table
Answer:
18.8495559215 m
Step-by-step explanation:
It is 6 times pi.
Answer:
113.04
Step-by-step explanation:
I know this seems like duhh but I honestly forgot
Answer:
In parasitic relationships, the parasite is a term for a parasitic organism - it leeches substance from its host. In this case, the host is the dog.
Plz help if u understand!?
Answer:
26.08
Step-by-step explanation:
Answer:
26.08
Step-by-step explanation:
You need to use pythagorean formula. a^2 + b^2 = c^2
since b and c are the farthest you plug in you numbers
22^2 + 14^2 = 680^2
690^2 = about 26.08 miles
hope this helps!
what is the square root of 100
Answer:
the square root of 100 is +-10
Step-by-step explanation:
a square root is the number that when squared makes that number
10 squared =100
Answer:
Plus or minus 10
Step-by-step explanation:
10 times 10 is 100, also, -10 times -10 is 100
Which is the graph of the exponential function y = 0.5(0.5)^x?
Answer:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y
=
0
.
Horizontal Asymptote:
y
=
0
Step-by-step explanation:
the third pic
The answer is graph 3.
What is the exponential function?An exponential function is a mathematical function of the following form: f ( x ) = ax. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.
What are the exponential function and examples?Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base, and x is called the exponent. An example of an exponential function is the growth of bacteria. Some bacteria double every hour.
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The magnitude, M, of an earthquake is defined to be
, where / is the intensity of the earthquake (measured by the
amplitude of the seismograph wave) and S is the intensity of a "standard" earthquake, which is barely detectable. What is the
magnitude of an earthquake that is 35 times more intense than a standard earthquake? Use a calculator. Round your answer to
the nearest tenth.
-1.5
-0.5
1.5
3.6
Answer:
1.5
Step-by-step explanation:
The magnitude, M, of an earthquake is defined to be
M = log l/s
where I is the intensity of the earthquake and s is the intensity of a “standard” earthquake.
If an earthquake that is 35 times more intense than a standard earthquake, then l/s = 35. Replacing it in the equation:
M = log 35 = 1.5
Answer:
its c my dude 1.5
Step-by-step explanation:
Help
Needs to explain to me plzzz
Answer:
Its 15, just trust me on this one
Step-by-step explanation:
Two students will be chosen at random from 8 boys and 12 girls. What is the probability that a boy then a girl will be chosen? Remember to simplify your fraction! *
4 points
Answer:
boys + girls = 20
boys 2/20 girls 2/20 but if boy and girl are chosen it is a 1/20 chance of boy and girl are chosen so 2/20 =1/10
Step-by-step explanation:
With which values of the argument the function acquires a value equal to144
[tex]y = \frac{1}{9x {}^{2} } [/tex]
Answer:
[tex]x=\frac{1}{36} \, \,and\,\, x=-\frac{1}{36}[/tex]
Step-by-step explanation:
To find at which values of the argument the function renders 144, we need to solve for "x" in the equation when y is 144:
[tex]y=\frac{1}{9\,x^2}\\144=\frac{1}{9\,x^2}\\144\,x^2=\frac{1}{9} \\x^2=\frac{1}{9\,(144)} \\x^2=\frac{1}{1296} \\x=+/-\sqrt{\frac{1}{1296} } \\x=+/-\frac{1}{36}[/tex]
Therefore there are two solutions: one is 1/36 and the other one is its opposite; -1/36
Answer:
Step-by-step explanation:
hello :
solve : 1/9x² = 144
x² = 144×9
x² =(12×3)² means : x² =36²
so : x=36 or x= -36
What is the m∠1? 21° 42° 71° 82°
Answer:
The correct answer is 71, correct on e d g e n u i t y.
Step-by-step explanation:
Can i please get brainlist?
The measure of ∠1 in the diagram is 71 degrees.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
From the given diagram,
63 + (15x - 3) = 180° (sum of angles on a straight line)
15x = 120
x = 8
m∠1 = 8x + 7. (opposite angles are equal)
m∠1 = 8(8) + 7 = 71°.
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what is the slope of y+3=−4(x+7)
A
−1
B
−2
C
-1/2
D
1
Sean needs to figure out how much paint he needs in order to cover all of the sides of his ramp. what is the surface area of the ramp?
a) 102 cm2
b) 210 cm2
c) 258 cm2
d) 432 cm2
Answer:
210
Step-by-step explanation:
find the area of each rectangle and add it to the area of both the triangles
9(6) +5(9) +9(7)+(6(8))/2 + (6(8))/2
The surface area of the ramp will be 210 square cm. Then the correct option is B.
What is the surface area of a triangular prism?Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and W be the width of the rectangle. Then the surface area of the triangular prism will be given as,
Surface area = 2 Area of triangle + 3 Area of rectangle
Surface area = (h x b) + (L₁ + L₂ + L₃) x W
Sean must determine how much paint he will use to cover all of the edges of his ramp.
The surface area of the ramp is calculated as,
SA = (8 x 6) + (5 + 6 + 7) x 9
SA = 48 + 18 x 9
SA = 48 + 162
SA = 210 square cm
The surface area of the ramp will be 210 square cm. Then the correct option is B.
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Solve the system of equations. y= 2x -3 y= x^2 -3
Answer:
(0, - 3 ) and (2, 1 )
Step-by-step explanation:
Given the 2 equations
y = 2x - 3 → (1)
y = x² - 3 → (2)
Substitute y = x² - 3 into (1)
x² - 3 = 2x - 3 ( subtract 2x - 3 from both sides )
x² - 2x = 0 ← factor out x from each term
x(x - 2) = 0
Equate each factor to zero and solve for x
x = 0
x - 2 = 0 ⇒ x = 2
Substitute these values into (1) for corresponding values of y
x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = 2 : y = 2(2) - 3 = 4 - 3 = 1 ⇒ (2, 1 )
Answer:
(0, - 3 ) and (2, 1 ) 100% correct
Step-by-step explanation:
can someone help pleaseee i will give brainlyest
Answer:
the last option = 103 ft
Step-by-step explanation:
It is in the ratio of
1 : 30
Multiply each side by 5.5
5.5 : 165
convert 165 inches to feet
13.75
1 : 30
multiply each side by 3
3 : 90
convert 90 inches to feet
7.5
since it is asking for the area multiply 13.75 ft and 7.5 feet
13.75 * 7.5 = 103 ft
Can someone help me with my homework
Answer:
12. 268
13. 417
14. 83
Step-by-step explanation:
A solution to a system of two linear equations is where they intersect
A. Always
B. Sometimes
C. Never
A. Always
Two lines don't always intersect, but the solutions are always where they intersect.
Lily sells bracelets. For each bracelet she sells she gets $4. She went to a craft show and sold 67 bracelets. How much money did she make?
Answer:
67x4=268
Step-by-step explanation:
268
Answer:
268
Step-by-step explanation:
67×4= 268
use a calculator to multiply
What is the equation of the following graph in vertex form?
y = (x − 2)2 + 1
y = (x − 1)2 + 2
y = (x + 2)2 + 1
y = (x + 2)2 − 1
Answer:
y = (x- 2)^2 + 1
Step-by-step explanation:
Because the vertex is at (2, 1)
so the equation is y = (x- 2)^2 + 1
Please help with this. Thank you
Answer:
the answer os
Step-by-step explanation:
i m only n 5th grade
What is the degree measure of s? A) 106° B) 122° C) 131° D) 151°
Answer:
I need an angle to find the degrase.
Answer:
D)151
Step-by-step explanation:
61° + 90° = 151°
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
whats the answer can u please solve it.
Answer:
daaang thats hard
wow :/Step-by-step explanation:
Answer:
C
Step-by-step explanation:
in the november section, 25% is cut.
hope this helps :)
A line parallel to a triangle's side splits AB into lengths of x - 7 and x - 3. The other side, AC, is split into lengths of x and x + 12. What is the length of AC?
A) 21
B) 33
C) 54
D)
21
2
Answer:
33
Step-by-step explanation:
Usatestprep
The length of AC is 33. The correct option is B) 33
The diagram that illustrates the question is shown in the attachment below:
From the question,
We are to determine the length of AC.
To determine the length of AC,
First, we will determine the value of x.
From Triangle proportionality theorem,
We have that
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
Then, from the diagram, we can write that
[tex]\frac{x-3}{x-7}=\frac{x+12}{x}[/tex]
Now, we will solve for x
[tex]\frac{x-3}{x-7}=\frac{x+12}{x}[/tex]
This becomes
[tex]x(x-3) = (x-7)(x+12)[/tex]
Clearing the brackets
[tex]x^{2} -3x = x^{2} +12x-7x-84[/tex]
Simplifying, we get
[tex]x^{2} -3x = x^{2} +5x-84[/tex]
Subtract x² from both sides
[tex]x^{2}-x^{2} -3x = x^{2}-x^{2} +5x-84[/tex]
[tex]-3x = 5x-84[/tex]
Then, subtract and 5x from both sides
[tex]-3x-5x = 5x-5x-84[/tex]
[tex]-8x = -84[/tex]
Now, divide both sides by -8
[tex]\frac{-8x}{-8}=\frac{-84}{-8}[/tex]
∴ [tex]x = 10.5[/tex]
From the diagram, we can observe that the length of AC is
AC = x +12 +x
Put the value of x into the above equation
That is,
AC = 10.5 + 12 + 10.5
∴ AC = 33
Hence, the length of AC is 33. The correct option is B) 33
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Juanita has saved 30% of the money that she needs to buy a new bicycle. If she has saved $42, how much money does the bicycle cost? The Bicycle costs?
Answer:
$140
Step-by-step explanation:
If $42 is the amount of 30% of the price of a bycicle, we can quickly find the total amount by dividing 42 by .3.
42/0.3 = 140
$140 is your final answer!
Hope this helps!
Find the sum of the given polynomials. 3x ^2 + 2x - 5 and -4 + 7x ^2
Answer:
[tex] 10 {x}^{2} + 2x - 9[/tex]
Step-by-step explanation:
[tex](3 {x}^{2} + 2x - 5) + ( - 4 + 7 {x}^{2}) \\ = 3 {x}^{2} + 2x - 5+ 7 {x}^{2} - 4 \\ = 3 {x}^{2} + 7 {x}^{2} + 2x - 5- 4 \\ = 10 {x}^{2} + 2x - 9[/tex]
Please Help Me Out! I'd Appreciate It So Much! TYSM!
A construction crew is lengthening a road. The road started with a length of 57 miles, and the crew is adding 4 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 36 days.
Equation: ?
Total Length of the road after 36 days: ?
Answer:
L = 57 + 4D
After 36 days, the length of the road will be 201 miles.
Step-by-step explanation:
L = 57 + 4(36)
L = 57 + 144
L = 201