Answer:
1. a. 2,000
2. b. 10 years
3. a. 6.72937
4. d. 9%
Step-by-step explanation:
1. If 58% are boys, the percentage of girls is:
= 100 - 58
= 42%
That means 840 is 42% of the students in class. The students in class are therefore:
= 840 / 42%
= 2,000 students
2. If Birr 300 is invested at 6% per year, the amount in interest it earns per year is:
= 300 * 6%
= Birr 18
To get to Birr 180, it would take:
= 180/18
= 10 years
3. When a number is in percentage that means that it is a fraction with the denominator being 100. The number is decimal will therefore be it divided by 100:
= 672.937/100
= 6.72937
4. The investment accrued Birr 12 out of Birr 400 in 4 months. This means that it increased by:
= 12/400
= 3%
A year can be divided into three by 4 months. This means that the yearly rate is therefore:
= 3% * 3
= 9%
Divide: 15m^2n + 20mn/5mn
6 pounds of candy cost $22.44 how much does it cost of 10 pounds
Answer:
10 pound=$37.4
Step-by-step explanation:
$22.44 divide by 6 = one pound $3.74
$3.74*10= $37.4
You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for TOTAL DEDUCTIONS for this pay period was $
Blank.
Answer:
18.135
Step-by-step explanation:
30*9.75=292.5
6.2%*292.5=18.135
Determine the number of zeros of the polynomial function f(x)= x^8-x^9
Step-by-step explanation:
Determine if odd, even, or neither.
The function is neither even nor odd
Answer:
9
Step-by-step explanation:
The highest power of x is 9: x^9
and therefore this polynomial will have 9 zeros.
help please! area of rectangles and squares.
Answer:
2x squared + 25
Step-by-step explanation:
Step-by-step explanation:
area of rectangle
height×base
(2x-5)(2x-2)=
=4x^2-4x-10x+10
=4x^2-14x+10
(we get quadratic equation)
a=4 b=-14 c=10
firat find discriminant with formula:
D=b^2-4ac(-14)^2-(4×4×10)=196-160=36
now find x1 and x2 with formula:
X=(-b±√D)/2a
x1=(14+√36)/8=20/8=2.5
x2=(14-√36)/8=8/8=1
lets put values :
if we put x2 value as a base, which is 1 in given height and base, we will get 2(1)-2=0. measure of amy side can't be 0.
and if we put x2 in height, it will give us zero.
so no matter which one we put as value. we will get 0cm^2. so i think it cant be detected. im sorry if im wrong
Suppose that you bought a new car at a price of $27,600.
According to research on this make and model, similar cars
have straight line depreciated to o value after 12 years. How
much will your car be worth after 9 years?
c. What is the equation of the line?
A. y = 2300x + 27600
B.y=-2300x + 27600
C.y= -2300(9) + 27600
D.26700-12 = y
Answer:
b
Step-by-step explanation:
because its minus
i think
SOMEONE HELP ME PLSS !
Identifying the Graph of an Inequality
Which is the graph of 4x + 2y < 3?
y
4
TY
NA
2
2
2
21
x
41
2
4
-4-2
2.
4
-4
2.
4
2
4
-2
-2
x
Answer:
The point-slope form of the equation of a line is ...
y -h = m(x -k)
for a line with slope m through point (h, k).
Comparing this to the given equation, you see that ...
h = -2, m = 1, k = -4
The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.
__
You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.
y = x +2
This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.
The graph of 4x + 2y < 3 is the region below the line 4x + 2y = 3.
The graph is given below.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
The graph of 4x + 2y < 3 is the region in the coordinate plane that satisfies the inequality.
To graph this inequality, we can start by graphing the line 4x + 2y = 3.
This line has a slope of -2 (because it can be written in the form
y = (-2x/1) + (3/2)), and a y-intercept of (0, 3/2).
We can plot this point on the y-axis and use the slope to find other points on the line.
For example, if we move one unit to the right from the y-intercept, we will move down two units (since the slope is -2), giving us the point (1, 1/2). Similarly, if we move one unit to the left from the y-intercept, we will move up two units, giving us the point (-1, 5/2).
We can connect these points to graph the line.
Therefore,
The graph of 4x + 2y < 3 is the region below the line 4x + 2y = 3.
Learn more about inequalities here:
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Rewrite in simplest terms: -3(-10d+8)+3d−3(−10d+8)+3d
The ratio of almond pieces to
cranberry pieces in a salad is 3 to 4.
If there is a total of 28 pieces in
salad, how many are almond pieces
and how many are cranberry
pieces?
37 dimes, 23 quarters.
Answer: 12 almond pieces and 16 cranberry pieces
Step-by-step explanation:
find the area of this parallelogram. be sure to include the correct unit in your answer
Answer:
84ft
Step-by-step explanation:
The formula to find the area of a parallelogram is b x h.
The base is 14ft and the height is 6ft. Multiply these together.
14 x 6 = 84ft
Does anyone the the answer for this ?:)
Answer:
69.08
Step-by-step explanation:
C=2πr
Brainly plss
What is the minimum value of the function g (2) = x2 - 6x – 12?
-21
3+ V21
3
3-21
Answer:
g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12?
Step-by-step explanation:
Answer:
minimum value is -21; ordered pair of min value is (3, -21)
Step-by-step explanation:
graph the function and find the lowest point on the curve
If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point
(2,5)
(-5, -2)
(2,-5)
(-2,5)
Answer:
the second one
Step-by-step explanation:
Question 4
10 pts
Question 6
Question 7
Question 8
What is the length of line segment DK to the nearest tenth of an inch?
Time Running Hide
1 Hour, 26 Minutes, 25 Sec
16 in
430
D
O 10.9 in
0 21.9 in
O 23.5 in.
O 11.7 in.
« Previous
Next
Answer:
C = 23.5 in
Step-by-step explanation:
θ = 43°
The length of the side opposite to θ = 16 in.
Hypotenuse = DK
Apply trigonometric ratio, thus:
sin(θ) = opp/hyp
Plug in the values
sin 43 = 16/DK
Multiply both sides by DK
DK*sin 43 = 16
Divide both sides by sin 43
DK = 16/sin 43
DK = 23.5 (nearest tenth of an inch)
someone please help me this is really confusing
Answer:
Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
Step-by-step explanation:
Image 1:
We need to Find area of trapezoid.
The formula used is: [tex]Area=\frac{1}{2}h(b_1+b_2)[/tex]
where h is height and b₁ and b₂ are parallel sides.
Looking at the figure we get:
h = 2xy
b₁ = 4x²y
b₂ = 7x²y
Putting values and finding area:
[tex]Area=\frac{1}{2}h(b_1+b_2)\\Area=\frac{1}{2}\times 2xy(7x^2y+4x^2y)\\Area=\frac{1}{2}\times 2xy(11x^2y)\\Area=\frac{1}{2}\times 22x^3y^2\\Area=11x^3y^2[/tex]
So, Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Image 2:
We need to find area and perimeter of triangle.
First we will find area of triangle.
The formula used is: [tex]Area=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height
Looking at the figure,
b = 3ab
h = 4a²b
Finding area:
[tex]Area=\frac{1}{2}\times b \times h\\Area=\frac{1}{2}\times 3ab \times 4a^2b\\Area=\frac{1}{2}\times 12a^3b^2\\Area=6a^3b^2[/tex]
So, Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Now, finding Perimeter of triangle
The formula used is: [tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle[/tex]
Looking at figure:
Length of side 1 = 3ab
Length of side 2 = 4a²b
Length of side 3 = 10a²b
Finding Perimeter
[tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\\Perimeter = 3ab+10a^2b+4a^2b\\Perimeter=3ab+14a^2b[/tex]
So, Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
12. UZ, VX, and TW are medians of Triangle TUV. If YX = 8, find VY.
Answer:
VY = 16
Step-by-step explanation:
The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertex.In the given figure
∵ TUV is a triangle
∵ UZ, VX, and TW are medians
∵ UZ ∩ VX ∩ TW at point Y
∴ Y is the point of intersection of the 3 medians
→ By using the 2nd rule above
∵ The point Y divide VX at the ratio of 2: 1 from the vertex V
∴ VY: YX = 2: 1
∴ [tex]\frac{VY}{YX}[/tex] = [tex]\frac{2}{1}[/tex]
→ By using cross multiplication
∵ VY × 1 = YX × 2
∴ VY = 2YX
∵ YX = 8
∴ VY = 2(8)
∴ VY = 16
How do you calculate pi? answer quick and u will get brainiest
Answer:
Make sure you are using a perfect circle.
Measure the circumference of a circle as accurately as you can.
Measure the diameter of the circle.
Use the formula.
For more accurate results, repeat this process with several different circles, and then average the results.
Step-by-step explanation:
Answer:
3.14
Step-by-step explanation:
You calculate anything times 3.14
Find the reflection of the following point over the y-axis: (7, -3)
Answer:
(-7,-3)
Step-by-step explanation:
You keep the -3 since that is the y but the x will become negative because you are reflecting to the left and not the right, making the x then negative.
Answer: (-7,-3)
Step-by-step explanation:
The point (7,-3) is located in the fourth quadrant mean that if you reflect the point across the y a-xis, it should end up in the third quadrant.
If you flip a point over the y axis, the x coordinate switches.
(7,-3) ⇒ (-7,-3)
Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If
Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to
drive before running out of gas?
Answer:
140 miles
Step-by-step explanation:
10/2.5=44 gallons + 1 gallon= 5 gallons28 miles per gallon28*5 or 28+28+28+28+28=140
PLS HELP MEEEEEEEEEE :(
Answer: c
Step-by-step explanation:
- The new apartment you ałe about to sign a one-year lease on is $1,500 per month. The lease
requires you to put up first month's rent and a $750 security deposit to move in. In addition,
keeping your cat will cost an additional $300 for a pet deposit. How much do you need to write a
check for to the landlord at the time of move in?
Answer:
Total amount = $2550
Step-by-step explanation:
To move in the apartment payments to be done,
1). First month rent = $1500
2). Security deposit = $750
3). Pet deposit = $300
Total payment to be done = 1500 + 750 + 300
= $2550
Therefore, total amount to be paid = $2550
I will write a check of $2550.
What is the solution to the equation 3x+2--x-5?
0 X=-B
x=-7
OX= 7
O X=8
Answer:
it x=-8 do it
Step-by-step explanation:
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Complete question :
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Set up an equation such that Tn represents the total amount Simon still owes after n months.
Calculate the amount Simon still owes at the end of one year after his purchase.
Answer:
Tn = 2900 - 180(n - 1)
Tn = $920
Step-by-step explanation:
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Hence,
Tn = 2900 - 180(n - 1)
Amount owed at the end of one year after purchase :
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is :
Tn = 2900 - 180(n - 1)
Tn = $920
"To understand the calculation, check below."
InterestWhat all information we have ?
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Tn = 2900 - 180(n - 1)
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is Tn = $920.
Learn more about "Interest":
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For the trinomial x^2-11x+10 determine if the factors of c will will be both positive, both negative, or opposite signs.
Answer:
Two negatives
Step-by-step explanation:
I'm assuming by 'factors of c' you mean factors of the last term. For the entire trinomial, we know that there are two negative signs. To be able to get a negative 11x and then a positive 10, we would need two negatives, since two negatives equal a positive. Hope that helps!
giving out brainlist and extra points ♥️
Answer:
Pretttyyy sureeee
Y=-1/4x+5
Y=3x-8
Step-by-step explanation:
b ^ 2 - 4b - 14 = 0
A manufacturing plant is capable of producing 10 tons of product per day when it runs three shifts with no breakdowns and plenty of raw materials. Over the past week, the plant has produced an average of 7.3 tons per day because the third shift has devoted much of their time to preventive maintenance. What is the utilization of the plant?
Answer: 73%
Step-by-step explanation:
The plant is capable of producing 10 tons of product in one day.
Currently however, it is only able to produce 7.3 tons per day.
Utilization is therefore:
= Actual production/ Potential production * 100
= 7.3/10 * 100
= 73%
Mario's plumbing service
Charges $40 to make a house
Call plus $25 an hour.
y=40+25h
Fill in the chart
Answer:
So, hour 0 and charge is 0. hour 1 is 25, hour 2 is 50, hour 3 is 75, hour 4 is 100 and hour 5 is 125
Step-by-step explanation:
For every hour, add 25 in each box.
Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period. If Kelly sold 15 less tickets than Shelby over the last 3 years, how many did Kelly sell each year on average?
Answer: 20 tickets
Step-by-step explanation:
From the question, we are informed that Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period while Kelly sold 15 less tickets than Shelby. This means that the number of tickets sold by Kelly is:
= 75 - 15
= 60 tickets
The number of tickets sold by Kelly each year on average will be:
= Number of tickets sold / Number of years.
= 60/3.
= 20 tickets
over the last 3 years
