Answer:
Tax: 1.23
Total: 15.63
Step-by-step explanation:
14.40 x .085 = 1.224
1.224 + 14.40 = 15.624
Round and you get about 15.63
Answer:
1.2
Step-by-step explanation:
X 2 +10x+22=13x, squared, plus, 10, x, plus, 22, equals, 13 1) Rewrite the equation by completing the square. Your equation should look like (x+c)^2=d(x+c) 2 =dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or (x-c)^2=d(x−c) 2 =dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d.
Answer:
(x + 5)^2 = (5 - 3)^2
Step-by-step explanation:
Given the equation;
x^2 + 10x + 22 = 13
We have;
x^2 + 10x = 13 - 22
x^2 + 10x = -9
Adding half of 10 to both sides and completing the square as usual, we have;
(x + 5)^2 = 5^2 + (-9)
(x + 5)^2 = (5 - 3)^2
The rewritten equation, after completing the square, is
(x - 3/2)² = -79/4.
To rewrite the equation x² + 10x + 22 = 13x as (x + c)² = d or (x - c)² = d, we need to complete the square on the left side of the equation.
Step 1: Move the constant term (22) to the right side of the equation:
x² + 10x = 13x - 22
Step 2: Move all terms involving x to the left side:
x² + 10x - 13x = -22
x² - 3x = -22
Step 3: Take half of the coefficient of x (-3) and square it.
To both sides of the equation, add the following value:
x² - 3x + (-3/2)² = -22 + (-3/2)²
Simplifying:
x² - 3x + 9/4 = -22 + 9/4
Step 4: Make the right side of the equation simpler:
-22 + 9/4 = -88/4 + 9/4 = -79/4
Step 5: The left side of the equation should now be written as a perfect square trinomial:
(x - 3/2)² = -79/4
Therefore, the rewritten equation, after completing the square, is
(x - 3/2)² = -79/4.
Learn more about Completing Square Method here:
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Find the value of X that makes m||n Two parallel lines, m and n intersected by a transversal line. A pair of alternate exterior angle are marked left-parenthesis 4 x plus 24 right-parenthesis degrees and 8 x degrees.
Answer:
6Step-by-step explanation:
Given a pair of alternate exterior angle of 4x + 24 and 8x, we are to find the value of x that will make m and n parallel.
Alternate exterior angles are equal, hence;
4x + 24 = 8x
24 = 8x - 4x
24 = 4x
Rearrange
4x = 24
Divide both sides by 4
4x/4 = 24/4
x = 6
Hence the value of x required is 6
Find the y-intercept of the following equation. Simplify your answer.
y = 4x +
2
5
y-intercept
=
Submit
Answer:
(0 , 25)
Step-by-step explanation:
y = 4x + 25 is our equation.
The formula used is y = mx + b where:
m = slope
x = independent variable
b = constant/y - intercept
Based on that knowledge we can tell that 25 is our y intercept.
Four years ago, Sam invested in Grath Oil. She bought three of its $1,000 par value bonds at a market price of 93.938 and with an annual coupon rate of 6.5%. She also bought 450 shares of Grath Oil stock at $44.11, which has paid an annual dividend of $3.10 for each of the last ten years. Today, Grath Oil bonds have a market rate of 98.866 and Grath Oil stock sells for $45.55 per share. Use the scenario above to consider which statement best describes the relative risk between investing in stocks and bonds.
Answer:
C. The market price of the bonds is more stable than the price of the company's stock.
Step-by-step explanation:
In the context, Sam bought some bonds at the market price from Grath Oil and also invested in buying corporate shares which paid a dividend of $3.10 for each share annually for a period of ten years.
At present the market value of the bonds of Grath Oil is more. The market price of the bond is the amount of the money to be paid in an open market to buy a bond.
So the bond's market price is much more stable than the price of the company's stock. It is riskier to invest in company stocks.
Answer:
ik you dont need it no mo but its c
Step-by-step explanation:
i just want the points
Help me Please
The boy scouts are selling popcorn for $25 a bag. They have already sold $525 worth and want to make at least $5750. Write an inequality to find the least number of bags of popcorn they need to sell to reach their goal. How many bags is that?
Answer:
B ≥ 209
Step-by-step explanation:
This is the equation - 25b + 525 ≥ 5750 .
Comment if I solved it incorrectly ;-;
im really bad at math, can anyone help?
Answer:
yeah sure
Step-by-step explanation:
Help please!Find the y-intercept of the line on the graph.
Enter the correct answer.
-4 - 2 (y + 1) = -7
step by step pla
Simplify the expression by combining like terms.
t + 8 + 3t
SHOW YOUR WORK: Use different colors to circle your like terms then use addition/subtraction to combine
them.
*Remember: Variable term goes FIRST!
Answer:
4t + 8
Step-by-step explanation:
t + 3t = 4t
4t + 8
Answer:
4t+8
Step-by-step explanation:
If you look at your equation t+8+3t you will notice how you have two t parts
part 1: t
part 2: 3t
Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.
Then you just put your 8 back on to the equation! 4t+8
Evaluate 9/m + 4 when m = 3
Answer:
Step-by-step explanation:
9/3 = 3
3+4 = 7
The answer is 7!
Answer:
7
Step-by-step explanation:
First, plug in m.
9/3+4
Because this equation has multiple operations, we need to use the order of operations, aka PEMDAS. It stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. First in the order of operations that we have in this equation is multiplication/division. So, we need to divide 9/3 before adding.
9/3=3
The equation is now simplified to 3+4, which is 7.
Hope this helps! Have a great day :D
6. Janet makes scarves to sell at the craft fair. Each scarf requires 2.5 yards of yarn. A. At the fabric store, yarn is sold by the foot. If Janet wants to make 84 scarves, how many feet of yarn must she buy?
Answer:
610 feet
Step-by-step explanation:
From the question :
1 scarf = 2.5 yards of yarn
84 scarves = x yards
Cross Multiply
1 scarf × x yards = 84 × 2.5 yards
x yards = 210 yards
Hence, 84 scarves require 210 yards
Converting yards to feet
1 yard = 3 feet
210 yards = x feet
x feet × 1 yard = 210 yards × 3 feet
x feet = 210 yards × 3 feet/1 yards
x feet = 610 feet
Hence, if Janet wants to make 84 scarves, she need to buy 610 feet of yarn
9.054 x 10^-6 in standard form
Required standard form is 0.000009054.
What is value of 9.054 x 10^-6 in standard form ?
Some examples of standard form of Mathematics,
Example -1:
[tex]0.5 \times {10}^{2} \\ = 0.5 \times 100 \\ = 50[/tex]
Example-2 :
[tex]0.254 \times {10}^{ - 2} \\ = \frac{0.254}{ {10}^{2} } \\ = \frac{0.254}{100} \\ = 0.00254[/tex]
Example-3 :
[tex]3.3548 \times {2}^{2} \\ = 3.3548 \times 2 \times 2 \\ = 13.4192[/tex]
Example -4 :
[tex]5.55 \times {3}^{2} \\ = 5.55 \times 3 \times 3 \\ = 48.95[/tex]
So,we can say that standard form means simplest form.
Here given,
[tex]9.054 \times {10}^{ - 6} \\ = 9.054 \times \frac{1}{ {10}^{6} } \\ = \frac{9.054}{1000000} \\ = 0.000009054[/tex]
Standard form related two more questions:
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Find the area of the rectangle with the given base and height.
Answer:
11. 720 in.^2 12.67.5 ft^2 13. 3.9m^2
Step-by-step explanation:
I need help ASAP please. (Ill give 15 points if you help!)
Alisha used the Given table to find the slope of a linear relationship . Find her Error and correct it :
Alisha's Answer:
The Slope ( m ) = 6
Answer:
Please mark me as a brainlist.............
Thank you.....
Answer:
Alisha might have not taken respective input values with the output values and the correct slope is 3.
Step-by-step explanation:
The general form of a linear relationship is given by the equation
[tex]y = mx+b[/tex]
Here m is the rate of change of the linear relationship which is calculated as:
[tex]m = \frac{change\ in\ y}{change\ in\ x}[/tex]
Change in y is given by the difference of two outputs and x is given by difference of two inputs
So taking the set of outputs and inputs
(1,2) and (2,5)
[tex]m = \frac{5-2}{2-1}\\m = \frac{3}{1}\\m = 3[/tex]
Alisha might have not taken respective input values with the output values and the correct slope is 3.
Plz help very important question
9514 1404 393
Answer:
g(2a) = 8a
Step-by-step explanation:
Put the argument where the variable is and simplify.
g(a) = 4a
g(2a) = 4(2a) = 8a
g(2a) = 8a
Find the area of a square with a side that measures 2.2 centimeters.
Answer:
4.84cm squared
Step-by-step explanation:
square has 4 equal sides area = l x w l and w are 2.2*2.2
2.2*2
4.84cm squared
Hope this helps :D
Answer:4.84 cm^2
Step-by-step explanation:
Area = Length x Width
Area = 2.2 x 2.2
Area = 4.84 cm^2 (centimeters squared)
PLEASE PLEASE HELP WILL GIVE A LOT OF POINTS!
Answer:
X-intercept- ( 3/7,0)
Y-intercept- (0,-3)
Step-by-step explanation:
To find the y-intercept(s), substitute in 0 for x and slove for y
y=7(0)-3
simplify y=-3
to find the x-intercept(s), substitute in 0 for y and slove for X
0=7x-3
rewrite equation- 7x-3=0 and slove
which would equal 3/7
Find the measure of the arc indicated. The lines are tangent
Answer:
w
Step-by-step explanation:
-3=12y-5(2y-7). Solve for y
Answer:
y = -19
Step-by-step explanation:
-3 = 12y -5(2y - 7)
distribute -5 to (2y -7)
-3 = 12y - 10y + 35
subtract 35 from both sides and simplify
-38 = 2y
divide both sides by 2 to isolate y
-19 = y
3 mi
4 mi
What is the length of the hypotenuse?
miles
Submit
Sam wrote down the counting numbers from 12 to 11 (including)
a) How many natural numbers did she write?
b) how many digits?
c) what is the sum of all the digits?
Answer:
Whereby the counting numbers Sam wrote down are 12 and 11, we have;
a) The number of natural numbers = 2
b) The number of digits = 4
c) The sum of the digits is 5
Step-by-step explanation:
The natural numbers are also known as the counting numbers or the ordering numbers and includes positive whole numbers from 1 and above
b) A digit is a number from 0 to 9, which can be used singly or combined to form a number
There are two digits each in 12 and 11, therefore, there are a total of 4 digits in both numbers
c) The sum of all the digits is given as follows;
The sum of the digits = 1 + 2 + 1 + 1 = 5.
describe the slope of the line passing through points A(-2,3) and B(4,-3)
Answer:
0/2 is ZERO is positive
Step-by-step explanation:
The science club went on a two-day field trip. On the first day, the members paid $60 for transportation plus $15 per ticket to the planetarium. On the second day, they paid $95 for transportation plus $12 per ticket to the geology museum. Write an expression to represent the cost for two days for the "n" members of the club.
Answer:
Total cost for two days for the n members of the club = 155 + 27 n
Step-by-step explanation:
Answer:
155
60+95=155. you have to take day one and add day 2 and there is your answer
find the square of ( b - 9 )
Answer:
[tex] {b}^{2} - 18b + 81[/tex]
Step-by-step explanation:
[tex] {(b - 9)}^{2} = {b}^{2} - 2 \times b \times 9 + {(9)}^{2} \\ = {b}^{2} - 18b + 81[/tex]
what is the value for both of these ? need help asap
Answer:
Question 3) x=32
Question 4) x=30
Step-by-step explanation:
180-122=58
180-58-90=32
180-130-20=30
through: (0,3), slope = -8
Answer:
y = - 8x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 8 and (0, 3) → c = 3
y = - 8x + 3 ← equation of line
PLS HELP ME?? The blue dot is what value on the number line?
Answer:
-3
Step-by-step explanation:
since it is a gap of 6 the first one gave ...so 3-6=-3
ILL MARK U BRAINLIEST!!!
Answer:
8.50x + 55 = 123
8.5x = 68
x = 8
She rented the bicycle for 8 days
Answer:
8 days
I've attached a photo, hopefully it helps :)
ANSWER PLEASE! WILL GIVE BRAINLIEST!! You walk quickly to your friend’s house, which is half of the way between your house and the school. You wait a few minutes for your friend to get ready. You then walk slowly with your friend the rest of the way to school. Which of the graphs matches this situation?
Answer: down
Step-by-step explanation:
I would say A.
Answer:
I would say B since A hasn’t worked for everyone else.
Step-by-step explanation:
A football is punted and follows a path from the line of scrimmage similar to the quadratic equation: y= -¹⁄₂₀ (x-25)² + 30 where x is the horizontal distance in yards and y is the height in yards. How far will the ball travel horizontally when it hits the ground after being punted?
A) 60 yards
B) 25 yards
C) 49.495 yards
D) .505 yards