Answer:
It's 21m the third one
Step-by-step explanation:
if it is given that "x" is 23.5 - proof that it is a point of intersection at y= 1/2(x) - 25 if y is equal to 11. been trying but not working out.
When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.
Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.
The equation is given as y = 1/2(x) - 25
When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25
This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)
On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.
Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.
In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).
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individual health insurance is usually less expensive than group health insurance
true or false?
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
help pls ill mark brainliest!!!!!!!!!!!!!!!!!
Any points that are less than 6. So 5, 4, 3, 2, etc.
Answer:
He could've sent 5, 4, 3, or 2 postcards
Step-by-step explanation:
Percentages
Your favorite store is having a sale. You run across a shirt that originally sold for $47, but
is on a -40% Off" rack. A pair of jeans that originally
sold for $60 is advertised for "30%
Off". Your eye is attracted to a pair of designer shoes on sale for $35. You decide to
purchase the shirt, jeans, and shoes.
1) What is the sale price of the shirt?
What is the sale price of
the jeans?
2) What is the subtotal of the shirt, jeans, and the shoes?
3) You discover a coupon for 25% off the purchase price and give it to the cashier. With
the 25% off coupon what is the pre-tax cost of your purchase?
4) If the sales tax on your purchase is 5%, what is the total amount you are charged?
5) Your credit card has a monthly interest rate of 2% and a minimum payment of $10. You
make the minimum payment every month. Fill in the chart below until you pay off your
purchase.
Payment
Balance
$10.00
New Balance
Interest
Remaining
Balance
Month
1
2
3
4
5
6
7
8
9
10
Answer:
1) Shirt = $28.20 Jeans = $42
2) subtotal = $105.20
3) with the discount from the coupon, the pre-tax cost is $83.90
4) about $ 88.10 (actual answer was $88.095)
5) i have no clue bro, im sorry
Step-by-step explanation:
The sale price of the shirt is \(\$28.20\) The sale price of the jeans \(\$42.00\) Subtotal is \(\$\)105.20 Pre-tax cost \(\$78.90\) The total amount charged with 5% sales tax is \(\$42.00\)
The sale price of the shirt:
Given -The original price of the shirt is $47, and it is on a "40% Off" sale. To find the sale price, we can calculate \(40\% of \$47\)and subtract it from the original price:
The sale price of the shirt = \(\$47 - (40\% \times\$47)\)
The sale price of the shirt =\(\$47 - (\$18.80)\)
The sale price of the shirt =\(\$28.20\)
The sale price of the jeans:
Given =The original price of the jeans is $60, and it is advertised as "30% Off." Similar to the shirt, we can calculate the sale price of the jeans:
The sale price of the jeans =\(\$60 - (30\% \times\$60)\)
The sale price of the jeans =\(\$60 - (\$18.00)\)
The sale price of the jeans = \(\$42.00\)
Subtotal of the shirt, jeans, and shoes:
Subtotal = Sale price of the shirt + Sale price of the jeans + Sale price of the shoes
Subtotal = \(\$\)28.20 + \(\$\)42.00 +\(\$\)35.00
Subtotal =\(\$\)105.20
The pre-tax cost of your purchase with the\(25\%\) off coupon:
The 25% off coupon is applied to the subtotal. We calculate 25% of the subtotal and subtract it from the subtotal to find the pre-tax cost:
Pre-tax cost = Subtotal -\((25\% \times Subtotal)\)
Pre-tax cost = \(\$105.20 - (25\% \times \$105.20)\\\)
Pre-tax cost =\(\$105.20 - (\$26.30)\)
Pre-tax cost = \(\$78.90\)
The total amount charged with 5% sales tax:
To calculate the total amount charged, we need to add the sales tax to the pre-tax cost:
Sales tax = \(5\% \times Pre-tax cost\)
The Total amount charged = Pre-tax cost + Sales tax
The Total amount charged =\(\$78.90 + (5\% \times \$78.90)\)
The total amount charged = \(\$78.90 + \$3.94\)
The total amount charged =\(\$82.84\)
The credit card payments for months are;
Payment | Balance | New Balance | Interest | Remaining Balance
Month 1 | $10.00 | $72.84 | $1.46 | $71.46
Month 2 | $10.00 | $61.46 | $1.23 | $60.69
Month 3 | $10.00 | $50.69 | $1.01 | $49.70
Month 4 | $10.00 | $39.70 | $0.79 | $38.49
Month 5 | $10.00 | $28.49 | $0.57 | $27.06
Month 6 | $10.00 | $17.06 | $0.34 | $16.40
Month 7 | $10.00 | $6.40 | $0.13 | $6.53
Month 8 | $6.53 | $0.00 | $0.00 | $0.00
The remaining balance is paid off in full by the 8th month, and the interest is calculated based on the remaining balance each month.
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----- is 10 times as much as 53
Answer:
I think it's right answer is 530
Polly’s Plumbing Service charges a consultation fee of $50 to come to your home and diagnose the plumbing problem, plus $25 per hour labor. Jenny only has $250. How many hours of plumbing service can Jenny afford with her budget? Write an equation to find the number of hours Jenny can afford.
From the given charges , required equation to find the number of hours afford by Jenny is 250 = 50 + 25h and the number of hours Jenny can afford is 8 hours.
As given in the question,
Let 'h' be the number of hours Jenny can afford.
Jenny's budget amount = $250
Service charges of consultation fees = $50
Per hour labor charges = $25
For the 'h' hours of service and with the budget of $250 ,
Required equation is :
250 = 50 + 25h
Simplify the equation to get number of hours
Subtract 50 from both the sides
250 -50 = 50 -50 +25h
⇒ 200 = 25h
⇒ h = 200/25
⇒ h =8 hours
Therefore, from the given charges , required equation to find the number of hours afford by Jenny is 250 = 50 + 25h and the number of hours Jenny can afford is 8 hours.
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(08.03|08.04 HC)
For the regions A and B shown in the graph:
Part A: Discuss the limits of integration. (3 points)
Part B: Set up an integral expression that represents the total area. (4 points)
Part C: Calculate the total area. (3 points)
The total area from the graph is 2.737.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
First of all, lets calculate the points of intersection (P, Q, R)
x²+3=(x+2) +5
x²-2=√(x+2)
x⁴+4-4x²=x+2
x⁴-4x²-x+2=0
(x-2)(x³+2x²-1)=0
(x-2)(x+1)(x²+x-1)=0
x=2, -1, -1±√(1+4)/2
Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2
So the limit of integration will be
P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))
Q(-1, (-1)²+3)=Q(-1, 4)
Area A:
\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)
= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)
= 2.07
Area B:
\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)
= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)
= 0.667
Total area = 2.07+0.667
= 2.737
Therefore, the total area from the graph is 2.737.
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woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost N5.40 and the meat cost #6.40. If she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay?
The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
What is the unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service
Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,
We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,
To find the same, we will first find the unit price of each,
Unit price = total price / total quantity
Since, 1.8 kg of chicken costs $5.40,
Therefore, 1 kg will cost = 5.40 / 1.8 = $3
Similarly,
If 1.6 kg of meat costs $6.40,
Therefore, 1 kg will cost = 6.40 / 1.6 = $4
Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,
Therefore,
2.4 kg of chicken will cost = 2.4 x 3 = $7.2
2 kg of meat will cost = 2 x 4 = $8
In total, she had to pay = 8+7.2 = $15.2
Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
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Renee placed some holiday gifts in layaway. The combined price of the items was $318.95. The store charges a 5% layaway fee and requires a 10% down payment. She must pay 15% of the item price each week for six weeks. Determine the layaway fee, down payment, and amount of Renee's weekly payments.
Renee’s layaway fee is $15.95, her down payment is $31.90, and her weekly payments are $7.98 each.
We are given that;
Combined price of the items = $318.95
Layaway fee=5%
Down payment=10%
Now,
A percentage is a minimum number or ratio that is measured by a fraction of 100.
The layaway fee by multiplying the item price by 5%. The formula is: layaway fee=item price×0.05
The down payment by multiplying the item price by 10%. The formula is: down payment=item price×0.1
Calculate the weekly payment by multiplying the item price by 15% and dividing it by 6. The formula is: weekly payment=6item price×0.15
Plugging in the given values and simplify the expressions. Here are the calculations:
layaway fee=318.95×0.05=15.95
down payment=318.95×0.1=31.90
weekly payment=6318.95×0.15=7.98
Therefore, by percentage the answer will be $15.95, $31.90, and $7.98
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HELP PLEASE I WILL GIVE YOU BRAINLIEST!!!
pls help me with this question
Answer: 512 ft^2, 720 ft^2
Step-by-step explanation:
Answer:
Step-by-step explanation:
(a) The area formula for a rectangle is Length x Width.
For this case, the Area = (32 ft)x(16 ft) = 512 ft^2
(b) To find the area of just the deck, we need to find the area of the larger rectangle as a whole, then subtract out the area of the smaller rectangle inside. This will give us the area of just the shaded deck portion.
Area (of the bigger rectangle) = LengthxWidth = (28)x(44) = 1,232 ft^2
Now, to find just the shaded section, (1232 ft^2) - (512 ft^2) = 720 ft^2
solve for 4/5 x ( -2/9 )
Answer:
-8/45
Step-by-step explanation:
4/5 * -2/9
Multiply the numerators
4*-2 = -8
Multiply the denominators
5*9 = 45
numerator over denominator
-8/45
Choose the graph of y=5|x|+2
Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| + 3 > 3
The correct graph of the inequality ( |x| + 3 > 3) is attached accordingly.
Here is how the above was solvedRecall that the absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5.
A number's absolute value can be conceived of as its distance from zero along the real number line.
So, given |x| + 3 > 3
Add minus three to both sides
|x| + 3 + (-3) > 3 + (-3)
|x| > 0
Thus, the absolute value of x is
x > 0 or x < -0
put in the form of inequality, we have
x > 0 or x < 0
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Lisa bought 4/8 pound of trail mix. She gives 2/8 pound of trail mix to Michael. How much trail mix does Liza have left?
NEED HELP WITH FUNCTIONS HW
The possible exact values of the trigonometric functions of θ are:
sin θ = -1/√3, cos θ = √3/3, sec θ = √3
What is law sines?The law of sines, also known as the sine rule, is a mathematical principle that relates the sides and angles of a triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is constant for all three sides of the triangle.
Trigonometric functions are mathematical functions that relate angles to the ratios of the sides of a right triangle. The six primary trigonometric functions are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). Each function represents a different ratio of two sides of a right triangle and can be used to solve problems in geometry, physics, engineering, and other fields that involve angles and triangles.
According to the given information,
Given that tan θ = -√(1/3) and 0 < θ < 180°, we can use the trigonometric identities to find the values of the other trigonometric functions of θ.
First, we can use the definition of the tangent function:
tan θ = opposite/adjacent
Since tan θ = -√(1/3), we can assign opposite = -1 and adjacent = √3 as their ratio equals -√(1/3). This means that the terminal side of the angle θ will lie in the fourth quadrant of the unit circle since the opposite is negative and the adjacent is positive.
Next, we can use the Pythagorean identity:
sin²θ + cos²θ = 1
to find the value of sin θ. Since we know that θ is in the fourth quadrant, we can assign sin θ = -1/√3, since sin θ is negative in the fourth quadrant and the ratio of opposite/hypotenuse of a 30-60-90 triangle is √3/2, which means the ratio of hypotenuse/opposite is 2/√3 = √3/3.
Then, we can use the definition of the cosine function:
cos θ = adjacent/hypotenuse
to find the value of cos θ. We know that adjacent = √3 and the hypotenuse is positive (since it is a length), so we can assign cos θ = √3/3.
Finally, we can use the reciprocal identity:
sec θ = 1/cos θ
to find the value of sec θ. We know that cos θ = √3/3, so we can assign sec θ = √3.
Therefore, the possible exact values of the trigonometric functions of θ are:
sin θ = -1/√3
cos θ = √3/3
tan θ = -√(1/3)
sec θ = √3
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Question 8
A ship sets sail from a harbour.
After some time, the ship's position is (4ln 3) km east of the harbour and (31n 3) km
north of the harbour.
Find the direct distance between the ship and the harbour at this time giving your
answer in the form (pln 3) km.
Direct distance between the ship and the harbour would be, 5ln3 km.
What is Pythagorean Theorem?
The Pythagorean Theorem is an important mathematical theorem used to calculate the length of the sides of a right triangle. It states that the square of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the other two sides. In equation form, it can be expressed as a2 + b2 = c2, where a and b are the lengths of the two shorter sides, and c is the length of the hypotenuse. Although the theorem was proven by the ancient Greek mathematician Pythagoras, it is still widely used today in mathematics and engineering. It is used to calculate the length of any side of a right triangle as long as the lengths of the other two sides are known. It also has numerous applications in engineering and physics, including the calculation of forces in bridges, navigation problems, and the design of airplanes. It is also used in trigonometry to calculate angles and is a key tool in calculus.
According to Pythagorean Theorem,
\((AC)^{2} = (AB)^{2} +(BC)^{2}\\\\(AC)^{2} = (4ln3)^{2} + (3ln3)^{2} \\\\(AC) \ = \sqrt{(25ln3)^{2}} \\\\(AC) \ = 5ln3\)
Hence, direct distance between the ship and the harbour would be, 5ln3 km.
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Can someone please help me? I already done the first two just confused on the last part please explain when u answer thx peeps brainliest :)
Answer:
c.
\( - 1 < - 0.25 < 0 < 0.5 < 1.5\)
pls answer asap...............
Definition of the given word :
1.
Point: A point in geometry is a location. It has no size i.e. no width, no length, and no depth. A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions
2.
Line:
In geometry, a line is a straight one-dimensional figure that does not have a thickness, and it extends endlessly in both directions. Diagram A represents a line. It does not have any endpoint. The two arrows at each end signify that the line extends endlessly and is unending in both directions
3.
Plane: A flat surface made up of points that extend indefinitely in all directions.
4.
Colinear: A set of points that all lie on the same line is said to be
5.
Coplanar: Point lies on the same plane
6.
Line Segment: A measurable part of a line consisting of two endpoints.
7.
Ray: The line that extends indefinitely in one direction.
8.
Angle: A intersection of two rays at a common endpoint
9.
Adjacent Angles: two angles shared a common vertex and side
10.
Vertical Angle :
Vertical angles are a pair of opposite angles formed by intersecting lines
11.
Complementary: Two angles with the sum of 90 degree
12.
Supplementary:
When the sum of the measure of two angles is equal to 180 degrees, they are called supplementary angles. For example, 70 degrees and 110 degrees are supplementary.
13.
Linear pair :
Linear pairs of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.
14.
Perpendicular: Two lines intersected on 90 degree
15.
Bisector: A-line, Ray and segment which divide the angle or segment into two equal parts.
Diagram answer
1
Ans: E&F
2.
Ans: Ray
3.
Ans: X point
4.
Ans:Y & W
Diagram answer :
5.
Ans: 6 plane
6.
Ans: PQSR
7.
Ans: PQSR
8.
Ans: M
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Definition of the given word :
1. Geometrically speaking, a point is a place. It is completely empty, meaning it has no width, length, or depth. A dot indicates a point. A line is described as a group of points that stretches in both directions indefinitely.
2. Line: A line is a straight, one-dimensional figure in geometry that is infinitely long in both directions and has no thickness. Illustration A shows a line. There is no endpoint to it. The line has two arrows at each end, indicating that it goes on forever and never terminates in either direction.
3. A flat surface made up of points that can be traced out in all directions is called a plane.
4. A group of points that are all along the same line are referred to as Colinear points.
5. Point is coplanar if it is on the same plane.
6. A line segment is a quantifiable section of a line with two endpoints.
7. Ray: The line that goes on forever in a single direction.
8. Angle: The point at which two rays intersect.
9. A common vertex and side were shared by two adjacent angles.
10. Horizontal Angle:
A vertical angle is a pair of opposing angles created when two lines cross.
11. Two angles with a total of 90 degrees are complementary.
12. Supplementary:
Two angles are referred to as supplementary angles when the sum of their measures is 180 degrees. For instance, 70 degrees and 110 degrees complement one another.
13. Linear couple:
When two lines cross at a single location, linear pairs of angles are created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.
14. Perpendicular: A 90-degree intersection of two lines
15. A-line, Ray, and segment known as a "bisector" that divides an angle or segment into two equally sized pieces.
Diagram answer
1. Ans: E&F
2. Ans: Ray
3. Ans: X point
4. Ans: Y & W
Diagram answer :
5. Ans: 6 plane
6. Ans: PQSR
7. Ans: PQSR
8. Ans: M
Given m||n, find the value of x
Answer:
The answer is 104 degrees.
Step-by-step explanation:
M is equivalent to N, which means x is also 104 degrees.
Find the sum of the product (x-2) (2x+3) using any method
Since both of the factors are binomials, FOIL Method may be used.
Product of the First terms: (x)(2x)= 2x²
Product of the Outer terms: (x)(3)= 3x
Product of the Inner terms: (-2)(2x)= -4x
Product of the Last terms: (-2)(3)= -6
Since the product of the outer and the inner terms are like terms, we may add the two products.
\(3x+(-4x)=-x\)Thus, combining all terms in one expression would be as follows.
\(\begin{gathered} (x-2)(2x+3)=2x^2+3x-4x-6 \\ (x-2)(2x+3)=2x^2-x-6 \end{gathered}\)In 2012, James Cameron descended to the bottom of Challenger Deep in the Marianas Trench; the deepest point in the ocean. The vessel he rode in was called DeepSea Challenger. Challenger Deep is 35,814 feet deep at its lowest point A. DeepSea Challenger's descent was a change in depth of (-4) feet per second. We can use the equation y = -4x to model this relationship, where y is the depth and x is the time in seconds that have passed. B. How many seconds does this model suggest it would take for DeepSea Challenger to reach the bottom?
Linear Modeling
The equation y = -4x can be used to model the change in depth of the descent of the DeepSea Challenger, where y is the depth in feet and x is the time in seconds.
For example, for x=10 seconds, the vessel had traveled y= -4*10 = -40 feet.
The bottom of Challenger Deep in the Marianas Trench is 35,814 feet deep at its lowest point.
If we use the model, we can find the value of x when y= -35,814 feet
-35,814 =-4x
Dividing by 4:
x = -35,814/ (-4)
x = 8,953.5 seconds
The model suggests the DeepSea Challenger took almost 9,000 seconds to reach the bottom
The figure is cut into 15 equal pieces. Shade 2/5 of the figure
Answer: Shade 6 pieces
Step-by-step explanation:
Because 2/5 of 15 is 6
Alaina went to the pet store to buy fish for her new 14-gallon fish tank. Each large fish costs $8 and requires 2 gallons
of water. Each small fish costs $3 and requires 0.5 gallon of water. She has $70 to spend on fish at the pet store. Circle
the combination of large and small fish can Alaina purchase for her fish tank?
Answer:
Small fish= 7
Big fish= 21/4 (so she'll get 5 big fish)
Step-by-step explanation:
With the problem, there are two equations, one for the cost, and one for the amount of water. For the first equation, Alaina can spend 70 dollars and the fish cost 8 and 3 dollars so the equation is 70=8b+4s (s for small and b for big). Then for the second equation there are 14 available gallons and the fish require 2 and .5 gallons so 14=2b+0.5s. Then you just solve the system of equations.
Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter, as shown below:
A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. The height of the seesaw from the ground, at the other end, is labeled 1 meter.
What is the maximum length of the seesaw?
Using the slope concept, it is found that the maximum length of the seesaw is of 1.73 meters.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem:
The vertical change is of 1 m.The horizontal change is the length l.The angle is of 30º.Hence:
tan(30º) = 1/l
l = 1/tan(30º)
l = 1.73.
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Please hurry quick I need an answer
Answer:
slope is 4
Step-by-step explanation:
Slope is rise/run
for every 4 units it rises it runs 1 unit
4/1=4
Jack is swimming in the 500m race. It takes him 1 minute and 35 seconds to swim 1 lap in an Olympic-sized pool. How long will it take him to swim the 500m race? Show your work and justify your answer.
Answer:
okay information
Step-by-step explanation:
"What are the coordinates of your reflected triangle A’B’C’?"
Please help! Thank you!
A' - (-1,4)
B' - (-1,8)
C' - (-5,4)
hope this helps
PLEASE HELP how do you find the thickness of a foil when you’re given the density, mass, length and width? please explain with detail! also how will the units look during the process because my length and width are cm, density is g/cm^3, and mass is g.
Step-by-step explanation:
Density = mass / volume
Volume = width × length × thickness
D = M / V
D = M / (WLT)
Solving for the thickness:
T = M / (WLD)
The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1,400. If the monthly interest rate is 1.3% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent.
Answer:
This answer is on quizlet
Step-by-step explanation:
Answer:3255.20
Step-by-step explanation:
First, calculate the interest using the APR in decimal form (divided by 12) and the average daily balance.
Interest =0.27612×$2,400=$55.20
Then add the interest to the unpaid balance.
Total Balance =$3,200+$55.20=$3,255.20