Answer:
The image of vertex K is (3,-2)
Step-by-step explanation:
Rotated 180 degrees about the origin means that the value of x will not change, while y will have the same distance from the origin, but in a different direction.
Vertex K:
Value of x: x = 3
Value of y: y = 2
Distance from the origin: 2 - 0 = 2
Rotated, new coordinate: 0 - 2 = -2
The image of vertex K is (3,-2)
A vintage car costs $32,000 when purchased. The car increases in value by approximately 7% at the end of each year, x, after it is purchased. Which inequality can be used to find the years the car is worth more than $75,000?
Answer:
\(32000( {1.07}^{x} ) > 75000\)
The required inequality represents the worth of the car more than $75,000 is 32000[1.07]ˣ > 75000.
Given that,
A vintage car costs $32,000 when purchased. The car increases in value by approximately 7% at the end of each year, x, after it is purchased.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
According to the question,
The relationship of the cost of the car after x year,
= 32000[1 + 0.07]ˣ
= 32000[1.07]ˣ
Now, this cost should be more than $75000
So,
32000[1.07]ˣ > $75000
Thus, the required inequality represents the worth of the car more than $75,000 is 32000[1.07]ˣ > 75000.
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Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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Which of the following tables represents a linear relationship that is also proportional
Answer picture below
Answer:
c=200+0.4Yd find determine equlibirum level investment is =400
Answer:im pretty sure its D
Step-by-step explanation:it goes through the origin
Tom has $5.05 in quarters and dimes. How many coins are quarters if the total number of coins is 28? Try creating a system of equations and solving this by either substitution or elimination.
Define the system of equations that describes the situation.
Take x as the number of quarters and y as the number of dimes, according to the question the total number of coins, which is the sum of quarter and dimes, is 28:
\(x+y=28\)Also, using the equivalence in cents we know that each quarter is 25 cents and each dime is 10 cents. Expressed as dollars, a quarter equals 0.25 dollars and a dime equals 0.10 dollars. According to the question, the total amount of money is $5.05, this is the sum of the product of 0.25 and the number of quarters and the product of 0.10 and the number of dimes.:
\(0.25x+0.10y=5.05\)Use both equations to define the system of equations:
\(\begin{gathered} x+y=28 \\ 0.25x+0.10y=5.05 \end{gathered}\)Use substitution to solve the system:
\(\begin{gathered} x+y=28 \\ y=28-x \end{gathered}\)\(\begin{gathered} 0.25x+0.1y=5.05 \\ 0.25x+0.1(28-x)=5.05 \\ 0.25x+2.8-0.1x=5.05 \\ 0.15x=5.05-2.8 \\ 0.15x=2.25 \\ x=\frac{2.25}{0.15} \\ x=15 \end{gathered}\)15 of the coins are quarters.
i need some to report my last 4 questions
Answer:
Will do!
I get the scam links too
Brittany is giving her sister 2/5 of her shell collection . How many 1/15s of her shell collection is she giving her sister?
Answer:
Brittany is sharing number of \(\frac{1}{15}\)s with her sister = 6
Step-by-step explanation:
Let the shell collection of Brittany = x
She is giving \(\frac{2}{5}\) of her shell collection to her sister.
Therefore, shells received by her sister = \(\frac{2x}{5}\)
\(\frac{1}{15}\)th of her shell collection = \(\frac{x}{15}\)
Number of \(\frac{1}{15}\)s her sister received = \(\frac{\text{Total shells received by Brittany's sister}}{\frac{1}{15}th \text{part of Brittany's shells}}\)
= \(\frac{\frac{2x}{5}}{\frac{x}{15} }\)
= \(\frac{2x}{5}\times \frac{15}{x}\)
= 6
Therefore, number of \(\frac{1}{15}\) received by her sister = 6
Every day, Grace drives the same distance to work and back home. If Grace drives 1,000 miles in 5 days, how far does she drive in 4 days?
Answer: 800 miles
Step-by-step explanation: 1,000 divided by 5 is 200 so she is driving 200 miles a day, after 4 days it would be 1,000- 200= 800
A lumberyard charges $ 1 per cut to trim boards. Bob buys a 12-ft board and wants it out into twelve 1-ft pieces. How much will he be charged for the cutting? The correct answer is $11.
Answer:11
Step-by-step explanation:
There are 11 cuts to make 12 pieces on 1ft each
x Which statement best describes the fuel consumption of a speed boat modeled by the function f(x) = 1.3³ ?
4x A Fuel consumption is constant.
B
C
D
Fuel consumption increases linearly.
Fuel consumption increases.
Fuel consumption increases exponentially.
The right response is D: Fuel usage rises exponentially.
How do you define "fuel"?Definition of fuel: A material that is burnt to produce heat, electricity, or nuclear energy. When burned, materials such as coal, timber, oil, or gas may produce heat. Fuel types include methanol, gasoline, diesel, lpg, natural gas, and hydrogen. Burning plutonium generates nuclear energy.
Why is gasoline referred to as fuel?Because of its good intensity of combustion and ability to combine easily with air in a carburetor, gasoline—originally a byproduct of the petroleum industry, with kerosene being the main product—became the favoured fuel for automobiles. petrol is hence another term for petrol.
The statement \(f(x)=1.3^{x}\) models the fuel consumption of a speed boat.
Since the exponent \(x\) is a variable that represents the speed of the boat, we can conclude that the fuel consumption of the boat increases exponentially as the speed increases.
Therefore, the correct answer is D: "Fuel consumption increases exponentially."
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Picture of coordinates (5,4) (3,4)
On a Cartesian plan
Both the coordinate points are plotted on the graph. The cartesian graph is attached with the answer.
What are coordinates?Coordinates are numbers which determine the position of a point or a shape in a particular space (a map or a graph). In the cartesian coordinate system, the coordinates are of the form (x, y).Other coordinate systems are : cylindrical and spherical coordinate systemGiven are the two coordinates to be plotted on a Cartesian plan -
(5, 4) , (3, 4).
The two given coordinate points are (5, 4) , (3, 4).
Refer to the graph attached. It shows both the points plotted.
Therefore, both the coordinate points are plotted on the cartesian graph.
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When first observed, an oil spill covers 4 square miles. Measurements show that the area is tripling every 8 hrs. Find an exponential model for the area A (in mi2) of the oil spill as a function of time t (in hr) from the beginning of the spill.
A(t) =
26•26^8 i’m not sure how to solve this
Answer:
26^9
Step-by-step explanation:
Solve for m:
-3(1 – 5m) = — 38 + 8m
Answer:
m = - 5
Step-by-step Explanation:
\(-3(1-5m)=-38+8m \\ \\ - 3 + 15m = - 38 + 8m \\ \\ 15m - 8m = 3 - 38 \\ \\ 7m = - 35 \\ \\ m = \frac{ - 35}{7} \\ \\ \huge \purple{ \boxed{m = - 5}}\)
Answer:
-5
Step-by-step explanation:
Giving out 15 points!
Please help asap!
Answer:
100,000
Step-by-step explanation:
100,000
1 2 345
5
10^{5}
please answer me please
Step-by-step explanation:
please mark me as brainlest
Form a polynomial
Degree: 4
Zeros: -1, 2, & 1-2i
Answer:
(x+1)(x-2)(x-1)(x-1+2¡) multiply all together
Step-by-step explanation:
(x+1)(x-2)(x-1)(x-1+2¡)
multiply all together u have your answer
Write an equation of the line perpendicular to line MN that goes through point Q.
Francisco has solved the problem for you, but made a mistake.
Find the error in the work and correct the mistake. Show your work for full credit.
Francisco’s work:
Step 1: Slope of MN: 1/4
Step 2: Slope of the line perpendicular: 4
Step 3: y - y = m(x - x) Q(6, -2)
y - (- 2) = 4 (x - 6)
Step 4: y + 2 = 4x - 24
Step 5: y + 2 - 2 = 4x - 24 - 2
Step 6: y = 4x - 26
Step completed incorrectly: ___
(I believe the step completed incorrectly is 2? But I’m not very sure on the showing my work part as well.)
Answer:
Step completed incorrectly: 2
Correct Answer: y = -4x + 22
Step-by-step explanation:
The graph is a straight line through points M(4, -1) and N(8, 0). Point Q is located at (6, -2).
To calculate the slope of the line, substitute the points into the slope formula:
\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)
Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.
If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.
The negative reciprocal of 1/4 is -4.
Therefore, the slope of the perpendicular line is -4.
So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.
Corrected work
\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)
\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)
\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)
\(\textsf{Step 4:} \quad y+2=-4x+24\)
\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)
\(\textsf{Step 6:} \quad y=-4x+22\)
Therefore, step 2 has been completed incorrectly.
The correct answer is y = -4x + 22.
help needed will mark 1st person brainlisest wtv it’s called lol
Hi, there.
_____
First off, think about this: what is \(\sqrt{6}\)?
If you do this on your calculator, you'll arrive at 2.449...
The key is: \(\sqrt{6}\) is a number whose digits do not have any patterns. Whenever this happens the number's considered an irrational number.
Is it real? Reals are all numbers. The set of irrationals is a subset of reals. If a number's irrational it's also real.
It's not an integer. Irrationals are not a subset of the integers set.
It's not whole either.
√6 is only an irrational and a real number.
Hope the answer - and explanation - made sense,
happy studying.
10+∣9+4x∣= 11 ablute value
Answer:
the answer is \(x=-\frac{5}{2}\quad \mathrm{or}\quad \:x=-2\)
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
Which of the following phrases does not translate to n - 5?a number minus fivea number subtracted from fivethe difference between a number and fivea number decreased by five
ANSWER
a number subtracted from five
EXPLANATION
We want to find the phrase that does not translate to:
\(n-5\)The given expression shows that 5 is subtracted from the number n. This implies the difference between the number and 5. It can also be written as a number n decreased by 5.
In other words, the phrase that does not translate to the given expression is:
a number subtracted from five
WHAT IS THE ACTUAL SALES
If the sales tax is 6% with the total sales as $88,000, the actual sales will be $83,019.
How are the actual sales determined?The actual sales can be determined by dividing the total sales, including the sales tax by the sales tax factor.
The sales tax factor increases the actual sales by the sales tax rate.
Total sales including sales tax = $88,000
Sales tax rate = 6%
Sales tax factor = 1.06 (1 + 0.06)
Actual sales = Total sales ÷ Sales tax factor
= $83,019 ($88,000 ÷ 1.06)
Thus, the actual sales for a total sales of $88,000, which includes the sales tax of 6%, is $83.019.
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What is a good practice to remember when adding transitions to a presentation?
A good practice to remember when adding transitions to a presentation is to ensure that they are purposeful, consistent, and enhance the overall flow of the presentation.
Purposeful: Use transitions to guide the audience through your key points and ideas, making sure they complement the content and contribute to the overall message.
Consistent: Maintain a consistent style of transitions throughout your presentation to maintain a cohesive look and feel. Avoid using too many different types of transitions, as this may be distracting.
Enhance flow: Transitions should help create a smooth flow between slides and ideas, making it easy for the audience to follow your presentation. Avoid using abrupt or overly flashy transitions that may interrupt the natural progression of your content.
finally, Test your presentation with the transitions to make sure they enhance the overall flow and comprehension of your message.
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Please help I really need help with this problem. This is just an example problem i need help understanding it.
Answer:
So you need to solve for x and y so to find x and y you do -3+3 and that would get you to -1 so that would mean that y=3 and x=2 because 3+2+-1=4 then in the second problem thing it would be x+y to get 3 i hope that this makes sence now. :)
Step-by-step explanation:
Solve for x: -2x+14=20
Answer:
-3
Step-by-step explanation:
First, subtract 14 from 20. 20-14=6. And then divide -2 on each side. You then have to do 6/-2, when a postive number divides a negative, you change the sign. So you would get x=-3
Answer:
x = -3
Step-by-step explanation:
-2x + 14 = 20
Subtract 14 from each side.
-2x = 6
Divide both sides by -2
x = -3
can you please explain how i can work through these problems?
Molly Company sells 39,000 units at $35 per unit. Variable costs are $22.05 per unit, and fixed costs are $207,100.
Determine (a) the contribution margin ratio, (b) the unit contribution margin, and (c) operating income.
a. Contribution margin ratio (Enter as a whole number.) fill in the blank 1
%
b. Unit contribution margin (Round to the nearest cent.) $fill in the blank 2
per unit
c. Operating income
The contribution margin ratio is 37%, unit contribution margin is $12.95, whereas the operating income is $297,950
What is the contribution margin ratio?
The contribution margin ratio compares the contribution margin per unit to the selling price per unit whereby contribution margin is the selling price minus the variable cost per unit
unit contribution margin=$35-$22.05
unit contribution margin=$12.95
Contribution margin ratio=$12.95/$35
Contribution margin ratio=37%
operating income=(unit contribution margin*sales units)-fixed costs
sales units=39000
fixed costs= $207,100
operating income=($12.95*39000)-$207100
operating income=$297,950
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Ahmad's Coffee Shop makes a blend that is a mixture of coffee types A and B. In one bag of the blend, there are 3 kilograms of type A. Four bags of the blend are a total of 36 kilograms. How many kilograms of type B are there in one bag?
Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 3 ,4 , and 36 . Let represent the number of kilograms of type B in one bag.
I need the answer asap please! by 3:00pm
Answer:
The appropriate form for this problem is:
(Amount of Type A per bag) + (Amount of Type B per bag) = Total weight per bag
Using the given information, we can fill in the blanks:
(3 kg) + (___ kg) = (36 kg) ÷ (4 bags)
Simplifying the right side:
(36 kg) ÷ (4 bags) = 9 kg/bag
Substituting back into the equation:
3 kg + (___ kg) = 9 kg/bag
Solving for the blank:
___ kg = 9 kg/bag - 3 kg
___ kg = 6 kg/bag
Therefore, there are 6 kilograms of type B in one bag of the blend.
Siobhan earned $45 babysitting on Friday. On Saturday, she babysat for 5 hours at $4 per hour. On Sunday she bought a DVD for $32. How
much money did she have left after buying the DVD?
$30
Work: 45+20=65
65-35=30
ixl prediction! URGENT, PLEASE.
The expected number of not blue is 54
How to evaluate the expected number of valueFrom the question, we have the following parameters that can be used in our computation:
Spinner
Using the above as a guide, we have the following probability
P(Not Blue) = Not Blue/Total
So, we have
P(Not Blue) = 6/9
When it is spun 81 times, the expected number of times is
Times = 6/9 * 81
Evaluate
Times = 54
Hence. the number of times is 54
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Help please !!!! HELP #brainliest
Answer:
the fist number on the first one second on the seconded one and third on the third one
Step-by-step explanation: