Answers
f(10) = 9972.48954
9972.49/12230.59 = .815
1 - .815 = .185
every 5 years it loses 18.5% of it's value.
Related Questions
If angle 3 is 45 degrees, what is the measure of it's supplement?
A) 45
B) 90
C) 205
D) 135
Answers
how do you do this system using the equal values method?
Answers
[tex]x+2y=14[/tex]
[tex]x=14-2y[/tex]
For the second equation:
[tex]-x+3y=26[/tex]
[tex]-x=26-3y[/tex]
[tex]x=3y-26[/tex]
Then if we set these two equal to each other:
[tex]3y-26=14-2y[/tex]
[tex]5y-26=14[/tex]
[tex]5y=40[/tex]
[tex]y=8[/tex]
Then we take this y value and plug it back into either of our starting equations. I'll use the first one as an example:
[tex]x+2(8)=14[/tex]
Now just solve for x and you'll have your solution.
Summarize the steps to orderly problem solving when dealing with a mathematical chemistry problem
Answers
Help please I don't get it...........
Answers
--------------------------------------------
--------------------------------------------
Going through each answer choice, we find...
A. False. The graph is always decreasing (see attached image). The curve slopes downhill as you read it from left to right.
B. False. Negative x values are allowed. Also, x = 0 is allowed.
C. False. The proper range is y > 0
D. True. Plugging in x = 0 leads to f(x) = 1. The graph in the attached image confirms this answer. The red curve crosses the vertical y axis at 1, which is the point (0,1) the y intercept in this case.
4a-3b=21 true or false
Answers
4a - 3b
4(6) - 3(1)
24 - 3 = 21
Which function has a domain of x greater than equal to 5 and the range of y less than equal to 3?
A. y = root squared of x-5, +3
B. y = root squared of x+5, -3
C. y = - root squared of x-5, +3
D. y = - root squared of x+5, -3
Answers
Answer:
Option C is the answer.
Step-by-step explanation:
Option A. [tex]y=\sqrt{x-5}+3[/tex]
For domain of this function
(x - 5) ≥ 0
x ≥ 5
For range of the function
for every value of x ≥ 0
y ≥ 3
Opttion B. [tex]y=\sqrt{x+5}-3[/tex]
For Domain
(x + 5) ≥ 0
x ≥ (-5)
and for every value of x ≥ (-5) range of the function will be
y ≥ (-3)
Option C.
y = -√(x -5) + 3
For domain
x - 5 ≥ 0
x ≥ 5
For range
y ≤ 3
Option D. [tex]y=-\sqrt{x+5}-3[/tex]
For domain (x + 5) ≥ 0
x ≥ -5
For range
y ≤ (-3)
Therefore option C will be the answer.
Consider the function y = x^2 − 18x. Enter the values for the variables to complete the inverse
Answers
Given the equation:
y = x^2 – 18x
Rewrite in vertex form:
y = x^2 – 18x + (18/2)^2 – (18/2)^2
y = (x – 9)^2 – 81
Swap x and y:
x = (y – 9)^2 – 81
Solve for y:
x + 81 = (y – 9)^2
y – 9 = sqrt (x + 81)
y = sqrt (x + 81) + 9
or
y = (x + 81)^(1/2) + 9
Renee is a sales associate at a store . She earns 80$ a week plus 15% commission on her sales. Last week she sold 200$ worth of items . What is the total amount she earned for the week? How much did she earn from commission
Answers
He sells packets of sweet-pepper seeds for $2.48 each and packets of hot-pepper seeds for $4.56 each. he also offers a 16-packet mixed pepper assortment combining packets of both types of seeds at $3.65 per paket. how many packets of each type of seed are in the assortment
Answers
Which estimate best describes the area under the curve in square units?
10 units²
15 units²
25 units²
30 units²
Answers
z varies directly with x^2 and inversely with y. When x = 2 and y = 4, z = 3. What is the value of z when x = 4 and y = 9?
Answers
The distance between two cities on a map is 13 cm. What is the actual distance between the cities if the map is drawn at a scale of 1:50,000?
Answers
Answer:
6.5 km
Step-by-step explanation:
1:50,000
13 cm on a map, multiply both sides by 13 which leaves us with:
13:650,000
However, we need to calculate the distance in kilometers, not centimeters. To do that, we have to divide 650,000 by 100,000 which leaves us with 6.5 km
The formula for finding the length of an arc on a circle is L=2πr(x360) , where r is the radius of the circle and x is the measure of the central angle of the arc. Solve for x.
Answers
To solve for the measure of the central angle (x) in the arc length formula, rearrange the formula such that [tex]x = (L/2\pi r) * 360.[/tex] This method allows you to determine the degree measure of the arc once you know the arc length (L) and the radius (r) of the circle.
Explanation:Given that the formula for finding the length of an arc in a circle is [tex]L=2\pi r(x/360)[/tex], you can solve for x if L and r are known. In this formula, r stands for the radius of the circle and x represents the measure of the central angle of the arc in degrees. So, to isolate x, you would need to rearrange the formula, giving us: [tex]x = (L/2\pi r) * 360.[/tex]
This effectively means that the degree measure of the arc (x) is equivalent to the ratio of the arc length to the circumference (which is 2πr) times 360 degrees.
For instance, let's consider a circle where r=5 and the arc length L has a value of 10 units. We would substitute these values into our newly rearranged formula thus: [tex]x = (10/2\pi *5) * 360 = 36[/tex] degrees. This tells us that the central angle for this particular arc on a circle with a radius of 5 units is 36 degrees.
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Find the derivative of f(x) = 8x + 4 at x = 9
Answers
but its derivative will be [tex]\bf f(x)=8x+4\implies \left. \cfrac{dy}{dx}=8\right|_{x=9}\implies 8[/tex]
Forty-eight pounds of sand are used to fill 12 bags. Miranda uses the five-step problem-solving plan. After completing the Solve step, how many pounds of sand should she find each bag will hold?
Answers
48 / 12 = 4
Each bag had 4 pounds of sand it can hold.
According to the Five-pan strategy ,
Step 1 . Read given problemStep 2. Construct a plan to solve it.Step 3. Perform it.Step 4. Check answer.Step 5. Write final answer with statement.For given problem :
Step 1. 48 pounds of sand are used to fill 12 bags.
To find : how many pounds of sand should she find each bag will hold?
Step 2. We need to divide the total amount of sand require to fill 12 bags by 12.
Step 3. Amount of sand require to fill one bag = (amount of sand require to fill 12 bags) ÷ 12
= (48) ÷ 12
= 4 pounds
Step 4. Checking our answer as
Amount of sand require to fill 12 bags = 12 x (Amount of sand require to fill one bag)
= 12 x 4 = 48 pounds which is given, thus our answer is correct.
Step 5. She should fill 4 pounds of sand in each bag.
Find two consecutive integers whose product is 5 less than the square of the smaller number
Answers
The product of -5 and -4 is 20
The square of the smaller number, -5, is 25.
The product, 20, is indeed 5 less than 25, the square of the smaller number.
To find two consecutive integers whose product is 5 less than the square of the smaller number, let the smaller number be x and use algebraic equations to solve for x.
Explanation:To find two consecutive integers whose product is 5 less than the square of the smaller number, we can let the smaller number be x. The larger number would then be x + 1. The product of the two consecutive integers is x(x + 1) and the square of the smaller number is x^2. According to the problem, x(x + 1) = x^2 - 5. We can solve this equation to find the values of x and x + 1.
Expanding x(x + 1) gives us x^2 + x. So, the equation becomes x^2 + x = x^2 - 5. We can simplify this equation by canceling out x^2 on both sides, which leaves us with x = -5.
So the consecutive integers are -5 and -4.
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A pilot flies 640 miles with a tail wind of 35 miles per hour. Against the wind, he flies only 455 miles in the same amount of time. Find the rate of the plain in still air
Answers
so, we know the wind rate is 35mph.
when the pilot goes with it, it runs for say "t" hours and covers 640 miles.
when he goes against it, it runs for say also "t" hours, covering 455 miles only.
now, let's say the still air speed of the plane is "r", so when it goes with the wind, is not really going "r" mph, is really going "r + 35", because the wind is adding speed.
likewise, when it goes against it, the speed is not "r" but "r - 35", the wind is slowing it down.
[tex]\bf \begin{array}{lcccll} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{t}\\ &------&------&------\\ \textit{with wind}&640&r+35&t\\ \textit{against the wind}&455&r-35&t \end{array} \\\\\\ \begin{cases} 640=t(r+35)\implies \cfrac{640}{r+35}=\boxed{t}\\\\ 455=t(r-35)\\ ----------\\ 455=\left( \boxed{\frac{640}{r+35}} \right)(r-35) \end{cases}[/tex]
[tex]\bf 455(r+35)=640(r-35)\implies 455r+15925=640r-22400 \\\\\\ 38325=185r\implies \cfrac{38325}{185}=r\implies \cfrac{7665}{37}=r\implies 207\frac{6}{37}=r[/tex]
How can you use doubles when multiplying with 4 to find 4x8
Answers
Multiplying by 2 is the same a doubling.
Since 4 is 2 * 2, to multiply a number by 4, double the number twice.
Example:
What is 4 * 100?
Double 100 to get 200.
Double 200 to get 400.
Therefore, 4 * 100 = 400.
By doubling twice, we do the same as multiplying by 4.
Which values of x will make the absolute value equation true?
|x – 4| = 7
A.
{–3, 3}
B.
{–3, 11}
C.
{–11, 11}
D.
no solution
Answers
x - 4 = 7 (add 4 to both sides to get x by itself)
x = 11 (one of the answers)
x - 4 = -7
x = -3 (other answer)
So the answer is { -3, 11 }
-----------------------------------------
Checking choice A
Plug in x = -3
|x-4| = 7
|-3-4| = 7 ... replace x with -3
|-7| = 7
7 = 7
We have a true equation so x = -3 works
--------------
Plug in x = 3
|x-4| = 7
|3-4| = 7 ... replace x with 3
|-1| = 7
1 = 7
The last equation is false so x = 3 is not a solution. We can cross choice A off the list.
-----------------------------------------
Checking choice B
We already checked x = -3 (see above in choice A). All we need to do is check x = 11
|x-4| = 7
|11-4| = 7 .... replace x with 11
|7| = 7
7 = 7
We have a true equation so x = 11 works
Since x = -3 and x = 11 work, this means we have the proper solution set {-3, 11}. So this means choice B is the final answer
-----------------------------------------
For the sake of completeness, let's check choice C.
Plug in x = -11
|x-4| = 7
|-11-4| = 7 ... replace x with -11
|-15| = 7
15 = 7
The last equation is false so choice C can be ruled out as well.
-----------------------------------------
We can cross choice D off the list since we found there is a solution set and it is {-3, 11} back in choice B.
-----------------------------------------
Let's say that we didn't have these answer choices and it was a fill in the blank type of problem. Here's how to find the two solutions
|x-4|=7
x-4=7 or x-4=-7 ...... break up the absolute value
x-4+4=7+4 or x-4+4=-7+4 .... add 4 to each side (for each equation)
x = 11 or x = -3
x = -3 or x = 11
So the solution set is {-3, 11}
-----------------------------------------
-----------------------------------------
Final Answer: Choice B) {-3, 11}
What is the solution set for the open sentence with the given replacement set?
2t-t=0,{1,2,3,4}
A. Null set
B. 2
C. 3
D. 4
Answers
This is another way of saying "the empty set" which is the set of nothing inside it. It's a fancy mathematical way of saying "no solutions" in terms of the given restrictions placed upon us.
-----------------------------------------------
-----------------------------------------------
Let's check every value in the replacement set. All we do is go through each number one at a time
Checking t = 1
2t - t = 0
2*1 - 1 = 0 ... replace every t with 1
2 - 1 = 0
1 = 0
The last equation is false so we can cross t=1 off the list
-----------------------------------------------
Checking t = 2
2t - t = 0
2*2 - 2 = 0 ... replace every t with 2
4 - 2 = 0
2 = 0
The last equation is false so we can cross t=2 off the list
-----------------------------------------------
Checking t = 3
2t - t = 0
2*3 - 3 = 0 ... replace every t with 3
6 - 3 = 0
3 = 0
The last equation is false so we can cross t=3 off the list
-----------------------------------------------
Checking t = 4
2t - t = 0
2*4 - 4 = 0 ... replace every t with 4
8 - 4 = 0
4 = 0
The last equation is false so we can cross t=4 off the list
-----------------------------------------------
We've crossed everything off the list. So there are no solutions indicating the solution set is the null set or empty set.
Side Note: if t = 0 were in the replacement set, then we'd have a solution. However that isn't the case here.
An open sentence is a mathematical sentence that has an unknown.
The solution set for t is (a) Null set
The equation is given as:
[tex]\mathbf{2t - t = 0}[/tex]
The set is given as:
[tex]\mathbf{\{1,2,3,4\}}[/tex]
First, we solve for t in: [tex]\mathbf{2t - t = 0}[/tex]
[tex]\mathbf{t = 0}[/tex]
The above equation implies that, the value of t is 0
0 is not represented in the given set, [tex]\mathbf{\{1,2,3,4\}}[/tex]
Hence, the solution set for t is (a) Null set
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Find the new amount given the original amount and the percent of change. $5; 10% increase
Answers
If m∠TRK equal 32.5°, what is m∠TSK?
Answers
The measure of angle TSK is 130°, because it is an inscribed angle that intercepts the same arc as angle TRK, and angle TRK is half the measure of the central angle that intercepts the same arc.
The correct answer is option C.
The center of the circle is S, and the measure of angle TRK is 32.5°. We want to find the measure of angle TSK.
We can use the following theorem to solve this problem:
Inscribed Angle Theorem: An inscribed angle is half the measure of the central angle that intercepts the same arc.
In other words, if an angle is inscribed in a circle and intercepts a certain arc, then the measure of that angle is half the measure of the central angle that intercepts the same arc.
In this problem, angle TRK is an inscribed angle that intercepts arc KT. Therefore, the measure of angle TRK is half the measure of the central angle that intercepts arc KT.
Let's call the central angle that intercepts arc KT θ. Since angle TRK measures 32.5°, we know that θ measures 32.5° * 2 = 65°.
Now, we can use the Inscribed Angle Theorem again to find the measure of angle TSK.
Angle TSK is an inscribed angle that intercepts arc KT, and the measure of the central angle that intercepts arc KT is 65°. Therefore, the measure of angle TSK is half the measure of the central angle that intercepts the same arc, which is 65° * 2 = 130°.
The measure of angle TSK is 130° making option C the correct option.
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The question probable may be:
The center of the circle is S. Note: Figure not drawn to scale. If mangle TRK equal 32.5 ° , what is mangle TSK ? A. 32.5 ° B. 65 ° C. 130 ° D. 16.25 °
Evi what to make to pottery she needs 3/5 pounds of clay for one piece and 7/10 Pound of clay for the other piece she has three bags of clay that wiegh 4/5 pound each.how many bags of clay will Eva need to make both pieces of pottery?How many pounds of clay will she have left over ?
Answers
A color printer prints 9 pages in 3 minutes. how many minutes does it take per page
Answers
3 pages per min
3/60 seconds = .05 seconds
.05 s/ 60 = 0.00083333 min per pg.
Final answer:
To calculate time per page, divide the total printing time by the number of pages. A printer that prints 9 pages in 3 minutes takes approximately 0.333 minutes (or 20 seconds) to print one page.
Explanation:
The question is asking us to calculate the time it takes for a color printer to print one single page. To find this, we need to divide the total time taken to print multiple pages by the number of pages printed. So, if a printer prints 9 pages in 3 minutes, we can calculate the time per page as follows:
First, identify the total time taken for printing multiple pages, which is 3 minutes for 9 pages.
Divide the total minutes by the number of pages to get the time per page. In this instance, it would be 3 minutes ÷ 9 pages.
Perform the division to find the time it takes to print one page. 3 minutes ÷ 9 pages = 0.333... minutes per page.
Therefore, it takes approximately 0.333 minutes (or 20 seconds) for the color printer to print one page.
frank averages one strike for every 4 frames that he bowls. if he bowled 48 strikes in one season how many frames did frank bowl
Answers
You just divide 48 divided by 4 = 12
It also says "every" so you know to divide
You and a friend are looking for an apartment. There are two final choices. Apartment A has a $1000 security deposit and costs $1200 each month. Apartment B has a $1500 and costs $1175 each month. How many months, m, will it take for the costs to be the same?
Answers
1200m=500+1175m
25m=500
m=20 months
The required months are x = 0.60 months where at the cost become same.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the total cost be y and the month be x
Apartment A has a $1000 security deposit and costs $1200 each month.
y = 1200x +1000 - - - - - (1)
Apartment B has $1500 and costs $1175 each month.
y = 1175x + 1500
From equation 1
1200x + 1000 = 1175x + 1500
1200x - 1175x = 500
825x = 500
x = 500 / 825
x = 0.60 months,
y = 1200*0.60 + 1000
y = 1,720
Thus, the required months are x = 0.60 months where the cost becomes the same.
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Determine whether the coordinate plane shows a reflection in the x-axis, y-axis, or neither.
Answers
reflection in the x
From the graph, it is obtained that there is a reflection on the x-axis.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is obtained that, the x-coordinate of a point that is reflected across the x-axis stays constant, but the y-coordinate is assumed to be the additive inverse. The x-axis' reflection of point (x, y) is (x, -y).
The new reflected graph's reflection equation will be y=f(x) y = f (x) given an equation of the form y=−f(x) y = − f ( x ). To put it another way, the function may be simply multiplied by 1, which results in a curve that is mirrored across the x-axis.
Thus, from the graph, it is obtained that there is a reflection on the x-axis.
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Susie's sushi place two orders with its fish supplier one order was for 15 lb of salmon and 8 lb of tuna the order total $228 the other order was for 12 lb of salmon and 6 lb of tuna this ordered total for 180 what is the cost for 1 lb of salmon in 1 lb of tuna
Answers
Let s = 1 pound of salmon
Let t = 1 pound of tuna
15s + 8t = 228
12s + 6t = 180
Solve this system of equations for s and t to find your answer.
What is the perimeter of the figure?
A. 88 in.
B. 88 11/24 in.
C. 88 7/8 in.
D. 89 7/8 in.
Answers
88 11/24 in
i believe that is your answer
Question 2
Find the next term in this arithmetic sequence: 2/3, 2, 3 1/3, ____
4 2/3
3 2/3
4
4 1/3