A used-car dealership buys a car for $2800 and then sells it for $4300. What is the percent increase?
Answers
Answer:
The increase is 53,57%.
Step-by-step explanation:
This problem is solved by the rule of 3. It's necessary verify the proportionality. On the both sides it's directly propose, so it's necessary multiply crossed:
2800 _____> 100%
4300 _____> x
2800 * x = 4300 * 100
x = (4300 * 100)/2800
x = 153,57%
153,57% - 100% = 53,57%, that's the answer
Related Questions
Hi i don’t know how to answer #4 and #5. I’m in college calculus 1.
Answers
Hence,
\(\begin{gathered} \tan ^2\alpha+1=\sec ^2\alpha \\ \text{Substitute tan}\alpha=-3\text{ into the eqaution above},\text{ we have } \\ (-3)^2+1=\sec ^2\alpha \\ 9+1=\sec ^2\alpha \\ 10=\sec ^2\alpha \\ \sec ^2\alpha=10 \\ \sec \alpha=\sqrt[]{10} \\ \text{but sec}\alpha=\frac{1}{\cos \alpha} \\ \text{hence, }\frac{1}{\cos\alpha}=\sqrt[]{10} \\ \cos \alpha=\frac{1}{\sqrt[]{10}} \end{gathered}\)\(\begin{gathered} \text{But tan}\alpha=\frac{\sin \alpha}{\cos \alpha} \\ \sin \alpha=\tan \alpha\cos \alpha \\ \sin \alpha=-3\text{ x }\frac{1}{\sqrt[]{10}} \\ \sin \alpha=-\frac{3}{\sqrt[]{10}} \\ \\ Hence,\text{ }\sin \alpha=-\frac{3}{\sqrt[]{10}} \end{gathered}\)A picnic table requires 5 boards that are 6 feet long, 4 boards that are 3'3" long, and 2 boards that are 18 inches long. Find the total length of lumber required, using feet as your final unit.
Answers
Answer:
22
Step-by-step explanation:
5 boards = 6 feet
4 boards = 13 feet
2 boards=3 feet
and when you add them its 22.
Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line x + 2y = 6?
write each choice into the boxes to correctly complete the table. *picture below *
Answers
Step-by-step explanation:
in order to be able to decide each case we need the slopes of all involved lines.
and that means we need to bring all of the equating into a "y = ..." form, because then the slope is always the factor of x.
parallel lines have the same slope.
the slopes of perpendicular lines (intercept at a right angle) have the y/x ratio turned upside-down and a flipped sign : -x/y.
"neither" is everything else.
our reference line
x + 2y = 6
2y = -x + 6
y = -1/2 x + 3
so, the reference slope is -1/2.
y = -1/2 x - 5 is parallel (same slope).
-2x + y = -4
y = 2x - 4 perpendicular (2/1 vs. -1/2)
-x + 2y = 2
2y = x + 2
y = 1/2 x + 1 neither
x + 2y = -2 parallel (as the structure except for the constant part is the same as our reference line).
2y = -x - 2
y = -1/2 x - 1
Consider the following differential equations. Determine if the Existence and Uniqueness Theorem does or does not guarantee existence and uniqueness of a solution of each of the following initial value problems.{eq}\begin{array}{l}{\frac{d y}{d x}=\sqrt{x-y}, \quad y(2)=2} \\ {\frac{d y}{d x}=\sqrt{x-y}, \quad y(2)=1} \\ {y \frac{d y}{d x}=x-1, \quad y(0)=1} \\ {y \frac{d y}{d x}=x-1, \quad y(1)=0}\end{array} {/eq}
Answers
Existence and Uniqueness Theorem the existence and uniqueness theorem is the most critical theorem in differential calculus. The theorem addresses how the existence and uniqueness of a solution to a first-order differential equation are affected by conditions such as continuity or Lipschitz continuity.
Determine if the existence and uniqueness theorem does or does not guarantee the existence and uniqueness of a solution to each of the following initial value problems.
1. The differential equation is
\(\frac{dy}{dx}=\sqrt{x-y}\)
The condition of the theorem is fulfilled: The differential equation is continuous and the partial derivative \(\frac{\partial f}{\partial y}=\frac{-1}{2\sqrt{x-y}}\) is continuous.
Therefore, the theorem guarantees the existence and uniqueness of the solution to the initial value problem.
2. The differential equation is
\(\frac{dy}{dx}=\sqrt{x-y}\)
The condition of the theorem is not fulfilled.
\(\frac{\partial f}{\partial y}=\frac{-1}{2\sqrt{x-y}}\) is not defined at \(x=y .\)
Therefore, the theorem does not guarantee the existence and uniqueness of the solution to the initial value problem.
3. The differential equation is \(y\frac{dy}{dx}=x-1\) The condition of the theorem is fulfilled: The differential equation is continuous and the partial derivative \(\frac{\partial f}{\partial y}=y\) is continuous.
Therefore, the theorem guarantees the existence and uniqueness of the solution to the initial value problem.
4. The differential equation is
\(y\frac{dy}{dx}=x-1\)
The condition of the theorem is not fulfilled \(\frac{\partial f}{\partial y}=y\) and is not defined at y=0
Therefore, the theorem does not guarantee the existence and uniqueness of the solution to the initial value problem.
Learn more about the Existence and Uniqueness Theorem at: https://brainly.com/question/30417555
#SPJ11
Determine the circumference of a circle with a radius of 8 meters.
50.2 meters
100.5 meters
201.0 meters
25.1 meters
Answers
Answer:
50.2 is the answer as the answer came in point
4. verify the following identities 0 (a) 1 = 10 (x) + 2 (-1)"l2n(x) n=1 00 (b) e* = 10(x) +2 1. (x) = n=1 0 c) (c) e-* = 10(x) +2X(-1)"In(x) -X = n=1 0 (d) cosh x = 10(x) +2 Izn (x) X d n=1 00 (e) sinh x = 222n-1(x) - n=1
Answers
The given identities can be verified using basic rules of exponentials and algebra. Here are the steps to verify the given identities:
(a) 1 = ∑_(n=1) ^∞▒〖10^(x)+2(-1) ^nln(x)〗0
Rewrite the sum to obtain two series, one for even values of n, and one for odd values of n. ∑_(n=1)^∞▒10^(x) = 10^x+10^x+...= (2/3) (10^x) (odd terms only)∑_(n=1)^∞▒〖(-1)^nln(x)〗= ln(x)-ln(x)+ln(x)-ln(x)+...= (0) (even terms only)
Thus, we have 1= (2/3) (10^x) + (0) = (2/3) (10^x) (b) e^x = ∑_(n=1) ^∞▒〖10^x+2n(x)〗
Rewrite the sum to obtain two series, one for even values of n, and one for odd values of n.
∑_(n=1) ^∞▒10^(x) = 10^x+10^x+...= (1/2) (10^x) (even terms only) ∑_(n=1) ^∞▒〖2n(x)〗= 2(x)+2(2x) +2(3x) +...= 2x (1+2+3+...) = -x/(-1) ^2= -x
Thus, we have e^x= (1/2) (10^x) - x(c) e^(-x) = ∑_(n=1) ^∞▒〖10^x+2(-1) ^nln(x)〗0
We can use the same series from part (a) with x replaced by -x.
Thus, we have e^(-x) = (2/3) (10^(-x)) + (0) = (2/3) (1/10^x)
Similarly, e^x= (2/3) (10^x) Subtracting these two equations, we get: e^x - e^(-x) = (2/3) (10^x + 1/10^x) (answer) (d)
Cosh x = ∑_(n=0) ^∞▒〖10^x+2n(x)〗
Similar to part (b), we have two series, one for even values of n, and one for odd values of n.∑_(n=0)^∞▒10^(x) = 1+10^x+10^x+...= (1/2) (10^x) (even terms only)∑_(n=0)^∞▒〖2n(x)〗= 0+2x+2(2x)+2(3x)+...= 2x (1+2+3+...)= 2x(1/(-1)^2)= 2xThus, we have Cosh(x) = 1 + (1/2) (10^x) + 2x (e^x)(e^x - e^(-x)) / 2= 1 + (1/2) (10^x) + 2x (1 + (2/3) (10^x + 1/10^x)) (answer)(e) Sinh x = ∑_(n=1)^∞▒〖2^(2n-1)(x)〗
Rewrite the sum to obtain two series, one for even values of n, and one for odd values of n.∑_(n=1)^∞▒〖2^(2n-1)(x)〗= 2x+2^3x+2^5x+...= 2x(1+2^2+2^4+...)= 2x(2^0+2^2+2^4+...)= 2x(1/ (1-2^2))= -2x/3Thus, we have Sinh(x) = ∑_(n=1)^∞▒〖2^(2n-1)(x)〗= 2x/3 (answer)
To know more about exponentials refer to:
https://brainly.com/question/12626186
#SPJ11
Figure A is a scale image of figure B. Figure A maps to figure B with scale factor of 0.25.
What is the value of x ?
Answers
Use a property of proportions that states that their reciprocals are equal if the two ratios are equal you get
x : 1
what is the equation (in slope-intercept form) of a line that passes through the point (3,-2) and has a slope of -2
Answers
Answer:
\(y = - 2x + 4\)
Step-by-step explanation:
Thank you
Rita bakes pies at a bakery. the number of pies she can bake, x, is limited by the ingredients they have in stock. this situation is represented by 2x - 3 < 7 and 5 - x < 8 solve the compound inequality and write the viable solutions.
Answers
The viables solutions for the given compound inequality are x ∈ (-3, 5).
According to the given question.
The number of pies baked by Rita is x which is limited by ingredients.
Also, the inequalities which represent the situation are
2x - 3 < 7
And, 5 - x < 8
Since, we have to solve the above inequality and find its solutions.
From the given inequality
2x - 3 <7 we can say that,
2x < 7 + 3
⇒ 2x < 10
⇒ x < 5 ..(i)
And, 5 - x < 8
⇒ 5 - 8 < x
⇒ - 3 < x
or, x < -3 ..(ii)
From i and ii we can say that the solution of the given compound inequality are the numbers which lies in between -3 and 5 or x ∈ (-3, 5).
Hence, the viables solutions for the given compound inequality are
x ∈ (-3, 5).
Find out more information about inequality here:
https://brainly.com/question/20383699
#SPJ4
If the hypotenuse of a right triangle is 35 cm and the radius of the inscribed circle is 4 cm, find the area of the triangle.
Answers
Answer: Let the legs of the right triangle be a and b. We know that the radius of the inscribed circle is 4 cm, which means that the inradius is also 4 cm. The inradius is given by:
r = (a + b - c)/2
where c is the hypotenuse, so we can substitute the given values to get:
4 = (a + b - 35)/2
Multiplying both sides by 2, we get:
8 = a + b - 35
Adding 35 to both sides, we get:
a + b = 43
We also know that the area of the triangle is given by:
A = (ab)/2
where a and b are the legs of the triangle. We can use the Pythagorean theorem to relate the legs to the hypotenuse:
a^2 + b^2 = c^2
Substituting the given value for the hypotenuse, we get:
a^2 + b^2 = 35^2
Simplifying, we get:
a^2 + b^2 = 1225
Now we can use the equation for the sum of the legs to solve for one of the legs in terms of the other:
a + b = 43
b = 43 - a
Substituting this expression for b into the equation for the area, we get:
A = (a(43 - a))/2
Simplifying, we get:
A = (43a - a^2)/2
To find the maximum value of the area, we can take the derivative of A with respect to a and set it equal to 0:
dA/da = 43/2 - a = 0
Solving for a, we get:
a = 43/2
Substituting this value into the equation for the area, we get:
A = (43/2)(43/2 - 43/2)/2 = 0
This means that the area of the triangle is 0 when one of the legs has a length of 0, which is not possible. Therefore, the maximum area occurs when the legs have equal lengths, which means that the right triangle is an isosceles right triangle. In this case, we have:
a = b = (35/sqrt(2)) cm
Substituting these values into the equation for the area, we get:
A = (ab)/2 = ((35/sqrt(2))^2)/2 = 612.5 cm^2
Therefore, the area of the right triangle is 612.5 square centimeters.
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Which transformation causes the described change in the graph of the function f(z)
The transformation
The transformation
The transformation
The transformation
results in a vertical shift down.
results in a horizontal shift left.
✓results in a vertical shift up.
✓results in a horizontal shift right.
= sin(z)?
Answers
The transformation that results in a vertical shift down in the graph of the function f(z) = sin(z) is the vertical shift up. This means that when we apply a positive vertical shift to the graph of sin(z), the graph moves upward. In other words, for each value of z, the corresponding value of sin(z) will be increased by a constant amount, shifting the entire graph vertically in the downward direction.
On the other hand, the transformation that results in a horizontal shift left in the graph of f(z) = sin(z) is the horizontal shift right. When we apply a positive horizontal shift to the graph of sin(z), the graph moves to the right. This means that for each value of z, the corresponding value of sin(z) will be evaluated at a smaller angle, causing the entire graph to shift horizontally to the right.
In summary, the vertical shift up and the horizontal shift right are the transformations that result in a vertical shift down and a horizontal shift left, respectively, in the graph of the function f(z) = sin(z).
for such more questions on function
https://brainly.com/question/11624077
#SPJ8
Which table represents a direct variation?
Table A
6
Х
4
10
8
11
Y у
7
9
13
Table B
6
Х
4
8
10
у
12
18
24
30
Table C
6
8
10
Answers
Answer: Table B is a direct variation.
Step-by-step explanation:
Table A contains data that fits the expression y = x+3. This is not a direct variation. The ratio of x and y is not a constant. Table B matches the expression y = 3x. This is a direct variation. Table C can be expressed as y = x - 3. This is not a direct variation, for the same reason as Table A.
Calculate the Compound interest for 18,000 for 2 years at 8% per
annum compounded annually.
AGAIN URGENT!!!!!
THANK U
Answers
Step-by-step explanation:
principal = 18000
Time = 3 yrs
Rate. = 8%.
CI. = ?
Now
CI = p ( 1+ R÷ 100) ^T
CI = 18000( 1+ 8÷ 100 ) ^ 2
CI = 20995.2
Hope it's is Right :-)
Answer:
interest ( I ) , principal ( P ), Time ( T ) , Rate ( R )
P = I×T×R
100
P = 18,000×2×8
100
= 18,000×16
100
so two zero cancel other two zero living
= 180×16 = 180 × 16
1
= 180 × 16
P = 2880
1
we fixe in the values
3-pound fish stretches a spring 2 inches. how much work is done stretching it 4 more inches?
Answers
To calculate the work done stretching the spring 4 more inches, we can use the formula W = (kx^2)/2, where W is the work done, k is the spring constant, and x is the distance the spring is stretched.
First, we need to find the spring constant k. We can do this by rearranging the formula and plugging in the given values:
k = (2W)/x^2
Since we know that a 3-pound fish stretches the spring 2 inches, we can plug in these values to find k:
k = (2(3))/(2^2)
k = 6/4
k = 1.5
Now that we know the spring constant, we can plug it back into the original formula along with the additional 4 inches of stretch to find the work done:
W = (1.5(4^2))/2
W = (1.5(16))/2
W = 24/2
W = 12
Therefore, the work done stretching the spring 4 more inches is 12 foot-pounds.
Learn more about mechanics and physics here:https://brainly.com/question/23561157
#SPJ11
Suppose that 6 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 47 cm. (a) How much work is needed to stretch the spring from 40 cm to 42 cm ? (Round your answer to two decimal places.) J (b) How far beyond its natural length will a force of 35 N keep the spring stretched? (Round your answer one decimal place.) cm
Answers
Given: 6 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 47 cm.
(a) Work needed to stretch the spring from 40 cm to 42 cm is to be found. Let the work be W1.
As the spring obeys Hooke's law. That is the force is proportional to extension.
Mathematically, F ∝ x. Or, F = kx where k is a constant of proportionality.
If F1 is the force required to stretch the spring from 36 cm to 47 cm then,
F1 = k * 11 ---(1)
as spring stretches from its natural length of 36cm to 47 cm i.e., x = 11 cm
Given, work required to do so is
6JW1 = F1 * x ----(2)
Substituting the values of F1 and x in equation (2), we get
W1 = (k*11) * 11 = 121k Joule
Also, work done in stretching the spring from 36cm to 40cm i.e., x = 4cm is to be found.
Let the work be
W2.F2 = k * 4---(3)
As spring stretches from its natural length of 36cm to 40cm, given x = 4cm.
W2 = F2 * x----(4)
Substituting the values of F2 and x in equation (4), we get W2 = (k * 4) * 4 = 16k Joule
Hence, the work needed to stretch the spring from 40 cm to 42 cm = W1 - W2 = 121k - 16k = 105kJ
(b) It is to be determined how far beyond its natural length will a force of 35 N keep the spring stretched. Let the required length be x.
Given, force = 35N The force acting on the spring is given by the equation,
F = kx --- (1)
where k is a constant of proportionality. As x is the length beyond the natural length, given force is 35 N.
Therefore,
35 = kx---(2)
Also given, natural length is 36cm. Hence, the length to which it is stretched is 36+x cm.
Substituting this value in Hooke's law,
35 = k * x ----(3)
Dividing equation (2) by equation (3), we get:
x= 35/ kPutting this value in equation (3), we get:
35 = k (35/k) Hence, the required value of k is 1.
Therefore, x = 1 * 35 = 35 cm
.Hence, the force of 35 N will keep the spring stretched to a length of 36+35=71cm beyond its natural length.
Answer: (a) 105J; (b) 35 cm
To know more about Hooke's law visit:
https://brainly.com/question/30379950
#SPJ11
solve for w
-5/2 + 1/4w = -5/8
Answers
Answer: 15/2
Step-by-step explanation: -5/2 + 1/4W = -5/8
- 1/4W = -5/8 + 5/2
- 1/4W = 15/8
- W = 15/8 × 4
- W = 15/2
An analysis of variances produces dftotal = 29 and dfwithin = 27. for this analysis, what is dfbetween?
a. 1
b. cannot be determined without additional information
c. 3
d. 2
Answers
The value of dfbetween in the analysis of variances is 2. Thus option D is correct option.
According to the statement
we have given that the df total = 29 and df within = 27. And we have to find the value of the df between.
So, For this purpose, we know that the
Analysis of variance (ANOVA) is an analysis tool used in statistics that splits an observed aggregate variability found inside a data set into two parts.
So, Df between values are the values between the value of dftotal and dfwithin.
Here df total = 29 and df within = 27
So, df between = df total - df within
Substitute the values in it then
df between = df total - df within
df between = 29 - 27
df between = 2.
So, The value of dfbetween in the analysis of variances is 2. Thus option D is correct option.
Learn more about analysis of variances here
https://brainly.com/question/15062874
#SPJ4
Segment A'B' is parallel to segment AB. What is the length of segment AB? What is the length of segment B'B? Your answer should be in decimal form with only one decimal place.
Answers
B’B is 3.5
Step-by-step explanation:
Segment A'B' is parallel to segment AB.
So, The length of segment AB is 7.5 units
The length of segment B'B is 3.5 units
Given :
Segment A'B' is parallel to segment AB. Few sides of the triangle is given.
Apply basic proportionality theorem
When A'B' is parallel to segment AB then sides are proportional
\(\frac{CB'}{B'B} =\frac{CA'}{A'A}\)
Substitute the values
\(\frac{7}{B'B} =\frac{6}{3} \\cross \; multiply\\7(3)=B'B(6)\\21=B'B(6)\\Divide \; by \; 6\\B'B= \frac{21}{6} \\B'B=3.5\)
Now we find AB by making a proportion
\(\frac{CA'}{CA} =\frac{BA'}{BA} \\\frac{6}{9} =\frac{5}{AB} \\Cross \; multiply\\6(AB)=5 \cdot 9\\6AB=45\\Divide \; by \; 6\\AB=7.5\)
The length of segment AB is 7.5 units
The length of segment B'B is 3.5 units
Learn more : brainly.com/question/21274470
If the volume of a cube-shaped box is 729 cubic inches, which equation would you use to determine
how many 1-inch cubes could fit along one side?
A. s=729−−−√3
B. s=729−−−√
C. s=7292
D. s=7293
HELP ASAP
Answers
Answer:it’s a I was stuck to
Step-by-step explanation:
Question 5 of 5
Find the solution to the following system by substitution.
x + y = 20
y = 3x + 8
A. (7,29)
B. (3, 17)
C. (4,20)
D. (17, 3)
PLEASE HELP ME QUICK! :(
Answers
Answer:
B. (3, 17)
Step-by-step explanation:
You want to solve this system of equations by substitution:
x + y = 20y = 3x +8SubstitutionWe are given an expression for y. Substituting that into the first equation gives ...
x + (3x +8) = 20
4x = 12 . . . . . subtract 8
x = 3 . . . . . . divide by 4
y = 3(3) +8 = 17
The solution is (x, y) = (3, 17).
<95141404393>
Create an expression with at least four numbers in two different operations that has a value of 12 (order of operations 8th grade)
Answers
Answer: (4x5) / 10 - 5 = 5
Step-by-step explanation: 20/10 = 10
10-5 = 5
I need help thank you
Answers
Answer:
C i think
Step-by-step explanation:
pls mark brainlyest
Answer:
B. HL
Step-by-step explanation:
Picture below.
Help pls
Answers
x = 5 is the value of x in exterior angle.
Why is this term "exterior angle" used?
They are created on the polygon's exterior or exterior side. Since they both lie on the same straight line, the total of an inner angle and its matching outside angle is always 180 degrees. The exterior angles of the polygon in the figure are 1, 2, 3, 4, and 5.∠QRS is exterior angle .
apply exterior angle theorem in ΔPQR
So, ∠QRS = ∠PQR + ∠RPQ
8x - 9° = 3x + 12° + 3x - 11°
8x - 9 = 6x + 1
8x - 6x = 1 + 9
2x = 10
x = 10/2
x = 5
Learn more about exterior angles
brainly.com/question/28835566
#SPJ13
I'm struggling here, i need help before my semester ends
Answers
Answer:
Below
Step-by-step explanation:
Cross multiply to get
[3x(x) + (x-2)(x+3) ] / [x(x+3)] <==== simplify
[4x^2 +x -6 ] / (x(x+3)) done.
A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing nearby casts a shadow 5 feet long, and the person is 4 feet tall, how tall are the birdhouse and the pole? How do you put this in ratio form??
Answers
12
Step-by-step explanation:
15 feet total amount combined by pole and
birdhouse
4 foot tall person makes 5 feet long shadow
5×3=15
4x3=12 so the birdhouse and pole are 12 feet
4(m - 2) = -2(3m + 3)
Answers
Answer:
m=1/5
Step-by-step explanation:
SImplify
4m-8=-6m-6
then 10m=2
so m=1/5
4(m - 2) = -2(3m + 3)
4m - 8 = -6m -6
4m + 6m = -6 + 8
10m = 2
m = 1/5 or 0.2
CHECKING:
4(0.2 - 2) = -2[3(0.2) + 3]
4(-1.8) = -2(0.6 + 3)
- 7.2 = -2(3.6)
- 7.2 = - 7.2
Therefore, the value of m is 1/5 or 0.2. We also proved that this is correct.
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-The food bill at a restaurant was $56.40. You decide to leave a 15% tip. What is
the TOTAL amount you are paying for the food and tip?
Answers
Answer:$64.86
Step-by-step explanation:
Answer:
$8.46 for tip. The total you paid was $64.86 plus tip.
Step-by-step explanation:
1. Why? First, you need to know the percentage to whole to get to your part. PERCENTAGE: 15% WHOLE: $56.40. (A percent is the percentage of a whole, which is the total.) You need to multiply to get the part.
15% times $56.40
2. How to multiply the percentage to whole.
Put the 15 into a fraction. 15/100, then put the fraction into a demail. (15/100=0.15) Now, multiply.
0.15 x 56.40
(You can add your tip and the bill to get the total of money you spend)
~~~Hope this helps~~~ :)
If each serving of the stew will contain pound of meat, how many servings of the stew can the club
make?
Enter your answer in the box.
Answers
The number of servings of the stew the club can make is 24
Calculating the servings of the stew the club can make?From the question, we have the following parameters that can be used in our computation:
The dot plot
From the dot plot, we have
Total = 4/8 * 2 + 6/8 + 1 * 3 + 1 2/8 * 1
Evaluate
Total = 6
Each serving can take 1/4 pounds
So, we have
Total = 6/(1/4)
Evaluate
Total = 24
Hence, the servings of the stew the club can make is 24
Read more about dot plot at
https://brainly.com/question/27861010
#SPJ1
Their food and beverage cot $25. 30 and there i an 8% meal tax After adding a tip, the total lunch cot wa $32. 24. What percentage tip did they give? Enter your anwer to the nearet percentage
Answers
A tip of 18% was given to the restaurant after the meal and tax to the nearest percentage.
Cost of the food = $25.30
Tax on the food cost = 8%
Tax amount
= 8% of 25.30
= 0.08 × 25.30
= 2.204
Total cost of food before tip = 25.30 + 2.204 = $27.504
Tip given = 32.24 - 27.504 = 5.036
Tip percentage
= 5.036 / 27.504 × 100%
= 18.31%
≈ 18%
Hence a tip of 18% was given to the restaurant after the meal and tax to the nearest percentage.
Percentage increases and decreases are calculated by computing the difference between two numbers or by comparing that difference to the starting value.
One can calculate how significantly the initial value has changed mathematically by dividing the result by the starting value and using the absolute value of the difference between the two values.
To learn more about percentage visit:
https://brainly.com/question/9622811
#SPJ4
Find all solutions of the equation algebraically.
|x2 + 9x| = 6x + 54
Answers
The solutions to the equation are x= -9 and x = 6
How to determine the valueFrom the information given, we have that;
|x2 + 9x| = 6x + 54
To solve the quadratic equation, collect the like terms, we have;
x² + 9x - 6x = 54
subtract the terms
x² + 3x = 54
Put in standard form
x² + 3x - 54 = 0
Find the pair factors of -54 that add up to give 3 and substitute the values
x² + 9x - 6x - 54 = 0
group in pairs
(x² + 9x) - (6x - 54) = 0
factorize the expressions
x(x + 9) - 6(x + 9) = 0
Then, we have;
x- 6 = 0
x = 6
x + 9 = 0
x = -9
Learn about quadratic equations at: https://brainly.com/question/1214333
#SPJ1