Answer:
a) The negative sign indicates that progression is decreasing in time and decreases by 18 percent each month.
b) Antonio is expected to make a profit of 37445.17 in 7 months from now.
Step-by-step explanation:
a) The equation described on statement represents a geometrical progression, which is defined as:
[tex]y = C_{o}\cdot (1+ r)^{x}[/tex] (1)
Where:
[tex]C_{o}[/tex] - Initial amount, measured in monetary units.
[tex]r[/tex] - Rate, dimensionless. (The progression is increasing when [tex]r > 0[/tex], and decreasing when [tex]-1 < r < 0[/tex])
[tex]x[/tex] - Time, measured in months.
[tex]y[/tex] - Profit, measured in monetary units.
Given that [tex]y = 150,210\cdot (0.82)^{x}[/tex], we calculated the rate below:
[tex]1+r = 0.82[/tex]
[tex]r = 0.82-1[/tex]
[tex]r = -0.18[/tex]
The negative sign indicates that progression is decreasing in time and decreases by 18 percent each month.
b) If we know that [tex]x = 7[/tex], then the expected amount for Antonio in 7 months from now is:
[tex]y = 150,210\cdot (0.82)^{7}[/tex]
[tex]y = 37445.17[/tex]
Antonio is expected to make a profit of 37445.17 in 7 months from now.
An artist can draw 3 illustrations in 3.5 hours. How many hours will it take to
draw 15 illustrations? Explain or show how you found your answer.
Answer:
17.5 hours
Step-by-step explanation:
divide 15 by 3 to get 5,
multiply 5 by the amount of hours it takes to draw 3 illustrations so 5 x 3.5, the answer is 17.5
What is the value of x, y, z? Please answer need help soon
Answer:
x = 55
y = 55
z = 70
Step-by-step explanation:
x + 125 is a straight line, 180⁰ x+125=180 x=55⁰
since this is an isosceles triangle, x = z
and the sum of all angles in any triangle is 180⁰
55+55+y=180⁰
y = 70⁰
Answer:
x=55º, y=70º, z=55º
Step-by-step explanation:
We have that xº = 180º - 125º = 55º
As it is an isosceles triangle, we have xº = zº = 55º
Therefore, yº = 180º - (xº + zº) = 180º - (55º + 55º) = 180º - 110º = 70º
-2 1/3 - (-5) =
Solve please
Answer:
2 2/3
Step-by-step explanation:
Leonardo draws a cookie on graph paper using the scale shown below. The cookie has a diameter of 12.5 cm in the drawing. Which of the following drawings best represents the diameter of the cookie at the scale Leonardo chose?
Answer:
Where's the drawing at because I don't see anything man
I need help :(
Figure ABCD is a rhombus. Find the value of x.
The value of x is 32 degrees.
Rhombus
A rhombus is a special case of a parallelogram. In a rhombus, opposite sides are parallel and the opposite angles are equal. The rhombus is also called a diamond or rhombus diamond.
It is given in the question that there is a rhombus ABCD with ∠ DAC = 58 degrees.
We have to find the angle x or ∠ ADB.
We know the property that the diagonals of the rhombus perpendicularly bisect each other.
Hence, the rhombus is divided into 4 right triangles.
Hence,
∠DAC + ∠ADB = 180 - 90 = 90 degrees
58 + x = 90 degrees
x = 90 - 58
x = 32 degrees.
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If the martes obtained by a student in fiue subjects are 15, 14, 20, 17 d 25, then the probability of getting marks more than or equal to 20 is
Answer:
P(marks ≥ 20) = 0.4
Step-by-step explanation:
Marks gotten by the 5 students are;
15, 14, 20, 17, 25
Marks more than or equal to 20 are 2 in number namely 20 and 25.
Thus, probability of getting marks more than or equal to 20 is;
P(marks ≥ 20) = 2/5
P(marks ≥ 20) = 0.4
A triangular park has side lengths of 3x + 7, 20x and 2(x – 4).
Write a simplified expression to represent the perimeter of the park.
I explore this idea a bit. obviously x < 5 (because 5-x has to be positive.
2x-5 > 0 is a requirement, also, so x > 2.5 is required
The table shows the cost of renting a sound system for a concert. Isabel rents a sound system at 1 p.m. and plans to return it before 4 p.m. Complete: Isabel will pay $ if she returns the sound system by 4 p.m. If she is 30 minutes late, she will pay an additiona
Answer:
56
Step-by-step explanation:
its 56 b
We can conclude that -
Isabel will pay $60 if she returns the sound system by 4 p.m.If she is 30 minutes late, then she will pay $72.What is inequality?An inequality compares two or more numbers or expressions with one another. For example -
2x + 4y > 7
2x + 5y < 6
Given is the table that shows the cost of renting a sound system for a concert. Isabel rents a sound system at 1 p.m. and plans to return it before 4 p.m.
The total number of hours for which she will rent the sound system is -
{h} = 4 - 1 = 3 hours
{h} = 3 hours
Now, for 3 hours, the given inequality is -
2 < x ≤ 3
We can write the cost as $60.
If she is 30 minutes late, then she will pay $72.
Therefore, we can conclude that -
Isabel will pay $60 if she returns the sound system by 4 p.m.If she is 30 minutes late, then she will pay $72.To solve more questions on tabular inequality, visit the link below
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The winner of a 50 mile race drove his car to victory at a rate of 112.9094 mph. What was his time (to the nearest thousandth of an hour)?
His time was
hours.
(Round to the nearest thousandth.)
Answer:
0.443 hours
Step-by-step explanation:
time = total distance / mph
time = 50 / 112.9094
time ≈ 0.443 hours
Answer:
0.443 hours
Explanation:
Given following:
speed: 112.9094 mphdistance: 50 milesFormula:
[tex]\sf time \ taken = \dfrac{distance}{speed}[/tex]
Substitute values to find time taken:
[tex]\sf \rightarrow time = \dfrac{50}{112.9094 }[/tex]
evaluate
[tex]\sf \rightarrow time = 0.4428329262[/tex]
rounded to nearest thousandth
[tex]\sf \rightarrow time = 0.443[/tex]
If y is directly proportional to x and y =1200 when x=30, then what is the value of x when y=30?
Answer:
Y= 30
X= 0.75
Step-by-step explanation:
If the first Y was 1,200 and X was 30, then that means every time your divide Y by 40, you will get your X. It's the exact opposite if you want to find Y.
So you want to divide your Y, which is 30, by 40. Once who find your answer, you should have gotten 0.75 for X.
Why divide by 40? Good question. You divide by 40 because if you multiply your X example Y= 1,200, X= 30, you will get 30x40 which is 1,200. Do it the other way around divide 1,200 by 40, you get 30.
All in all your answer should be X= 0.75. If not tell me.
Thank You For Your Time
Solve for x
-2(x+6) =-36
Answer:
x= 12
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
-2(x+6)=-36
distribute the -2
-2x-12=-36
add 12 to both sides
-2x=-24
divide both sides by -2
x=12
how to solve this. help me ASAP
Step-by-step explanation:
if they are parallel they must be equal
Julius earns $47,800 a year working for a delivery service. He is single and pays $2,152.60 in state income
tax each year. He claims no dependents. What is the tax rate of Julius' state?
The tax rate is 4.50% if Julius earns $47,800 a year working for delivery service. He is single and pays $2,152.60 in state income tax each year.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Julius earns $47,800 a year working for delivery service. He is single and pays $2,152.60 in state income tax each year.
To find the tax rate:
tax rate = (2152.60/47800)×100
tax rate = (0.045)×100
tax rate = 4.50%
Thus, the tax rate is 4.50% if Julius earns $47,800 a year working for delivery service. He is single and pays $2,152.60 in state income tax each year.
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Bonnie filled her car’s gas tank. She put in 10 1/2 gallons and paid $15.36.
Write the ratio in fractional form to determine the cost of gasoline per gallon.
What is the cost of gasoline per gallon?
Answer:
1: 2 and $3.072
Step-by-step explanation:
According to the question, the data provided is as follows
10 half gallons
For this she paid $15.36
Based on the above information,
The ratio in fractional form is
= 1 ÷ 2
= 1 : 2
And, the cost of gasoline per gallon is
Since half of 10 gallons is 5
And, the amount paid is $15.36
So, the cost of gasoline per gallon is
= $15.36 ÷ 5
= $3.072
Step-by-step explanation:
Please help ill give brainliest!
Answer:
for the 1st one x=9 y=4
Step-by-step explanation:
the second triangle is twice the size of the first one
Sammy has a rectangular doormat on her porch. The mat is 4/5 m long and 1/2 wide. What is the area of the doormat?
Answer:
4/5 x 1/2
Multiply 4/5 x 1/2 by multiplying numerator times numerator and denominator times denominator.
4x1 4x1
____ Do the multiplications in the fraction ___
5x2 5x2
4/10 Reduce the fraction 4/10 to the lowest terms by extracting and canceling out 2.
2/5 0.4
The area of the given doormat is 0.4 meter square.
Here, we are given that Sammy has a rectangular doormat. The dimensions of the doormat are given as follows-
The length of the doormat is = 4/5 meters
and the breadth of the doormat is = 1/2 meters
The area of a rectangular figure is given by the formula as follows-
Area of a rectangle = length × breadth
Let the area of the rectangular doormat be A
Thus, in this case, we have-
A = 4/5 × 1/2
A = 4/ 10
A = 2/5
Now, converting the area obtained into a decimal number we get-
A = 0.4
Thus, the area of the given doormat is 0.4 meter square.
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How mathematics involved in merchandising??
Merchandising math is a multifaceted topic that involves many levels of the retail process, including assortment planning, vendor analysis, mark-up and pricing, and terms of sale.
I hope this helps :)
An election for favorite lunch snack is between Apples, Beets, and Carrots. Students voted for their top three from best to least. The results are: ABC : 41 BAC : 26 CAB : 42 How many votes will A have in total after B is eliminated due to the Hare method
Answer: after eliminating B due to Hare Method, A will have a total of 67 VOTES
Step-by-step explanation:
Given that;
The results are
ABC : 41
BAC : 26
CAB : 42
NOW
A>B>C = 41 ⇒ A has 41 votes
B>A>C = 26 ⇒ B has 26 votes
C>A>B = 42 ⇒ C has 42 votes
According to Hare method, least votes gainers will be eliminated and once eliminated, his/her/its votes will be transferred to the next choice of person/thing.
based on the question; B will be eliminated
so we have;
A>B>C = 41 ⇒ A has 41 votes
B>A>C = 26 ⇒ B has 26 votes
we eliminate B, the votes are transferred to the next (A)
A>C = 26 ⇒ A has 26 votes
C>A>B = 42 ⇒ C has 42 votes
SO in total
A votes = 41 + 26 = 67 VOTES
Therefore after eliminating B due to Hare Method, A will have a total of 67 VOTES
After eliminating B due to Hare Method, A will have a total of 67 votes
We have given that,the results are
ABC : 41
BAC : 26
CAB : 42
A>B>C = 41 ⇒ A has 41 votes
B>A>C = 26 ⇒ B has 26 votes
C>A>B = 42 ⇒ C has 42 votes
What is the Hare method?
The Hare method is least votes gainers will be eliminated and once eliminated,The votes will be transferred to the next choice of person/thing.
From the given question we have B will be eliminated
Therefore we have
A>B>C = 41 ⇒ A has 41 votes
B>A>C = 26 ⇒ B has 26 votes
We eliminate B, the votes are transferred to the next (A)
A>C = 26 ⇒ A has 26 votes
C>A>B = 42 ⇒ C has 42 votes
Therefore the total votes are
A votes = 41 + 26 = 67 votes
Therefore after eliminating B due to Hare Method, A will have a total of 67 votes.
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A wading pool holds 30 gallons. How many pints of water would be equivalent?
Answer:
240 Pints
Step-by-step explanation:
To convert 30 gallons into pints you need to multiply 30 by the conversion factor in order to get the volume amount from gallons to pints.
Answer: 240 pints
Step-by-step explanation:
One pint is equal to 0.125 gallons.
what if you use 24 cups of water. how much sugar do you need.
Make a ratio table
Answer:
24:?
Step-by-step explanation:
it depends on the ratio of cups of water to sugar.
For example: if there is one cup of sugar for every 12 cups of water. the ratio would be 24:2
WILL MARK BRAINLIEST IF CORRECT ANSWER! How many solutions??
Answer: infinite
Step-by-step explanation: since they have the same slope and y interscept it is a coincident line and has infinite solutions
y= 4-x
y= 4-x
Answer:
infinitely many
Step-by-step explanation:
when you simplify, you get the following two equations:
y=-x+4
y=-x+4
those two equations are the same, therefore it is many
PLEASE HELP!!! Angle ABC is a straight angle.
The measure of angle DBC is 25°. The measure of angle ABD is x°. What is the value of x
Answer:
x = 155
Step-by-step explanation:
These angles are supplementary, so they add up to 180 degrees. So:
180-25 = x
155 = x
Elisa withdrew $20 at a time from her bank account and withdrew a total of $140. Francis withdrew $45 at a time from his bank account and withdrew a total of $270. Who made the greater number of withdrawals? Justify your answer.
Answer:
Elisa made the greater number of withdrawals.
Step-by-step explanation:
Given that:
Elisa withdrew $20 at a time and a total amount of $140
Number of withdrawals by Elisa = [tex]\frac{Total\ amount\ withdrawn}{Amount\ withdrawn\ each\ time}[/tex]
Number of withdrawals by Elisa = [tex]\frac{140}{20}=7[/tex]
Francis withdrew $45 at a time and a total amount of $270
Number of withdrawals by Francis = [tex]\frac{270}{45}[/tex]
Number of withdrawals by Francis = 6
On comparing;
7 > 6
Hence,
Elisa made the greater number of withdrawals.
given h (x) = 4x+2x^2-1
[tex]12a+18a^2-1[/tex]
Answer: 12a+6a^2 -1
Step-by-step explanation:
4(3a)+2(3a)^2-1
In a game a spinnerwill land on red 45% of the time, yellow 15% of the time, and blue 40% of the time. If the spinner is spun three times, find the following probabilities.
Answer:
Step-by-step explanation:
if im correct it should be 100% but if its not then im sorry
HEEELLLLP GRADES ARE DUE In 4 HOURS
0.13(x + 2000 ) = 6,240
What is x?
Answer:
4240 is what x is eq to
Step-by-step explanation:
what equation is equal to the x axis x = 4, x +y = o, x = y, y = 4
The x-axis is equivalent to x = 4, x + y = 0, x = y, and y = 4, and the value of the x-axis is y = 0.
What is equivalent?Expressions that are equivalent do the same thing even when they have distinct appearances.. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s)
The Cartesian plane is what?A coordinate system is a plane with Cartesian coordinates. Each point is uniquely identified by a pair of numerical coordinates that are the signed distances from two fixed perpendicularly oriented lines to the point, measured in the same unit of length.Given that all of the y-values on the x-axis are zero, the x-axis' equation is y = 0.Similar to the x-axis, the y-axis also has all zero values, therefore the equation of the y-axis is x = 0.((This presupposes that we're referring to the Cartesian plane, i.e. we are limiting ourselves to two dimensions.)
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Which order is correct? 0.8. 1 2 3' 3 1. 0 -0.8, 2 1 1. 1 3 3 1 o 1 3. -0.8, 2 3 1 1 IN 1 -0.8 1
(A) just trust
ITs too good
15.
Find m of angle B
Complete the function table.
y= 3x + 5