A store sells backpacks in two sizes small and large . The large backpacks sell for 20% more than the smaller backpacks. If a large backpack costs $75, how much does the small size cost
Answers
Answer:
$50
Step-by-step explanation:
75x20%= 1500 then divided by 100 is 15. 75 - 15 is 50
75*20%=1500
Divided by 100 is is 15.75-15 is 50
Related Questions
a population grows exponentially with a proportionality constant of . how long will it take the population to double?
Answers
When population grows exponentially with a proportionality constant, k , this population will take 4.620 time to double.
What is Exponential Growth of a Population?If the population is growing exponentially, the rate of population change is directly proportional to its current size. So assume that the total population at some point in time t is y.
Next, write the differential equation subject to the condition that it increases in proportion to its magnitude. We can get rid of the proportional sign by introducing a constant of proportionality. We then isolate and integrate the variables of the differential equation thus formed and use the initial values to find the value of the constant of proportionality. We have , a population grows exponentially.
The proportionality constant, k = 15% = 0.15
The exponential growth function is y = y₀ eᵏᵗ
where y₀ --> initial population or at t = 0
k --> proportionality constant
t --> time
y --> is value of y at any t
let there be population y₀ at t = 0 . Then, we have to calculate how much time take the population to double.
2 yo = yo e⁰·¹⁵ᵗ
=> 2 = e⁰·¹⁵ᵗ
Introducing natural logarithms on both sides of above equation,
=> ln (2) = ln ( e⁰·¹⁵ᵗ )
=> ln (2) = 0.15t ( since ln e = 1)
=> t = ln(2)/1.5 = 4.620
Hence, required time is 4.620.
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Jordan's football team gained 12 yards on their first play. On the second play, the team lost 8 yards. Which expression could be used to describe the total yards gained by Jordan's team?
Answers
The total yards gained by Jordan's team is 4.
What is Expression ?
Mathematical statements called expressions must contain a minimum of two terms with either numbers, variables, or both, joined by an operator. The four different types of mathematical operators are addition, subtraction, multiplication, and division. For instance, the expression x + y is an expression where x and y are terms with an addition operator between them. Mathematical expressions can be divided into two categories: algebraic expressions, which include both numbers and variables, and numerical expressions, which solely contain numbers.
On first day, Jordan's football team gained 12 yards.
On second day, Jordan's football team lost 8 yards.
So, The total yards(net) would be :
= total yards gained by team - total yards lost by team
= 12 - 8
= 4 yards.
Here, total yards gained by team is the first expression while total yards lost by team is the second expression.
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Whats different for the functions
Answers
10^x
And with the g(x), you’ll get 10^(x+4). But if it were out of the parentheses, 10^x + 4 then it would shift upward 4 units.
can someone please help with these volume equations? 10th grade geometry. will reward brainly
Answers
Answer:
First picture - 20.42 m
Second picture - 12.9 m
Step-by-step explanation:
------------------------------------------------------------------------------------------------------------
Formula for pyramid:
\(V=b^2\frac{h}3\)
Where,
b = base - 3.5 m
h = height - 5 m
Thus,
\(V=3.5^2\frac{5}{3}\)
\(20.41667m^3\) ≈ \(20.42m^3\)
------------------------------------------------------------------------------------------------------------
Formula for pyramid:
\(V=b^2\frac{h}3\)
Where,
b = base - 3 m
h = height - 4.3 m
Thus,
\(V = 3^2\frac{4.3}{3}\)
\(12.9m^3\)
------------------------------------------------------------------------------------------------------------
Kavinsky
Geometry, please answer question ASAP
Answers
Answer:
Step-by-step explanation:
D
What is the mZB?
mzB
O
Answers
Answer:
Massimo Zanetti Beverage USA (MZB) is a vertically integrated coffee company
with roasting facilities in Suffolk, Va., and Moonachie, N.J.; four distribution hubs in the US; a coffee plantation in Hawaii; and both retail consumer brands and foodservice distribution.
Answer:
∠ B = 76°
Step-by-step explanation:
The 3 angles in a triangle sum to 180°
sum the 3 angles and equate to 180°
48° + ∠ B + 56° = 180° , that is
∠ B + 104° = 180° ( subtract 104° from both sides )
∠ B = 76°
1. Consider
dt
dy
=f(t,y),y(0)=y
0
. where f(t,y)=
2
1
(y+1)(3−y)t,y
0
=1 (a) (2 pts) Solve this initial value problem and write its exact solution y(t). (b) (5 pts) Use Euler's method with h=0.1 to obtain a numerical solution u(t) at t=3 and plot the numerical solution u(t) (solid line) along with the exact solution y(t) (dashed line) for 0≤t≤3. (c) (3 pts) Compute the error e
1
defined by e
1
=max∣u(t)−y(t)∣(0≤t≤3) for h=0.1, 0.05, and 0.025, and make a table showing the variation of e
1
with h. What do you observe? 2. Consider the second-order Runge-Kutta method (or improved Euler's Method), which is given by v
n+1
=v
n
+
2
h
(k
1
+k
2
), where k
1
=f(t
n
,v
n
),k
2
=f(t
n
+h,v
n
+hk
1
). (a) (7 pts) For the initial value problem considered in Problem 1, find a numerical solution v(t) at t=3 with h=0.1 and plot the numerical solution v(t) (solid line) along with the exact solution y(t) (dashed line) for 0≤t≤3. (b) (3pts) Compute the error e
2
defined by e
2
=max∣v(t)−y(t)∣(0≤t≤3) for h=0.1, 0.05, and 0.025, and make a table showing the variation of e
2
with h. What is the difference between the two numerical methods?
Answers
In problem 1, an initial value problem is given with a first-order differential equation. The exact solution, y(t), is obtained, and Euler's method is used with different step sizes to obtain numerical solutions, u(t), at t=3.In problem 2, the second-order Runge-Kutta method (improved Euler's method) is applied to the same initial value problem. The numerical solution, v(t), is obtained at t=3 with h=0.1.
In problem 1, the initial value problem is solved analytically to obtain the exact solution, y(t). Euler's method is then applied with different step sizes (h) to approximate the solution numerically at t=3. The numerical solution, u(t), is plotted alongside the exact solution, y(t), to visualize their comparison. The error, e1, is calculated as the maximum absolute difference between u(t) and y(t) over the interval [0, 3]. By varying the step size and computing e1, the effect of the step size on the accuracy of the numerical solution can be observed.
In problem 2, the second-order Runge-Kutta method is employed to approximate the solution numerically. The numerical solution, v(t), is computed at t=3 with h=0.1 and compared to the exact solution, y(t), through a plot. The error, e2, is calculated as the maximum absolute difference between v(t) and y(t) over the interval [0, 3]. By computing e2 for different step sizes and comparing it to e1 from problem 1, the difference between the two numerical methods can be observed in terms of accuracy and convergence.
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B is the midpoint of line AC and E is the midpoint of line BD. If A(-9,-4), C(-1,6), and E(-4,-3) find the coordinates of D?
Answers
Answer:
((-9 - 1)/2, (-4 + 6)/2) = (-5,1)
((-5 + x)/2, (1 + y)/2) = (-4,-3)
(-5 + x)/2 = -4
-5 + x = -8
x = -3
(1 + y)/2 = -3
1 + y = -6
y = -7
(-3,-7)
HURRY PLZZZZ
Find the volumes of the three-dimensional figures. Rectangular prism: m3 Pyramid: ft3
Answers
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
The pyramid would be a pyramid-shaped design, which usually built of stone. These structures are established through oldest to youngest in several regions of the world. volume of pyramid= \(\frac{1}{3} \times base \times \ height\)A prism is 3D, approaching one another in two identical shapes. Even these types are related to as 'bases.' Its bases can be q - axis, triangle, or any other polygon, rectangles are both sides of a prism.volume of prism = \(base \times \ height\)Answer:
For the first one it is 135 (The second option)
For the second one it is 128 ( The first option)
Step-by-step explanation:
this is correct on edg!
physically Stephanie bought a used one for 1500naira and sold it to her friend at profit of 4%
Answers
The amount by which Stephanie sold the item is given as follows:
1560 naira.
How to obtain the amount?The amount by which Stephanie sold the item is obtained applying the proportions in the context of the problem.
The amount at which the item was purchased is given as follows:
1500 naira.
Hence the amount at which the item was sold is given as follows:
1.04 x 1500 = 1560 naira.
Missing InformationThe problem asks for the amount by which Stephanie sold the item.
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
25°
(5x-19)
1149
Answers
Answer:
x=12
Step-by-step explanation:
25°+114°+(5x-19)°=180°
139°+(5x-19)=180°
5x-19=180-139
5x-19=41
5x=41+19
5x=60
x=60/5
x=12
(HELP PLEASE I BEG)The amount of money that Maria had in a savings account at the beginning of 2018 was $2,750. At the beginning of 2019, the same savings account now had $3,201 in it.
By what percent did Maria’s savings increase from 2018 to 2019? Show the work that leads to your answer and do not round.
Answers
Step-by-step explanation:
First, you need to find the difference 3201-2750=451, it has increased by 451, then divide the difference by the original number, which is 2750 because thats what she started off with (3201 would be the new number)
Increase% = Increase ÷ Original Number ×100
451÷2750×100=16.4%
The percent of Maria’s savings increase from 2018 to 2019 will be 16.4%.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The amount of money that Maria had in a savings account at the beginning of 2018 was $2,750.
And, At the beginning of 2019, the same savings account now had $3,201 in it.
Now,
The increased amount = $3,201 - $2,750
= $451
So, The percent of Maria’s savings increase from 2018 to 2019 is,
⇒ Increased percent = 451/2750 × 100
= 16.4%
Thus, The percent of Maria’s savings increase from 2018 to 2019 = 16.4%.
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Wendy and Connor each deposit 8,300 into accounts that earn 3.5% interest for 25 years Wendy's account earns annual simple interest sand Connor's account earns an annual compound interest who will earn more interest of 25 years and how much interest they will earn
Answers
Answer:
Connor will earn more interest because he is getting compound interest.
Step-by-step explanation:
I have to assume in this case that the interest is 3.5% Per year:
Simple Interest = P(r + t)
{P = Principle, r = interest rate, t = time)
Wendy = $8,300 x (3.5% x 25)
Wendy = $7,262.50 (2 d.p)
Wendy = $8,300 + $7,262.50
Wendy = $15,562.50
Compound Interest = \(P (1 +r )^{t}\)
{P = Principle, r = interest rate, t = time)
Connor = $8,300 x \((1 + 0.035)^{25}\)
Connor = $19,614.93
Wendy's Interest = $15,562.50 - $8,300 = $7,262.50
Connor's interest = $ 19,614.93 - $8,300 = $11,314.93
Connor earned more interest by $4,052.43
___________________________________________________
Hope this helps!
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complete the division equation. How many times does jack need to fill the glass?
Answers
Answer:
Alot
Step-by-step explanation:
Think abt it
X-3/18=12/9 solve for x
Answers
Answer:
X= 3/2
Step-by-step explanation:
hope this helps
Find the area of the parallelogram below by using the area formulas for rectangles and triangles.
Answers
The area of the parallelogram will be 180 square cm. Then the correct option is B.
What is the area of the parallelogram?Let H be the height and W be the width of the parallelogram.
Then the area of the parallelogram will be
Area of the parallelogram = H × W square units
The height and width of the parallelogram are 12 cm and 15 cm, respectively. Then the area of the parallelogram is given as,
A = 12 x 15
A = 180 square cm
The area of the parallelogram will be 180 square cm. Then the correct option is B.
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if the sides of a square measure 10 square root 6 units then find the length of the diagonal
Answers
Answer:
20\(\sqrt{3}\)
Step-by-step explanation:
The diagonal splits the square into 2 right triangles
Using Pythagoras' identity on one of the right triangles
With legs 10\(\sqrt{6}\) and hypotenuse the diagonal d, then
d² = (10\(\sqrt{6}\) )² + (10\(\sqrt{6}\) )² = 600 + 600 = 1200 ( take square root of both sides )
d = \(\sqrt{1200}\) = \(\sqrt{400(3)}\) = \(\sqrt{400}\) × \(\sqrt{3}\) = 20\(\sqrt{3}\)
can somebody please help me
Answers
Answer:
i think the answer is A
because the others doesn't make sence
A family that is known to have two children is selected at random
from amongst all families with two children. Find the probability that
both children are boys, given that there is a boy in this family. Please help me solve this problem.
Answers
Answer: one outta a mil
Step-by-step explanation:
find 3 1/6 + (-4 1/3).
Answers
Answer:
-1 1/6
Step-by-step explanation:
\(3\frac{1}{6} + (-4\frac{1}{3} )\)
Convert the mixed numbers into improper fractions
\(\frac{19}{6} + (-\frac{13}{3} )\)
Apply the rule: a + (-b) = a - b
\(\frac{19}{6} + (-\frac{13}{3} ) = \frac{19}{6} - \frac{13}{3}\)
The Least Common Multiplier of 6 and 3 is 6
Adjust the fractions on the LCM
\(\frac{19}{6} - \frac{26}{3}\)
Apply the Fraction Rule: \(\frac{a}{c} -\frac{b}{c} = \frac{a - b}{c}\)
\(\frac{19 - 26}{6}\)
Subtract the numbers
\(\frac{-7}{6}\)
Apply the Fraction Rule: \(\frac{-a}{b} = - \frac{a}{b}\)
\(-\frac{7}{6}\)
Convert improper fraction into a mixed number
\(-1\frac{1}{6}\)
Hope this Helps :)
If the 4th term of an A.P is 11 and sum of 4th and 5th term is 25. Find the common difference?
Answers
Answer:
\(3\)
Step-by-step explanation:
4th term+5th term = \(25\)
5th term = \(x\)
4th term = \(11\)
\(11+x=25\)
\(x=25-11\)
\(x=14\)
5th term= \(14\)
Common difference = 5th term - 4th term
\(14-11\)
\(=3\)
Luke has a bucket of 26 plastic chips, each marked with a different letter of the alphabet. He selects three chips, one at a time, and does not replace the chips after each selection. What is the probability that Luke will select S, C and L in that order?
Answers
Answer:
just needed to answer a question
Step-by-step explanation:
just think about what sounds like it goes together
the distance from Caleb's house to the school is 1.5 miles, and the distance from Ashley's house to the school is 3,520 feet . who lives closer to the.school , caleb or Ashlee? use numbers and words to.support your answer
Answers
Answer:
ashley
Step-by-step explanation
1.5 miles is 7,920 feet
GUYS PLEASE HELP ME OMG EVERYONE KEEPS SKIPPING:(((
please i need to finish!!
TYSM TO WHOEVER HELPED!
9. John bought a case of 12 boxes of Macaroni and Cheese for $11.99. When he got home, he noticed that the same case of Macaroni and Cheese was on sale at a different location for $10.49. How much would he have saved per box of Macaroni had he purchased it at the other location? Show work.
Answers
Answer:
12.5 cents per box
Step-by-step explanation:
First, find the price difference of the cases.
11.99 - 10.49 = $1.50
We want to find the money saved per box so divide $1.50 by 12.
1.50/12 = 12.5 cents
Jose bought 9 movie tickets for a total of $54. Adult tickets cost $8 each and child tickets cost $3.50. How many adult tickets did he buy?
Answers
Answer:
5
Step-by-step explanation:
5 x 8 = 40
3.50 x 4 = 14
In what part of South America was voting not restricted by race in the 19th century
Answers
PLease help, 100 points being given
Answers
Answer:
None of these
Step-by-step explanation:
\(\frac{x^{2}}{2} +\frac{y^{2}}{3} =\frac{4sin^{2}t}{2} +\frac{9sin^{2}t}{3} =5\times sin^{2}t\)
\(x^{2}+y^{2}=13\sin^{2} t\)
\(3x^{2}+2y^{2}=30\sin^{2} t\)
if the rate store is constant which statement correctly compares the cost of a package 20 cd's
Answers
Answer:
rufvkslvUtepgsohch. h,kh jblfc.using a single composite transformation matrix for k transformations of n points, what is the required number of multiplications?
Answers
The required number of multiplications using a single composite transformation matrix for k transformations of n points is n × k.
In computer graphics, composite transformation matrices are used to transform points and shapes. These matrices are created by combining multiple transformations into a single matrix, allowing for efficient processing of large amounts of data. The number of multiplications required to perform a composite transformation depends on the number of points being transformed and the number of transformations being applied.
If there are n points and k transformations, then the required number of multiplications is n × k.
This is because each point needs to be multiplied by the composite transformation matrix k times.
Therefore, the total number of multiplications is n × k.
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Theresa purchased 10 rakes and 15 shovels for $595. brett purchased 8 rakes and 20 shovels for $676. assume the rakes are all priced the same, and all shovels are priced the same.
Answers
The price of a rake and a shovel is $22 and $25 respectively.
Let's assume the price of a rake is x and the cost of a shovel is y.
Now, Theresa purchased 10 rakes and 15 shovels for $595.
10x + 15y = $595 -------------------(1)
Taking 5 common out from each side of the equation,
5( 2x + 3y) = 5( 119)
2x + 3y = 119 ------------------(2)
Brett purchased 8 rakes and 20 shovels for $676.
8x + 20y = $676 ------------------(3)
Multiply equation (2) by 4 and subtract from equation (3),
8x + 20y - ( 8x + 12y ) = 676 - 476
8x + 20y - 8x - 12y = 200
8y = 200
y = $25
Therefore,
10x + 15y = 595
10x + 15(25) = 595
10x + 375 = 595
10x = 595 - 375
10x = 220
x = $22
Hence, the price of a rake and shovel is $22 and $25 respectively.
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