well, let's recall that a year has 12 months, so 9 months is really 9/12 of a year
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1413\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases} \\\\\\ I = (1413)(0.05)(\frac{3}{4}) \implies I = 1413(\frac{3}{80})\implies I\approx 52.99[/tex]
Combine like terms to simplify this expression:
8 + 7y + 2y + 4
Answer: The resulting expression is 8+9y+4, which simplifies to 12+9y.
Step-by-step explanation: To combine like terms, we add the coefficients of the terms that are the same. In this expression, the like terms are 2y and 7y. Their coefficients are 2 and 7, respectively, so when we add them we get 2+7=9. The resulting expression is 8+9y+4, which simplifies to 12+9y.
Evaluate 8/9 power of 2 as a fraction in simplest form
Answer:
64/81 or, 0.790123456 repeating
Step-by-step explanation:
use the properties of exponents to get 8^2/9^2 and then evaluate to get the answer.
The figure shows two circles, with centers A and B, externally tangent at point C. The common tangents to the two circles meet at point P and AP = 30. If the radius of the circle with center A is 10, what is the length of BP?
The length of the line segment BP = 15 using the trigonometric ratio of sine for the angle P.
What are trigonometric ratiosThe trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.
Considering the right triangles formed by points at P, A and the tangent to the bigger circle with its radius as base;
radius r = 10 and hypotenuse AP = 30
sinP = 10/30 {opposite/hypotenuse}
sinP = 1/3
Also for the smaller circle, with right triangle formed by points at P, B and the tangent to the smaller circle with its radius as base;
radius r and hypotenuse BP = 20 - r
sinP = r/(20 - r)
1/3 = r/(20 - r)
3r = 20 - r {cross multiply}
3r + r = 20 {collect like terms}
4r = 20
r = 20/4 {divide through by 4}
r = 5
BP = 20 - 5
BP = 15
Therefore, length of the line segment BP is derived using the trigonometric ratio of sine as 15.
Know more about trigonometric ratios here: https://brainly.com/question/23130410
#SPJ1
x - (-3) + 8 - 2x - 6 =
Answer:
-x + 5
Step-by-step explanation:
x - (-3) + 8 - 2x - 6 = x - 2x + 3 + 8 - 6 = -x + 5
Answer:
[tex] \sf \: -x + 5 [/tex]
Step-by-step explanation:
Given expression,
→ x - (-3) + 8 - 2x - 6
Let's simplify the expression,
→ x - (-3) + 8 - 2x - 6
→ x + 3 + 8 - 2x - 6
→ (x - 2x) + (3 + 8 - 6)
→ (-x) + (5)
→ -x + 5
Hence, the answer is -x + 5.
GIVING BRAINLIEST! HELP
Answer:
The answer is a because the sign should be facing right but not be greater than or equal to.
What is the coefficient of x² in 3x 5?
The coefficient of the variable x² in the expression 3x+5 is 0
Given that,
The expression is 3x+5
To find : The coefficient of the variable x² in the expression
Coefficient is the number that is beside the variable in the equation.
The coefficient of x in 3x+5 is 0
A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6
As we can see that the term that is in multiplication with x² is 3.
Hence, the coefficient of x² in the equation 3x+5 is 0.
To learn more about the coefficient click here:
brainly.com/question/28975079
#SPJ4
please help: find the value of x
What is the value of x? (HINT: find the sum of the
interior angles of the pentagon first)
Answer:
(2x+10°) + (x°) +(2x-20°) = 540°
540 is the sum angle of the polygon
collect like terms
2x+x+2x+10°-20°=540°
5x-10°=540°
5x=540°+10°
5x=550°
x=550°/5
x=110°
(2(110)+10)+(110)+(2(110)-20)=540°
ASAP PLEASE WILL GIVE BRAINLIEST
The two (2) possible locations of point F include the following: F. [7, 9.5].
How to determine the coordinates of F?In this scenario, line ratio would be used to determine the coordinates of the point on the directed line segment that partitions the segment into a ratio of 5 to 3.
Mathematically, line ratio can be used to determine the coordinates of F and this is modeled by this mathematical expression:
F(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
Given the following parameters:
Point (x, y)= (4, 11)
Point (x, y) = (8, 9)
m:n = 3:1
Substituting the given parameters into the line ratio formula, we have;
F(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
F(x, y) = [(3(8) + 1(4))/(3 + 1)], [(3(9) + 1(11))/(3 + 1)]
F(x, y) = [(24 + 4)/(3 + 1)], [(27 + 11)/(3 + 1)]
F(x, y) = [(28)/(4)], [(38)/(4)]
F(x, y) = [7, 9.5]
Read more on line ratio here: brainly.com/question/14457392
#SPJ1
A store sells AA batteries in packages of 10 batteries. They also sell boxes of 10 packages, cases of 10 boxes, and cartons of 10 cases. How many AA batteries are in one case? One carton? 10 cartons?
Solve these problems any way you choose.
1) 1000 AA Batteries in one Case.
2) 10,000 AA Batteries in One carton.
3) 100,000 AA Batteries in 10 cartons.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The Store sells AA batteries in the order below:
⇒ 10 batteries in 1 packages
⇒ 10 packages in 1 box
⇒ 10 boxes in 1 case
⇒ 10 cases in 1 Carton
1) We want to determine how many AA batteries are in 1 Case;
Using Multiplication
Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box
= 1000 AA Batteries
2) We want to determine how many AA batteries are in 1 Carton;
From Part (a),
There are 1000 AA Batteries in 1 Case.
Since, There are 10 Cases in 1 carton.
Number of Batteries in 1 carton = 10 × 1000
= 10,000 AA Batteries
3) 10 Cartons
⇒ 1 carton = 10000 AA Batteries
Therefore, We get;
⇒ 10 Cartons = 10 × 10000
= 100,000 AA Batteries
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ1
What is an example of horizontal symmetry?
The examples of horizontal symmetry is B, C, H, E.
The term horizontal symmetry is defined as is a line about which the object is symmetric.
Here we know that the symmetry line or horizontal axis of a shape which divides the shape into two identical halves is known as horizontal line of symmetry.
Which defines that the axis here crosses across the shape to cut it into two equal parts.
Therefore, the English alphabets such as B, C, H, E, are the examples of horizontal symmetry.
In this case, here we have a horizontal line passing through the middle of the image and when the image is folded along this line, then we get the two halves overlapping and coinciding perfectly.
Therefore, this one is also an example for this could be a square or a rectangle or any other object that is symmetric horizontally.
To know more about Line here.
https://brainly.com/question/25727583
#SPJ4
Are parallel algorithms always faster than sequential algorithms?
Answer:
Step-by-step explanation:
Parallel algorithms are not always faster than sequential algorithms. In general, the speed of an algorithm depends on a variety of factors, including the complexity of the algorithm, the hardware it is running on, and the specific problem it is trying to solve.
There are some cases where a parallel algorithm can be faster than a sequential algorithm. For example, if an algorithm can be easily divided into smaller subproblems that can be solved independently and then combined to get the final result, it may be possible to speed up the overall computation by using a parallel algorithm to solve the subproblems in parallel. This can be particularly effective if the subproblems are large and can be solved using multiple processor cores or distributed across multiple computers.
However, there are also cases where a sequential algorithm may be faster than a parallel algorithm. For example, if the problem is relatively small and can be solved efficiently using a single processor, it may not be worth the overhead of dividing the problem into smaller subproblems and coordinating their solution in parallel. In addition, some algorithms may be more difficult to parallelize, or may not lend themselves well to a parallel solution, in which case a sequential algorithm may be a better choice.
Overall, it is important to carefully consider the specific problem and available hardware when deciding whether to use a parallel or sequential algorithm.
Suppose a shoe factory produces both low-grade and high-grade shoes. The factory produces at least twice as many low-grade as high-grade shoes. The maximum possible production is 500 pairs of shoes. A dealer calls for delivery of at least 100 high-grade pairs of shoes per day. Suppose the operation makes a profit of Birr 2.00 per a pair of shoes on high-grade shoes and Birr 1.00 per pairs of shoes on low-grade shoes. How many pairs of shoes of each type should be produced for maximum profit? Hint: Let x denote the number of high-grade shoes. Let y denote the number of low-grade shoes.
but can you make it clear more please
The total number of pairs of shoes produced should be 500 (the maximum possible production). The profit per day should be maximized, so we need to solve the following system of equations:
2x + 1y ≥ 100 (the number of high-grade shoes should be at least 100)
x + y = 500 (the total number of pairs of shoes produced should be 500)
Solving for x and y, we get:
x = 400 (high-grade shoes)
y = 100 (low-grade shoes)
Therefore, the factory should produce 400 pairs of high-grade shoes and 100 pairs of low-grade shoes for maximum profit.
How to optimize a factory’s production process to maximize profit?To optimize a factory's production process to maximize profit, the factory should focus on increasing efficiency and reducing costs. This can be done by streamlining processes, automating tasks, and utilizing data-driven decision making. Additionally, the factory should focus on reducing waste, lowering overhead costs, and developing cost-saving strategies. Finally, the factory should focus on finding new markets and expanding its customer base to increase revenue.
How to calculate the break-even point for a factory?The break-even point for a factory is the point where total revenue equals total costs. This can be calculated by subtracting the total variable costs (costs that change with production, such as raw materials and labor) from the total fixed costs (costs that are not affected by production, such as rent, insurance, and equipment). The difference is the break-even point, which is the total revenue needed to cover all costs and generate a profit.
To know more about production, visit:
brainly.com/question/14561487
Researchers were interested in the season records of the Major League baseball teams, including the Los Angeles Dodgers, and the Cincinnati Reds Baseball team. Researchers collected the data at the end of the season. This sample data collection method is considered to be:
On solving the provided question, we can say that by statistical data the term "cross sectional data" refers to information gathered by observing a characteristic at the same time.
what are statistical data?Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Produsul Personal waste from concerts
data across time numbers about the population
The term "cross sectional data" refers to information gathered by collecting a characteristic at the same time.
Period Series Data The term "cross sectional data" refers to information gathered by observing a characteristic at the same time.
To know more about statistical data visit:
https://brainly.com/question/14893265
#SPJ4
How do you plot the point 3?
Here the point 3 can be taken as (3,0) or (0, 3) ; For first, move right 3 units along the x-axis. No vertical component is there , as the y-coordinate is 0 here; For second, move 3 units along the y-axis. Since the x-coordinate is 0, there is no horizontal component.
A point is marked in a coordinate plane using its coordinates when it is plotted in a coordinate system.
The intersection of the x-axis, a horizontal number line, and the y-axis, a vertical number line, creates a 2D coordinate plane.
At the coordinate plane's origin, where the two axes (plural for axis) intersect, four right angles are formed. On a coordinate plane, a grid is frequently drawn to make it simpler to plot points.
In a 2D coordinate plane, a point's location is represented by an ordered pair of numbers (x, y). An ordered pair of numbers is used to represent the location of a point in a 2D coordinate plane (x, y). The first number in the pair represents the point's location along the x-axis, and the second number represents its location vertically (y-axis).
Count x squares from the origin along the x-axis, then count y squares in the direction of the y-axis to plot the point (x, y) in the coordinate plane.
Here the point 3 can be taken as (3,0) or (0, 3) ; For first, move right 3 units along the x-axis. No vertical component is there , as the y-coordinate is 0 here; For second, move 3 units along the y-axis. Since the x-coordinate is 0, there is no horizontal component.
To know more about Graph plotting here:
https://brainly.com/question/11616742#
#SPJ4
Find the product (8×+9y) (8×-9y)
Answer:64x^2-81y^2
Step-by-step explanation:
difference of the squares
The table shows the relationship between the participants walking and running for the week's cross-country practices. Walk (laps) 3 B 15 Run (laps) 5 10 D Total (laps) A C 40 At this rate, how many laps will the participants walk if the total distance is 16 miles? How many miles will they run? They will walk 6 laps and run 10 laps for a total of 16 miles. They will walk 9 laps and run 7 laps for a total of 16 miles. They will walk 10 laps and run 6 laps for a total of 16 miles. They will walk 5 laps and run 11 laps for a total of 16 miles.
At the given rate, we can say that they will walk 6 laps and run 10 laps for a total of 16 miles.
What is a direct proportional relationship?In a direct proportional relationship, we can say that the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
For the first question, we have that out of a total distance of 8 miles, and we can see that;
Walk is 3/8 of the distance.
Run is 5/8 of the distance.
Thus, the proportional relationships for the distances are given as follows:
Walked = 3/8 x Total Distance.
Ran = 5/8 x Total Distance.
We are told that the total distance is 16 miles and so;
Walked: 3/8 * 16 = 6 laps
Ran: 5/8 * 16 = 10 laps
Read more about proportional relationships at; brainly.com/question/10424180
#SPJ1
The scattered plot below shows the relationship between the total calories a meal has and the number of calories from fat.
If a meal has 300 calories from fat, how many total calories would you expect it to have?
Total 400 calories is expected to have a meal has 300 calories from fat the relationship between the total calories a meal has and the number of calories from fat .
what is scatterplot ?A scatter plot is a collection of dots that have been plotted along a horizontal and vertical axis. Statistics uses scatter plots because they can display the degree of connection, if any, between values of observable quantities or events (called variables). There are points on a scatter (XY) plot that depict the connection between two sets of data. The sample illustrates the weight and height of one person for each dot. Data points are plotted on a horizontal and vertical axis using scatter plots in an effort to demonstrate the degree to which one variable is influenced by another. The values of the columns selected on the X and Y axes determine where each row in the data table is represented by a marker, whose position.
given
300 calories from fat
total = 100 + 100 + 200
= 400 calories
Total 400 calories is expected to have a meal has 300 calories from fat the relationship between the total calories a meal has and the number of calories from fat .
To know more about scatterplot visit :-
https://brainly.com/question/30017616
#SPJ1
URGENT!! 25 POINTS!!!!!
What is the equation shown
by the following graph?
Answer:
denominator - 6234 is math
Step-by-step explanation:
write an explicit rule for -2, 5, 12, 19
The explicit rule for the sequence -2, 5, 12, 19 is
-2 + (n - 1) 7.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
We have,
-2, 5, 12, 19
This is an arithmetic sequence.
The first term.
a = -2.
The common difference.
d = 5 - (-2) = 7
= 12 - 5 = 7
= 19 - 12 = 7
Now,
The nth term of an arithmetic sequence.
= a + (n -1)d
= -2 + (n - 1)7
Thus,
The explicit rule is -2 + (n -1) 7.
Learn more about arithmetic sequence here:
https://brainly.com/question/10396151
#SPJ1
please help: solve for x
Step-by-step explanation:
in an isoceles triangle (both legs have identical length) the height from the top corner to the baseline shots the baseline into 2 identical halves.
so,
6x + 6 = 9x - 15
6 = 3x - 15
21 = 3x
x = 21/3 = 7
many greetings to your teacher from me : he/ she made a formal mistake. the angles at Y have to be indicated as right angles. because if the line WY is not the height but could have any angle with the baseline, this cannot be solved.
The width of a rectangle is the length minus 2 units. The area of the rectangle is 8 square units. What is the length, in units, of the rectangle?
The length of the rectangle is 4 units.
What is rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Let n be the length of the rectangle.
The width of a rectangle is the length minus 2 units.
The width = n - 2
The area of the rectangle is 8 square units.
The area of the rectangle = length x width
8 = n (n-2)
n²-2n - 8 = 0
n²-4n+2n - 8 = 0
n(n-4)+2(n-4) = 0
(n+2)(n-4) = 0
n = 4 and -2.
So the length is 4 units.
Therefore, 4 units are the length of the rectangle.
To learn more about the rectangular;
brainly.com/question/21416050
#SPJ1
Find the volume of given solid figure.
Answer:
48cm3
Step-by-step explanation:
Volume of a rectangular box = a.b.c
The volume of the solid figure: (2.2.5) + (7.2.2) = 20 + 28 = 48 cm3
elsa received a $80 dollar gift card for a coffee store. she used it in buying some coffee that cost $7.52 per pound. after buying the coffee, she had $34.88 left on her card. how many pounds of coffee did she buy?
Elsa purchased 6 pounds of coffee.
What is product pricing?The process of figuring out a product's quantitative worth based on both internal and external elements is called product pricing. Product price directly affects your company's entire success, including cash flow, profit margins, and client demand.
Here is an easy example of value-based pricing. When you bring a young child to a petting zoo, she expresses a desire to feed the goats. The goat food dispenser is topped off with a quarter. From a financial standpoint, there is the price of the goat food, which is around two cents.
Calculate the total cost of all the items you bought. To calculate the cost price, divide the total cost by the quantity of units purchased. To determine the ultimate price, use the selling price formula: Cost price plus profit margin equals selling price.
Since she started with $80 and ended with with $34,88, we can find the total amount she spent by subtracting these amounts:
$80 - $34.88 = $45.12
This means that she spent $45.12 on coffee. If each pound cost $7.52, we can divide $45.12 by $752 to see how many pounds she bought (ignoring tax):
45.12 / 7.52 = 6 pounds of coffee purchased
To know more about product pricing visit :
brainly.com/question/24494976
#SPJ1
Out of 30 students surveyed, 17 have a dog. based on these results, predict how many of the 300 students in the school have a dog?
in atwo digits Number The sum of the digits is 13 twice the term digits excceds
the units digits by one find the number
The two-digit number is 34.
What are integers?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.
What are whole numbers?If p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Among the rational number examples are 1/3, 2/4, 1/5, 9/3, and so on.
The given information can be translated into the following equation:
(10x + y) + (2x - y - 1) = 13
Where x is the tens digit and y is the units digit.
Solving for x and y, we get:
x = 3 and y = 4
So the number is 34.
To learn more about rational numbers visit:
https://brainly.com/question/1310146
#SPJ1
Gillian feeds the goats the same amount of hay each day. On May 3, she has 72 pounds of hay left. On May 5, she has 60 pounds of hay left.
Based on the information and the graph provided, how many ponds of hay does Gillian most likely have left on the day that she has most likely 3 pounds of grain left? Provide evidence to support your answer. Include algebraic representations for each situation as part of your support
Answer:56
Step-by-step explanation:
Let ttt be the initial number of trees.
Hint #22 / 5
MacDonald now has t-5t−5t, minus, 5 trees and each one produced 210210210 oranges this harvest.
The total number of oranges produced is 210(t-5)210(t−5)210, left parenthesis, t, minus, 5, right parenthesis.
Hint #33 / 5
Since the trees produced a total of 417904179041790 oranges, let's set this equal to 417904179041790:
\qquad210(t-5)=41{,}790210(t−5)=41,790210, left parenthesis, t, minus, 5, right parenthesis, equals, 41, comma, 790
Now, let's solve the equation to find the initial number of trees (t)(t)left parenthesis, t, right parenthesis.
Hint #44 / 5
\begin{aligned}210(t-5)&=41790\\&\\ \dfrac{210(t-5)}{\blue{210}}&=\dfrac{41790}{\blue{210}}&&\text{divide both sides by $\blue{210}$}\\ \\ t-5&=199\\ \\ t-{5}\pink{+5}&=199\pink{+5}&&\pink{\text{add }} \pink{5} \text{ to both sides}\\ \\ t&=204\end{aligned}
210(t−5)
210
210(t−5)
t−5
t−5+5
t
=41790
=
210
41790
=199
=199+5
=204
divide both sides by 210
add 5 to both sides
Hint #55 / 5
The equation is 210(t-5)=41790.210(t−5)=41790.210, left parenthesis, t, minus, 5, right parenthesis, equals, 41790, point
MacDonald's farm initially had 204204204 orange trees.
Related content
Charlotte has a loyalty card good for a 14% discount at her local grocery store. If the total cost, before tax and discount, of all the items she wants to buy is c, which expression represents the cost after the discount?
The expression that represents the cost after the discount is
y(c) = (7/50)c
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Charlotte has a loyalty card good for a 14% discount at her local grocery store.
Let the total cost, before tax and discount, of all the items she wants to buy is {c}. Now, let the expression that represents the cost after the discount is given by y(c). We can write -
y(c) = 14% of c
y(c) = (14/100) x c
y(c) = (7/50)c
Therefore, the expression that represents the cost after the discount is
y(c) = (7/50)c.
To solve more questions on expressing evaluation, visit the link below -
brainly.com/question/1041084
#SPJ1
How do you calculate quantity of seed?
The following is how you can calculate quantity of seed:
Sowing rate (kg/ha) = target plant population (p/m2) x TGW (g) x 100. % germination x % emergence.
What is Sowing rate?The quantity of seed necessary for a unit area of land to successfully grow any crop is known as Sowing rate. In other words, the Sowing rate for that crop of the land refers to the quantity of seed needed to successfully raise a crop on a given piece of land. The Sowing rate, on the other hand, refers to the quantity of seed needed to cover a given area of land.
Goals in calculating the Sowing rate:
to make sure there are enough plants in the field.in order to decrease seed waste.to be aware of how much seed will be needed in advance for a specific piece of land.to improve a crop's quality and yield.to lower the expense of growing crops.Learn more about Sowing
https://brainly.com/question/17073740
#SPJ4
Factor Completely 4q^6+8q^3
Answer:
4[tex]q^{3}[/tex]( q³ + 2)
Step-by-step explanation:
4[tex]q^{6}[/tex] + 8q³ ← factor out 4q³ from each term
= 4q³ (q³ + 2)
Answer:
4q^3(q^3 + 2)
Step-by-step explanation:
The GCF of the exponents is 3, and the GCF of the bases is 4q. So divide both numbers by 4q ^ 3 and get
4q ^ 6 / 4q ^ 3 = q ^ 3
8q ^ 3 / 4q ^ 3 = 2
so you get
4q^3 (q ^ 3 + 2)