Leia's ending balance after 5 years will be $3245.41. The solution has been obtained by using the concept of compound interest.
What is compound interest?
Both the principal and the interest that has accumulated over the previous period are used to compute interest. Compound interest accounts for the principal when calculating the interest for the subsequent month, in contrast to simple interest, which does not. In mathematics, compound interest is frequently denoted by the letter C.I.
We know that formula for compound interest is
[tex]A= P(1 + \frac{r}{n} )^{nt}[/tex]
So, here P = $2658 , n=12, t=5 and r = 0.04
Thus, we get
[tex]A= 2658(1 + \frac{0.04}{12} )^{60}[/tex]
[tex]A= 2658(1.00333})^{60}[/tex]
A = 2658*1.2207
A = $3245.41
Hence, Leia's ending balance after 5 years will be $3245.41.
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Find the Area of the figure below, composed of a parallelogram and two semicircles.
Round to the nearest tenths place.
16
5
18
The area of figure composing a parallelogram and two semicircles is 399.06 units².
What is a parallelogram?
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.
The base of the parallelogram is = 18 units
The height of the parallelogram is = 11 units
The area of a parallelogram is given as -
Area = Base × Height
Area = 18 × 11
Area = 198 units²
The diameter of the semicircle is = 16 units
The radius of semicircle is = 8 units
The area of the semicircle is given as -
Area = (1/2)πr²
Area = (1/2)π(8)²
Area = (1/2)π × 64
Area = 32π units²
The total area of the figure is given as -
Total Area = Area of Parallelogram + 2 (Area of semi-circle)
Total Area = 198 + 2(32)π
Total Area = 198 + 64π
Total Area = 198 + 201.06
Total Area = 399.06 units²
Therefore, the area of the figure is 399.06 units².
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Part B How many of each type of pepper will Andrew use for each type of sauce? Explain.
Andrew intends to make a second batch of Sauce 1 and Sauce II with 3,180 green peppers and 5,560 hot chili peppers.
What is the pepper will Andrew use?You've tried poblanos and like the heat they provide to homemade salsa, but you're ready to branch out. The good news is that there are more than 4,000 different varieties of chili peppers in the world, and more are constantly being created.
Andrew prepares hot salts. his first batch will have 4 chili peppers and 6 green peppers, while his second batch will contain 3 green peppers and 10 chili peppers. We therefore need to know how many of each he requires.
To give you an idea of how many peppers to use per bottle of hot sauce, we suggest using at least two really hot peppers per bottle for a sauce with a lot of heat. In addition, habaneros can be made with 4-6 peppers.
Therefore, 975 green peppers and 1,250 hot peppers are purchased by Andrew. He uses all of those peppers to make both types of sauce.
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Payton did not spend $15.00 at the grocery store. Write an inequality to represent the amount Payton spent. Then wrote two examples of amounts Payton might have spent.
A possible inequality to represent the amount Payton spent is x >15, and two examples of the possible amount of money Payton spent are $30 and $6.
What is inequality?This is a mathematical expression that represents a situation using symbols such as ≥ (greater or equal to) or < (less than).
What is a possible inequality in this case?A possible inequality is 15 >x or 15 <x, which means the amount of money spent was less than or more than 15.
Some possible values within this range are:
$10
$2
$6
$30
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Help me please! (Worth 30 points!)
Question 8: A system of equations is given.
-2y = 2 - 3x
-5y = 10 - 5x
Part 1: Use elimination to solve the system of equations & show all work.
Part 2: Identify the values for x & y by filling in the blanks below.
x = ______
y = ______
The solution of the system of equation using elimination method is x = -2, y = -4
How to solve system of equations using elimination method?The elimination method is a method used to solve systems of linear equations. It involves manipulating the equations in such a way that one of the variables is eliminated, resulting in an equation in one variable that can be easily solved.
-2y = 2 - 3x --- (1)
-5y = 10 - 5x ---(2)
To eliminate y, multiply (1) by -5 and multiply (2) by -2. Then subtract the result. That is:
-5 × (-2y = 2 - 3x) => 10y = -10 + 15x
-2 ×(-5y = 10 - 5x) => 10y = -20 + 10x
.......................................................................
0 = 10 +5x
.........................................................................
0 = 10 +5x
5x = -10
x = -10/5
x = -2
put x = -2 in (1):
-2y = 2 - 3x
-2y = 2 -3(-2)
-2y = 2 + 6
-2y = 8
y = -8/2
y = -4
Thus, x = -2, y = -4
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please help for algebra 1
Answer:
A: first choice
x^4
Step-by-step explanation:
When you divide two powers with the same base, you subtract the exponents, not divide.
The step x^8/x^4 is correct.
The next step should be x^(8 - 4), not x^8/4.
The correct simplification is x^4.
Answer:
A: first choice
x^4
a logarithm is defined as the power to which a base must be raised in order to equal a given number, why can't we have negative bases
Negative bases are not often used in logarithms because they produce complex results. For example, if the base is negative and the exponent is positive, the result will be a complex number.
Logarithms are generally used to solve equations or simplify complex problems. Having a negative base would complicate this process, as it would introduce complex numbers or even imaginary numbers into the equation. Consequently, it is not feasible to use negative bases with logarithms. Furthermore, if both the base and the exponent are negative, the result is undefined. This means that it is not possible to evaluate the expression. Therefore, for these reasons, it is usually not practical to use negative bases when working with logarithms.
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Need asap pls broooo
The angles in the quadrilateral are as follows:
g = 116 degrees
h = 64 degrees
How to find the angles of a quadrilateral?A quadrilateral is a polygon with 4 sides. The sum of angles in a quadrilateral is 360 degrees.
Therefore, let's find the angles g and h in the quadrilateral. According to the diagram, the quadrilateral has opposite side parallel to each other.
Therefore, the diagram can be regarded as a parallelogram.
Hence, adjacent angles of the diagram are supplementary.
Supplementary angles add up to 180 degrees.
Therefore,
116 + h = 180
h = 180 - 116
h = 64 degrees.
Therefore,
64 + g = 180
g = 180 - 64
g = 116 degrees.
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let p be the set of all people and let t(x,y) be the statement x trusts y. write the given statement using variables, quantifiers and symbols only
The given statement using variables, quantifiers and symbols only ∀x ∈ p, ∃y ∈ p, t(x,y).
Predicate variables are quantified using quantifiers. It contains a formula, a type of statement whose veracity depends on the values of various parameters.
A predicate turns into a proposition when we give it a definite value. Another way to put it is that the predicate will turn into a proposition if it is quantified.
Therefore, the phrase "quantify" refers to quantifiers like "all" or "some."
The two basic categories of quantifiers are existential and universal quantifiers.
Additionally, it demonstrates whether the predicate is true or false for all conceivable values or for specific value(s) inside the realm of discourse.
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Only variables, quantifiers, and symbols are used in the following statement: ∀x ∈ p, ∃y ∈ p, t(x,y).
Only variables, quantifiers, and symbols are used in the supplied statement.
Quantifiers are used to quantify predicate variables. It includes a formula, which is a sort of assertion whose truth is determined by the values of several factors.
When we assign a definite value to a predicate, it becomes a proposition. Another way to say it is that if the predicate is quantified, it becomes a proposition.
As a result, the term "quantify" refers to quantifiers such as "all" or "some."
Existential and universal quantifiers are the two primary types of quantifiers.
It also shows whether the predicate is true or false for all possible values or for specified value(s) inside the scope of discourse.
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How to factor -25-15mn
The factorization of -25-15mn is -5(5+3mn)
What is factorization?Factorising is the reverse process of expanding brackets. To factorise an expression fully, means to put it in brackets by taking out the highest common factors. The simplest way of factorising is: Find the highest common factor of each of the terms in the expression.
For example 5( 3x+ 2y+ 4z) can be expanded into 15x + 10y + 20z and moreover 15x + 10y + 20z can be transformed by finding the factors between each terms, here the factor is 5; 5( 3x + 2y +4z)
Similarly to factorize -25-15mn we find the factor that is common to -25 and - 15 . The common factor is -5.
therefore factorizing -25-15mn we bring -5 out of -25 and -5
= -5( 5+3mn)
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what expressions are equivalent to 3 (9p+2r)
Answer:
greetings
27p+6r, is an expression which is equivalent to 3 (9p+2r).
What is the answer? Please explain how you got the answer too!!
The correct sentence to describe in the parent function is,
⇒ Shifted up.
⇒ Horizontal stretch
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
The function is,
⇒ f (x) = x
Here, The graph of the parent function of f (x) = x is shown in figure.
Hence, We get;
The correct sentence to describe in the parent function is,
⇒ Shifted up.
⇒ Horizontal stretch
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A right triangle has a hypotenuse that is 21 inches long and a leg that is 15 inches long. How long is the other leg of the triangle?
Answer: In a right triangle, the length of the hypotenuse is the square root of the sum of the squares of the other two legs. So, using the Pythagorean theorem, the other leg would be the square root of (21^2 - 15^2) = (441 - 225) = 216 = 14.69 inches.
Step-by-step explanation:
PLEASE SOMEONE HELP ME!!
I need this turned in by 10
Slope-intercept form (y=mx+b) of linear equations highlights the slope (m) and the y-intercept (b) of a line.
Define slope -intercept form?
The steepness of line is a slope (m). The point on the line is in the form of (x1, y1). The Point Slope Form Formula is, y – y1 = m (x – x1).Point-Slope Form of a LineSubstitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b. Point-slope form = y − y 1 = m ( x − x 1 ) , where ( x 1 , y 1 ) is the point given and m is the slope given.A simple definition of point-slope form is an equation of a line written using one point on the line and the slope of the line. The point form is written as (x,y) and the slope is the rise over run, or the ratio of the change in the y values over the change in the x values.
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Charles is going to purchase a new car that has a list price of $21,450. He is planning on trading in his good-condition 2004 Dodge Neon and financing the rest of the cost over three years, paying monthly. His finance plan has an interest rate of 12. 28%, compounded monthly. Charles will also be responsible for 6. 88% sales tax, a $1,089 vehicle registration fee, and a $124 documentation fee. If the dealer gives Charles 80% of the listed trade-in price on his car, once the financing is paid off, what percent of the total amount paid will the interest be? (Consider the trade-in to be a reduction in the amount paid. ) Dodge Cars in Good Condition Model/Year 2004 2005 2006 2007 2008 Viper $7,068 $7,225 $7,626 $7,901 $8,116 Neon $6,591 $6,777 $6,822 $7,191 $7,440 Intrepid $8,285 $8,579 $8,699 $9,030 $9,121 Dakota $7,578 $7,763 $7,945 $8,313 $8,581 a. 17. 64% b. 15. 67% c. 16. 70% d. 12. 86% Please select the best answer from the choices provided A B C D
Percent of the total amount a per the given list price, documentation fee , registration fee and other payment paid by Charles is given by :
Option c. 16.70%
Cost of his old 2004 Dodge Neon = $6591
Sales tax = 6.88%
Dealer gives 80% trade in price on hos car
After tax selling price of the car
= 6,591 × (80/100) × [ 1 - (6.88/100) ]
= $4910.03
= $4,910
Vehicle registration amount = $1,089
List price of car = $21,450
Documentation fee = $124
Total cost of the car
= $21,450 + $1,089 + $124
= $22,663
Net amount Charles needs to pay
= $22,663 - $4,910
= $17,753
Monthly payment at the rate of 12.28% compounded monthly for 3 years
= 17753 [ 12.28%( 1+ 12.28%)^3 / [( 1+ 12.28%)^3 -1 ]
= $592
Total amount paid by Charles
= $592 × 36
= $21,312
Total interest paid by Charles
= $21,312 - $17,753
= $3,559
Percent of the total amount
= ( $3,559 / $21,312 ) × 100
= 16.699%
= 16.70%
Therefore, the percent of the total amount paid by Charles is equal to Option c. 16.70%.
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data collected at the same, or approximately the same point in time are a. time series data. b. approximate data. c. approximate time series data. d. cross-sectional data.
Data collected at the same, or approximately the same point in time are Cross- sectional data
In statistics and econometrics, cross-sectional data, or a cross section of a study population, is a type of data gathered by monitoring numerous subjects (such as individuals, firms, countries, or regions) at one point or throughout the course of time. It's also possible that the analysis disregards variations in time. Cross-sectional data analysis often entails contrasting the variations among pre-selected respondents.
For instance, if we wanted to determine the prevalence of obesity in a population, we could randomly select a sample of 1,000 people (also referred to as a cross section of that population), measure their height and weight, and then determine what proportion of that sample falls under the definition of obesity. With the use of this cross-sectional sample, we are able to get a current picture of that group. Be aware that based on a single cross-sectional sample, we cannot determine whether the prevalence of obesity is rising or falling; we can only describe the current proportion.
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16. Jake borrowed money to purchase a new bike. He has paid back $65 of the money he
borrowed, but he still owes $185. What was the total amount Jake originally borrowed?
Answer: $250
Step-by-step explanation:
If Jake still owes $185 and only just paid back $65, you need to add 185 and 65 together to get the total amount that he borrowed.
On the screenshot is my question.
The solution is Option A.
The inequalities have one common solution
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equations be represented as A and B
The value of A is
( 1/2 )x + 8 ≤ 10 be equation (1)
-3x - 24 ≤ - 36 be equation (2)
On simplifying the equation (1) , we get
Subtracting 8 on both sides of the equation , we get
( 1/2 )x ≤ 2
Multiply by 2 on both sides of the equation , we get
x ≤ 4
And , on simplifying the equation (2) , we get
Adding 24 on both sides of the equation , we get
-3x ≤ -12
Multiply by -1 on both sides of the equation , we get
3x ≥ 12
Divide by 3 on both sides of the equation , we get
x ≥ 4
So , the common solution to the inequalities is x = 4
Hence , the inequalities have solution at x = 4
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Help please! God bless the person who helps
Answer:
3/2
Step-by-step explanation:
slope is rise over run:
3/2
ec
19. Lennon bought two books for $21.00. One book
cost $8.00. Solve the equation 21 = b + 8 to find
b, the cost of the other book.
Answer:
b = 13
Step-by-step explanation:
21 = b + 8 Subtract 8 from both sides
21 - 8 = b + 8 - 8
13 = b
Answer: 13
Step-by-step explanation:
He bought two books for $21, and one of the books was $8. With this, we know that if we subtract 8 from 21, we can get "b", or the cost of the other book
21 = b + 8
-8 -8
13 = b
b = 13
Therefore, b = 13, or $13 for the other obok
Please help me mark u brainliest anuthing please i beg u :
in the interval 0 x 360 find the values of x for which tan x =-0. 6745
The required values of x in the interval 0° ≤ x ≤ 360° are 146.1° and 326.1°, when the value of tan x is given.
The interval of angle is given as 0° ≤ x ≤ 360°.
The value of x for which tan x is given as, tan x = - 0. 6745.
We have tan negative in two of the four axes, they are second (90° - 180°) and fourth quadrants (270° - 360°).
So, tan x = - 0. 6745
x = tan⁻¹ (- 0. 6745) = -33.9
As periodicity of tan x is 180°, x = 180-33.9 = 146.1°
x = 360-33.9 = 326.1°
Thus, the required values of x in the interval 0° ≤ x ≤ 360° are 146.1° and 326.1°, when the value of tan x is given.
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X is a positive integer.
33 + x is a positive integer.
Work out the four possible values of x, writing your values in ascending order.
smallest
value
largest
value
The possible values of x such that 33+x remains a positive integer in ascending order are 1,3,11 and 33.
An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.
Integer; ....-2, -1, 0, 1, 2, .....
Given the expression, 33+x
Now positive integers are whole numbers ( 1,2,3,...)
To 33/x be the whole number and x is also a positive integer.
33/1 = 33 (1,3 Positive integer)
33/3 = 11 (3,11 Positive integer)
33/11 = 3 (11,3 Positive integer)
33/33 = 1 (33,1 Positive integer)
Hence "The possible values of x such that 33+x remains a positive integer in ascending order are 1,3,11 and 33".
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with two straight cuts, we can divide a flat pancake into four pieces: [asy] size(4 cm); draw(circle((0,0),1)); draw(rotate(45)*(1,0)--rotate(200)*(1,0),dashed); draw(rotate(150)*(1,0)--rotate(330)*(1,0),dashed); [/asy] what is the fewest number of straight cuts that will divide a flat pancake into $16$ pieces? (the pieces do not need to be the same shape or size.)
The fewest number of straight cuts needed to divide a flat pancake into 16 pieces is 5. This can be done by cutting the pancake into 4 pieces, then the 4 pieces into 4, and the resulting 16 pieces into 2.
The fewest number of straight cuts needed to divide a flat pancake into 16 pieces is 5. To do this, start by making one straight cut to divide the pancake into two equal pieces. Then make two more cuts, spaced evenly around the circumference, to divide the pancake into 4 equal pieces. Next, make two more cuts, spaced evenly around the circumference, to divide the 4 pieces into 4 even smaller pieces. Finally, make one last cut, spaced evenly around the circumference, to divide the 16 pieces into 2 equal pieces, giving you a total of 16 pieces. With this method, you can divide a flat pancake into 16 pieces with just 5 straight cuts.
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graph y=|x+4|
Please help!!
The graph for the points (-6, 2), (-5, 1), (-4, 0), (-3, 1) and (-2, 2) is plotted as below.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is y=|x+4|.
Graph the absolute value using the vertex and a few selected points.
Plot the points (-6, 2), (-5, 1), (-4, 0), (-3, 1) and (-2, 2)
Therefore, the graph for the points (-6, 2), (-5, 1), (-4, 0), (-3, 1) and (-2, 2) is plotted as below.
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GEOMETRY
this triangle has a depression of 10 degrees and it’s 1150 feet long. i’m supposed to find the height but i don’t know how !? pls help
I think this is it if not I'm sorry
78264 in
if distance between points p(3,a) and q(3,1 is 4 units find the value of a
Answer: -3 AND 7
Step-by-step explanation: very important to include the and, as it that point could be to the right or left of (3,1)
Find the reflection of point A over the y-axis.
A (-3,-9)
The coordinates of point A after a reflection over the y-axis are given as follows:
A(3,-9).
How to obtain the coordinates of point A?The original coordinates of A are given as follows:
A(-3,-9).
The rule for a reflection over the y-axis is given as follows:
(x,y) -> (-x,y).
Meaning that the x-coordinate has the signal exchanged while the y-coordinate remain constant, hence the coordinates of point A after a reflection over the y-axis are given as follows:
A(3,-9).
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What is the midpoint to this line segment?
Answer:
I think 5
Step-by-step explanation:
Would anyone know this ?
There are two possible options for points and distances:
M = - 14, AM = 0, MB = 49, AB = 49M = 6, AM = 20, MB = 29, AB = 49How to determine the coordinates of point M and distances between points
In this problem we need to determine the location of point M and distances between points A, M and B. This can be done by means of differences on number line and algebraic equations:
M - A = x² - x
M - (- 14) = x² - x
M + 14 = x² - x
M = x² - x - 14
B - M = 5 · x + 4
35 - M = 5 · x + 4
M = 31 - 5 · x
Then, we eliminate M and find the solutions to the resulting quadratic equation:
x² - x - 14 = 31 - 5 · x
x² + 4 · x - 45 = 0
(x + 9) · (x - 5) = 0
x = - 9 or x = 5
Finally, we determine the possible values for M based on the fact that M is between - 14 and 35:
x = - 9
M = 31 - 5 · x
M = 31 - 5 · (- 9)
M = 31 - 45
M = - 14
AM = - 14 - 14
AM = 0
MB = 35 - (- 14)
MB = 49
x = 5
M = 31 - 5 · x
M = 31 - 5 · 5
M = 31 - 25
M = 6
AM = 6 - (- 14)
AM = 20
MB = 35 - 6
MB = 29
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Brainly to correct answer
Jaidon counted dishes in the kitchen cabinet. The table shows what was found.
Plates 10
Bowls 8
Cups 14
Write a ratio to compare plates to all dishes.
10:14
10 over 22
32 to 10
10 over 32
Answer:
10/32
Step-by-step explanation:
10+8+14 = all dishes = 32
10 = how many plates
In a ratio: 10/32
Select the correct answer from each drop-down menu.
The given equation has been solved in the table.
Step
Statement
& +5 – 5 = 23 – 5
į = 18
4. 5 = 4. 18
= 72
Use the table to complete each statement.
In step 2, the
In step 4, the
property of equality was applied.
property of equality was applied.
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In step 2. the addition property of equality was applied.
In step 2. the subtraction property of equality was applied.
We have solved the equation x/4 + 5 = 23.
In step second we subtract 5 on both side, this is the property of equality of addition.
In step 3 the expression is x/4 = 23
In step 4 we multiply 4 on both side, again using the property of equality of subtraction.
Now the value of x is 72.
Hence, using the property of equality in step 2 and 4 we solve the equation.
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The complete question is given below: