Amanda borrowed $8000 from two sources: her parents and a credit union. Her parents charged 3% simple interest and the credit union charged 6% simple
interest. If after 1 yr, Amanda paid $225 in interest, how much did she borrow from her parents, and how much did she borrow from the credit union?
Using the simple interests, we can say that:
Amanda borrowed $4500 from her parents.Amanda borrowed $500 from the credit union.In the question, we are given that Amanda borrowed $5000 from two sources: her parents and a credit union. Her parents charged 5% simple interest and the credit union charged 6% simple interest.We are asked to calculate how much did she borrow from her parents, and how much did she borrow from the credit union, if after 1 year, she paid $255 in interest.We assume that Amanda borrows $x from her parents.Then we know that she would have borrowed $(5000 - x) from the credit union as the total borrowed amount was $5000.We know that the simple interest (S.I.) on $P, at the rate of r%, for a period of t years, is calculated as S.I. = Prt/100.Thus, for the amount she borrowed from her parents, the simple interest is, S.I. = (x)(5)(1)/100 = x/20.For the amount she borrowed from the credit union, the simple interest is,S.I. = (5000 - x)(6)(1)/100 = (30000 - 6x)/100 = 300 - 3x/50.Thus, the total interest Amanda needs to pay is x/20 + 300 - 3x/50 = 300 - x/100.But, we are given that the total interest Amanda pays is $255.Thus, we can write that 255 = 300 - x/100,or, x/100 = 300 - 255,or, x/100 = 45,or, x = 4500.Thus, the amount Amanda borrows from her parents = $4500.The amount she borrows from the credit union is $(5000 - 4500) = $500.Thus, Using simple interests, we can say that:Amanda borrowed $4500 from her parents.Amanda borrowed $500 from the credit union.
A random sample of 49 people are selected from a population and it is found that 12 people in the sample are over six feet tall. what is the best point estimate of the proportion of people in the population who are over 6 feet tall? write your answer as a decimal using the appropriate rounding rule.
If a random sample of 49 people is selected from a population and it is found that 12 people in the sample are over six feet tall, then the best point estimate of the proportion of people in the population who are over six feet tall is 0.24
The point estimate is a term used in mathematics to calculate a single value as an approximate of a parameter of a population.
Point estimate can be given the formula:
point estimate = Number of successes / Total number of samples
In this case, the total number of samples = 49
number of people over six feet tall (successes) = 12
Therefore,
proportion of people over six feet tall = 12 / 49
proportion of people over six feet tall = 0.2448
Decimal can be rounded to two decimal places, if the third digit is less than 5, round the second digit down. On the other hand, if the third digit is more than 5, round the second digit up.
Therefore,
proportion of people over six feet tall = 0.2448 = 0.24
Thus the point estimate of the proportion of people in the population who are over 6 feet tall is calculated to be 0.24
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What is the probability of guessing all of the correct answers?
P(correct) = _______
Since each response is distinct, the odds of correctly predicting each response is 1/3× 1/3× 1/3, or 1/27.
Probability is the ability to happen. The occurrence of random events is the subject of this branch of mathematics. The value is expressed as a number between 0 and 1.
For instance, when a coin is tossed into the air, a Head or Tail are two possible results.
Hence, the term "probability" is most commonly used to refer to the likelihood that a specific event (or group of events) will occur, either as a linear scale from 0 (impossibility) to 1 (certainty) or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.
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ppppppllllllssss hhhhheeeeellllppppp
The expression 9x²y⁻³, for x = 5 and y = 3 simplifies to 25/3.
What is an improper fraction?A fraction in which the numerator is greater than the denominator is called an improper fraction.A fraction is called a proper fraction when the denominator is greater than the numerator.
Given an expression with exponents 9x²y⁻³, for x = 5 and y = 3.
In this, we have to replace the variables x and y with their numerical value in the given expression.
So, 9x²y⁻³, for x = 5 and y = 3 is,
= 9(5)²(3)⁻³
= 9(5)²/(3)³.
= 9.(25)/27.
= 1.(25)/3.
= 25/3.
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Tom rolls 2 fair dice and adds the
results from each.
Work out the probability of getting a
total more than 4
The probability of getting a total of more than 4 is 5/6.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.So, formula: P = favorable events/total events
Total outcomes = 36Favorable outcomes (sum more than 4) = 30(Refer to the image attached below)
Insert values in the formula as:
P = favorable events/total eventsP = 30/36P = 5/6Therefore, the probability of getting a total of more than 4 is 5/6.
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Suppose a line perpendicular to a pair of parallel lines intersects the lines at the points (a, 4) and (0,6). If the distance between the parallel lines is √5 , find the value of a and the equations of the parallel lines.
There are two possibilities: (i) Perpendicular line: y = 2 · x + 6, Parallel lines: y = - (1 / 2) · x + 7 / 2, y = - (1 / 2) · x + 6, (ii) Perpendicular line: y = - 2 · x + 6, Parallel lines: y = (1 / 2) · x + 7 / 2, y = (1 / 2) · x + 6.
How to determine the equations of a line and the two lines perpendicular to the former
The missing coordinate of one of the points of intersection can be found by using the least distance between the two parallel lines and the Pythagorean theorem:
(a - 0)² + (4 - 6)² = 5
a² + (- 2)² = 5
a² + 4 = 5
a² = 1
a = ± 1
There are two possibilities: (x₁, y₁) = (- 1, 4), (x₂, y₂) = (1, 4). Now we proceed to find the equations associated to each case:
(x₁, y₁) = (- 1, 4), (x₃, y₃) = (0, 6)
The equation of the perpendicular line is:
Slope
m = (6 - 4) / [0 - (- 1)]
m = 2
Equation of the line
y - 4 = 2 · (x + 1)
y - 4 = 2 · x + 2
y = 2 · x + 6
The slope of the two parallel lines is:
m' = - 1 / m
m' = - 1 / 2
First parallel line
y - 4 = (- 1 / 2) · (x + 1)
y - 4 = - (1 / 2) · x - 1 / 2
y = - (1 / 2) · x + 7 / 2
Second parallel line
y - 6 = - (1 / 2) · x
y = - (1 / 2) · x + 6
(x₂, y₂) = (1, 4), (x₃, y₃) = (0, 6)
The equation of the perpendicular line is:
Slope
m = (6 - 4) / (0 - 1)
m = - 2
Equation of the line
y - 4 = - 2 · (x - 1)
y - 4 = - 2 · x + 2
y = - 2 · x + 6
The slope of the two parallel lines:
m' = - 1 / m
m' = 1 / 2
First parallel line
y - 4 = (1 / 2) · (x - 1)
y - 4 = (1 / 2) · x - 1 / 2
y = (1 / 2) · x + 7 / 2
Second parallel line
y - 6 = (1 / 2) · x
y = (1 / 2) · x + 6
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Point W is located at (7, 3) on a coordinate plane. Point W
is translated 2 units to the left and 3 units up. What will
be the x-coordinate of the image point W' ?
The Image of the point W(7,3) after the translation is W'(5,6),hence the x-coordinate of the translated point is 5
Translation is used in co-ordinate geometry to find the co-ordinates of an image after moving the point from its original position.
A point on the cartesian plane is represented in the form of (x,y). Where x represents the position of the point along the x-axis and y represents the position of the p[point from the y-axis.The distance of the point from the origin is calculated by the distance formula based on Pythagorean theorem.When a points is translated to the left or downwards x and y coordinate values are decreased.When a points is translated to the right or upwards x and y coordinate values are increased.The given point is W(7,3). The point is translated 2 units to the left and 3 units upwards. Hence the new coordinates of the point is given by:
W(7,3)→W'(5,6)
Therefore the x-coordinate of the translated point is 5.
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ASAPPP!!!
PLSSS RQQ ANSWER JUST FOR THE LAST QUESTION AT THE VERY BOTTOM!!!
Based on the probability of getting a yellow on one spin, the number of yellows expected from 420 spins is 210 yellows
How many yellows are expected?The number of yellows you can expect are:
= Number of spins x Probability of getting yellow
Solving gives:
= 420 x 1/2
= 420 / 2
= 210 yellows
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The height h of a balloon, in feet, t seconds after it is released is given by the function
h(t)=2t+6. What is the value of h(20), and what does it mean in the context of the situation?
The value of h(20) is 46 and the meaning in the context of the situation is that the balloon is at 46 feet after 20 seconds
What is the value of h(20), and what does it mean in the context of the situation?The equation of the function is given as
h(t) = 2t + 6
For h(20), it means that t = 20
So, we have
h(20) = 2 * 20 + 6
Evaluate
h(20) = 46
Hence, the value of h(20) is 46 and the meaning in the context of the situation is that the balloon is at 46 feet after 20 seconds
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Slope = -2, y-intercept = -4
Y=
[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \implies {\LARGE \begin{array}{llll} y = \stackrel{m}{-2} x\underset{b}{-4} \end{array}}[/tex]
This is a course test, due kinda soon. Picture Is Problem
Answer:
4 and 4
Step-by-step explanation:
i could be wrong but same length and size
Angle 1 and Angle 2 are a Linear pair.
M angle 1 =x-20 and M angle 2 =x+28
Find the measure of each angle.
Angle 1 = ? Angle 2 = ?
Answer:
Answer: ∠1 = 109° ∠2 = 71°
Step-by-step explanation:
If the two angles form a linear pair, then their sum is 180°
∠1 + ∠2 = 180°
(5x + 9) + (3x + 11) = 180
8x + 20 = 180
8x = 160
x = 20
∠1 = 5x + 9
= 5(20) + 9
= 100 + 9
= 109
∠2 = 3x + 11
= 3(20) + 11
= 60 + 11
= 71
CHECK:
∠1 + ∠2 = 180°
109° + 71° = 180°
180° = 180°
Step-by-step explanation:
hope it helps
If 0²/₃=0 , why is 0⁻²/₃ undefined?
0²/₃ = 0 but 0⁻²/₃ is undefined because 1/0 is undefined.
Consider 0²/₃. So here, 0 has a positive power though a rational at that.
Any positive powers of 0 is considered as 0 itself. This expression also means that the square of the cubic root of zero. We know that cubic root of 0 is 0 and 0² = 0 itself. So we can conclude that 0²/₃ = 0.
Now consider 0⁻²/₃ .
We have [tex]a^{-b}=\frac{1}{a^b}[/tex].
So here, 0⁻²/₃ = [tex]\frac{1}{0^{\frac{2}{3}} }[/tex]
From the previous case, 0²/₃ = 0
So we get 0⁻²/₃ = 1/0, which is undefined.
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I NEEEEED HELPPPP PLEASEEEE
Answer:
D. y = -6x + 12
Step-by-step explanation:
(2, 0), (0, 12)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 12 - 0 12
m = ------------ = ------------ = ------- = -6
x₂ - x₁ 0 - 2 -2
y - y₁ = m(x - x₁)
y - o = -6(x - 2)
y = -6x + 12
I hope this helps!
983,512 × 1=
A. 983,512
B. 983,513
The value of 983,512 × 1 will be 983,512 by using the multiplicative identity of multiplication.
We are given the expression:
983,512 × 1
We need to find the result after multiplication.
Multiplication is one of the basic operations of mathematics that is used to simplify the expression.
Here, we will use the property of multiplicative identity as the number is multiplied by 1.
By using this, we get that the result will be the same number as anything multiplied by 1 will always give the same number.
So, we get that:
= 983,512
Therefore, we get that, the value of 983,512 × 1 will be 983,512 by using the multiplicative identity of multiplication.
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Which interval for the graphed function contains the local
maximum?
O
O [1, 2]
O[2,3]
O[3, 4]
[-1, 0]
Answer: The answer is C.
Step-by-step explanation:
Solve each equation. Check your answers.
log 6 x-3=-4
log (6x) - 3 = -4 => x = 0.167, by properties of logarithm.
What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Now,
log (6x) - 3 = -4 => log (6x) = -1
Since the base of the logarithm taken generally is 10, raising both the sides by 10:
[tex]10^{log_{10}(6x)}=10^{-1}[/tex]
=> 6x = [tex]\frac{1}{10}[/tex]
=> x = [tex]\frac{1}{60} = 0.167[/tex] (approx.)
Hence, log (6x) - 3 = -4 => x = 0.167, by properties of logarithm.
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Choose the correct term to complete each sentence.
(Radical functions/Inverse functions) are of the form f(x)=n√x
Radical functions are of the form f(x)=n√x.
If we want to find the inverse of a radical function, we will need to restrict the domain of the answer because the range of the original function is limited. Determine the range of the original function. Replace f(x) with y, then solve for x.
MORE: Radical - The √ symbol that is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol. Radical equation - An equation containing radical expressions with variables in the radicands.
To reverse that operation, you can find the square root of that power: In this case, the sign asks you to find which factor can be multiplied by itself twice to equal the expression inside the radical. (The expression inside the radical is also called the radicand.)
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Write each equation in logarithmic form. 2⁻³=0.125
[tex]log_{2} ( 0.125) = -3[/tex] is exponential equation in logarithmic form.
How can you tell whether an exponential function is growing or deteriorating?
As the exponential's base is greater than 1, which occurs when those numbers increase, we are seeing exponential growth. When the exponential's base is between 1 and 0, and those numbers decrease, we have exponential decay.Convert the exponential equation to a logarithmic equation using the logarithm base (2) of the right side ( 0.125) equals the exponent
( -3 )
[tex]log_{2} ( 0.125) = -3[/tex]
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E and F are sets of real numbers defined as follows.
E={v I v≤v3}
F={v I v>6}
Write E∪F and E∩F using interval notation.
If the set is empty, write ∅.
The union of the sets is E ∪ F = (-∞, 3] or (6, ∞) and the intersection of the sets E ∩ F = ∅ (null sets) is in interval notation.
What is set?
A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.
We have:
E and F are sets of real numbers defined as follows. E={v | v ≤ 3} F={v | v > 6}
E ∪ F = (-∞, 3] or (6, ∞)
E ∩ F = ∅ (null sets)
Thus, the union of the sets is E ∪ F = (-∞, 3] or (6, ∞) and the intersection of the sets E ∩ F = ∅ (null sets) is in interval notation.
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What is the slope and y-intercept of the line 3x - 2y = 12?
Answer:
Slope: (3/2)
y-intercept: (0, -6)
Step-by-step explanation:
3x - 2y = 12
-3x -3x
-2y = -3x + 12
÷-2 ÷-2 ÷-2
---------------------
y = (3/2)x - 6
Slope: (3/2)
y-intercept: (0, -6)
I hope this helps!
A manufacturer of candies has daily costs of T(x)=2x2−3200x+6800. T is the total cost in dollars and x is the number of units produced. How many units need to be produced to have minimum cost?
The units that need to be produced to have minimum cost is 800 units.
How to calculate the units?From the information, the manufacturer of candies has daily costs of T(x)=2x² - 3200x+6800.
Therefore, we will differentiate with respect to x. This will be:
T(x)=2x² - 3200x+6800.
4x - 3200
4x - 3200 = 0
4x = 3200
Divide
x = 3200/4
x = 800
Therefore, the units that need to be produced to have minimum cost is 800 units.
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What is the length of the long leg in the right triangle shown below? O A. 6 B. 3 C. 643 D. 6√2 30* N 60°
Answer:
c.) 6√3
Step-by-step explanation:
This can be solved using both sine and cosine rule.
1st method:
[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]
[tex]\sf sin(60) = \dfrac{long \ leg}{12}[/tex]
[tex]\sf long \ leg= 12sin(60)[/tex]
[tex]\sf long \ leg= 6\sqrt{3}[/tex]
2nd method:
[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]
[tex]\sf cos(30) = \dfrac{long \ leg}{12}[/tex]
[tex]\sf long \ leg= 12cos(30)[/tex]
[tex]\sf long \ leg=6\sqrt{3}[/tex]
Tarini took a math quiz. For each incorrect question, she lost 2 points. If Tarini got 5 questions incorrect, how many points did she lose? Represent your answer as an integer.
Answer: She lost 10 points
Step-by-step explanation:
She loses 2 points per the wrong answer. Therefore, do 2 times 5. That gives you ten.
An integer is just a positive whole number btw!
I hope this helps!
Appropriate tools o bought 4 stamps each week for 3 weeks. he wants to put amps on each page of his album. how many pages will niko use? tell how you can use tools to help solve the problem. choose a tool to represent the problem. explain why you chose that tool. solve the problem. explain how you used the tool you chose
ud7e7urfueitsisurwo6krwowi5ai6woaowi5
evaluate the expression for the given value of the variable
please show work [tex]|-4b-8|+|-1-b^2|+2b; with b=-3[/tex]
The value of the expression when b = -3 is 24
What are functions?Functions can be defined as expression, rules or law that explains the relationship between two variables:
A dependent variablesAn independent variableIt is also important to note that the absolute value of a number is the distance of the number from zero irrespective of its direction in a number line.
Absolute value of a number must take a positive sign.
It is denoted with the symbol '| | '
Given the expression;
| -4b - 8 | + | -1 - b²| + 2b
Substitute the value of b as -3
We have;
|-4(-3) - 8| + |-1 - (-3)²| + 2(-3)
expand the bracket
|-12-8| + |-1 - 9| - 6
Take the absolute values
20 + 10 - 6
24
Thus, the value of the expression when b = -3 is 24
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please help!!!! give 100 points
Answer:
m<1=75 degree m<2=105degree
m<3=75 degree m<4=105 degree
Answer:
m∠1 = 75°
m∠2 = 105°
m∠3 = 75°
m∠4 = 105°
Step-by-step explanation:
Angles on a straight line sum to 180°
⇒ m∠1 + m∠2 = 180°
Given:
m∠2 - m∠1 = 30°⇒ m∠2 - m∠1 + m∠1 = 30° + m∠1
⇒ m∠2 = 30° + m∠1
Substitute the found expression for m∠2 into the first equation and solve for m∠1:
⇒ m∠1 + m∠2 = 180°
⇒ m∠1 + 30° + m∠1 = 180°
⇒ m∠1 + 30° + m∠1 - 30° = 180° - 30°
⇒ m∠1 + m∠1 = 150°
⇒ m∠1 = 150° ÷ 2
⇒ m∠1 = 75°
As angles on a straight line sum to 180°, subtract m∠1 from 180° to find m∠2:
⇒ m∠2 = 180° - m∠1
⇒ m∠2 = 180° - 75°
⇒ m∠2 = 105°
Vertical Angles Theorem: When two straight lines intersect, the opposite vertical angles are the same (congruent).
⇒ m∠3 = m∠1 = 75°
⇒ m∠4 = m∠2 = 105°
17/60/17/3+(5/2-21/3*5/7)*(13*5/26+1/2)
[tex] \implies - \frac{149}{20} \\ [/tex]
Step-by-step explanation:[tex] \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{5}{2} - \frac{21}{3} \times \frac{5}{7} )( \frac{13 \times 5}{26} + \frac{1}{2} )\\[/tex]
According to the Bodmas rule,
B stands for BracketO stands for orderD stands for DivisionM stands for MultiplicationA stands for AdditionS stands for SubtractionAccording to the question,
[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{5}{2} - \frac{21}{3} \times \frac{5}{7} )( \frac{13 \times 5}{26} + \frac{1}{2} ) \\[/tex]
[tex] \implies \: \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{5}{2} - \frac{21 \times 5}{3 \times 7} )( \frac{65}{26} + \frac{1}{2}) \\ [/tex]
[tex] \implies \: \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{5}{2} - \frac{105}{21} )( \frac{65}{26} + \frac{1}{2}) \\ [/tex]
[tex] \implies \: \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{(21 \times 5 )- (2 \times 105)}{42} )( \frac{(1 \times 65 ) + (13 \times 1)}{26} ) \\ [/tex]
[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{105 - 210}{42})( \frac{65 + 13}{26} ) \\ [/tex]
[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( - \frac {105}{42})( \frac{78}{26} ) \\ [/tex]
[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( - \frac {105 \times 78}{42 \times 26})\\ [/tex]
[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( - \frac {8190}{1092})\\ [/tex]
[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} - \frac {8190}{1092}\\ [/tex]
[tex] \implies \frac{17}{60} \times \frac{3}{17} - \frac{8190}{1092} \\ [/tex]
[tex] \implies \frac{17 \times 3}{60 \times 17} - \frac{8190}{1092} \\ [/tex]
[tex] \implies \frac{51}{1020} - \frac{8190}{1092} \\ [/tex]
[tex] \implies \: \frac{(91 \times51) -(85 \times 8190) }{92820} \\ [/tex]
[tex] \implies \: \frac{4641 -696150 }{92820} \\[/tex]
[tex] \implies \: - \frac{691509 }{92820} \\[/tex]
[tex] \implies \: - \frac{691509 \div 4641 }{92820 \div 4641} \\[/tex]
[tex] \implies - \frac{149}{20} \\ [/tex]
Use this Distant vs time graph to answer the questions:
1. What measurement is represented on the x-axis and what unit is it measured in?
2. What measurement is represented on the y-axis and what unit is it measured in?
3. Hours 0-4 (Section A) the person is traveling away from their starting location. How far do they travel in those 4 hours? Remember to include units.
4. What is their rate of change (speed) in Section A? Remember to include units.
5. What is happening in Section B (Hours 4-6)?
6. What is the rate of change (speed) in Section B? Remember to include units
7. How far did this person travel in Section C (Hours 6-7)? Remember to include units.
8. What is their rate of change (speed) in Section D (Hours 7-10)? Remember to include units.
9. During which section was the person moving at the highest speed? What was their speed? Defend your answer.
10. During which section did the person travel the farthest? How far did they travel?
11. BONUS: Write a short (paragraph) scenario that tells the story about where the data on the graph came from. You can be as creative as you want!
Using the piecewise function graphed in this problem, we have that:
1. The x-axis represents the time in hours.
2. The y-axis represents the distance in miles.
3. The person traveled 30 miles in those 4 hours.
4. The person traveled at a rate of 7.5 miles per hour in Section A.
5. In section B, the person remained stopped 30 miles from her starting point for 2 hours.
6. The velocity for Section B was of 0 miles per hour.
7. The person traveled 30 miles in Section C.
8. 8. The speed in Section D was of 20 miles per hour.
9. The person was moving at the highest speed in Section C, at a rate of 30 miles per hour.
10. The farthest distance traveled was of 60 miles in Section D.
11. A person had an appointment 30 miles away from their home, and due to slow traffic had to leave early. Then the appointment lasted 2 hours, then the person went to another place 30 miles away to do something then came back home.
What is a piecewise-defined function?A piecewise-defined function is a function that has different definitions, depending on the input of the function.
From the graph, the function has four different definitions, in intervals, A, B, C and D.
From the axis of the graph, we have that:
1. The x-axis represents the time in hours.
2. The y-axis represents the distance in miles.
Considering that the graph has points (0,0) and (4,30), we have that:
3. The person traveled 30 miles in those 4 hours.
The velocity is given by distance divided by time, hence:
30/4 = 7.5.
4. The person traveled at a rate of 7.5 miles per hour in Section A.
In Section B, the person remains at the same position, hence:
5. In section B, the person remained stopped 30 miles from her starting point for 2 hours.
The distance was of 0, hence:
6. The velocity for Section B was of 0 miles per hour.
In Section C, from the y-axis of the graph, the distance traveled was:
60 - 30 = 30 miles.
7. The person traveled 30 miles in Section C.
For Section D, the person traveled 60 miles in 10 - 7 = 3 hours, hence:
60/3 = 20.
8. The speed in Section D was of 20 miles per hour.
10. The farthest distance traveled was of 60 miles in Section D.
In Section C, the person traveled 30 miles in one hour = 30 miles per hour, hence:
9. The person was moving at the highest speed in Section C, at a rate of 30 miles per hour.
For item 11, a situation that can be modeled is:
A person had an appointment 30 miles away from their home, and due to slow traffic had to leave early. Then the appointment lasted 2 hours, then the person went to another place 30 miles away to do something then came back home.
More can be learned about piecewise functions at https://brainly.com/question/27262465
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Mr yuan wants to use his credit to pay off the full amount that another customers balance does Mr,Yuan have enough money to pay it off.
If Mr. yuan wants to use his credit to pay off the full amount that another customer's balance, then he can pay off for Wenner.
Customer Balance ($)
Girardi -85.23
Lewis 20.44
Stein 116.33
Yuan 13.50
Wenner -9.85
As he got the balance of -9.85 and Mr. yuan got the balance of 13.50. About the above problem is based on financial literacy which is the ability to understand and make full of our financial skills. Some of the basics of financial literacy which we can have practical applications are such as budgeting, banking, handling credit and debt, and investing. Financial literacy is essential just to avoid higher levels of debt and to have enough income for retirement.
To know more about financial literacy, refer to the link: brainly.com/question/13102912
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