Technology required. Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks.
a. Write an equation that represents the relationship between the dollar amount in her bank account and the number of weeks of saving.
b. Graph your equation using graphing technology. Mark the point on the graph that represents the amount after 3 weeks.
c. How many weeks does it take her to have $250 in her bank account? Mark this point on the graph.
Answers
The given problem is about a person named Priya who started with $50 in her bank account and deposited $20 each week for 12 weeks. We need to find out after how many weeks she will have $250 in her bank account and also plot the given data on a graph, given that technology is required.Let's solve the given problem step by step:a) We can represent Priya's bank account after n weeks as follows:$50 + $20n
This is because she started with $50 and deposited $20 each week for n weeks.Now, to graph this equation, we can use any graphing calculator or software.
For example, we can use the Desmos Graphing Calculator, which is free and available online.To plot the given data, we need to set the domain as {0, 1, 2, 3, ..., 12} (for 12 weeks), and the range as {50, 70, 90, 110, ..., 290} (according to the equation). Then we can plot the points as follows:
After plotting the points, we can connect them with a straight line to get the graph of the equation.$$$$b)
To mark the point that represents the amount after 3 weeks, we need to find the value of the equation for n = 3, which is:$50 + $20(3) = $110This means that after 3 weeks, Priya will have $110 in her bank account.
We can mark this point on the graph as follows:$$$$$c) To find out after how many weeks Priya will have $250 in her bank account, we need to solve the following equation:$50 + $20n = $250Subtracting $50 from both sides, we get:$20n = $200Dividing both sides by $20, we get:n = 10
This means that after 10 weeks, Priya will have $250 in her bank account. We can mark this point on the graph as follows:$$$$$Therefore,
we can conclude that it will take Priya 10 weeks to have $250 in her bank account, and we can represent this data on a graph using graphing technology.
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[a] Answer: y = 20x + 50
Step-by-step explanation:
We can write a linear equation to answer this part. Priya starts with $50 and adds $20 every week. Let y be the total amount of money in the bank account and x be the number of weeks passed. We will write a slope-intercept equation, where 20 is the slope and 50 is the y-intercept.
y = 20x + 50
[b] Answer: (3, 110)
Step-by-step explanation:
Next, we will use a graphing calculator as asked. Here I am using Desmos Graphing Calculator, it is free to use and online. We can type in our equation above, y = 20x + 50. See attached. Since she will not have negative weeks that she deposits, and she only deposits for 12 weeks, we will add {0 ≤ x ≤ 12} to our equation when we graph.
Since x is the number of weeks passed, 20(3) + 50 = 110, giving is the point (3, 110).
[c] Answer: 10 weeks
Step-by-step explanation:
Now, we need to find the point where she has $250 in her bank account. Since y is the total amount of money in her bank account, we can find where y = 250 on the graph.
This is at (10, 250), or 10 weeks.
Related Questions
Make a conjecture about the diagram below. Do you think you can conclude that △JKL ≅ △XYZ? Explain your reasoning.
Triangles J K L and X Y Z are shown. Angles J K L and X Y Z are right angles. The lengths of J K and X Y are congruent and the lengths of J L and Z X are congruent.
Answers
Answer:
Since these are right triangles, the unmarked sides can be determined to be congruent because of the Pythagorean theorem. Once the third set of congruent sides is determined, the SSS or SAS theorem can be used to prove triangle congruency.
Step-by-step explanation:
sorry I know this is late but i just took the assignment and this was the answer
Answer:
they are right triangles so they are congruent
Step-by-step explanation:
got it right on edge
A painter needs to paint the bottom of a circular pool. The pool has a diameter of 60 find the area of the bottom of the pool
Answers
Answer:
188.5
Step-by-step explanation:
in order to find the circumference you need to know the radius which is half of the diameter. the picture shows the formula used.
Find the average rate of change for f(x) = x²-3x - 10 from x = -5 to x = 10.
Answers
Answer: Average rate of change = 2
Step-by-step explanation:
Jason wants to purchase a new pair of shoes. He has $70 he is able to spend. A popular new pair of shoes are sold at the shoe store for a regular price of $85. The shoe store currently has a sale of 20% off the original price of all new shoes. The tax rate at the shoe store is 7% and is charged based on the final price of the shoes.
Answers
Answer:
$72.76 Us Dollars
Step-by-step explanation:
1st I found out what 20% off of $85 was and it was $68 US Dollars then I had to add 7% of $68 US Dollars and it came out to $72.76
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the width, length, and height of a rectangular prism are each increased by $10\%$. what is the percent increase in the volume of the prism? express your answer to the nearest whole number.
Answers
The volume of the rectangular prism will increase by 33% if the width, length, and height are each increased by 10%.
Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
The formula for the volume of a rectangular prism is:
V = l x w x h
where
“l” is the base length
“w” is the base width
“h” is the height of the prism
If the width, length, and height are each increased by 10%, the equation will now become:
[tex]V_{2}= 1.10 l * 1.10 w*1.10h[/tex]
[tex]V_{2}= 1.331* l*w*h[/tex] V = l*w*h
[tex]V_{2}= 1.331* V[/tex]
Hence, if the width, length, and height are each increased by 10%, the volume of the rectangular prism will increase by 33%.
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plz answer correctly and give the mixed number also 5 2⁄3 ÷ 4 2⁄3 =
Answers
Answer:
The answer of 5 ⅔ ÷ 4 ⅔= 1 3/14
Can anybody help me with this math problems?
Answers
Answer:
All you have to do is replace the X with the number on the table
Step-by-step explanation:
so the first number is -3 so 3×-3+2
that equals -7 so put -7 as the first number under y. can continue like that
Answer:
1. -7, -4, -1, 2, 5, 8, 11
2. 5, 3, 1, -1, -3, -5, -7
3. -7, -6, -5, -4, -3, -2, -1
4. 13, 10, 7, 4, 1, -2, 5
Step-by-step explanation:
Which of the following equations is equivalent to 4.12x + 5.2 = 8.23?
(1) 412x+ 52 = 823
(2) 412x + 520 = 823
(3) 9.32x =8.23
(4) 0.412x + 0.52 = 8.23
Answers
Which of the following is a COUNTING NUMBER
A. 0 B. 10. C. 15 D. 20
Answers
Answer: d or a i think
Step-by-step explanation:
Answer:
free points
Step-by-step explanation:
hahahahahaha
PLZ HELP DUE IN 10 MINUTES!
15. Shari estimated that there were 60 pieces of candy left in her Halloween basket. When she counted, there
was actually only 56 pieces left. What was her percent error?
Answers
Answer:
i think its 96% ???
Step-by-step explanation:
I NEED HELP ASAP! If Tracey took 26 pictures during 6 days of vacation . How many day will it take for Tracey to take 32 pictures? !!!!!! MIDDLE SCHOOL!!!!!!!
Answers
If a 200 N net force acts on a 500 grams car, what will the acceleration of the car be?
Answers
Answer:
The acceleration of the car will be 400 m/s².
Step-by-step explanation:
The acceleration of the car can be found using Newton second law:
[tex] F = ma [/tex]
Where:
F: is the net force = 200 N
m: is the mass = 500 g
a: is the acceleration =?
Then, the acceleration will be:
[tex] a = \frac{F}{m} = \frac{200 N}{500 g*\frac{1 kg}{1000 g}} = 400 m/s^{2} [/tex]
Therefore, the acceleration of the car will be 400 m/s².
I hope it helps you!
i need help finding the angles
Answers
Answer:
all angles are 60 degrees
Step-by-step explanation:
since all sides are equal, all angles will be equal so its a equilateral triangle
all angles in a equilateral triangle are 60 as 180/3 is 60
so all angles equal 2x
2x = 60
x = 60/2 = 30
Write a linear function f with the values f(−1)=5 and f(3)=4.
Answers
Answer:
f(x)=-0.25x+4.75
Step-by-step explanation:
-0.25x+4.75
-0.25(-1)+4.75=5
-0.25(3)+4.75=4
Hope this helps!
PLEASE HELP ILL GOVE YOU BRAINLIST !!!!
Answers
Answer:
(X+1)+93=3x ( exterior angle of triangle is equal to sum of interior angle)
94=2x
X=94/2
X=47
also X+1=48
3*47=141
now,
Step-by-step explanation:
93+48+X=180 ( angle of triangle)
141+X=180
X=180-141
X=39
angleFGH=39
Some doctors recommend that men drink 3 liters of water every day. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in 3 liters?
F.101 fl oz
G.33 fl oz
H.10 fl oz
J.89 fl oz
Answers
Answer:
G.
Step-by-step explanation:
Astrid is painting the outside of her cabin. She knows that working alone, it will take her 23 hours to complete the job. A reasonable estimate for how long the job will take if she has her two sons help if they each work at approximately the same rate as Astrid is
Answers
A reasonable estimate for how long the job will take if she has her two sons help if they each work at approximately the same rate as Astrid is 5.75 hours.
Outside of her cabin, Astrid is painting. She is aware that if she works alone, the task will take her 23 hours to finish. If her two boys labor at roughly the same rate as Astrid, a fair estimate of how long the job will take with their assistance is
Astrid is painting the outside of her cabin = 23 hours
Astrid has her two sons help if they each work at approximately the same rate as Astrid is 23/2 = 11.5
Then 11.5/2 = 5.75 hours.
The work is calculated using the work formula. Let's review what work means before learning the formula. When we apply a force to an item and the object is moved, we say that work has been done. The work done becomes zero if there is no displacement in the direction of the force. Calculating the amount of labor required to move an object is done using the work formula.
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Outside of her cabin, Astrid is painting. If her two boys labor at roughly the same rate as Astrid, a fair estimate of 5.75 hours long the job will take with their assistance is.
Given that,
Outside of her cabin, Astrid is painting. She is aware that if she works alone, the task will take her 23 hours to finish.
We have to find If her two boys labor at roughly the same rate as Astrid, a fair estimate of how long the job will take with their assistance is.
Astrid is spent 23 hours painting the outside of her cabin.
If each son works at roughly the same rate as Astrid, which is 23/2 = 11.5 she asks her two sons to assist.
Then 11.5/2 = 5.75 hours.
Therefore, If her two boys labor at roughly the same rate as Astrid, a fair estimate of 5.75 hours long the job will take with their assistance is.
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5. Line l has an equation y = 2x – 4. Write the
equation of a line parallel to line l that has a y-
intercept of -1?
Answers
Answer:
y=2x-1
Step-by-step explanation:
lan earns 2/3
as much as Jill. His yearly income is $38,000. How much does Jill earn?
Pls answer asap! Worth 15 points!!
Answers
Answer:
Jill earns $57,000
Step-by-step explanation:
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What is the quadratic equation whose roots are 3/4 and 1/2 respectively
Answers
We need to know about the relation between roots of a quadratic equation for solving the question. The quadratic equation with roots 3/4 and 1/2 is [tex]8x^{2} -10x+3=0[/tex]
Quadratic equation is an equation with the highest order of variable being 2. Roots of a quadratic equation are the values that satisfy the equation.Since quadratic equation has the highest order as 2, the equation has two roots. Roots of a quadratic equation can be real and unique, real and equal or imaginary. The roots of a quadratic equation can be used to get the quadratic equation itself.
Let there be a quadratic equation:
[tex]ax^{2} +bx+c=0\\x^{2} +\frac{b}{a} x+\frac{c}{a} =0[/tex]
Let the roots of the quadratic equation be α and β, then
α+β=-b/a
αβ=c/a
In this question we know the two roots are 3/4 and 1/2. So we can derive the quadratic equation from them
[tex]\frac{3}{4} +\frac{1}{2} =\frac{-b}{a} \\\frac{-b}{a} =\frac{5}{4}[/tex]
[tex]\frac{3}{4}[/tex]×[tex]\frac{1}{2} =\frac{c}{a}[/tex]
[tex]\frac{c}{a} =\frac{3}{8}[/tex]
The quadratic equation is:
[tex]x^{2} -\frac{5}{4} x+\frac{3}{8} =0\\8x^{2} -10x+3=0[/tex]
Therefore we found the quadratic equation with roots 3/4 and 1/2 to be [tex]8x^{2} -10x+3=0[/tex]
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9e−7=7e−11
Solve for e
Answers
e = -2
that should be the correct answer
Answer:
e = 2
Step-by-step explanation:
determine whether each function has line symmetry.
Answers
Answer: 1 and 3 dont 2 and 4 do have a line of symmetry
Step-by-step explanation:
Graphs 1, 3 function are not line symmetry and 2 and 4 have line symmetry.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The line of symmetry is an imaginary line that runs through the centre of a line or shape creating two perfectly halves.
To check a function to be symmetrical about the origin we need to replace y with minus y and x with minus x and the function must be equal to original function.
In the given graphs, 1 and 3 are not symmetrical and 2 and 4 are symmetrical.
Hence graphs 1, 3 function are not line symmetry and 2 and 4 have line symmetry.
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Which expression is equivalent to 4^-5 • 3^-5 ?
Answers
The expression equivalent to 4^-5 • 3^-5 is 12^-5
What are equivalent expressions?Equivalent expressions are simply known as expressions with the same solution but different arrangement.
Given the index expressions;
4^-5 • 3^-5
Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.
This can be written as;
4(3) ^ -5
expand the bracket
12^-5
Thus, the expression equivalent to 4^-5 • 3^-5 is 12^-5
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An exam is standardized to a normal model, with a mean of 110 and a standard deviation of 18. Based on the normal model N(110,118) describing exam scores, what percent of people's exam scores would you expect to be...
1.) over 97
2.)under 98
3.) between 119 and 131
Answers
Lines AAA, BBB, and CCC show proportional relationships.
Which line has a constant of proportionality between yyy and xxx of 333?
Answers
The line A has the constant of proportionality between x and y as 5.
What do you mean by constant of proportionality?In mathematics, we use the constant of proportionality to determine the type of proportionality, whether direct or indirect.
The proportionality constant aids in the solution of equations encompassing ratios and proportions.If one quantity increases, other quantity increases, the two quantities are considered to be proportional. Furthermore, as one quantity decreases, so does the other.For, the data given in the question;
Given lines A, B, and C Obtaining the equation for the line yields the proportionality constant.
1) Line A intersects (0,0) and (1, 5). Line A's equation is given by:
y - y₁ = [(y₂ - y₁)/(x₂ - x₁)]×(x - x₁)
Substitute the values;
y - 0 = [(5 - 0)/(1 - 0)]×(x - 0)
y = 5x
y/x = 5
The proportionality constant between y and x is 5.
2) Line B traverses (0,0) and (3, 5). Line A's equation is given by:
y - y₁ = [(y₂ - y₁)/(x₂ - x₁)]×(x - x₁)
Substitute the values;
y - 0 = [(5 - 0)/(3 - 0)]×(x - 0)
y = 5x/3
y/x = 5/3
The proportionality constant between y and x is 5/3.
3) Line C intersects (0,0) and (3, 2). Line A's equation is given by:
y - y₁ = [(y₂ - y₁)/(x₂ - x₁)]×(x - x₁)
Substitute the values;
y - 0 = [(3 - 0)/(2 - 0)]×(x - 0)
y = 3x/2
y/x = 3/2
The proportionality constant between y and x is 2/3.
Therefore, the constant of proportionality between x and y as 5 shown by line A.
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The correct question is -
Lines A, B, and C show proportional relationships.
Which line has a constant of proportionality between y and x of 5?
What is the slope (m) of the line passing through (-6,-1) and PARALLEL to 2x + 3y = 3?
Answers
Answer:
Slope is -2/3
Step-by-step explanation:
Change slope to slope form
Y=-2/3x+1
Slopes gonna be the same if they’re parallel
Question 7 of 55 Andres plays a soccer video game. He earns 3 stars for every goal he scores and loses star every time he misses the goal. He scores 5 goals and misses the goal 4 times. How many stars does he have? A. 18 B. 3 C. 15 D. 12
Answers
Answer:
d
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THESE PLSSS!!
Answers
Answer:
e= 2
W= 15
m= 9
Step-by-step explanation:
for e: yout multiply 5 x 7 to get 35 so 2 x 7 = 14
for W: 20/10 = 2 so divide 30/2 to get 15
for m: 11 x 2 = 22 so do 18 divided 2 to get 9
Answer:
E = 2
W = 15
M = 9
Step-by-step explanation:
You just have to make the denominator / numerator the same.
[tex]\frac{E}{5}[/tex] = [tex]\frac{14}{35}[/tex]
Multiply the first fraction by 7 so that their denominators are both 35.
[tex]\frac{7E}{35}[/tex] = [tex]\frac{14}{35}[/tex]
7E = 14
E = 14 ÷ 7
E = 2
[tex]\frac{20}{30}[/tex] = [tex]\frac{10}{W}[/tex]
Multiply the second fraction by 2 so that their numerators are both 20.
[tex]\frac{20}{30}[/tex] = [tex]\frac{20}{2W}[/tex]
2W = 30
W = 30 ÷ 2
W = 15
[tex]\frac{M}{11}[/tex] = [tex]\frac{18}{22}[/tex]
Multiply the first fraction by 2 so that their denominators are both 22.
[tex]\frac{2M}{22}[/tex] = [tex]\frac{18}{22}[/tex]
2M = 18
M = 18 ÷ 2
M = 9
3. Taka Barrow purchased fishing gear from a store in Illinois, where the tax rate is 6.25%. She purchased a spinning combo rod and reel for $59.99, 4 spinner baits at $5.49 each, 3 lures for $3.89 each, and a landing net for $24.99 a. What is the total selling price?' b. What is the sales tax?
Answers
Answer:
a.126.023125
b.7.413135
Step-by-step explanation:
a. ((59.99)+(4*5.49)+(3*3.89)+(24.99))*1.0625(sales tax)
118.61*1.0625
126.023125 final price
b. final price-price before tax.
126.023125-118.61
7.413135
11) -4, -1, -3
A) f(x) = x + 8x + 19x + 15
B) f(x) x + 8x? + 19x + 4
C) f(x)=r: 8x? 1 27x + 12
D) f(x) – xº +872 + 19x + 12
Write a polynomial function of least degree with integral coefficients that has the given zeros.
Answers
Answer:
The required polynomial is:
[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]
Step-by-step explanation:
Given the zeros
-4, -1, -3
Zeros can be written as:
x = -4, x = -1, x = -3
Finding the factors
x = -4
x +4 = 0
x = -1
x + 1 = 0
x = -3
x + 3 = 0
Thus, the factor are:
(x+4) (x+1) (x+3)
The original function can be computed by multiplying the factors
[tex]\left(x+4\right)\left(x+1\right)\left(x+3\right)=0[/tex]
as
[tex]\left(x+4\right)\left(x+1\right)=x^2+5x+4[/tex]
so the expression becomes
[tex]\left(x^2+5x+4\right)\left(x+3\right)=0[/tex]
Distribute parentheses
[tex]x^2x+x^2\cdot \:3+5xx+5x\cdot \:3+4x+4\cdot \:3=0[/tex]
[tex]x^2x+3x^2+5xx+5\cdot \:\:3x+4x+4\cdot \:\:3=0[/tex]
[tex]x^3+3x^2+5x^2+15x+4x+12=0[/tex]
Add similar elements: [tex]3x^2+5x^2=8x^2[/tex]
[tex]x^3+8x^2+15x+4x+12 = 0[/tex]
Add similar elements: [tex]15x+4x=19x[/tex]
[tex]x^3+8x^2+19x+12=0[/tex]
Thus, the required polynomial is:
[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]
Note: your answer choices are a little ambiguous, but I have explained the entire procedure. Hopefully, it will clear your concept.