Robert takes out a loan for $7200 at a 4. 3% rate for 2 years. What is the loan future value?
(Round to the nearest cent)
Answers
The loan future value is $7726.73.
To find the loan future value, we need to calculate the total amount that Robert will owe at the end of the 2-year loan term, including both the principal (initial loan amount) and the interest.
To begin, we can use the formula for calculating compound interest:
\(A = P(1 + r/n)^{(nt)\)
where A is the final amount, P is the principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
In this case, we know that the principal is $7200, the interest rate is 4.3% (or 0.043 as a decimal), the loan term is 2 years, and the interest is compounded once per year (n = 1).
Substituting these values into the formula, we get:
A = 7200(1 + 0.043/1)²
A = 7200(1.043)²
A = 7726.73
Therefore, the loan future value is $7726.73. This means that at the end of the 2-year loan term, Robert will owe a total of $7726.73, which includes the original $7200 loan amount and $526.73 in interest.
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Related Questions
I am giving all my points if you answer this asap! You can make any polynomial you want just use one from column A and one from B. PLEASE HELP!!!!!
You are going to design an advertisement for a new polynomial identity that you are going to invent. Your goal for this activity is to demonstrate the proof of your polynomial identity through an algebraic proof and a numerical proof in an engaging way! Make it so the whole world wants to purchase your polynomial identity and can't imagine living without it!
You may do this by making a flier, a newspaper or magazine advertisement, making an infomercial video or audio recording, or designing a visual presentation for investors through a flowchart or PowerPoint.
You must:
Label and display your new polynomial identity
Prove that it is true through an algebraic proof, identifying each step
Demonstrate that your polynomial identity works on numerical relationships
Warning! No identities used in the lesson may be submitted. Create your own using the columns below. See what happens when different binomials or trinomials are combined. Square one factor from column A and add it to one factor from column B to develop your own identity.
Column A
(x − y)
(x + y)
(y + x)
(y − x)
Column B
(x^2 + 2xy + y^2)
(x^2 − 2xy + y^2)
(ax + b)
(cy + d)
Answers
The polynomial identity created from the columns is (x - y)(x^2 + 2xy + y^2) + (x + y)(x^2 - 2xy + y^2) = 2x^3 - 2xy^2
Creating a polynomial identityIntroducing the new polynomial identity:
(x - y)(x^2 + 2xy + y^2) + (x + y)(x^2 - 2xy + y^2) = 2x^3 - 2xy^2
Algebraic proof:
Expanding the left side of the equation:
(x^3 - xy^2 + 2x^2y + xy^2 + y^3) + (x^3 + xy^2 - 2x^2y + xy^2 + y^3)
= 2x^3 + 2y^3
Simplifying the left side of the equation:
2x^3 - 2xy^2 = 2x^3 - 2xy^2
Therefore, the polynomial identity is true.
Numerical proof:
Let x = 2 and y = 3.
(x - y)(x^2 + 2xy + y^2) + (x + y)(x^2 - 2xy + y^2) = 2x^3 - 2xy^2
(2 -3y)(2^2 + 2(2)(3) + (3)^2) + (2 + 3)(2^2 - 2(2)(3) + 3^2) = 2(2)^3 - 2(2)(3)^2
-20 = -20
Therefore, the numerical proof also shows that the polynomial identity is true.
Advert
Invest in our new polynomial identity today! With this identity, you can simplify complex polynomial expressions and solve equations in a much easier and quicker way.
Say goodbye to tedious algebraic manipulations and hello to the future of polynomial algebra!
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Solve for all solutions of the equation. Show all work for full credit.
x^3 - 8 = 0
I'm mainly struggling with getting it into perfect cube form
Answers
Answer:
Factor using difference of cubes and set each factor equal to
0
.
x
=
2
,
−
1
+
i
√
3
,
−
1
−
i
√
3
Step-by-step explanation:Factor using difference of cubes and set each factor equal to
0
.
x
=
2
,
−
1
+
i
√
3
,
−
1
−
i
√
3
Hey there!
“x³ – 8 = 0”
• ADD BOTH of your SIDES BY 8
x³ – 8 + 8 = 0 + 8
• CANCEL out: –8 + 8 because that gives you 0
• KEEP: 0 + 8 because it helps us solve for your x-value
0 + 8 = 8
x³ = 8
• SECOND: TAKE your CUBE ROOT
x = 8^1/3
SOLVE ABOVE AND YOU HAVE YOUR x-value!
x = 2 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Use the distributive property to rewrite the expression.
-2 ( −12x − 5) =
Answers
100 points for atblog
Answers
Answer:
1) 6
2) 5
3) 3
Step-by-step explanation:
36 ÷ 6 = 6
25 ÷ 5 = 5
9 ÷ 3 = 3
The 3rd gardener was fastest it took him 3 minutes per bush
Answer:
Time taken per bush for the first gardener:36/6=6minutes
Time taken per bush for the second gardener:25/5=5minutes
Time taken per bush for the third gardener:9/3=3minutes
Third gardener trimmed bushes fastest.
What is the factor of x in x/3= 7/9
Answers
The factor of x in x / 3 = 7 / 9 is 21 / 9
The equation is
x / 3 = 7 / 9
The equation is the mathematical statement that shows the relationship between one expression and another expression with an equal sign. The inequality signs will not be a part of equation. The equation that consist of different variables, numbers and mathematical operators. The mathematical operators are addition, subtraction, division and multiplication.
The equation is
x / 3 = 7 / 9
Move the 3 to the right hand side of the equation
x = (7/9) × 3
x = 21/9
Hence, the factor of x in x/3 = 7/9 is 21/9
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if the timer is started on november 17 at 4:00 pm and stopped on november 18 at 6:30 pm, what is the value of minutes at the end of the program?
Answers
Answer:
1590 minutes
Step-by-step explanation:
November 17 ends on 12:00, which is 8 hours after 4:00 pm. The time from the beginning of November 18 to noon is 12 hours, and the distance from noon to 6:30 is 6 hours and 30 minutes, so the total time in hours is 8+12+6 +1/2=26 1/2.
Because we know that one hour is 60 minutes, 26 hours is going to be 60*26, which is equal to 60*20+60*6=1560.
1/2 * 60 = 30. 1560+30=1590, so the value of minutes is 1590 minutes.
bobby and his brother had 3/4 of a pizza leftover after dinner.their father came home and ate 1/2 of the leftover pizza.how much pizza did their father eat
Answers
A quadratic equation with opposite solutions can be found by multiplying
left parenthesis x minus r right parenthesis and left parenthesis parenthesis____
The equation will have ____
Answers
A quadratic equation with opposite solutions can be found when D > 0.
In a quadratic equation, the discriminant D describes the nature of the roots which is also called the solutions of the equation.
For a quadratic equation ax²+bx+c = 0, the discriminant D is given by =
D = [-b ± √(b² – 4ac)]/2a
Nature of roots:
D > 0, roots are real and distinct.
D = 0, roots are real and equal.
D < 0, roots are imaginary and unequal.
Hence, the quadratic equation with opposite solutions can be found when D > 0.
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Find the two missing angles please.
Answers
Answer:
∠ A = 79° , ∠ B = 112°
Step-by-step explanation:
ABCD is a cyclic quadrilateral.
the opposite angles sum to 180° , then
∠ A = 180° - 101° = 79°
∠ B = 180° - 68° = 112°
Prove that for all integers a,b and c, if a|bc, then a|b or a|c.
Answers
Thus, we have proved that for all integers a, b, and c, if a|bc, then a|b or a|c.
To prove that for all integers a, b, and c, if a|bc, then a|b or a|c, we need to use the definition of divisibility.
Assume that a|bc. This means that there exists an integer k such that bc = ak.
We can consider two cases:
Case 1: a and b are coprime.
In this case, a does not share any factors with b. Therefore, a cannot divide b. However, since a|bc and b and c share no factors, a must divide c. Hence, a|c.
Case 2: a and b have a common factor.
In this case, we can write a = dx and b = dy, where d is the greatest common divisor of a and b. Therefore, bc = dxy*c = ak = dxy*k.
Dividing both sides by dxy, we get c/k = a/dy.
Since a and d share no factors, d|c/k. Therefore, there exists an integer m such that c/k = dm. This means that c = dkm.
Since a = dx, we have a|dxk. Since a|bc = dxy*k, we have d|a and d|k. Therefore, we can write k = dh and a = dg, where h and g are integers.
Substituting these expressions into c = dkm, we get c = dg*dh*m. Since d|c and d|a, we have d|b and a|b.
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only need help on 10!
Answers
Answer:
median 6.5
mean 6.166
range 6
Step-by-step explanation:
How do I put this in order?
Answers
But I’m not sure
what is 90.90 rounded to the ones
Answers
Answer:
91.00
Step-by-step explanation:
I got you
“six less than twice y”
Answers
Answer:
2y-6
Step-by-step explanation:
Six less = Subracted by 6.
QUICK SOMEONE HELP PLEASE
Answers
The length of segment LK in the triangle is 15.75.
option D.
What is the length of segment LK?The length of segment LK in the triangle is calculated by applying the principle of median lengths of triangle as shown below.
From the diagram, we can see that;
length KX and XL are not in the same proportion
length KX and XL divides length LK into two parts on the ratio of 1 : 2
Using the principle of proportion, can set up the following equation and calculate the value of length LK as follows;
total ratio = 1 + 2 = 3
(proportion of length LX / total ratio ) x length LK = 10.5
( 2 / 3 ) x LK = 10.5
2LK = 3(10.5)
2LK = 31.5
LK = 31.5 / 2
LK = 15.75
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Can someone please help me with this question
Answers
A. Angle 3 is a vertical angle to angle 2 which means they are the same.
Angle 3 = 76 degrees
B. Angle 6 is also the same as angle 2.
Angle 6 = 76 degrees
C. Angle 8 + angle 6 form a straight line which equals 180 degrees
Angle 8 = 180 - 76 = 104 degrees
Answer:
76° , 76° , 104°
Step-by-step explanation:
(a)
∠ 2 and ∠ 3 are vertically opposite angles and are congruent , then
∠ 3 = 76°
(b)
∠ 6 and ∠ 3 are alternate angles and are congruent , then
∠ 6 = 76°
(c)
∠ 6 and ∠ 8 are adjacent angles on a straight line and sum to 180° , then
∠ 8 = 180° - 76° = 104°
1+13⋅2+52−3 -
Pls help pls I really do need this
Answers
Answer:
49
Step-by-step explanation:
Go by PEMDAS. there arent any parentheses so we skip that and move on to exponents. there is 5 squared. 5 squared is 25 which makes the equation now- 1+13x2+25-3 after that we move on to multiplication. 13x2 equals 26 which makes the equation- 1+26+25-3 now we just add and subtract from right to left.
GEOMETRY
what method could be used to prove congruency for each of the four triangles? (ASA,SSS,SAS,AAS)
Answers
Answer:
ASA, ASA, SAS, SSS
Step-by-step explanation:
i think this is it
Answer:
AsA
Step-by-step explanation:
Function P represents the perimeter, in inches, of a square with the side length x inches.
P = x + x + x + x ... but it would be more efficient to write it this way: P =4x
Complete the table.
x 0 1 2 3 4 5 6
P(x) 0
Answers
Answer:
x =0,1,2,3,4,5,6
P(x) =0,4,8,12,16,20,24
Step-by-step explanation:
P(x)= 4x
4 x 1 = 4
4 x 2 = 8
4 x 3 =12
4 x 4 = 16
4 x 5 = 20
4 x 6 = 24
The values that complete the table are 4, 8, 12, 16 and 20
Functions and tablesGiven the following function P = 4x
We are to fill in the table using this function
If x = 1
P(1) = 4(1)
P(1) = 4
If x = 2
P(2) = 4(2)
P(2) = 8
If x = 3
P(3) = 4(3)
P(3) = 12
If x = 4
P(4) = 4(4)
P(4) = 16
If x = 5
P(5) = 4(5)
P(5) = 20
Hence the values that complete the table are 4, 8, 12, 16 and 20
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Which statement is correct?
o
The absolute value of -29 is less than 29.
The absolute value of -8 is less than -7.
The absolute value of -34 is greater than 33.
The absolute value of -2 is greater than the absolute value of 5.
Answers
Answer:
The absolute value of -34 is greater than 33
Step-by-step explanation:
We convert -34 to its absolute form i.e
\( | - 34 = 34| \)
Now comparison,
34 > 33
Hence, this statement is correct.
Find the nth Maclaurin polynomial for the fu f(x) = tan x, n = 3 3 = P(x) I
Answers
The 3rd Maclaurin polynomial for f(x) = tan x is P(x) = x + (1/3)x^3.
Recall that the Maclaurin series expansion for tan x is given by:
tan x = x + (1/3)x^3 + (2/15)x^5 + ...
To find the 3rd Maclaurin polynomial, we only need to take the first three terms of the series expansion, since n = 3.
Thus, the 3rd Maclaurin polynomial for f(x) = tan x is given by:
P(x) = x + (1/3)x^3.
Note that the first two terms of the polynomial, x and (1/3)x^3, correspond to the first two terms of the Maclaurin series expansion for tan x.
The third term of the polynomial would correspond to the next term in the series expansion, which is (2/15)x^5. However, since we are only finding the 3rd Maclaurin polynomial, we do not need to include this term.
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Find the measure of the arc or angle indicated.
Answers
Answer: The correct is 114
Step-by-step explanation: Hope this helps
Find missing side? Soh cah toa
Answers
Answer:
x ≈ 14.6
Step-by-step explanation:
Using the sine ratio in the right triangle
sin59° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{17}\) ( multiply both sides by 17 )
17 × sin59° = x , then
x ≈ 14.6 ( to 1 dec. place )
jason did a distance spatial join to find city-to-airport distances in illinois, and found that the distance values were all less than 3.0. what are the units?
Answers
Illinois city-to-airport distances can be discovered using a distance spatial join. The utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.
Explain the term GIS?A system called a geographic information system (GIS) is one that collects, organizes, processes, and maps all kinds of data.
GIS connects data to a map and combines all kinds of descriptive data with location data (where objects are) . This offers a basis for mapping and analysis, which are applied in science and practically every sector of the economy. GIS aids users in comprehending trends, connections, and geographic context. The advantages include better management and decision-making, as well as enhanced communication and efficiency. GIS is being used by hundreds of thousands more organizations worldwide to create maps that facilitate communication, analysis, information sharing, and the resolution of challenging issues.Illinois city-to-airport distances can be discovered using a distance spatial join.
Thus, the utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.
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Which system is represented in the graph?
y < x2 – 2x + 4
y < x2 + 4
y ≥ x2 – 2x + 4
y < –x2 + 4
y ≥ x2 – 2x + 4
y ≤ –x2 + 4
y > x2 – 2x + 4
y ≤ x2 + 4
Answers
The system that is represented by the graph is inequality 3
What is system of inequalities?
A group of two or more inequalities in one or more variables is referred to as a system of inequalities. When a problem requires a variety of solutions and those solutions must satisfy multiple constraints, systems of inequalities are used.
We are given the graph of inequalities and given 4 choices out which 1 is the correction representation of the inequalities given in the graph
Now As you can see one the parabolas open downwards that means the term x^2 is negative in that case where as the other parabola opens upwards hence the term x^2 is positive.
So second and third options are the options which satisfies this criteria
if we put x = 0 in the second equation of both the inequalities we get y= 4
This criteria is satisfied by only inequality 3 hence the correct system of inequality is inequality 3
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Answer:y ≥ x2 – 2x + 4
y < –x2 + 4
Step-by-step explanation:
A card store sells greeting cards that range from less than $1 to $10. The histogram below shows the distribution of cards throughout several price ranges and was determined to be the most accurate way of representing these data.
Answers
Hello, I do not see a question nor a histogram for the statement/info provided. I am assuming that the question that you are referring to is "Which of these most likely describes the data shown in the histogram?"
Answer:
The correct answer would be: A, The cards are grouped into five intervals according to price. The prices of the cards vary within each interval, and the highest frequency is 21.
Explanation:
From the histogram (below), you can observe that the highest frequency for the diagram is in fact 21, so you can eliminate answer options B and D.
You are left with either A or C, but you can tell that C is wrong as it states "The prices of the cards are limited to a few whole number values", but in truth the histogram displays values that are decimals, the prices of the cards vary within each interval.
Hope this helps!
Graph a scatter plot using the given data.
Answers
In the question various points of x and y re given to plot the graph.
here is the plot attached below:
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Can a proportional relationship have more than 2 variables?
Answers
Answer: I dont think so
Factor:\(27x^3+8\)
Answers
Answer:
(3x + 2)(9x^2 - 6x + 4)
Step-by-step explanation:
Simple Question.
27x^3 + 8 = (3x)^3 + (2)^3
You can now apply the sum of the cubes formula:
x^3 + y^3 = (x + y)(x^2 - xy + y^2),
(3x)^3 + (2)^3 = (3x + 2)(3^2x^2 - 2*3x + 2^2)
= (3x + 2)(9x^2 - 6x + 4)
Solution: (3x + 2)(9x^2 - 6x + 4)
what is the probability of rolling a 3
Answers
Answer:
1/6
Step-by-step explanation:
Answer:
1/6 if rolled on a dice.
Step-by-step explanation:
There are 6 options on a dice, so 6 is the denominator.
There is only one chance to roll a 3, so 1 is the denominator.
Therefore, the answer would be 1/6.