hello I'm having some troubles on this math problem on my homework can you please help me
Answers
In order to solve this, we have to use the formula of the future value of an annuity with compounded interest given by the following expression:
\(FV=P(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})\)Where P is the periodic payment, r is the rate of interest. n is the number of times the interest is compound a year and t the year, by replacing 310 for P, 0.07(7%) for r, 4 for n, and 26 for t, we get:
\(FV=310(\frac{(1+0.07\/4)^{4\times26}-1}{\frac{0.07}{4}})=89908.22\)Then, the total value of the annuity in 26 years will be $89908.22
Related Questions
Simplify 1 · 0 - . can someone please help out
Answers
Answer:
That would be just 0 because anything multiplied by 0 is 0.
Divide 3.87 x 10 by 6.28 x 10 Express your answer in scientific
notation. Round the coefficient to two decimal places.
Answers
Answer:
oo my god the points are more
Answer:
PLEASE MARK AS BRAINLIEST!!!!
Step-by-step explanation:
DIVISION ANSWER = 0.61624203821
SCIENTIFIC NOTAION =
6.1624203821 × 10-1
(scientific notation)
= 6.1624203821e-1
(scientific e notation)
= 616.24203821 × 10-3
(engineering notation)
(thousandth; prefix milli- (m))
= 0.61624203821
(real number)
I DON'T KNOW HOW TO ROUND THE COEFFICIENT
what are exchange rates?
Answers
Answer:
Step-by-step explanation:
Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.
Allen went out to dinner and hls total bill
came to $22.14. The tax on his meal was
8%, or $1.64. What was the subtotal of
his dinner?
Answers
Help me please this is important stuff
Answers
The mathematical modeling cycle is a process that consists of six steps:
Understand the problemFormulate a modelSolve the modelVerify and validate the modelImplement the solutionCommunicate the resultsWhat is circumference ?
Circumference is the distance around the edge of a circular object or shape. It can be calculated using the formula C=πd, where C is the circumference, π is the mathematical constant pi (approximately 3.14), and d is the diameter (the distance across the circle passing through its center).
According to the question:
The mathematical modeling cycle is a process that consists of six steps:
Step 1: Understand the problem
The museum wants to install a statue of a cartographer that is 5'6" tall and has a circular opening in one hand that is 1.2 inches in radius. The statue will be placed in a room with a ceiling height of 16 feet. The statue and the map should be geometrically similar.
Step 2: Formulate a model
To find an appropriate height and scale factor for the statue, we can use the following formula:
(scale factor) = (statue height) / (actual height)
We can also use the formula for the circumference of a circle to find the circumference of the circular opening in the statue's hand and the rolled-up map:
C = 2πr
Step 3: Solve the model
To find the scale factor, we need to convert the height of the cartographer to inches:
5 feet 6 inches = (5 x 12) + 6 = 66 inches
We can then use the formula to find the scale factor:
scale factor = statue height / actual height
scale factor = h / 66
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booker and lola stuff envelopes for their urban food co-op booker stuffedd of 70 envelopes this is 10 more than twice the number of envelopes lola stuffed write an equation that can be used to find the number of envelopes e that lola stuffed
Answers
Answer:
Step-by-step explanation:
Select all the ratios that are equivalent to 8 : 6. *
4:3
6 to 8
16:12
10:8
7 to 5
Answers
Answer:
4:3 and 16:12
Step-by-step explanation:
simplify the expression
\( \sqrt[3]{686x {}^{4} } y {}^{7} \)
Answers
The expression can be simplified as \(7x\sqrt[3]{ 2x} y^7\).
What is an expression?An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)
A phrase in language may contain an action on its own, but it does not constitute a whole sentence.
Given:
The expression = \(\sqrt[3]{686x^4} y^7\)
Factorize 686 we get 7³ × 2
= \(\sqrt[3]{7^3\times 2x^4} y^7\)
= \(7x\sqrt[3]{ 2x} y^7\)
Therefore, the expression can be simplified as \(7x\sqrt[3]{ 2x} y^7\).
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the equation below represents the total price of Michigan State University per semester where c represents the number of classes and t represents the total cost for the semester including a one time fee for room and board
Answers
The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).
The equation captures the relationship between these variables and calculates the overall cost for a student attending the university. It is important to note that the equation provides a quantitative representation and does not take into account other factors such as scholarships, financial aid, or additional expenses. Therefore, the equation serves as a useful tool for estimating the total cost of attending Michigan State University, allowing students and their families to plan and budget accordingly for their education.For such more question on equation
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She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $
.
Answers
she still owes 9.3$
answer : 9.30$
Step-by-Step-
25.63-16.33=9.30
Jenny still owns $9.30 dollars to her sister.
Hope this helps :)
Selling Price = $ 504 and Gain % = 12%
Answers
Answer:
Step-by-step explanation:
sp = 504
gain = 12%
in this case
sp =100%+12%=504
112%=504
1%=504/112 =4.5
100%=450
so cost =$450
Hope im correct, if i am im glad to be of service.
What is the remainder when the following polynomial division is performed? Place the answer in the proper location of the gird. Do not include parentheses in your answer.
Answers
The remainder of the polynomial division \(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)}\) is 2y²
How to determine the remainder of the polynomial divisionFrom the question, we have the following parameters that can be used in our computation:
\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)}\)
When the numerator is expanded, we have
\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = \frac{(y - 1)(y^3 + 1) + 2y^2}{y^3 + 1}\)
Split the expanded expression
\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = \frac{(y - 1)(y^3 + 1)}{y^3 + 1} + \frac{2y^2}{y^3 + 1}\)
Evaluate
\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = y - 1 + \frac{2y^2}{y^3 + 1}\)
From the above, we have
Quotient = y - 1
Remainder = 2y²
Hence, the remainder of the polynomial division is 2y²
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What is the total amount to be paid on a 9 year, $60,500 loan at 7.3% p.a.?
Answers
The total amount to be paid on a 9 year, $60,500 loan at 7.3% p.a. is $100248.50.
How to calculate the amount?It should be noted that simple interest is calculated as:
Interest = Principal × Rate × Time / 100
Interest = 60500 × 7.3 × 9 / 100
Interest = $39748.50
It should be noted that the amount will be the addition of the principal and the interest. This will. be:
= Principal + Interest
= $60500 + $39748.50
= $100248.50
The amount is $100248.50.
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3
Select all the correct answers.
Which three statements are true as they relate to supply and demand?
As supply rises, prices generally decrease.
o As demand decreases, costs generally increase.
As supply decreases, prices increase.
The average rate of change describes how much a quantity changes as price increases.
o As demand rises, the price of the product decreases.
Answers
Answer:
A, C, and D
Step-by-step explanation:
Let's analyze each option:
A) As supply rises, prices generally decrease. This is true as supply and demand have an inverse relationship. The supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the right does decrease the equilibrium price (assuming the demand curve doesn't fluctuate).
B) As demand decreases, costs generally increase. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the left only decreases the equilibrium price (assuming the supply curve doesn't fluctuate).
C) As supply decreases, prices increase. This is true because the supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the left does increase the equilibrium price (assuming the demand curve doesn't fluctuate).
D) The average rate of change describes how much a quantity changes as price increases. This is true because the supply curve measures how much the quantity supplied increases as the price increases, while the demand curve measures how much the quantity demanded increases as the price decreases.
E) As demand rises, the price of the product decreases. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the right only increases the equilibrium price (assuming the supply curve doesn't fluctuate).
I've attached an example graph to help you visualize all of these factors.
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
Answers
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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Research has found that people are happiest when they have _____ hours a day of face-to-face contact with others. 3. 6. 1. 9.
Answers
Research has found that people are happiest when they have 6 hours a day of face-to-face contact with others.
What is an experiment ?
A method used in a controlled environment to find an unknown effect or law, test or establish a hypothesis, or provide an example of an established law
In the scenario described, individuals are chosen at random to participate in a new intervention, which appears to be an example of an experiment.
Research has found that people are happiest when they have 6 hours a day of face-to-face contact with others.
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Research has found that people are happiest when they have 6 hours a day of face-to-face contact with others.
What is an experiment ?
A method used in a controlled environment to find an unknown effect or law, test or establish a hypothesis, or provide an example of an established law
In the scenario described, individuals are chosen at random to participate in a new intervention, which appears to be an example of an experiment.
Research has found that people are happiest when they have 6 hours a day of face-to-face contact with others.
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Vector v is shown in the graph.
vector v with initial point at 0 comma 0 and terminal point at negative 8 comma 6
Which are the component form and magnitude of v?
v = ❬–8, 6❭; ||v|| = –10
v = ❬8, 6❭; ||v|| = –10
v = ❬8, 6❭; ||v|| = 10
v = ❬–8, 6❭; ||v|| = 10
Question 5
Vector v is shown in the graph.
vector v with initial point at 2 comma 5 and terminal point at negative 3 comma negative 2
Which are the magnitude and direction of v? Round the answers to the thousandths place.
||v|| = 8.602; θ = 54.462°
||v|| = 8.602; θ = 234.462°
||v|| = 9.220; θ = 54.462°
||v|| = 9.220; θ = 234.462°
Answers
Question 4
Answer: Choice DExplanation:
If the initial point is the origin, the coordinates of the terminal point form the vector itself in component form. We go from (-8,6) to <-8,6>. The notation change is from ordered pair to vector format.
We have a right triangle with legs of 8 and 6 units. The pythagorean theorem will help us determine the hypotenuse is 10. Therefore, the vector length is 10 units and we would say ||v|| = 10. We have a 6-8-10 right triangle.
===========================================================
Question 5
Answer: Choice BExplanation:
Vector v starts at (2,5) and ends at (-3,-2).
The x component of the vector is x2-x1 = -3-2 = -5 meaning we move 5 units to the left when going from the start point to the endpoint.
At the same time we move 7 units down because y2-y1 = -2-5 = -7 which is the y component of the vector.
The component form of vector v is
v = <-5, -7>
it says "move 5 units left, 7 units down".
Apply the pythagorean theorem to find the length of the vector.
a^2+b^2 = c^2
c = sqrt(a^2 + b^2)
||v|| = sqrt( (-5)^2 + (-7)^2 )
||v|| = 8.602 which is approximate.
Now let's use the arctangent function to find the angle
theta = arctan(b/a)
theta = arctan(-7/(-5))
theta = 54.462 which is also approximate.
There's a problem however. This angle is in Q1 but the vector <-5,-7> is in Q3. An easy fix is to add on 180 to rotate to the proper quadrant.
54.462+180 = 234.462
which is the proper approximate angle for theta.
Write and solve an equation to find the value of x and the missing angle measures
Answers
Answer:
in explanation
Step-by-step explanation:
angle rules say that those angles respond to each other meaning
they will equal each other
so 6x-4=4x+14
now solve for x
x=9
the top angle will be
6(9)-4=50
bottom angle will be 50
4(9)+14=50
Explain how to use place-value blocks to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85. Then find the difference.
Answers
Place-value blocks can be used to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85 by converting them to the nearest ten. The difference will be $0.50.
What are place value blocks?It should be noted that base ten blocks are used to represent numbers as a base ten model. It should be noted that they are useful because they show the value of each digit in a number and make it easier to visualize the size of a number.
In this case place value blocks mimic the base ten number system by representing the ones, tens, hundreds, and thousands places
Therefore, place-value blocks can be used to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85 by converting them to the nearest ten. The difference will be $0.50.
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PLSSS HELP WILL PUT BRAINLIEST
A box in the shape of a rectangular prisim measure 2 feet by x feet by 4 feet. Write a simplified expression for the volume (in cubic feet) of the box
Answers
Answer:
8x ft^3
Step-by-step explanation:
Step one:
given
dimension of the box
Length= 2ft
width = x ft
Height= 4 ft
Required;
the expression for the volume of the box
Step two:
We know that the volume is expressed generally as
V=L*W*H
V= 2*x*4
V= 8x ft^3
The expression for the volume is V= 8x ft^3
If a segment of a cylinder is 3 inches long and 4 inches in diameter, what is the longest side of that segment?
Answers
Hence, the cylinder segment's longest side measures about 2.5 inches as the other two sides are the segment's height .
what is diameter ?The width of a circle in geometry is the separation between any two or more points on the ring that pass through the centre. It is the longest chord that may divide a circle to two equal half, which are referred to as semicircles. The radius of a circle, which corresponds to the distance between any two points on its circumference, and the diameter, which is sometimes symbolised by the letter "d," are connected by the following formula: d = 2r where r denotes the circle's radius. In many mathematics, such as geometry, trigonometry, and calculus, the diameter is a significant measurement scale.
given
We can first create a diagram of the cylinder portion to help us tackle this issue. We are aware that the cylinder has a 4 inch diameter, which indicates that its radius is 2 inches.
The diagonal "d" in this instance serves as the hypotenuse, while the other two sides are the segment's height (which is equal to the cylinder's radius, or 2 inches), and half of its length (which is 3/2 inches).
Hence, we can construct the equation:
D2 is equal to (2 inches) + (3/2 inches).
If we simplify, we get:
\(d^2 = 4 + 2.25\\d^2 = 6.25\)
When we square the two sides, we obtain:
2.5 inches for d
Hence, the cylinder segment's longest side measures about 2.5 inches as the other two sides are the segment's height .
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A 28% income tax on a 80,000 income
Answers
Answer:
22,400
Step-by-step explanation:
80,000 x .28
Use the graph to determine the domain and range of the function
Answers
Answer:
Domain (-4,6)
Range(5,0)
Step-by-step explanation:
which value of y makes the inequality 3y^2+2(y-5)>8 true?
A. y = 0
B. y = –1
C. y = –2
D. y = –3
Answers
you substitute each of the values into y
3(-3)^2+2(-3-5)>8
you square the -3 and then multiply by 3, you’re left with 27+2(-3-5)>8
You then subtract -3-5 inside the parentheses and are left with 27+2(-8)>8 multiply the 2 and -8
27+(-16)>8 or 27-16>8
Subtract and you’re left with 11>8
All the others are the same steps, but they are not true
According to your graphing calculator, what is the approximate solution to the trigonometric inequality cos(0.65x)>.44 over the interval 0
Answers
Answer:
the solution to the trigonometric inequality cos(0.65x) > 0.44 over the interval 0 ≤ x < 4.834.
Step-by-step explanation:
The given inequality is:
cos(0.65x) > 0.44
To solve this inequality, we need to isolate the variable x.
First, let's take the inverse cosine (arccos) of both sides to remove the cosine function:
arccos(cos(0.65x)) > arccos(0.44)
Since the range of the inverse cosine function is limited to [0, π], we can rewrite the inequality as:
0 ≤ 0.65x < π
Now, let's solve for x by dividing each part of the inequality by 0.65:
0/0.65 ≤ x < π/0.65
Simplifying, we have:
0 ≤ x < π/0.65
Now, let's calculate the approximate value of π/0.65 to determine the interval for x:
π/0.65 ≈ 4.834
i hope i helped!
You have just been approved for a 30 year 5.5% fixed home mortgage. The monthly payment that you qualify for is $879.32. Use the table provided to determine the price of a home that can be purchased. A 5-column table with 4 rows titled Monthly Payments per 1000 dollars of mortgage. Column 1 is labeled Interest Rate (percent) with entries 5, 5.5, 6, 6.5. Column 2 is labeled 10 Years with entries 10.61, 10.86, 11.11, 11.36. Column 3 is labeled 20 years with entries 6.60, 6.88, 7.17, 7.46. Column 4 is labeled 30 years with entries 5.37, 5.68, 6.00, 6.33. Column 5 is labeled 40 years with entries 4.83, 5.16, 5.51, 5.86. a. $154,267 c. $156,753 b. $154,810 d. $157,153
Answers
Answer:
b. $154,810
Step-by-step explanation:
You want to know the price of a home that can be purchased for a monthly payment of $879.32 on a 30-year loan at 5.5%.
TableThe given table tells you the multiplier m used to find the monthly payment p from the loan amount P for different time periods and interest rates.
p = (P/1000)×m
ApplicationThe table value for a 30-year loan at 5.5% is m = 5.68. Solving the equation for P, we have ...
1000p/m = P
1000(879.32/5.68) = P ≈ 154,809.86 ≈ 154810
You qualify for a loan of $154,810.
__
Additional comment
The multiplier 5.68 is found on row 2 (5.5%) of column 4 (30 years).
By answering the presented question, we may conclude that As a result, equation the answer is (b) $154,810.
What is equation?A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.
To establish the purchase price of a property, we must use the monthly payment and the table supplied to determine the mortgage amount that corresponds to the monthly payment.
According to the data, the monthly payment per $1000 of mortgage for a 30-year fixed mortgage at a 5.5% interest rate is $5.68.
Hence, to calculate the mortgage amount for a $879.32 monthly payment, we may apply the following formula:
Mortgage amount = monthly payment / mortgage payment per $1000
$879.32 mortgage amount / $5.68 per $1000
Loan amount = $154,810
As a result, the purchasing price of a house is $154,810.
As a result, the answer is (b) $154,810.
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⦁ In an examination, 500 students appeared. Out of these students; 25 % got first division, 35 % got second division and 5 students failed; find the number of students who just passed and didn’t get any division ? step by step explanation
Answers
The number of students that just passed is 195.
How many students just passed?Number of students who just passed = total number of students that appeared - number of students that had first and second division - number of students that failed.
Number of students that had first and second division = (percentage of students that had first and second division x total number of students
= (25% + 35%) x 500
= 60% x 500
= (60 / 100) x 500
= 300
Number of students who just passed = 500 - 300 - 5 = 195
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If the cost of milk is $3 per gallon, what is the amount of money a farmer can make by selling the milk produced by the cow in the month of April?
Answers
The amount of money a farmer can make by selling the milk produced by the cow in the month of April is $90
How to determine the amountFrom the equation given, we have that
$3 = I gallon
Let's take it that the farmer sells one gallon by per day
We know that the month of April has 30 days
So if he makes $3 in 1 day
He would make x in 30 days
Collect like terms
$30 × 30 days = amount
Multiply through
Amount = $90
Thus, the amount of money a farmer can make by selling the milk produced by the cow in the month of April is $90
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slope = 1/2, through: (3, 1)
Answers
Answer:
m=0
Step-by-step explanation:
how do you get over a girl cause i am in a tight situation
Answers
Answer:
Step-by-step explanation:
It depends on what happened. If you asked her out and she said no. The best way to handle the feeling of being rejected is to accept the fact that you would rather keep her in your life as a friend than lose her completely. But if she broke up with you, then just know that if she doesn't want to be with you then that's her fault. There is a whole world out there filled with amazing, unique, beautiful girls. She's missing out on how much of a wonderful person you are.