Answer:
option a is the correct answer
Professor Zsolt Ugray lives in Boston and is planning his retirement. He plans to move to Florida and wants to buy a boat. The boat he is buying is a "2007 Sea Ray 340 Sundancer" (see image).
Using your Excel skills and understanding of financial functions, you're helping Prof. Ugray assess the impact of this loan on his finances. To buy this boat, Prof. Ugray will get a large Loan ($150,000) and pay $1,770 monthly during 10 years.
Calculate below:
- The monthly rate for this loan
- The annual rate for this loan
- The effective annual rate for this loan
- Total Amount Paid After 10 Years
- The Future value for this loan.
The monthly rate for the given loan is 1.0118%.The annual rate for this loan is 12.1423%.
Given loan: $150,000
Payment per month: $1,770
Duration of loan: 10 years
Interest = ?
The formula for monthly payment is given by:
\(PV = pmt x (1 - (1 + r)^-n) / r\)
Where, PV is the present value, pmt is the payment per period, r is the interest rate per period and n is the total number of periods.Solving the above formula for r will give us the monthly rate for the loan.
r = 1.0118%The monthly rate for the given loan is 1.0118%.The annual rate can be calculated using the following formula:
Annual rate = \((1 + Monthly rate)^12 - 1\)
Annual rate = 12.1423%
The annual rate for this loan is 12.1423%.The effective annual rate can be calculated using the following formula:
Effective annual rate =\((1 + r/n)^n - 1\)
Where, r is the annual interest rate and n is the number of times interest is compounded per year.If interest is compounded monthly, then n = 12
Effective annual rate = (1 + 1.0118%/12)^12 - 1
Effective annual rate = 12.6801%
The effective annual rate for this loan is 12.6801%.
Total amount paid after 10 years = Monthly payment x Number of payments
Total amount paid after 10 years = $1,770 x 120
Total amount paid after 10 years = $212,400
The total amount paid after 10 years is $212,400.
The future value for this loan can be calculated using the following formula:
FV = PV x (1 + r)^n
Where, PV is the present value, r is the interest rate per period and n is the total number of periods.If the loan is paid off in 10 years, then n = 120 (12 payments per year x 10 years)
FV = $150,000 x (1 + 1.0118%)^120
FV = $259,554.50
The future value for this loan is $259,554.50.
Thus, the monthly rate for the loan is 1.0118%, the annual rate for this loan is 12.1423%, the effective annual rate for this loan is 12.6801%, the total amount paid after 10 years is $212,400 and the future value for this loan is $259,554.50.
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Let f(x) = x^2 - 5x - 6 and x
g(x) = ∫ f(t) dt. 0
a. Find the critical points of g{x)and determine whether they are local minima or local maxima. b. Find the points of inflection of g(x) and determine whether the concavity changes from up to down or from down to up.
a. The integral of f(x) is g(x) = (1/3)x^3 - (5/2)x^2 - 6x + C, where C is a constant.
To find critical points, we take the derivative of g(x): g'(x) = x^2 - 5x - 6. Setting g'(x) = 0 and solving for x, we get x = -1 and x = 6. To determine whether these are local minima or maxima, we need to examine the sign of the second derivative of g(x) at each critical point.
Taking the second derivative of g(x), we get g''(x) = 2x - 5. At x = -1, g''(-1) = -7, which means g(x) has a local maximum at x = -1. At x = 6, g''(6) = 7, which means g(x) has a local minimum at x = 6.
b. To find points of inflection, we take the second derivative of g(x) and set it equal to zero: g''(x) = 2x - 5 = 0.
Solving for x, we get x = 5/2. To determine the concavity, we examine the sign of g''(x) on either side of x = 5/2. When x < 5/2, g''(x) is negative, which means g(x) is concave down. When x > 5/2, g''(x) is positive, which means g(x) is concave up. Therefore, x = 5/2 is a point of inflection where the concavity changes from down to up.
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PLEASE HURRY!!!!!!!!
For every 3 packages that Marcella wraps, she uses 1/2
of a roll of wrapping paper.
If she uses 2 1/2
rolls of wrapping paper, how many packages has she wrapped?
Enter your answer in the box.
Answer:
To calculate how many packages Marcella has wrapped, you need to first calculate how many packages each roll of wrapping paper can be used for. Since Marcella uses 1/2 of a roll of wrapping paper for every 3 packages, it follows that she can wrap 3 packages for every 1/2 roll of wrapping paper. Therefore, 2 1/2 rolls of wrapping paper can be used to wrap 15 packages.
FIRST ONE TO GIVE ME A CORRECT ANSWER GETS BRAINLIEST
Answer:
y-4=5
add 4 on both sides
you get y = 9
replace y with 9
9 - 4 = 5
final answe is 5=5
If g(x) is the inverse of f(x) and f(x) = 4x+12, what is g(x)?
g(x) = 12x + 4
g(x) = 1/4x-12
g(x) = X-3
g(x) = 1/4x -3
Answer:
D
Step-by-step explanation:
y=4x+12
x=4y+12
x-12=4y
1/4x-3
17. Given: KL || NM; ZL = ZN
Prove: KLMN is a parallelogram
Statements
1. KLII NM.
2. LLN
3. LLKM LNMK
4. Km
mk
5. ALKMANMK
6. LLmkLNKM
LM || NK
7.
8.
KLMN is a
parallelogram
18. Given:
Prove: STUV is a parallelogram
Statements
1.4W is the midpoint of su
2. Sw uw
3. ST 11 vu
4. LTSUL YUS
5. LSWT Luwv
6. ASWT suwv
7. ST= vu
8. STUV is a parallelogram
Reasons
1. given
2. given
3. a Hernate interior angles
4. reflexive property
5. SAS A Congruence
b. GPCTC
7. Def of parallelogram
8
V
Reasons
S
N
U
1. given
2. DEF OF midpoint
3. given UE
4. alternate interior angles
5. vertical angles
6. SAS A Congruence
7. CPTCP
8. Diagonals of a parallela
bisect each othe
HELPPPP ASAPPPPo
1. Given: KL || NM; ZL = ZN
Prove: KLMN is a parallelogram
Reasons for the statements mentioned
1. KL || NM: (Given) KL || NM; ZL = ZN
2. ZL = ZN: (Given) KL || NM; ZL = ZN
3. KL = LM: the reflexive property of equality.
Prove: STUV is a parallelogram
1. W is the midpoint of SU: Definition of midpoint
2. SW = UW: (Given)STUV is a parallelogram
3. ST = UV: (Given)STUV is a parallelogram
What is a parallelogram?A parallelogram is a quadrilateral with opposite sides that are equal in length and parallel. This means that if two sides of a parallelogram are parallel, then the other two sides are also parallel and have the same length. The opposite angles are equal in measure. This means that if two angles are congruent, then the other two angles are also congruent.
Examples of parallelograms include rectangles, squares, and rhombuses. Parallelograms have many important properties in geometry, such as the fact that the opposite sides are equal in length, the opposite angles are equal in measure, and the diagonals bisect each other. These properties make parallelograms useful in solving many geometric problems and proving theorems.
1.The goal is to prove that quadrilateral KLMN is a parallelogram. A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.
KL || NM states that lines KL and NM are parallel.
ZL = ZN states that the corresponding angles of KL and NM are equal in measure.
LLKM = LNMK states that the consecutive angles of KL and NM are equal in measure.
KM = MK states that the lengths of sides KM and MK are equal.
ALKM = ANMK states that the corresponding angles of KM and MK are equal in measure.
LLMK= LNKM states that the consecutive angles of KM and MK are equal in measure.
LM || NK states that lines LM and NK are parallel.
From the above statements, we can see that KLMN has opposite sides that are parallel (KL || NM and LM || NK), equal in length (KM=MK), and equal in measure of the corresponding angles (ZL = ZN and ALKM = ANMK). Therefore, KLMN is a parallelogram.
2. A parallelogram is a quadrilateral that has two pairs of parallel sides. To prove that STUV is a parallelogram, we need to show that it has two pairs of parallel sides.
Given:
W is the midpoint of SU
SW = UW
ST = UV
TS = US
LSWT = LUWV
ASWT = ASUWV
Using these statements, deduce
W is the midpoint of SU implies that SU = UW.
SW = UW implies that SW is congruent to UW.
ST = UV implies that ST is congruent to UV.
TS = US implies that TS is congruent to US.
Combining the above congruences, deduce
SU = UW and ST = UV implies that SU is parallel to UV and US is parallel to VT.
SW = UW and TS = US implies that SW is parallel to VT and SU is parallel to TS.
Therefore, established that SU is parallel to UV and SW is parallel to VT. Since opposite sides of a parallelogram are parallel, it follows that ST is parallel to WU.
Thus, shown that STUV has two pairs of parallel sides, which means that STUV is a parallelogram.
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i need help with some grade 10 math it's on slope I have attached a photo
Answer:
a) (1,1)
b) 2/3
I think this is correct
Answer:
Co-ordinates of point M are ( 1, 1)
Slope of median EM = -2/3
At a yogurt shop, frozen yogurt is 55 cents for each ounce; a waffle cone to hold the yogurt is $1.25. (a) Identify two quantities and describe how the quantities are related. (b) Write an algebraic equations describing the relationship between the quantities you identified in part (a). (c) Does the equation describe a linear or nonlinear relationship? Explain why?
(a) Two quantities that are related in this scenario are the total cost of frozen yogurt and the weight of the yogurt purchased. The cost of frozen yogurt depends on the weight of the yogurt chosen.
(b) Let's denote the weight of the yogurt in ounces as "w" and the total cost in dollars as "C". The algebraic equation describing the relationship between these quantities is:
C = 0.55w + 1.25
In this equation, 0.55w represents the cost of the yogurt based on its weight (55 cents per ounce), and 1.25 represents the cost of the waffle cone. By adding these two terms, we get the total cost of frozen yogurt.
(c) The equation C = 0.55w + 1.25 describes a linear relationship. This is because the equation represents a linear function, where the dependent variable (C) is a linear combination of the independent variable (w) and a constant term (1.25).
In a linear relationship, the variables are related by a constant rate of change or slope. In this case, for every one-ounce increase in the weight of the yogurt (w), the cost (C) increases by 0.55 dollars. This consistent rate of change characterizes a linear relationship.
Therefore, the equation C = 0.55w + 1.25 describes a linear relationship between the cost of frozen yogurt and its weight.
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what is 40 percent of 85?
Answer:
Answer is 34.
Step-by-step explanation:
I hope it's helpful!
Answer:
34
Percentage Calculator: What is 40 percent of 85? = 34.
5 points
14. A Bakery made 140 buns. A Restaurant bought 80 of the buns. The
remaining buns were put in to 4 buns each. How many bags of buns are
there. *
60
55
35
15
Answer: 15
Step-by-step explanation: we have 140 buns if a bakery bought 80 that means we don't have the 80 buns so we remove 80 from 140 so 140-80= 60. and so The remaining buns were put into 4 buns each. so we divide cause they are in 4 and so 60 divided by 4 is 15.
HOPE THIS HELPS!
Camilla entered the following group of values into the TVM Solver of her
graphing calculator. N = 24,1% = 1.2, PV = PMT = -480; FV = 0P/Y = 12; C/Y
= 12, PMT-END. Which of these problems could she be trying to solve?
O A. A person can afford a $480-per-month loan payment. If she is
being offered a 24-year loan with an APR of 1.2%, compounded
monthly, what is the most money that she can borrow?
O B. A person can afford a $480-per-month loan payment. If she is
being offered a 24-year loan with an APR of 14.4%, compounded
monthly, what is the most money that she can borrow?
O C. A person can afford a $480-per-month loan payment. If she is
being offered a 2-year loan with an APR of 14.4%, compounded
monthly, what is the most money that she can borrow?
D. A person can afford a $480-per-month loan payment. If she is
being offered a 2-year loan with an APR of 1.2%, compounded
monthly, what is the most money that she can borrow?
The problem that Camilla could she be trying to solve is D. a person can afford a $480-per-month loan payment.
What is a loan?It should be noted that a loan simply means an amount of money that's taken for future repayment.
In this case, the information given shows that the problem will be that the person can afford a $480-per-month loan payment and she is being offered a 2-year loan with an APR of 1.2%, compounded monthly.
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Which quadrilateral makes this statement true?
Answer:
Quadrilateral CBAD
Step-by-step explanation:
Because of symmetry, the following pairs of sides are congruent:
AB and CB
AD and CD
Answer: Quadrilateral CBAD
ASAP please answer correctly if you do I will mark you Brainliest.
Answer:
first blank= 2
second blank= 3
Step-by-step explanation:
If y is the cube root root of x, then x is? Given y = 3 Please explain so I understand, will give brainliest
Answer: x=27
Step-by-step explanation:
Just like square root but cube root is by 3 not 2. So to cube something is to times it by itself 3 times. 3x3x3=27
Rope A is 25 times as long as Rope B and Rope
B is 18 times as long as Rope C. If Rope A is
3,600 cm long, how long is Rope C?
Answer:
Step-by-step explanation:
A=25xB
B=18xC
A=3600cm
B=A/25
B=3600/25
B=144
C=B/18
C=144/18
C=8
What is the percent of increase from 20 to 31?
an important first step in assessing the relationship of two interval level variables is to: a. calculate a correlation coefficient. b. look at a scatter plot. c. do a test of significance. d. calculate the variance of the independent variable.
Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.
This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.
A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.
Hence, option a. calculate a correlation coefficient is the correct answer.
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X
0 1 2 3 4
frequency 4 6 18 7 1
Based on the table, what is P (2 > 1)?
Leave your answer in decimal form to three places.
What is the area of the triangle shown?
simplify the polynomial in standard form.
Answer: 2x²-8x+8 in²
Step-by-step explanation:
First, multiply 2x-4 by itself:
(2x-4)(2x-4)
By the factoring form it's easier, since you keep track of how you distribute the multiplying.
4x²-8x-8x+16 -> 4x²-16x+16.
Next, divide that equation by 2, since it's a triangle.
The area of the triangle is 2x²-8x+8 in².
Hoped that helped :)
Given f(x)= x3 and g(x) = 2x + 7, express
(fºg)(x)'as a function of x.
Answer:
(f∘g)(x)=(2x+7)^3
Step-by-step explanation:
substitute g(x) in f(x)
(f∘g)(x)=f(g(x))=f(2x+7)=(2x+7)^3=(2x+7)^3
UU UN INSUL OUUU Convert a fration: m=- 4444 21 x= -2 3 2 91 40 = IU m=-5 2 and 3 32°+x- Which two integers does V5 go between? 1 and 2 49 x=100 x=180 7 and 8 4 and
I'll get the slope of the arrow on the graph
P1 = (-1, 1)
P2 = (-4, 3)
slope = m = (3 - 1) / (-4 + 1)
m = 2/-3
slope = m = -2/3
Suppose that both of the events you have just analyzed are partly responsible for the decrease in the price of pizzas. Based on your analysis of the explanations offered by the two groups of students, how would you figure out which of the possible causes was the dominant cause of the decrease in the price of pizzas?.
If the amount of pizza in the equilibrium market increases, the supply shift must have been greater than the demand shift.
Therefore, if the pizza businesses close, the demand and supply curves shift to the left, raising the price. If consumers are only more interested in the beer, the demand curve shifts to the right, which causes the price to rise as the supply curve advances. Apply this understanding to the rest's analysis.
The Supply curve would move right as a result of the rise in the number of people selling calzones. The equilibrium quantity will increase as a result. As the demand curve shifted left due to the increase in the complementary good beer, the price and equilibrium quantity fell. If the equilibrium quantity rises, it indicates that the influence of rising supply was greater than the effect of falling demand to the point that it outweighed the decline in quantity brought on by falling demand.
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Rock musician Donny West is paid 15% on his tour video online sales. Last year fans downloaded his songs 991,000 times, and he also sold 550,000 videos. The songs are downloaded for $1.09 each and the videos were downloaded for$9 each. What was the total monetary amount of song downloads?
The Total Monetary amount amassed in song downloads was 1,080,190 dollars.
The following question can easily be solved by simply multiplying the song downloads with the amount received per download:
991,000×1.09= 1,080,190 dollars
Also, total sales in videos:
550,000x9= 4,950,000 dollars
So, total amount received by selling videos and song downloads= 1,080,190+4,950,000= 6,030,190 dollars
Donny West's share is about 15% of the total amount= \(\frac{15}{100}\) × 6,030,190= 904,529 dollars.
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A motorcycle is depreciating at 15% per year, every year. A student's $15,200 motorcycle
depreciating at this rate can be modeled by the equation V(t) = 15,200(0.85). What is an equivalent
equation for this vehicle as a monthly depreciation and, using this equation, what is the motorcycle
worth (rounded to the nearest hundred dollar) 7 years after purchase?
Ov(t) = 15,200(0.8700)12, $13,800
Ov(t) = 15,200(0.9865), $4,900
Ov(t) = 15,200(1.15)-# $5,700
Ov(t) = 15,200(0.9865)12t, $4,900
The monthly depreciation is \(V(t) = 15200(0.9865)^t\), and the value after 7 years is (d) $4900
The yearly depreciation is given as:
\(V(t) = 15200(0.85)^t\)
There are 12 months in a year, so the monthly depreciation would be
\(V(t) = 15200(0.85)^{\frac{t}{12}}\)
Where t represents the number of months
Rewrite the expression as:
\(V(t) = 15200(0.85^\frac{1}{12})^t\)
Evaluate the exponent of 1/12
\(V(t) = 15200(0.9865)^t\)
After 7 years, we have:
\(t =7 \times 12\)
\(t =84\)
So, the value of the motorcycle after 7 years is
\(V(84) = 15200(0.9865)^{84}\)
\(V(84) = 4852.88\)
Approximate to the nearest hundred dollar
\(V(84) = 4900\)
Hence, the value after 7 years is (d) $4900
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calculate. each interior and exterior angle measure of a regular 30-sided polygon
The measure of each interior angle of a 30-sided polygon is 168°, and the measure of each exterior angle is 12°.
The sum of the interior angles of a 30-sided regular polygon is equal to (30 - 2) × 180° = 5040°. To calculate the measure of each interior angle, divide the sum by the number of angles.5040° ÷ 30 angles = 168° per interior angle
formula to find the measure of each interior angle of an n-sided polygon is:\(\text{Interior angle} = \frac{(n - 2) \times 180}{n}\)
The measure of each interior angle of a 30-sided polygon is equal to:\(\text{Interior angle} = \frac{(30 - 2) \times 180}{30}\)\(\text{Interior angle} = \frac{28 \times 180}{30}\)\(\text{Interior angle} = 168^\circ\)
To calculate the measure of each exterior angle, use the fact that the sum of exterior angles of a polygon is always 360°.
The formula to find the measure of each exterior angle of an n-sided polygon is:\(\text{Exterior angle} = \frac{360^\circ}{n}\)The measure of each exterior angle of a 30-sided polygon is equal to:\(\text{Exterior angle} = \frac{360^\circ}{30}\)\(\text{Exterior angle} = 12^\circ\)
Therefore, the measure of each interior angle of a 30-sided polygon is 168°, and the measure of each exterior angle is 12°.
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Mr. Kelly pays $12,564 a year for rent. His rent is a constant amount each month. Which equation represents the amount he pays per month if m=months and c = total rent paid for the year? This is a multiple choice question. Put the letter in the chart for
1047m = c
1047c = m
1047 + m = c
M / 1047 = c
Answer:
1047m = c
Step-by-step explanation:
You have to multiply to get the amount you started with
HELP ASAP! Refer to the circle below.
Answer:
6.7 I believe
Step-by-step explanation:
Please help just this
Answer:
Assuming it’s a matter of rotations.
Since its 180 clockwise you go, well clockwise.
You put your needle on the point of rotation and stretch it to a random point “assuming it’s A”.
You put the pencil on A and needle on the point of rotation (X for now) and then draw a circle.
You then proceed to without changing the compass postion, put it on point A, and construct tiny arcs (like a hexagon), each tic (arc) is 60 degrees so constructed 3 of those. Each time you make an arc, go to the arc you made without changing your compass and repeat until 3 times.
On the third arc mark (assuming A), A prime or A'.
You then put your needle on (x) again then put the lead on lets say point B.
You repeat the steps until all points have a prime (').
You then just construct the primed letters and then connect them with a straight edge.
You now have a 180 degree clockwise rotation.
(if your trying to find which one looks like it, then its usually one who’s straight up flat on the same plane AKA a reflection)
Heather drove 441 miles in 7 hours.
At the same rate, how many miles would she drive in 5 hours?
Answer:315
Step-by-step explanation:
441 divide by 7 then what u get multiply by 5
State the explicit formula for the sequence below and find the 8th term.
-4, 16, -64, 256,...
O an = -4(4)n-1; n = 8 is-262,144
O an = -4(-4)-1; n = 8 is 65,536
O an = 4(4)n-1; n = 8 is 65,536
O a = 4(-4)n-1; n = 8 is 261,144
6.25 pts
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The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536
The given sequence is -4, 16, -64, 256,...
If we observe the sequence it is a geometric sequence
aₙ=a.rⁿ⁻¹
a is the first term and r is the common ratio
From the sequence the first term is -4 and common ratio is -4
aₙ=(-4).(-4)ⁿ⁻¹
Plug in the value n as 8
a₈=(-4).(-4)⁷
The value of minus four power seven is minus sixteen thousand three hundred eighty four
a₈=(-4)(-16384)
When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six
a₈= 65536
Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536
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