Loan payments of $4000 due 200 days ago and $6000 due 63 days ago are to be replaced
by a payment of$5000 today and the balance 92 days from today. If money is worth 8.3%
and the agreed focal date is 92 days from today, what is the size of the final payment?

Answers

Answer 1

The size of the final payment is $5378.08

What is the size of the final payment?

P1 = One loan payment = $4000

P2 = Second loan payment = $6000

P3 = Payment = $5000

Let P4 = Second payment

n1 = 200 days

n2 = 63 days

n3 = 92 days

r = Interest rate = 8.3%

[P1 * (1+ (r * n1 /365))] + [P2 * (1+ (r * n2 /365))] = P3 + [P4 / (1+(r*n3/365)]

[$4000 * (1+(8.3%*200/365)] + [$6000 * (1+(8.3%*63/365)] = $5000 + [P4 / (1+(8.3%*92/365))]

[$4000 * 1.04547945] + [$6000 * 1.01432603] = $5000 + [P4 / 1.02092055]

$4181.9178 + $6085.95618 = $5000 + [P4/1.02092055]

P4/1.02092055 = $5267.87398

P4 = $5378.080801

Therefore, the size of the final payment is $5378.08

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Related Questions

URGENT!!! due in 20 minutes GRAPH TRANSLATIONS 2 questions. Will mark brainliest!!!!

URGENT!!! due in 20 minutes GRAPH TRANSLATIONS 2 questions. Will mark brainliest!!!!
URGENT!!! due in 20 minutes GRAPH TRANSLATIONS 2 questions. Will mark brainliest!!!!

Answers

Answer:

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Step-by-step explanation:

If the outside diameter of a pipe is 1.25 ft and the inside diameter is 0.975 ft how thick is the pipe

Answers

Answer:

0.275

Step-by-step explanation:

1.25-0.975=0.275

See below
Answer: .1375

See explanation:


1.25-0.975=.275

Now since this gives you the difference between the outside diameter and the inside diameter it actual gives you 2 times the wall thickness. So we need to divide that by 2.

.275/2=.1375

So the wall thickness of the pipe is .1375

what is 2 + 2 - 90 + 40

Answers

Answer:

-46

Step-by-step explanation:

hope this helps ;)

Answer:

Pemdas makes it -46

Step-by-step explanation:

since this is only addition and subtraction it doesn't matter really what order you do it in

2+2=4

-90+40=-50

4+-50=-46

this is thanks to the Commutative property of addition which states that "Changing the order of addends does not change the sum."

Find EF in the trapezoid

Find EF in the trapezoid

Answers

The length of EF in the trapezoid will be 3 units.

The length of mid segment of trapezoid is given by the equation will be (b₁ + b₂) / 2

The following qualities apply to the provided trapezium ABCD.

The bases of the trapezium are AD and BC.Midpoint of the trapezium equals EF

AD = x + 7

EF = 5x

BC = 20

EF = AD + BC / 2

Putting EF , AD and BC value will give:

\(5x=\frac{x+7+20}{2}\)

10x = x + 27

9x = 21

x =  21/9

x = 3.

Thus, the EF of trapezium is 3units.

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Delisa Corporation has two divisions: Division L and Division Q. Data from the most recent month appear below:


Total Company Division L Division Q

Sales $ 577,000 $ 158,000 $ 419,000

Variable expenses 347,300 104,280 243,020

Contribution margin 229,700 53,720 175,980

Traceable fixed expenses 124,110 38,710 85,400

Segment margin 105,590 $ 15,010 $ 90,580

Common fixed expenses 70,310

Net operating income $ 35,280


The break-even in sales dollars for Division Q is closest to: (Round your intermediate calculations to 2 decimal places.)


Multiple Choice

$318,530

$203,333

$268,466

$459,400

Answers

Answer:

$203,333

Step-by-step explanation:

Computation for the break-even in sales dollars for Division Q

First step is to compute the Segment Contribution Margin ratio

Using this formula

Segment Contribution Margin ratio = Segment contribution margin ÷ Segment sales

Let plug in the formula

Segment Contribution Margin ratio= $ 175,980÷ $ 419,000

Segment Contribution Margin ratio= 0.42

Last step is to find the break-even in sales dollars for Division Q using this formula

Break-even in sales dollars = Segment traceable fixed expenses ÷ Segment Contribution Margin ratio

Let plug in the formula

Break-even in sales dollars= $85,400÷ 0.42

Break-even in sales dollars=$203,333

Therefore the break-even in sales dollars for Division Q is $203,333

A concession stand serves hot dogs and hamburgers at a ratio of 3 to 2. Based on this ratio, how many hamburgers will be served if there are a total of 60 hot dogs served? Use a tape diagram to model your thinking.​

Answers

Answer:

no clue i need help on this

Step-by-step explanation:

HOWWWW DOOOO YOUUUU DOOOOOO THISSS!?!?!?!?!!?!??!!??!?!!??!!??!?!

You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?​

Answers

Answer:

Step-by-step explanation:

total interest paid is given as $4,643.46.

total payments = $429.95 x 36 months = $15,478.20

total lease payments = total payments - total interest

total lease payments = $15,478.20 - $4,643.46 = $10,834.74

Remaining balance = Total cost of the lease - Total lease payments

$23,495 - $10,834.74 = $12,660.26

SHARE 300 USING 2:3:5

Answers

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Graph the parabola y=(x+5)^2-2

Answers

Answer: Use the steps that are easiest to draw a parabola!

Step-by-step explanation:

I used Desmos, here are the key points.

Vertex: (-5,-2)

Extra points to graph:

(-3, -2), (-7,2) (-2, 7), (-8,7) (-1, 14), (-9, 14)

Hope this helps!

Graph the parabola y=(x+5)^2-2

You are testing the claim that the mean GPA of night students is different from the mea GPA of day students. You sample 20 night students, and the sample mean GPA is 2.84 with a standard mean GPA is 2.55 with a standard deviation of 0.45. Test the claim using a 1% level of significance. Assume the population standard deviations are unequal and that GPAs are normally distributed. Give answer to at least 4 decimal places. What are the correct hypotheses

Answers

Answer:

As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.

Step-by-step explanation:

Here n= 20

Sample mean GPA = x`= 2.84

Standard mean GPA = u= 2.55

Standard deviation = s=  0.45.

Level of Significance.= ∝ = 0.01

The hypothesis are formulated as

H0: u1=u2   i.e the GPA of night students is same as the mean GPA of day students

against the claim

Ha: u1≠u2

i.e the GPA of night students is different from the mea GPA of day students

For two tailed test  the critical value is  z ≥ z∝/2= ± 2.58

The test statistic

Z= x`-u/s/√n

z= 2.84-2.55/0.45/√20

z= 0.1441

As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.

logx+5 64 = 2

Please help!!
Solve and round to the nearest 100th
Explain how
WILL GIVE BRAINIEST FIRST ANSWER

Answers

The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.

solve the equation logₓ(64) + 5 = 2, we can follow these steps:

Step 1: Move the constant term to the other side of the equation:

logₓ(64) = 2 - 5

logₓ(64) = -3

Step 2: Rewrite the equation in exponential form:

x^(-3) = 64

Step 3: Rewrite 64 as a power of x:

x^(-3) = x^6

Step 4: Set the exponents equal to each other:

-3 = 6

The equation -3 = 6 is not true, which means there is no real solution to the given equation.

Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.

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In a restaurant, a waiter collected tips from five of his tables. The tips were $4.50, $6.00, $8.00, $12.00 and $7.50, respectively. What is the average amount of tip from these five tables?

Answers

Answer:

$7.60

Step-by-step explanation:

you add all of it together, then divide by how many amounts u added

For a school project, Leah is investigating cell phone use in her hometown, Georgetown. So far, she has found that the residents of Georgetown used their cell phones for 463,090 minutes last year. This year, they used their cell phones for a total of 370,472 minutes. What is the percent of decrease in annual usage?

Answers

Answer:

19.99%

Step-by-step explanation:

hope this helps

here you go

Convert 7% as a decimal

Answers

Answer:

0.07

Step-by-step explanation:

7/100

Answer:

it would be .07 i believe

Quizizz help brainiest guaranteed even if wrong

Quizizz help brainiest guaranteed even if wrong

Answers

Answer:

bluee on yuhhhhhhhhhhhh

Answer:

Yellow = 8r ^6  s^3  −  5 r ^5  s ^4  +  r ^4  s ^5  +  5 r ^3  s ^6

Step-by-step explanation:

Hope this was helpful.

Find the midpoint of the segment with the following endpoint (10,9)and (1,5)

Answers

Answer:

Is there an image?

Step-by-step explanation:

Answer:

11,14

Step-by-step explanation:

Somebody please help me ITS URGENT

Somebody please help me ITS URGENT

Answers

According to the computation, each ticket is $37.5 is t = ($175 - $25)/4.

What is equation?

An equation is a formula that uses the equals symbol (=) to denote the equality of two expressions. Multiple languages may have somewhat distinct meanings for the term equation and its cognates.  For instance, in English, an equation is any properly constructed formula that consists of two expressions joined by the equals sign, whereas in French, an equation is any well-formed formula that contains one or more

variables 5.

Given the overall cost of parking and four tickets for a baseball game = $175.00

cost of parking = $25

The price of 4 tickets = $175 - $25

let cost of each ticket is t

t =($175 - $25)/4

cost of each ticket is $37.5

Therefore, the formula for a ticket is

t = ($175 -$25)/4, cost of ticket is $37.5.

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You and your friend are two of eight servers working a shift in a restaurant. At the beginning of the shift, the managerrandomly assigns one section to each server. Find the probability that you are assigned Section 1 and your friend is assigned Section 2Express you answer as a fraction in simplest form.

Answers

We have 8 sections, numbered from 1 to 8, and 8 servers.

The probability of you being assigned for Section 1 is one into eight (P=1/8) . because we are assuming each of the servers has equal chance of being chosen.

Then, given that you have been assigned to Section 1, there are 7 servers left, including your friend.

Then, there is one into seven chances of your friend being chosen for Section 2 (P=1/7).

We have two events, the first with P=1/8 and the second with P=1/7.

The probability of both of this events happening is the product of their probabilities:

\(P=P_1\cdot P_2=\frac{1}{8}\cdot\frac{1}{7}=\frac{1}{56}\)

The probability of you being assigned to Section 1 and your friend to Section 2 is P=1/56.

Find an equation of the line graphed below: (picture included)

Find an equation of the line graphed below: (picture included)

Answers

Answer:

Step-by-step explanation:

1/x + 1/y =9/11 (x+y)/x.y=9/11 11x+11y=9x.y

F(x)=11x/(9x-1)

Find an equation of the line graphed below: (picture included)

Answer:

Step-by-step explanation:

(-5,-3) (1,0)

(0+3)/(1+5)= 3/6 = 1/2

y - 0 = 1/2(x - 1)

y = 1/2x - 1/2

Function c
is defined by the equation c(n)=50+4n
. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n
.

True or False? The inverse function is as follows:

n=(c(n) − 50)×4
Responses

Answers

Answer:

False

Step-by-step explanation:

1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4

classify the following triangle

Answers

Where’s the picture?

Can somebody help me anyone

Can somebody help me anyone

Answers

Answer is C and D because they are not rational

Find the degree measure of each angle.

Find the degree measure of each angle.

Answers

Step-by-step explanation:

The angle between EF = 90 - 39 = 51°

Th angle between ED = 90 - 73 = 17°

You are ordering shirts for the math club at your school. Short-sleeved shirts cost $8 each. Long-sleeved shirts cost $16 each. You have a budget of $300 for the shirts. The equation $8x+16y=160$ models the total cost, where $x$ is the number of short-sleeved shirts and $y$ is the number of long-sleeved shirts. a. Graph the equation. Interpret the intercepts

Answers

On the graph, the graph equation has been drawn, crossing the y and x-axis points (0, 10) and (20, 0).

What is a graph equation?

To calculate the slope m and the y-intercept, write the equation y = MX + b.

The slope and y-intercept can then be used to graph the equation (0, b).

The three primary forms of linear equations are point-slope, standard, and slope-intercept.

So, the equation is as follows:

8x+16y=160

Now,

The short sleeves are symbolized by an x.

y is a symbol for the long sleeves.

The equation must now be plotted as follows:

(Please see the graph below.)

As a result, the y and x-axis points (0, 10) and (20, 0) intersected by the equation.

Therefore, on the graph, the graph equation has been drawn, crossing the y and x-axis points (0, 10) and (20, 0).

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You are ordering shirts for the math club at your school. Short-sleeved shirts cost $8 each. Long-sleeved

Three times the sum of a number and eight is four more than the number. find the number

Answers

Answer:

3(x+8)=4+x

distribute the 3 by multiplying it with the x and the 8

3x+24=4+x

subtract x from both sides

2x+24=4

subtract 24 from both sides

2x=4-24

2x=-20

divide each side by 2

leaving the variable isolated

x=-10

Step-by-step explanation:

It is important to balance each side by doing the same to both sides such as at the end divide both sides by 2.

The unknown number will be equal to 10.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that three times, the sum of a number and eight is four more than the number.

The equation will be written as,

3(x+8)=4+x

Distribute the 3 by multiplying it with the x and the 8,

3x+24=4+x

Subtract x from both sides,

2x+24=4

Subtract 24 from both sides,

2x=4-24

2x=-20

Divide each side by 2.

x=-10

Therefore, the unknown number will be equal to 10.

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6 vacas por cada 5 gallinas​

Answers

yo soy ingles

answer is 150


Solve for x: -2x - 4> 8
X<-6
X> -6
0x<-2
X>-2

Answers

Answer:

x < -6

Step-by-step explanation:

-2x - 4 > 8

the first step is to add 4 to both sides since we need to get x alone on one side

-2x - 4 > 8

      +4  +4

so we are left with -2x > 12

we still need to get x alone so we have to divide -2 from both sides

always remember that if you divide by a negative number the inequality flips!! so instead of > it will be <.

-2x/-2 = x

12/-2 = -6

so the answer is x < -6

Solve for x: -2x - 4&gt; 8X&lt;-6X&gt; -60x&lt;-2X&gt;-2

Joe makes tomato sauce to sell at a craft fair. He makes it in 5 gallon batches. How many pint jars does he need to hold 5 gallons of sauce?

Answers

By doing a change of units, we know that he will need 40 pint jars to hold the whole volume of sauce.

How many pint jars does he need?

We know that Joe makes tomato sauce to sell at a craft fair, and we know that he did make that sauce in 5-gallon batches.

We want to see how many jars do he need to hold these 5 gallons, so we need to perform a change of units.

Remember the relation:

1 gallon  = 8 pints.

So, for each gallon, he will need 8 pint jars, then for the 5 gallons, he will need:

5*8 pint jars = 40 pint jars.

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Side XY of triangle XYZ is extended to point W, creating a linear pair with ∠WYZ and ∠XYZ.

Triangle X Y Z. Point W extends from side X Y. Angle Z is 36 degrees, angle Y is x degrees, and exterior angle W Y Z is 100 degrees.

What is the value of x?

Answers

Answer:

\(x= 80^o\)

Step-by-step explanation:

Given

\(\angle Z = 36^o\)

\(\angle WYZ = 100^o\)

Required

Find x

\(\angle WYZ\) and x are on a straight line.

So:

\(\angle WYZ + x= 180^o\)

Make x the subject

\(x= 180^o -\angle WYZ\)

Substitute known value

\(x= 180^o -100^o\)

\(x= 80^o\)

Side XY of triangle XYZ is extended to point W, creating a linear pair with WYZ and XYZ.Triangle X Y

Answer:

80 is correct

Step-by-step explanation:

What is 3 + 3m = 2m + 3

Answers

Answer:

m=0

Step-by-step explanation:

3+3m- 2m=3(Combine 3m and -2mto get m)

3+m=3 (Subtract 3 from both sides.)

m= 3-3 (Subtract 3 from 3 to get 0.)

m=0

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