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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URGENT!!! due in 20 minutes GRAPH TRANSLATIONS 2 questions. Will mark brainliest!!!!
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
Answer:
0.275
Step-by-step explanation:
1.25-0.975=0.275
what is 2 + 2 - 90 + 40
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
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 EFAD = 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
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.
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?
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
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
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!
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
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
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?
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?
Answer:
19.99%
Step-by-step explanation:
hope this helps
here you go
Convert 7% as a decimal
Answer:
0.07
Step-by-step explanation:
7/100
Answer:
it would be .07 i believe
Quizizz help brainiest guaranteed even if wrong
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)
Answer:
Is there an image?
Step-by-step explanation:
Answer:
11,14
Step-by-step explanation:
Somebody please help me ITS URGENT
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.
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)
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)
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
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
Can somebody help me anyone
Find the degree measure of each angle.
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
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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Three times the sum of a number and eight is four more than the number. find the number
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
Solve for x: -2x - 4> 8
X<-6
X> -6
0x<-2
X>-2
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
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?
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?
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
\(x= 180^o -100^o\)
\(x= 80^o\)
Answer:
80 is correct
Step-by-step explanation:
What is 3 + 3m = 2m + 3
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