The difference between what John pays and the debt increases over the years, so he will never be able to pay the loan with that annual amount.
Since John wants to apply for a loan, with a present annuity due value of $ 3,500,568.78, from a bank that charges 14.28% interest per annum, compounded monthly, if he can only be able to pay back $ 43,367.21 per annum at the beginning of each year, to determine when will John fully pay all of his debt to the bank, the following calculation must be performed:
43,367.21 x 5 = 216,836.05 3,500,568.78 x (1 + 0.1428 / 12) ^ (5x12) = 7,118,596.39 43,367.21 x 10 = 433,672.10 3,500,568.78 x (1 + 0.1428 / 12) ^ (10x12) = 14,476,051.66
Thus, as can be seen, the difference between what John pays and the debt increases over the years, so he will never be able to pay the loan with that annual amount.
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Can someone help me please?
Answer:
Step-by-step explanation:
the dot would either (1,4) or (4,1)
a squared+ b squared= c squared
the length of the sides are 3
3 squared + 3 squared= c squared
9+9 =c squared
18= c squared
square root of 18 rounded to the nearest tenth is 4.2
Mickey and Minnie Mouse are purchasing a new home. Their annual property taxes are estimated to be $5,467, and their homeowner's insurance policy has an annual cost of $1,440. They must also purchase flood insurance, since they live in below sea level, at an additional cost of $1,262 per year. How much will they be required to put into their escrow account each month to cover these costs?
Result:
Mickey and Minnie Mouse will need to put $680.75 into their escrow account each month to cover the property taxes, homeowner's insurance, and flood insurance costs.
What is an escrow account?An escrow account is like a savings account that is managed by a mortgage servicer. The portion deposited into an escrow account usually covers estimated property taxes and your homeowners and mortgage insurance premiums.
To calculate the monthly amount Mickey and Minnie Mouse need to put into their escrow account for property taxes, homeowner's insurance, and flood insurance, we will first add up the total annual costs for these expenses:
Property taxes: $5,467
Homeowner's insurance: $1,440
Flood insurance: $1,262
Total annual costs = $5,467 + $1,440 + $1,262 = $8,169
Next, we divide the total annual costs by 12 to get the monthly escrow amount:
$8,169 / 12 = $680.75
Therefore, $680.75 is the amount they will need to put into their escrow account each month.
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Triangle ABC with vertices at A(4, 3), B(3, −2), C(−3, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.
The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).
1. Start by calculating the distance between the vertices of the original triangle ABC:
- Distance between A(4, 3) and B(3, -2):
Δx = 3 - 4 = -1
Δy = -2 - 3 = -5
Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26
- Distance between B(3, -2) and C(-3, 1):
Δx = -3 - 3 = -6
Δy = 1 - (-2) = 3
Distance = √((-6)² + 3²) = √45 = 3√5
- Distance between C(-3, 1) and A(4, 3):
Δx = 4 - (-3) = 7
Δy = 3 - 1 = 2
Distance = √(7² + 2²) = √53
2. Apply the scale factor of 1.5 to the distances calculated above:
- Distance between A' and B' = 1.5 * √26
- Distance between B' and C' = 1.5 * 3√5
- Distance between C' and A' = 1.5 * √53
3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):
- A' is located Δx units horizontally and Δy units vertically from A.
- Δx = 1.5 * (-1) = -1.5
- Δy = 1.5 * (-5) = -7.5
- Coordinates of A':
x-coordinate: 4 + (-1.5) = 2.5
y-coordinate: 3 + (-7.5) = -4.5
4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).
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Write a quadratic function to model the vertical motion for each situation, given h(t) equals negative 16t squared plus v0t+h0. Find the maximum height. Initial velocity 152
The maximum height reached by the ball is 908.5 feet.
Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:
\(h(t) = -16t^2 + 152t + 6\)
This quadratic function models the height of the ball at any time t after it is thrown.
To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:
t = -b / 2a
where a = -16 and b = 152 are the coefficients of the quadratic function.
t = -152 / 2(-16) = 4.75
So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:
\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet
Therefore, the maximum height reached by the ball is 908.5 feet.
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Question
A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0
Write 0.000000624 in scientific notation
Answer:
6.24 x \(10^{-7}\)
Step-by-step explanation:
0.000000624 in scientific notation is 6.24 x \(10^{-7}\)
Answer:
Step-by-step explanation:
The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.
What ideas do you have to find the distance between G and H without counting?
Answer:
just find the rise over run
for every 4 male birds in a cage there are 6 females what is the ratio of males to females
The ratio of males to females in the cage is 2:3.
According to the question,
We have the following information:
For every 4 male birds in a cage there are 6 females.
The ratio of males to females = Number of males in the cage: number of females in the cage
Ratio of males to females = 4:6
We can convert this ratio into the simplest form by dividing both the numbers by 2 and this will also be the equivalent ratio of this obtained ratio.
Ratio of males to females = 2:3
Hence, the ratio of males to females in the cage is 2:3.
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Find the total area of the prism.
Answer:
864
Step-by-step explanation:
AT= 2Area base+ph
AT= 2(12*12) +(12*4)12
AT=2 (144)+576
AT= 288+576
AT=864"
Suppose A and B are independent events. The probability that event A will not occur is 0.1 and the probability that event B will occur is 0.7. Find P(A), P(not B) and P(A and B).
Answer:
The probability for A is 1-0.1 is 90%
P(A)=90%
P(NOT B)=30%
P(A AND B)=0.9+0.7/2=1.6/2=80%
p(a and b) may be a little off.
Answers:
P(A) = 0.9P(not B) = 0.3P(A and B) = 0.63=======================================================
Work Shown:
P(A) = 1 - P(not A)
P(A) = 1 - 0.1
P(A) = 0.9
-------------------
P(not B) = 1 - P(B)
P(not B) = 1 -0.7
P(not B) = 0.3
-------------------
P(A and B) = P(A)*P(B) only when A and B are independent
P(A and B) = 0.9*0.7
P(A and B) = 0.63
0) Multiply (5 x 10567 x 10), express in scientific notation
Answer:
3.8×10^8
hope it's helpful
standard notation.
eighty-seven million fifty thousand seventeen
The value eighty-seven million fifty thousand seventeen in standard notation is 8.71 * 10^6
Word and figuresStandard scientific notation is expressed as A * 10^n
where
A are values from 1 to 10
n are integers
Given the value eighty-seven million fifty thousand seventeen, this can be written as;
eighty-seven million fifty thousand seventeen = 87,050,017
Write in standard notation
87,050,017 = 8.71 * 10^6
Hence the value eighty-seven million fifty thousand seventeen in standard notation is 8.71 * 10^6
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What does AB congruent symbol CD mean? AB and CD here have lines over them How is it different than AB=CD?
Answer:
Suppose that we have two line segments, AB and CD. We know that they have the same length.
I know that AB¯¯¯¯¯¯¯¯=CD¯¯¯¯¯¯¯¯ means AB is identical to CD (aka. They are the same lines), and also that AB¯¯¯¯¯¯¯¯≅CD¯¯¯¯¯¯¯¯ means that AB and CD have the same size, but what does AB=CD mean?
Step-by-step explanation:
Evaluate the expression. 50 points!!
Answer:
C
Step-by-step explanation:
If you notice, this is what the tangent-difference identity resembles. The tangent-difference identity is:
\(\tan(\alpha-\beta)=\frac{\tan(\alpha)-\tan(\beta)}{1-\tan(\alpha)\tan(\beta)}\)
We have the expression:
\(\frac{\tan(\frac{\pi}{7})-\tan(\frac{\pi}{8})}{1-\tan(\frac{\pi}{7})\tan(\frac{\pi}{8})}\)
So, our α is π/7 and our β is π/8. Therefore:
\(\frac{\tan(\frac{\pi}{7})-\tan(\frac{\pi}{8})}{1-\tan(\frac{\pi}{7})\tan(\frac{\pi}{8})}=\tan(\frac{\pi}{7}-\frac{\pi}{8}})\)
Simplify:
\(\frac{\tan(\frac{\pi}{7})-\tan(\frac{\pi}{8})}{1-\tan(\frac{\pi}{7})\tan(\frac{\pi}{8})}=\tan(\frac{8\pi}{56}-\frac{7\pi}{56}})\)
Subtract:
\(\frac{\tan(\frac{\pi}{7})-\tan(\frac{\pi}{8})}{1-\tan(\frac{\pi}{7})\tan(\frac{\pi}{8})}=\tan(\frac{\pi}{56})\)
So, our answer is C.
And we're done!
Answer:
c
Step-by-step explanation:
Find the VOLUME of each prism. Round to the nearest tenth if necessary.
9 ft
11 ft
8 ft
Your answer
Answer: 792
Step-by-step explanation:
9*8= 72
72*11= 792
Length* Height* Depth= Area
hgggggggggggggggggggg
Seriously dude, c'mon
Proportionality yes or no - show work
X y
____ ____
6 -2
7 -1
8 0
9 1
No, the relationship on the table is not proportional
How to determine if the relationship is proportionalFrom the question, we have the following parameters that can be used in our computation:
x y
____ ____
6 -2
7 -1
8 0
9 1
On the table of values, we can see that:
The values of x increase by 1 i.e. 6, then 7, then 8 and finally 9 As these values of x increase by 1, the values of y increase by 1 also i.e. -2, then -1, then 0 and finally 1Using the above as a guide, we have the following:
The relationship is not a proportional relationship
This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)
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Which polygons have at least one pair of parallel sides but are not parallelograms
is the ratio for 4/16 and 1/4 are examples to proportional relationships true or false
Answer:
Yes it is correct.
Proportional relationships are relationships between two variables where their ratios are equivalent.
if you divide 4/16 with 4 you will find 1/4
good luck
Average Number of Rainy Days per Month
11
Jan
Feb
Mar
Apr
May
Jun
What was the median number of rainy days across the 6 months (Jan - Jun)?
Answer:
June
Step-by-step explanation:
because it is the month when rainy season start
2
What are the coordinates of the image?
Rx-axis (1, 6)
Answer:
over one to the right, up six
The reflection of the point (1,6) across the x-axis is (1,-6).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A figure's mirror image in the axis or plane of reflection is its image by reflection.
Given that the coordinate is (1,6). The reflection of the coordinates across the x-axis will be,
R(x₁ , y₁) ⇒ R(x₁,-y₁)
R(1,6) ⇒ R( 1,-6)
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factorise:x^3-(y-z)^3
The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)
The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.
The given expression is \(x^3 - (y - z)^3.\)To factorize it, the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)
Applying this identity to our expression, we have:
\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)
Simplifying further, we get:
\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)
So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)
the above factorization is derived from the application of a mathematical identity.
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If you know the answer please put the answer and the explanation thank you.
In the class, Lucy's score is 6.
How to work out Lucy's score?In statistics, the median is the middle value in a sorted, ascending or descending list of numbers. Thus, it represents the midpoint of the data.
The median is often compared with other descriptive statistics such as the mean (average), mode, and standard deviation.
Since Lucy is one of the 29 students in the class and her score was the same as the median score for her class.
Thus, the median score will be 15th score (i.e. the midpoint of 29). Using the frequency in of each score from the figure, let's keep adding the frequency until we reach 15 and we will then check the corresponding score at the 15th position:
2 + 2 + 4 + 7 = 15
Thus, the the corresponding score at the 15th position is 6.
Therefore, the median score is 6 and consequently Lucy's score is 6.
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Three students that share a townhouse find that their electric bill for October is $2.23 less than the September bill. The
total of both bills is $292.43, and each bill is split evenly among the roommates. How much did each owe in September?
Answer:
$47.48
Step-by-step explanation:
Let x = the amount owed Sept.
x + x - 2.23 = 292.43 Combine like terms
2x -2.23 = 292.43 Add 2.23 to both sides
2x - 2.23 + 2.23 = 292.43 + 2.23
2x = 294.66 Divide both sides by 2
\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)
x = 147.33 this is the bill for September
Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.
Total:
147.33 + 145.10 = 292.43
292.43 ÷ 3 = 97.48 This is what each will owe rounded to the nearest penny.
Side XY of triangle XYZ is extended to point W, creating a linear pair with <WYZ and <XYZ. What is the value of x?
Answer:
80
Step-by-step explanation:
I just did this and its right!
Answer:
80
Step-by-step explanation:
step-by-step explanation is xy xyz wyz xyz 80
A. A survey of 110 teachers showed that 28 of them have a second job. B. A survey of 90 teachers showed that 27 of them have a second job. C. A survey of 70 teachers showed that 21 of them have a second job. D. A survey of 80 teachers showed that 32 of them have a second job. In math class, 4 students complete individual surveys to determine the percentage of high school teachers that have a second job. Which two surveys show proportional results? Responses
Answer: The answer is B and C im 100% correct
Step-by-step explanation:
Someone please help me fast! here is screenshot algebra. QUICK PLSSS
Answer:
\(\displaystyle{f(x)=3^x-5}\)
Step-by-step explanation:
Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.
Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:
\(\displaystyle{f(x)=3^x-5}\)
or A choice.
ANSWER QUICKLY PLEASE
consider this right triangle
Enter the measure of
Step-by-step explanation:
sorry po talaga kung wala po
akong masagot dyan :(
what digit is in the
Answer:
12,868 ÷5 = 2573 R 3
Quotient: 15
Remaining: 3
Step-by-step explanation:
12,868 / 5
-10 2573
-----
028
- 25
------
0036
- 35
--------
18
- 15
-----------
03
Quotient: 15
Remaining: 3
12,868 ÷5 = 2573 R 3
0.04 as a fraction (out of 100)
Answer:
4/100
Step-by-step explanation:
0.04 = 4/100
789342 x 152387 x 69248