If Alonso pays the monthly payment each month for the full term. Alonzo will repay a total of $59,389.2 over the 6-year term of the loan if he makes the monthly payment each month.
How to find the total amount?To calculate the total amount that Alonzo will repay over the 6-year term of the loan, we need to use the formula for the monthly payment on an amortized loan:
M = P * (r/12) * (1 + r/12)^n / ((1 + r/12)^n - 1)
where:
M is the monthly payment
P is the principal amount
r is the monthly interest rate (which is the annual interest rate divided by 12)
n is the total number of payments (which is the number of years multiplied by 12).
Using the values given in the problem, we have:
P = $49,000
r = 6.55% / 12 = 0.005458333 (monthly interest rate)
n = 6 years * 12 months/year = 72
Substituting these values into the formula, we get:
M = $49,000 * 0.005458333 * (1 + 0.005458333)^72 / ((1 + 0.005458333)^72 - 1)
= $824.85 (rounded to the nearest cent)
To find the total amount he will repay, we can simply multiply the monthly payment by the number of payments:
Total amount =$824.85 * 72
Total amount = $59,389.2
Therefore, Alonzo will repay a total of $59,389.2 over the 6-year term of the loan if he makes the monthly payment each month.
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7. The towns of Washington, Franklin, and Springfield are
connected by straight roads. The towns wish to build an
airport to be shared by all of them.
a. Where should they build the airport if they want it to be the same distance from
each town's center? Describe how to find the precise location.
b. Where should they build the airport if they want it to be the same distance from
each of the roads connecting the towns? Describe how to find the precise
location.
They should build the airport at the
They should build the airport at the
n be found by locating the intersection of at least
which can be found by locating the intersection of a
a circumcenter
medians
Find the perimeter of each figure
Answer: 53 ft
Step-by-step explanation:
The perimeter of a polygon is the sum of all sides. In this example, the sides are 4 ft, 20 ft, 18 ft, and 11 ft, so the perimeter is
4+20+18+11=53 ft
Suppose that the function f is defined as follows.
Answer:
Step-by-step explanation:
a train will travel 300 kilometers at a constant rate. write an equation that represents the trains rate in kilometers per hour (r) based on how mant hours the trip takes (t).
Answer:
distance = rate x time
where distance is 300 kilometers and time is t hours. Rearranging this formula to solve for rate, we get:
rate = distance / time
Substituting the given values, we get:
r = 300 / t
Therefore, the equation that represents the train's rate in kilometers per hour based on how many hours the trip takes is r = 300/t.
Step-by-step explanation:
A local maximum of the function f(x) occurs for which x-value? A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 16, negative 2, 0, 6, 0, negative 2. Group of answer choices –4 –3 –2 –1
There is a local maximum at the point (-1,6), therefore, for x = -1
option D is correct
What do we mean by local maximum point?A local maximum point on a function is described as a point (x,y) on the graph of the function whose y coordinate is larger than all other y coordinates on the graph at points "close to'' (x,y).
We see that the function adopts values smaller than 6 to the left of x = -1, and to the right of it:
(-3, -2), (-2, 0) to the left of x = -1 where the function's value is 6
and (0, 0), and (1, -2) to the right of x = -1
Therefore, we can say that the pints (-1, 6) is a maximum, that is for x = -1, where the function renders a value of 6.
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ERROR ANALYSIS Describe and correct the error in finding the area of sector XZY when the area of
OZ is 255 square feet.
X
W
Z
X
115°
Let n be the area
of sector XZY.
115
255
n≈ 162.35 ft²
n
360
=
The wrong formula was used. The correct method is: area of sector = 115/360 * 255 ≈ 81.46 square feet.
How to Find the Area of a Sector?The area of a sector is calculated by using the formula:
Area of sector = ∅/360 * πr², where:
r is the radius of the circle
∅ is the central angle measure.
The error made was that a wrong method/formula was used in finding the area of sector.
Given the following:
Area of circle = 255 square feet (πr²)
∅ = 115°
Note that πr² represents the area of a circle, therefore, substituting the values into the formula, we have:
Area of sector = 115/360 * 255
Area of sector ≈ 81.46 square feet
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The population of a small town of 29,000 people is expected to grow exponentially at a rate of 1.9% per year. Estimate the population in 2 years' time.
Answer:
Step-by-step explanation:
Can anybody help me quick 21 points
Ocarolyn and Abby
went camping and
caught a total of a fish.
How many fish
weighed 8 1/4 pounds
or less?
XX
XX
X X
x+
XX-
X
8 8
8
8 9
Weight of Fish in Pounds
1
Confusing Calculus Parametric Equations Question
Rounding to the nearest meter, we get that the bullet will hit the ground 18603 meters away from the gun.
what is acceleration?The rate at which an object's velocity varies with respect to time is known as its acceleration. It is a vector quantity whose definition is the product of the velocity change and the time period during which the change takes place. Depending on the direction and size of the velocity change, acceleration may be positive, negative, or zero. Acceleration in physics is frequently represented by the letter "a," and its SI unit is metres per second squared (m/s2).
To find when the bullet will hit the ground, we need to find the time at which y = 0.
y = vo sin(a) t - (1/2)g[tex]t^2[/tex], where g is the acceleration due to gravity (9.8 m/s^2).
Setting y = 0, we get:
0 = vo sin(a) t - (1/2)g[tex]t^2[/tex]
Solving for t using the quadratic formula, we get:
Since we want the time when the bullet hits the ground, we take the positive root:
t = (vo sin(a) + √((vo sin(a))^2 + 2gy)) / g
Plugging in the values given, we get:
t = (550 m/s * sin(a) + √((550 m/s * sin(a))^2 + 2 * 9.8 m/s^2 * 0)) / 9.8 m/s^2
Simplifying, we get:
t = (550 m/s * sin(a)) / 9.8 m/s^2
t = 35.27 seconds (rounded to two decimal places)
To find how far from the gun the bullet will hit the ground, we need to find the value of x at this time:
x = vo cos(a) t
Plugging in the values given, we get:
x = 550 m/s * cos(a) * 35.27 s
x = 18602.57 meters
Rounding to the nearest meter, we get that the bullet will hit the ground 18603 meters away from the gun.
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i need an answer for this with explanation
Answer: 76
Step-by-step explanation:
The surface area is all of the area faces added together
The blue is 5*4 but I have 2 of those faces so I multiply by 2
(5*4*2)=40
The red is 4*2 but I have 2 of those faces so I multiply by 2
(4*2*2)=16
The green is 5*2 but I have 2 of those faces so I multiply by 2
(5*2*2)=20
Add those together
A=40+16+20=76
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=918 and x=592 who said "yes." Use a 90% confidence level.
The values received after utilizing confidence interval are (0.614, 0.674)
Poll = n = 918
X = 592
Calculating the value of p -
p = x/n
= 592/918
= 0.644
The mean of an estimate plus and minus the range of that estimate constitutes a confidence interval. inside a specific degree of confidence, this is the range of values that anticipates the estimate to fall inside if the test is repeated.
Using the formula of confidence interval -
[tex]CI = p + z\sqrt{} p ( 1-p/n)[/tex]
Substituting the values -
[tex]CI = 0.644 + 1.645 \sqrt{} ( 0.644 ( 1 - 0.644) / 918)[/tex]
= 0.644 ± 0.030
Thus, the interval values are -
= 0.644 + 0.030 = 0.674
= 0.644 - 0.030 = 0.614
With 90% certainty that this range represents the true percentage of the population who feel vulnerable to identity theft.
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Please help discrete math question.
The number of ways you can tile your walkway if you choose single tiles and double tiles is 3,992,781,803 ways.
How to find the number of ways ?To tile a 1x20 walkway using red, blue, and yellow single tiles (1x1) and green and white double tiles (1x2), we can consider the number of ways to combine the single and double tiles to fill the entire 1x20 space.
The exact number of ways to tile the 1x20 walkway using red, blue, and yellow single tiles and green and white double tiles:
= 3^20 + 3^18 x 2 + 3^16 x 4 + 3^14 x 8 + 3^12 x 16 + 3^10 x 32 + 3^8 x 64 + 3^6 x 128 + 3^4 x 256 + 3^2 x 512 + 1, 024
= 3486784401 + 258280326 + 172186884 + 38263752 + 8503056 + 1889568 + 419904 + 93456 + 20736 + 4608 + 1024
= 3,992,781,803 ways
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5.
Andre is playing a new card game. This game uses 4 sets of cards:
green, blue, yellow, and red. Each set has 15 cards numbered from
1 to 15. Select all of the actions that have more than 4 possible
outcomes. 7.SP.8, 7.SP.8b
0
selecting a blue card less than 5
selecting a red card greater than 13
selecting a yellow 12 card
selecting an 8 or 9 card of any color
selecting an even-numbered green card greater than 4
selecting a yellow card greater than 4²
selecting a blue card that is a multiple of 3
The actions that have more than 4 possible outcomes are:
- Selecting an 8 or 9 card of any color (each set has 2 cards for a total of 8 possible outcomes)
- Selecting a yellow card greater than 4² (there are 7 yellow cards that meet this criteria)
- Selecting a blue card that is a multiple of 3 (there are 5 blue cards that meet this criteria)
Therefore, only three of the given actions have more than 4 possible outcomes.
El perímetro de un campo rectangular es 300 m . Si la longitud del campo es 88 , ¿cuál es su anchura?
Based on the above, the width of the field is 62 meters.
What is the width?Based on the question, Let's say that the width of the field is denoted with 'w'.
Note that the formula for the perimeter (P) of a rectangle is:
P = 2(l + w)
where"
l = length
w = width.
Fixing the values into the equation, it will be:
300 = 2(88 + w)
So, Divide both sides by 2:
150 = 88 + w
Subtract 88 from both sides:
w = 150 - 88
w = 62
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Se text below
The perimeter of a rectangular field is 300 m. If the length of the field is 88 , what is its width?
Suppose that the function g is defined, for all real numbers, as follows.
The graph of the piecewise function is given by the image presented at the end of the answer.
What is a piece-wise function?A piece-wise function is a function that has different definitions, depending on the input of the function.
All the three definitions of the function in this problem are constant, hence the graph will be composed by horizontal lines.
The definitions are given as follows:
y = 2 to the left of x = 0.y = -1 at x = 0.y = -3 to the right of x = 0.More can be learned about piece-wise functions at brainly.com/question/19358926
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3. Point F(21, -14) is rotated-90° clockwise about the origin. What are the coordinates of F’
Answer: The coordinates of F' are (14, 21).
Step-by-step explanation:
Since we are rotating -90° clockwise about the origin (or 90° counterclockwise), we will apply (x, y) becoming (-y,x). I have also graphed this, see attached.
(21, -14) ➜ (14, 21)
The coordinates of F' are (14, 21).
Please help will mark Brainly
Factor the polynomial, if possible. Check your answer using foil.
y² + 49
Answer:
its prime
Step-by-step explanation:
it can not be factored using foil
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
-409-8
Click twice to plot each segment.
Click a segment to delete it.
Slope of the Line:
-3 -2 7
10
9
Submit Answer
5
4
7
9
10
The rise and run of the line is shown in the image below, where: slope of the line (m) = -3/4.
What is the Slope of a Line?The slope refers to how steep a line is. To find the slope of a line on coordinate plane, find the rise and the run of the line, then find their ratio.
Slope of a line (m) = change in y / change in x = rise / run
The red line in the image below represents the rise of the line while the blue line represents the run of the line.
The rise = 3 units
The run = 4 units
Therefore, we have:
Slope (m) = rise/run = -3 units / 4 units
Slope (m) = -3/4.
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What is the relation between the variables in the equation
The equation x⁴/y = 7 represents a relationship of direct proportionality between x and y, where x⁴ and y are inversely proportional to each other.
The equation x⁴/y = 7 represents a relationship between the variables x and y. Specifically, it shows that the fourth power of x divided by y is equal to 7.
This equation can be rewritten as x⁴ = 7y, which means that if we know the value of y, we can determine the corresponding value of x that satisfies the equation. For example, if y = 1, then x⁴ = 7, and taking the fourth root of both sides of the equation gives us x = ± √7.
Conversely, if we know the value of x, we can solve for y by rearranging the equation as y = x⁴/7. This shows that y is directly proportional to x raised to the fourth power, meaning that as x increases, y will also increase, but at a faster rate due to the exponent of 4.
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100 POINTS
Question:
read the paragraph and then you’d have all the information that you need
Answer:
First braclets coast 3$ and necklaces coast 6$ so now in the box you can put 3in the first one then 6 in the next and keep going its like multiples of 3 and 6 :) Hope this helps.
Step-by-step explanation:
There are 6 bottles of water.
Each bottle is 1/2 full. If you
were to combine all the
water, how many full bottles
of water would there be?
Answer:3
Step-by-step explanation: 1/2 X 6 = 3
Answer:
6 x 1/2 = 3 full bottles
Step-by-step explanation:
Are low elevation, high precipitation areas close or far from the ocean.
Answer:
low lying areas
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
The solution for x in the equation (x – 7)^2 = 36 are x = 13 and x = 1
Solving for x in the equationWe can solve for x by taking the square root of both sides of the equation:
(x – 7)^2 = 36
Taking the square root of both sides:
x - 7 = ±6
Adding 7 to both sides:
x = 7 ± 6
Therefore, the values of x are:
x = 7 + 6 = 13
x = 7 - 6 = 1
So the correct answers are x = 13 and x = 1. The values x = -29 and x = 42 are not solutions to the equation.
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what is the sum of 14, 12, 8, and 6
Answer:
Step-by-step explanation:
14+12 = 26+8 = 34 + 6 is 40
the answer is 40.
Answer:
[tex]2\sqrt{10[/tex]
Step-by-step explanation:
Add all the numbers together on your calculator
7
35cm
42cm
X =
6cm
cm
N
HELP ME FAST GUYS!! Asap
The value of x in the polygon is 5 centimetres.
How to find the side of similar polygon?A polygon is a two-dimensional geometric figure that has a particular number of sides.
Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio .
Therefore, using the ratio of the similar polygon, let's find the value of x as follows:
35 / x = 42 / 6
cross multiply
35 × 6 = 42x
210 = 42x
divide both sides of the equation by 42
x = 210 / 42
x = 5 cm
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Which expression is equivalent to (4.3x + 4)(−1.8x)?
A. −4.14x2 + 0.08x
B. −7.74x2 − 7.2
C. −7.74x2 − 7.2x
D. −7.74x2 + 7.2x
The expression that is equivalent to (4.3x + 4)(−1.8x) is -7.74x² -7.2x (optionC)
What is equivalent of expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value.
For example, 2a+6 is equivalent to 2(a+3) and will surely have thesame value when a value is substituted for a.
Similar (4.3x + 4)(−1.8x) can be simplified by multiplying -1.8x with both 4.3x and 4
= -7.74x²-7.2x
therefore the equivalent of (4.3x + 4)(−1.8x) is -7.74x²-7.2x.
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During an experiment, 2 mL of solution evaporates from a beaker each minute. After 5 minutes, there are 50.25 ml of the solution remaining. Write an equation in slope-intercept form that represents the amount of solution y in the beaker x minutes after the start of the experiment.
An equation in slope-intercept form that represents the amount of solution y in the beaker x minutes after the start of the experiment is y = 9.65x + 2.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would find the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (50.25 - 2)/(5 - 0)
Slope (m) = 48.25/5
Slope (m) = 9.65.
At data point (0, 2) and a slope of 9.65, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 2 = 9.65(x - 0)
y = 9.65x + 2
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A number rounded to the nearest thousand is 47,000 which number could be the number that was rounded
Answer:
Anything greater than or equal to 46,500, and less than or equal to 47,499 could be the answer.
For example, a number, let's say 46,589 falls within that range and may have been the number that was rounded.