rocky has chosen to attend a college with a tuition cost of $15,000 per year. rocky has also earned$7,000 in scholarships and grants and his parents have agreed to pay 20% of his tuition after that. if rocky has one year to save for his part of the tuition, what is the minimum he needs to save each month to pay for his first year of college? PLZ REPLY ASAP
Answers
Answer:
$533.33333
Step-by-step explanation:
total cost=$15000
scholarships and grants=$7000
Parent's contribution= 20%of ($15000-$7000)
=20%×$8000=$1600
Rocky's part=$8000-$1600=$6400
Has 1 year to save for his part.=12 months.
6400÷12=$533.33333.
Related Questions
Consider the following invalid argument. All horses have hooves. That animal has hooves. That animal is a horse. If the second premise and the conclusion were interchanged, would the argument then be valid? Would the resulting argument be valid? A. Yes, the resulting argument would be valid. The first and second premise would force the conclusion to be true, so the argument would be valid. B. Yes, the resulting argument would be valid. The conclusion would still be false. However, the first and second premises would be true, so the argument would be valid. C. No, the resulting argument would not be valid. The two premises would not be true, so the argument would be invalid. D. No, the resulting argument would not be valid. The two premises would be true. However, they would not force the conclusion to be true, so the argument would be invalid. Use an Euler diagram to determine whether the argument is valid or invalid. Choose the correct answer below. The argument is invalid. The argument is valid. Fill in the blank to complete the sentence below. An argument of the form [(a→b)∧b]→ is called the fallacy of the
Answers
This argument is fallacious because other factors like watering the garden or a leak could also make the ground wet, not just rain.
The argument would commit the fallacy of Affirming the Consequent, and an Euler diagram would show its invalidity.
The given argument is invalid. In the original argument, the first premise states that all horses have hooves, and the second premise states that the animal in question has hooves. From these premises, the conclusion is drawn that the animal is a horse. However, this conclusion does not logically follow from the premises.
Now, if we interchange the second premise and the conclusion, the resulting argument would still be invalid. This means that the argument would not be valid regardless of the order of the second premise and the conclusion.
An argument of the form [(a→b)∧b]→ is called the fallacy of the Affirming the Consequent. This fallacy occurs when someone assumes that if the consequent (b) of a conditional statement (a→b) is true, then the antecedent (a) must also be true.
For example:
- If it rains, the ground is wet. (a→b)
- The ground is wet. (b)
- Therefore, it rained. (a)
However, this argument is fallacious because other factors like watering the garden or a leak could also make the ground wet, not just rain.
To determine the validity of an argument, we can use an Euler diagram. In this case, the diagram would show that there can be animals with hooves that are not horses, thus demonstrating that the argument is invalid.
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use the level curves to predict the location of the critical points of f and determine whether f has a saddle point, local maximum, or local minimum at each point. then use the second derivatives test to confirm your predictions. (if an answer does not exist, enter dne.)
Answers
(0,0) is a saddle point and (1,1) is a local minimum.
The point as in domain of something like the functions with the lowest value is known as the local minimum. You can calculate the local minimum by determining the function's derivative.A saddle point of minimax point is a location on the graph's surface where the slopes of all orthogonal derivatives are zero (a crucial point), but which isn't the function's local extremum.From the contour map, the level curves intersect at (0,0) . Hence (0,0) is a saddle point.
and the center of level curve 3.2 (1,1) is a local minimum.
Hence (0,0) is a saddle point and (1,1) is a local minimum.
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\(\sqrt{2x^{2} -1} \geq 1-x\)
Answers
Answer:
\(x\geq 2\)
Step-by-step explanation:
by squaring both sides:
\(2x^2 - 1 \geq x^2 + 2x - 1\)
canceling out 1
\(2x^2 \geq x^2 + 2x\)
subtract x^2 on both sides
\(x^2\geq 2x\)
divide by x on both sides
\(x\geq 2\)
x - 3 = -5
what is the answer for x?
Answers
Answer:
x = -2
Step-by-step explanation:
Add 3 to both sides of the equation.
x = -5 + 3
Add -5 and 3
x = -2
hope this helps :)
Is the answer because negative 2 was the only one that fits
if two variables are correlated, a change in one must directly produce a change in the other. t or f
Answers
If two variables are correlated, a change in one must directly produce a change in the other. (False)
What is the Correlation?Correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together. It is a value between -1 and 1 that represents the strength of the relationship between two variables.
False. If two variables are correlated, a change in one may or may not directly produce a change in the other. Correlation means that there is a relationship between two variables, but it does not necessarily mean that one causes the other. It's possible for two variables to be correlated without any causal relationship between them.
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HELP PLEASE AND FAST With a weight of approximately 6.6 x 10^6 tons, Hoover Dam spans the Colorado River between Nevada and Arizona. What is its weight in pounds? (Express your result in scientific notation.)
Answers
Answer. I need it als alsoo
Step-by-step explanation:
Instructions The Bainter family is moving to a new town and needs a place to live. The Bainters are considering renting or purchasing a home and have found a suitable option for each option. The home for sale is listed at $150,000.00. They have $30,000.00 for a down payment and are qualified for a fixed rate 30 -year mortgage with an annual interest rate of 4.2%. The rental home is currently $900.00 per month, with rent expected to increase approximately $75.00 every 4 years. Calculate the monthly mortgage payment amount using the formula: M=Pr(1+r)n(1+r)n−1. For each option, calculate the total costs after 1 year, 5 years, 10 years and 15 years. Include additional costs of home ownership such as taxes and home insurance. Consider advantages and disadvantages of renting versus purchasing a home. Determine which option is better over each interval: 1 year, 5 years, 10 years and 15 years. Defend conclusions with evidence. Here is the rubric for your project Factors to Consider Each person has their own unique circumstances when choosing whether to rent or purchase a home. These are several factors to consider: Length of time: The longer a person plans on living in an area, the more they can spread out the additional costs of purchasing a home. Property value: Note the median housing price declined in the late 2000s due to a housing recession. Additional costs: When purchasing a home, closing costs, interest on a mortgage, down payment, higher insurance, and property taxes can add up quickly. Tax savings: Changes to tax laws may result in an owner not being able to deduct interest on income taxes. What is the total first-year cost when purchasing the home?
Answers
Answer: To calculate the monthly mortgage payment amount using the formula M=Pr(1+r)n(1+r)n−1, we first need to determine the variables:
P = purchase price - down payment = $150,000 - $30,000 = $120,000
r = annual interest rate / 12 (to get the monthly rate) = 4.2% / 12 = 0.0035
n = number of payments = 30 years x 12 months per year = 360
Now we can plug these values into the formula to calculate the monthly mortgage payment:
M = $120,000 * 0.0035 * (1+0.0035)^360 / ((1+0.0035)^360 - 1)
M = $567.79
So the monthly mortgage payment amount is $567.79.
To calculate the total costs of owning vs renting over different intervals, we need to consider additional costs such as property taxes, home insurance, maintenance, and any rental increases over time.
Assuming a property tax rate of 1.5% and home insurance cost of $1,000 per year, the total costs for owning the home after 1 year would be:
Total cost of owning = down payment + (12 x mortgage payment) + property taxes + home insurance
Total cost of owning = $30,000 + (12 x $567.79) + ($150,000 x 0.015) + $1,000
Total cost of owning = $46,873.48
The total cost of renting for 1 year would be:
Total cost of renting = 12 x monthly rent
Total cost of renting = 12 x $900
Total cost of renting = $10,800
Therefore, the total cost of owning the home is higher than renting in the first year.
For the next intervals, we need to consider the rental increase every 4 years. Assuming the rental increase of $75 every 4 years, the total cost of renting after 5 years would be:
Total cost of renting = (12 x $900) + (1 x $975) + (1 x $1,050)
Total cost of renting = $11,925
Assuming an annual home maintenance cost of 1% of the home value, the total cost of owning the home after 5 years would be:
Total cost of owning = down payment + (60 x mortgage payment) + (5 x property taxes) + (5 x home insurance) + (5 x 0.01 x $150,000)
Total cost of owning = $30,000 + (60 x $567.79) + ($150,000 x 0.015 x 5) + ($1,000 x 5) + ($1,500 x 5)
Total cost of owning = $128,667.40
Therefore, the total cost of renting is lower than owning after 5 years.
We can repeat this process for 10 and 15 years to determine which option is better over each interval. However, it is important to note that the advantages and disadvantages of renting vs owning go beyond just the financial costs, and personal circumstances and priorities should also be considered.
Step-by-step explanation:
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answers
Answer:
c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
m(x) = 2(x + 4)² - 8 ← is in vertex form
with vertex = (- 4, - 8 ) → A
Triangle BCD, with vertices B(4,-7), C(6,-8), and D(7,-2), is drawn on the coordinate
grid below.
S
Answer: A =
6
7
D
9
What is the area, in square units, of triangle BCD?
units
Submit Answer
K
Answers
Answer: The area is 6.5
Eric made strawberry jam and raspberry jam. He made enough strawberry jam to fill 6 jars. If he made 4/5 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?
Answers
Answer:
About 5 jars to fill
a sample of 25 days of operation shows a sample mean of 290 rooms occupied per day and a sample standard deviation of 20 rooms.
Answers
The sample mean and sample standard deviation provide valuable information about a set of data, but they should be used with caution when making inferences about the population. It is important to use statistical methods to determine the reliability of these estimates and to account for sources of variability in the data.
Firstly, the sample mean is a measure of central tendency that represents the average value of a set of data. In this case, the sample mean of 290 rooms occupied per day is the sum of the number of rooms occupied each day over the 25-day period divided by the total number of days. It is important to note that the sample mean is only representative of the specific sample of 25 days and may not accurately reflect the population mean.
Secondly, the sample standard deviation is a measure of dispersion that indicates how spread out the data is from the mean. A smaller standard deviation means that the data points are closer to the mean, while a larger standard deviation means that the data points are more spread out. In this case, the sample standard deviation of 20 rooms indicates that there is some variability in the number of rooms occupied each day.
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The fare for a taxicab is $5 per trip plus $0.50 per mile. The fare for the trip from the airport to the convention center was $11.50. How many miles the trip is from the airport to the convention center?
Use m for the variable.
Answers
Answer:
m=13
Step-by-step explanation:
11.50-5.00= 6.50
6.50 divided by .50
= 13 miles
m=13
Determine the set of points at which the function is continuous. f(x, y, z) = √ 6x + 5y + z D = {(x, y, z) | z ?
Answers
f(x, y, z) is continuous at (a, b, c) for all (a, b, c) in D. Therefore, f(x, y, z) is continuous on its entire domain D.
The function f(x, y, z) = √(6x + 5y + z) is continuous everywhere in its domain, which is D = {(x, y, z) | z ≥ -6x - 5y}.
To show this, we need to show that f(x, y, z) remains continuous as we approach any point (a, b, c) in D.
Let (a, b, c) be any point in D, and let (x, y, z) be any sequence of points in D that converges to (a, b, c). We need to show that f(x, y, z) converges to f(a, b, c) as (x, y, z) approaches (a, b, c).
Since z ≥ -6x - 5y for all (x, y, z) in D, we have c ≥ -6a - 5b. This means that c - 6a - 5b ≥ 0, and we can write:
6x + 5y + z - (6a + 5b + c) = (6x - 6a) + (5y - 5b) + (z - c) ≥ 0
When we square the two sides, we obtain:
√(6x + 5y + z - (6a + 5b + c)) ≤ √(6x + 5y + z) - √(6a + 5b + c)
The triangle inequality can now be used to determine:
|f(x, y, z) - f(a, b, c)| = |√(6x + 5y + z) - √(6a + 5b + c)| ≤ √(6x + 5y + z - (6a + 5b + c))
Since (x, y, z) approaches (a, b, c), we have 6x + 5y + z - (6a + 5b + c) approaches 0, so √(6x + 5y + z - (6a + 5b + c)) approaches 0 as well. In light of the squeeze theorem, we can say:
lim(f(x, y, z), (x, y, z) -> (a, b, c)) = f(a, b, c)
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Example 3: A rectangular garden has a length of (x + 4) feet and a width of (x+3) feet.
What is the perimeter of the garden?
Answers
9514 1404 393
Answer:
4x +14 . . . feet
Step-by-step explanation:
The perimeter is given by ...
P = 2(L+W)
P = 2((x +4) +(x +3)) = 2(2x +7)
P = 4x +14
The perimeter of the garden is 4x +14 feet.
A 200 foot long zipline cable is attached to the top of a tree and extends to an anchor on the ground. The cable makes an angle of 61º with the ground. Calculate how far away the foot of the cable is to the base of the tree.
Answers
Answer:
~ 97 ft
Step-by-step explanation:
cos = adj/hyp
cos61 = adj/200
200 * cos61 = adj
adj = 96.961924049267406
~ 97 ft
The foot of the cable is 95 feet away from the base of the tree.
What is Trigonometric Function?Trigonometric functions are mathematical functions that relate the angles of a right triangle to the ratios of the sides of the triangle.
We have,
The angle between the ground and the cable is given as 61º.
In a right triangle, the side opposite the angle (in this case, the height of the tree) is related to the hypotenuse (the length of the cable) and the adjacent side (the distance from the foot of the cable to the base of the tree) by the trigonometric function cosine.
Cosine(angle) = adjacent/hypotenuse
Cos(61º) = adjacent/200 ft
adjacent = Cos(61º)x200 ft
adjacent ≈ 0.475 x 200 ft
adjacent ≈ 95 ft
Therefore, the foot of the cable is 95 feet away from the base of the tree.
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PX,PY, and PZ are the perpendicular bisectors of ARST. Find PS and XT.
Answers
Answer:
PS = 82.8 ; XT = 46.1
Step-by-step explanation:
PZ = \(\sqrt{TP^2 - TZ^2}\) = √(82.8² - 76.5²) = √1003.59
TZ = SZ = 76.5
PS = \(\sqrt{PZ^2 +SZ^2}\) = √(1003.59 + 5852.25) = 82.8 units
XT = RX = 46.1 units
The angle of depression
from the top of a cliff to
a boat is 32°. If the cliff
is 600 feet tall, how far
is the boat from the base
of the cliff?
Round to the nearest hundredth.
Answers
i think it would be 200
A researcher selects a sample of 32 participants who are assigned to participate in a study with one group. What are the degrees of freedom for this test
Answers
the degrees of freedom for this test Women found this trait to be important, and this result was significant, t(15)=8.00, p<.05
What is degrees of freedom?Various amounts of data or information can be used to estimate statistical parameters. The degrees of freedom refers to the quantity of independent data points used to estimate a parameter. The number of independent scores that are utilized in an estimate of a parameter, minus the number of parameters used as intermediary stages in the estimation of the parameter itself, is generally considered to be the measure of the degree of freedom of the estimate. The degrees of freedom, for instance, are equal to the number of independent scores (N) minus the number of parameters calculated as intermediary steps, or N 1, if the variance is to be estimated from a random sample of N independent scores.
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which equation can be used to determine the reference angle, r, if θ = 7π/12?
a. r = θ
b. r = π - θ
c. r = θ - π
d. r = 2π - θ
Answers
The equation that can be used to determine the reference angle, r, if θ = 7π/12 is option (b) r = π - θ.
A reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we need to subtract the angle from either π/2 or π (depending on which quadrant the angle is in).
In this case, 7π/12 is in the second quadrant (between π/2 and π). Therefore, we subtract 7π/12 from π to get the reference angle:
r = π - θ
r = π - 7π/12
r = (12π/12) - (7π/12)
r = 5π/12
So the reference angle, r, for θ = 7π/12 is 5π/12.
Note that option (a) r = θ is incorrect because this would give the same angle as θ, not the reference angle. Option (c) r = θ - π is incorrect because it would give a negative angle, which is not an acute angle. Option (d) r = 2π - θ is incorrect because it would give an angle in the fourth quadrant, which is not the reference angle for an angle in the second quadrant.
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The side of a square is 3^2 inches. Using the area formula A = s2, determine the area of the square.
Answers
The area of the square would be; 512 square inches.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = side x side
We are given that:
A side of a square = (8)³/² inches.
To find the area of a square we use the formula as;
Area = s²
Now Substitute with the side length in the rule given to get the area as follows:
Area=(8)³/²)²
Area = 8³
Area = 512 square inches
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A window is 34 oches wide and its perimeter is 188 inches. Write and solve an equation to determine the length of the window
Answers
Answer:
Equation:
34 * 2 + 2l = 188
Solution:
l = 60 inches
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
(2y + 14.6m + 3.8) – (34.8m + 15.6 + 2y)
Answers
Answer:
-20.2m - 11.8
Step-by-step explanation:
The equation y=ax2+bx+c goes through the coordinates (-6, 15), (0, -3), and (2, 7). What are the values of a, b, and c?
Answers
The typical method of solving this question... (School method)
The required value of the a, b, and c is 1, 18, and -3 respectively,
Given that,
The equation y=ax2+bx+c goes through the coordinates (-6, 15), (0, -3), and (2, 7). What are the values of a, b, and c is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In the given expression put x = 0 and y = -3 as ordered pair (0, -3).
-3 = 0 + 0 + c
c = -3
Similarly,
Put other ordered pair in the given equation and c from above to evaluate a and b as 1 and 18 respectively.
Thus, the required value of the a, b, and c is 1, 18, and -3 respectively,
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Geometric mean of 2 and 10
Answers
Answer:2 square root of 5
Step-by-step explanation:
The geometric mean of 2 and 10 is 2√5.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The geometric mean of a and b is √(ab).
Now,
a = 2 and b = 10
so,
The geometric mean of 2 and 10.
= √(2 x 10)
= √20
= 2√5
Thus,
The geometric mean of 2 and 10 is 2√5.
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What is the missing exponent? and the numerical answer
Answers
Answer:
? = -4
Step-by-step explanation:
Prime Factorization of 23 using the ladder diagram
HELP ME BY 7:00 PM PLEASE
Answers
Answer:
Hope this helps!
23 is a prime number, so therefore the factors of it is just 1 and itself (23)
please help thank you
Answers
Answer:
no. a is the correct answer
Step-by-step explanation:
please mark me brainliest
Answer:
D
Step-by-step explanation:
\(( {3x - 4y})^{2} \)
\((3x - 4y)(3x - 4y)\)
\(9 {x}^{2} - 12xy - 12xy + 16 {y}^{2} \)
\(9 {x}^{2} + 16 {y}^{2} - 24xy\)
index notation 3 x 7 x 7 x 7 x 7
Answers
Answer:
7203
Step-by-step explanation:
sorry if I am wrong
Answer:
Step-by-step explanation:
3×7⁴
May it help
1. Which of the following is not a linear equation in one variable?
a) 33
b) 33(x+y)
c) 33x
d) 33y
Answers
Answer:
b) 33(x+y).
Hope it helps you.Answer:
A and B
Step-by-step explanation:
33(x+y) has two variables and 33 has no variables at all.
But they are not equations, they are expressions
30 divided (3x5)divided 2 + 1?
Answers
Answer
2
Explain
3 x 5 = 15 so 30 divided by 15 equals 2. Now 2 divided by 2 equals 1. Now 1 + 1 = 2
Answer:
2
Step-by-step explanation:
30÷(3×5)÷2+1
30÷15÷2+1
2÷2+1
1+1
2
Hope dis helps