To calculate the total amount spent on a mortgage, multiply the monthly payment by the total number of months. For a $150,000 loan at an interest rate of 2.75% and a 15-year term, the total amount spent is approximately $181,884.60.
Explanation:To calculate the total amount spent on a mortgage, we need to find the monthly payment and multiply it by the total number of months. Using the formula for the monthly payment of a mortgage, we can calculate that the monthly payment for a $150,000 loan with an interest rate of 2.75% and a term of 15 years is approximately $1,010.47. Multiplying this monthly payment by the total number of months (15 years * 12 months per year) gives us the total amount spent, which is approximately $181,884.60.
I need help with 5 and 6!I WILL MARK YOU BRAINLIEST!!!
Answer:
5 right triangle
6 not a right triangle
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = 13^2
25+144 = 169
160 = 169
This is true so this is a right triangle
15^2 +16^2 = 18^2
225 +256 = 324
481 does not equal 324
This is not a right triangle
Answer:
5. Yes
6. No
Step-by-step explanation:
5. 13² = 12² + 5²
169 = 144 + 25
169 = 169
Satisfies pythagoras theorem, so it is a right angle triangle
6. 18² = 16² + 15²
324 = 256 + 225
324 = 481 (false)
Doesn't satisfy the pythagoras theorem, so it is not a right angle triangle
guests at an amusement park must be at least 48 inches tall to be able to ride the bumper cars. which graph represents the set of heights in inches that satisfy this requirement
Answer: c
Step-by-step explanation:
Took i
the test
All values above 48 are in the solution set, so everything to the right of the circle is shaded, the correct option is C.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Let x be the height required for the ride.
Guests must be at least 48 inches tall to be able to ride the roller coaster. It means required height is greater than or equal to 48.
x ≥ 48
Since, 48 is included in the solution set, therefore there is a closed circle at 48.
All values above 48 are in the solution set, so everything to the right of the circle is shaded.
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Captain Ishaan has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Luis and his merciless band of thieves. The Captain has probability \dfrac{4}{5} 5 4 start fraction, 4, divided by, 5, end fraction of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \dfrac{1}{7} 7 1 start fraction, 1, divided by, 7, end fraction. If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?
Answer: [tex]\frac{4}{35}[/tex]
Step-by-step explanation: The probability of Captain Ishaan hitting the pirate's ship is:
P(A) = [tex]\frac{4}{5}[/tex]
The probability of the pirate hitting Captain's ship is:
P(B) = [tex]\frac{1}{7}[/tex]
So, the probability of both hitting each other is a probability of A and B occuring, which means:
P(A) . P(B) = [tex]\frac{4}{5} . \frac{1}{7}[/tex]
P(A) . P(B) = [tex]\frac{4}{35}[/tex]
The probability of both the pirate and the Captain hit each other's ship is
[tex]\frac{4}{35}[/tex] or 11.43%
please help!! THIS IS 40 points for you to answer them for me!!!
Answer:
A) 8 and 3
B) no change
C) 10.3
what is 0.07 as a percent
Answer:
7%
Step-by-step explanation:
To work this out you would simply multiply 0.07 by 100, which gives you 7. This is because percentages are out of 100.
Answer: 7%
Step-by-step explanation:
40 points and will mark brainliest
Answer:
OK, well, I believe that the answer is 3 5/8.
And for the equation, try 3 + 3/8 + 2/8
Hope this was helpful :)
STAY SAFE!! :D
Solve 2x² = 72 for x.
Answer:
72
Step-by-step explanation:
Divide x2 x 2 by 1 1 . Divide 72 72 by 2 2 . Take the square root of both sides of the equation to eliminate the exponent on the left side. The complete solution is the result of both the positive and negative portions of the solution.
2 people can plough a field in 6 hours.
a)
How long would it take 1 person to plough the field?
b)
How long would it take 3 people to plough the field?
helpppppppppppppppppppp me plz i need this now helppp me
Answer:
1.)4/9
2.)4
3.)9
4.)1/2
5.)-2/9
6.)-1
7.)1
8.)7/4
Step-by-step explanation:
Hope this helped stay safe!!!
Rewrite 0.62 as a fraction in lowest terms.
Answer: 31/50
Step-by-step explanation: 0.62= 62/100. After we must find the Greatest Common Factor which is two.
62/2=31 100/2=50
Answer:
31/50
Step-by-step explanation:
Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, proj,u
u = (-6,8), v = (7,1)
For u = (-6,8) and v = (7,1), the vector u can be written as the sum of two orthogonal vectors (-4.76, -0.68) and (-1.24, 8.68) where one is the projection of u onto v.
Explanation:First, we need to find the vector projection of u onto v. The formula to find the vector projection of u onto v is given by: projv(u) = [(u.v)/(v.v)] * v. Here '.' represents dot product of vectors.
So, substitute the given vectors u = (-6,8) and v = (7,1) into the formula.
Calculate dot product u.v = (-6*7) + (8*1) = -42 + 8 = -34 Calculate dot product v.v = (7*7) + (1*1) = 49 + 1 = 50 Substitute u.v and v.v in the formula: projv(u) = [-34 / 50] * (7,1) = (-4.76, -0.68).
This is one of the vectors. The other vector, orthogonal to v, is given by u minus the projection: u - projv(u) = (-6,8) - (-4.76, -0.68) = (-1.24, 8.68).
So, the vector u can be written as the sum of two orthogonal vectors (-4.76, -0.68) and (-1.24, 8.68).
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What fraction is equivalent to 5.1? is a rationalk number? Explain.
Answer:
5.1 is rational because it can be expressed in the form of a fraction. In proper form the fraction is 5 1/10 and in improper form it is 51/10.
Step-by-step explanation:
JK has endpoints at J(0, 7) and K(10, –10). Find the midpoint M of JK.
Step-by-step explanation:
Midpoint=(X1+X2/2,y1+y2/2
[(0+10)/2,(7-10)/2]
(5,-3/2)
Let's brush up your math! whatch the
video below, can you anstater the
question
Answer:
Step-by-step explanation:
3 x 4 = 12
this is the answer
This response provides a general approach to solving mathematical problems due to lack of specific details in the student's question. The steps involve identifying the problem, understanding the problem, setting a plan, implementing the plan, and verifying the correctness of the solution.
Explanation:Due to the limited information provided in the question, I'll assume this is a general Mathematics question. Brainly is a platform where students can ask questions about their schoolwork and tutors will assist by providing accurate responses based on their knowledge. Since a video was mentioned but not provided, I am unable to address specific content from it. However, in Mathematics, it's crucial to understand that solutions typically involve identifying the problem, understanding the problem, making a plan, carrying out the plan, and finally, checking your work to ensure correctness. This process is universally applicable, be it Arithmetic, Algebra, Geometry, or any other branch of Mathematics.
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20 POINTS!!!!!
Shawna can paint a fence in 8 hours. Kevin can paint the same fence in 4 hours. How long will it take them working together? Which of the following equations could be used to solve this problem?
[tex]\Large{8t + 4t = 1}[/tex]
[tex]\Large{ ( \frac {1}{8} ) \cdot t + (\frac {1}{4} ) \cdot t = 1}[/tex]
[tex]\Large{( \frac {1}{t} ) \cdot 8 + (\frac {1}{t} ) \cdot 4 = 1}[/tex]
[tex]\Large{( \frac {1}{8} ) + (\frac {1}{4} ) = t}[/tex]
Answer: the answer is B
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
Para preparar una empanada hay que añadir, entre otros ingredientes, 1/4 kg de atún, 1/6 kg de cebolla, 1/8 kg de pimiento rojo y 2/5 kg de tomates. a) Para una fiesta queremos llevar seis empanadas, ¿qué cantidad de cada ingrediente necesitaremos? b) Con 2 kg de pimiento rojo, ¿cuántas empanadas podríamos hacer?
Answer:
a. 1.5 kg of tuna, 1 kg of onion, 0.75 kg of red pepper and 2.4 kg of tomatoes
b. 16 empanadas
Step-by-step explanation:
Since each of these ingredients is needed and the recipe is for a single empanada, each ingredient in the recipe must be multiplied by 6 since they are 6 empanadas, like this:
1/4 kg tuna * 6 = 6/4 = 3/2 kg tuna
1/6 kg of onion * 6 = 6/6 = 1 kg of onion
1/8 kg of red pepper * 6 = 6/8 = 3/4 kg of red pepper
2/5 kg of tomatoes * 6 = 12/5 kg of tomatoes
Therefore 1.5 kg of tuna, 1 kg of onion, 0.75 kg of red pepper and 2.4 kg of tomatoes need it.
Now, with 2 kg of red pepper, what we should do is divide this quantity by the quantity for a recipe, like this:
2 / (1/8) = 16
that is to say that with 2 kg of red pepper, a total of 16 empanadas would be made
A scientist is working with 9 meters of gold wire. How long is the wire in millimeters?
Be sure to include the correct unit in your answer.
Answer:
The length of the wire in millimeters is 9 × 10² mm.
Step-by-step explanation:
1 meter is equal to 1000 millimeters. This is the ratio that we use to convert a length in meters to one in millimeters.
0.9 m × (1000 mm/ 1 m) = 900 mm = 9 × 10² mm (we round off to 1 significant figure)
The mass a book 150 is grams on Earth. What would the mass be on Mars? Why?
Answer:
Mass on mars is 150 grams.
Step-by-step explanation:
We have, mass of a book is 150 grams on the surface of Earth. The amount of matter contained in it is called its mass.
Mass of an object remains constant always. Its value is same in every location.
If the mass of a book on the surface of Earth is 150 grams, then its mass on Mars is also 150 grams. This is because, mass of an object is independent of its location.
Coach Walker’s cheerleading team needs to raise money to pay for the entry fees to the state competition. There is a $99 team fee plus an individual fee for each cheerleader. Coach Walker found that the individual fees for her 18 cheerleaders will cost a total of $818.82. Which inequality can be used to find m, the least amount of money each cheerleader needs to raise in order to pay for both the team and individual entry fees?
Final answer:
The inequality to determine the minimum amount each cheerleader needs to raise to cover the team fee and individual entry fees is m >= $50.99. This is calculated by dividing the team fee of $99 and the total individual fees of $818.82 by 18 cheerleaders, and summing those amounts.
Explanation:
The question asks to find an inequality to determine the minimum amount of money, m, each cheerleader needs to raise to cover both the team fee and individual fees. Coach Walker's cheerleading team has a total team fee of $99 and individual fees amounting to $818.82 for 18 cheerleaders.
To find the equation that expresses the total cost, we start with the total individual fee for the cheerleaders, which is $818.82. This fee needs to be divided among the 18 cheerleaders, and when added to the team fee that is split equally, it gives the amount each cheerleader should raise.
The inequality should ensure that the total amount raised by each cheerleader, m, is enough to cover both their share of the team fee and their individual fee. The equation for the team fee per cheerleader is $99 divided by 18. We can add the individual fee of $818.82 divided by 18 to this amount to find the minimum amount each cheerleader should raise.
Setting up the Inequality
First, calculate the per person cost for the team fee: $99 / 18 = $5.50 per cheerleader.
Second, calculate the per person individual fee cost: $818.82 / 18 = $45.49 per cheerleader.
Now, we add both of these to find the total minimum amount each cheerleader should raise: $5.50 (team fee per cheerleader) + $45.49 (individual fee per cheerleader) = $50.99.
The inequality that represents the minimum amount each cheerleader needs to raise is:
m >= $50.99
This inequality ensures that each cheerleader raises at least enough to cover their portion of the fees.
6x - 8y - 5x + 3y so please tell me the answer.
thanks
Answer:
x - 5y
Step-by-step explanation:
Let's solve your question together,
6x - 8y - 5x + 3y
first arrange them according to their variable.
6x - 5x - 8y + 3y
Now, solve
x - 5y
Hope this helps :)
Number 17 pls help me for 13 points !!
Answer:
xfgfjfgxjfgj
Step-by-step explanation:gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
Estimate the square root 62 to the nearest integer!!!
Answer: 8
Step-by-step explanation: 7.874007874011811 rounded is 8
Answer:
Step-by-step explanation:
If you don't want to use a calculator, then you must know your square roots
The first step is to think, "what is the closest number to 62, that when squared rooted, it would be a whole number?"
The closest numbers would be 49 (square root is 7)and 64 (square root is 8). But 64 is wayyy closer so by knowing the square root, you can work your way down to solve.
So you know that the square will inevitably be a decimal, and that the whole number will have to be 7 ( it can't be 8 because then it'll be higher than 64) and the decimal would have to be really high, like in between 5 and 9 bc 62 and 64 are really close.
Now this is just an estimate is it doesn't have to be exact. but I'm guessing the root would be around 7.8ish (rounded to nearest tenth)
but you can have a different answer, maybe closer :)
** if anything didn't make sense pls tell me !
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
We divided the figure into 1 triangle and 2 rectangles.
Adding up the area of them, we get the total area:
A = area of triangle + area of 2 rectangles
= base x height/2 + length1 x width1 + length2 x width2
= 7 x (15 + 2 - 6 - 2)/2 + 8 x 15 + 5 x 2
= 161.5
Hope this helps!
:)
PLEASE HELP ASAP BRAINLIST AND 15 points
The table below shows the values of f(x) and G(x) for different values of X one of the functions is a quadratic function and the other is an exponential function which function is most likely increasing quadratically
Answer:
it is B i hoped i helped`
As per the given table of values, we have identified that the function that is most likely increasing quadratically is f(x).
Let's examine the given values in the table:
x f(x) g(x)
1 3 3
2 6 9
3 9 27
4 12 81
5 15 243
For a quadratic function, the differences between consecutive values of f(x) should increase by a constant amount. Let's calculate the differences between consecutive f(x) values:
x f(x) Difference (∆f(x))
1 3
2 6 6 - 3 = 3
3 9 9 - 6 = 3
4 12 12 - 9 = 3
5 15 15 - 12 = 3
The differences (∆f(x)) between consecutive f(x) values are constant and equal to 3. This indicates that the function f(x) is increasing quadratically.
Now, let's examine the differences between consecutive g(x) values:
x g(x) Difference (∆g(x))
1 3
2 9 9 - 3 = 6
3 27 27 - 9 = 18
4 81 81 - 27 = 54
5 243 243 - 81 = 162
The differences (∆g(x)) between consecutive g(x) values are not constant; they are increasing exponentially. This suggests that the function g(x) is increasing exponentially.
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Find the length of the third side to the nearest tenth.
Answer: 14
Step-by-step explanation: To get the hypotenus of a triangle all you have to do is:
7 x 7 = 14
1 x 1 = 1
14 x 1 = 14
14 x 14 = 196
square root of 196 is 14
Equation form:
a² + b² = c²
7² + 1² = 14²
Sqrt(196) = 14
A bag contains 3 red marbles, 5 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?
Answer:
0.027 to the nearest thousandth.
Step-by-step explanation:
There are 14 marbles in the bag, so:
Prob( a blue on the first draw) = 5/14.
Prob( a blue on the 2nd draw) = 4/13.
Prob( a blue on the 3rd draw) = 3/12 = 1/4.
So the required probability is 5/14 * 4/13 * 1/4
= 20/ 728
= 0.02747.
To calculate the probability of drawing three blue marbles without replacement, multiply the probabilities of drawing a blue marble in each draw. The final probability to the nearest thousandth is approximately 0.043.
Explanation:To find the probability that all three marbles drawn will be blue, we use the formula for calculating the probability of successive independent events (drawing without replacement). We calculate the probability of drawing a blue marble each time and then multiply these probabilities together.
The probability of drawing the first blue marble: P(B1) = 5/14 (since there are 5 blue marbles out of 14 total marbles).After drawing the first blue marble, there are now 4 blue marbles and 13 total marbles left. Thus, the probability of drawing the second blue marble: P(B2 | B1) = 4/13.After drawing the second blue marble, there are 3 blue marbles and 12 total marbles left. The probability of drawing the third blue marble: P(B3 | B1 and B2) = 3/12 or 1/4.To get the overall probability of drawing three blue marbles in a row, we multiply these individual probabilities together: P(all three blue) = P(B1) * P(B2 | B1) * P(B3 | B1 and B2) = (5/14)*(4/13)*(1/4).Calculating this, we get approximately 0.043 when rounded to the nearest thousandth. So, the probability that all three marbles drawn will be blue is 0.043.
Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale.
We have been given an image of a trapezoid. We are asked to find the area of the given trapezoid.
We will use area of trapezoid formula to solve our given problem.
[tex]A=\frac{1}{2}(a+b)\times h[/tex], where,
A = Area of trapezoid,
a and b = Parallel sides or bases of trapezoid.
h = Height of trapezoid.
We can see that one base is 45 feet. The other base would be 45 plus 15 feet that is [tex]45+15=60[/tex].
Now we will use Pythagoras theorem to find the height of the trapezoid as:
[tex]h^2=17^2-15^2[/tex]
[tex]h^2=289-225[/tex]
[tex]h^2=64[/tex]
[tex]\sqrt{h^2}=\sqrt{64}[/tex]
[tex]h=8[/tex]
[tex]A=\frac{1}{2}(45+60)\times 8[/tex]
[tex]A=(105)\times 4[/tex]
[tex]A=420[/tex]
Therefore, the area of the given trapezoid is 420 square feet.
A book is chosen randomly Complete the steps to find
the probability that the book is nonfiction given that it is
hard-covered
n
1 Find the probability that a chosen book is
nonfiction and hard-covered. PNH) =
2 Find the probability that a chosen book is hard-
covered. P(H) = 1
3. Calculate the conditional probability
PN n H
Answer:
1) 4/20
2) 11/20
3) 4/11
Step-by-step explanation:
Answer:
A, D, A or 4/20, 11/20, 4/11
Step-by-step explanation:
i just did it on edge and it was correct
WILL GIVE BRAINLIST!!!!!Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inches? Select three options..
A right rectangular prism with length 15 inches, width of 8 inches, and height of 6 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.
A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
Answer:
A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
Step-by-step explanation:
the cross sections that are parallel and perpendicular will have the same measurements as the non-intersected sides. the last one will be a diagonal so the intersected edge is 6 and it creates a right triangle so it must be larger than 15 inches.
Which lists all the lines that are parallel to line s?
First answer gets brainliest!!!!