Answer:
ita A
Step-by-step explanation:
You can calculate the monthly payments for a 10-year fixed loan at 5.0% on a balance of $275,325 by plugging the values into the amortization formula: M = P [r(1+r)^n] / [(1+r)^n – 1]. Perform the calculations and compare the result to the answer choices.
Explanation:This question falls under the category of financial mathematics, specifically loan repayment calculations. When calculating a fixed loan, we typically use an amortization formula to find our monthly payment. The formula we use is: M = P [r(1+r)^n] / [(1+r)^n – 1], where M is our monthly payment, P is the principal loan amount (in this case $275,325), r is our monthly interest rate (annual rate of 5% divided by 12), and n is the number of payments (or the number of months, in this case, 10 years or 120 months).
Plugging in these numbers, we get M = $275,325[0.004167(1+0.004167)^120] / [(1+0.004167)^120 – 1].
After performing these calculations, you will get the monthly payment for this 10-year fixed loan. Compare this number to the choices given to get your answer.
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Roger goose had a 500-yard head start on willa. if willa's speed was 40 yards per second and roger's speed was only 20 yards per second, how long did it take willa to catch up
Which expression is equivalent to mc003-1.jpg?
Answer:
Option A is correct
The expression which is equivalent to [tex](f\cdot g)(5)[/tex] is [tex] f(5) \cdot g(5)[/tex]
Step-by-step explanation:
Using the formula:
[tex](f \cdot g)(x) = f(x) \cdot g(x)[/tex] .....[1]
Given the expression:
[tex](f\cdot g)(5)[/tex]
Substitute the value of x = 5 in [1]
we get;
[tex](f \cdot g)(5) = f(5) \cdot g(5)[/tex]
Therefore, the expression which is equivalent to [tex](f\cdot g)(5)[/tex] is [tex] f(5) \cdot g(5)[/tex]
What is the distance between point (3, 2) and line y = 1/4x-9
The length of a rectangle is 4 inches less than twice its width. If the area of the rectangle is 70 square inches, what are its demensions
Carlos swam the perimeter of a rectangular pool seven times. If the length of the pool is 21 ft and the width of the pool is 9 ft, how many feet did Carlos swim?
The total length did Carlos swim is 420 feet.
To find the perimeter.
What is rectangle?A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.
Given that:
Let the perimeter of rectangular swimming pool be x metres.
Then, its length =21 feet.
The width of the pool = 9 feet
The Perimeter of a rectangle =2(Length+Breadth)
According to the given condition, we have
Perimeter of a rectangle =2(Length+Breadth)
Perimeter of a rectangle=2(21+9)
Perimeter of a rectangle=2*30
Perimeter of a rectangle=60 feet
But, carlos swam the perimeter of a rectangular pool seven times.
Old perimeter=7*60=420 feet
Thus ,the total length did Carlos swim is 420 feet.
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for the function f(x)= -(x + 1)^2 + 4 identify the vertex, domain, and range
Answer:
Vertex = (-1, 4)
Domain = All real numbers i.e. R
Range = (-∞, 4)
Step-by-step explanation:
The vertex of the quadratic equation:
f(x) = a(x - h)² + k
Here, Vertex = (h,k)
Thus, Vertex = (-1, 4)
Domain = All real numbers i.e. R
Range = All real numbers less than or equal to 4 i.e. (-∞, 4) or f = ≤ 4.
Further, the possible values of x are called Domain.
And, the possible output we get as y is called Range.
2/3 - 4x + 7/2 = -9x + 5/6
please help!!!
Write an expression for the volume of a cylinder with a height 7in. greater than the radius.
Solve a(x - b) - 2k = l for k
What is the length of the unknown side of the right triangle? (1 point) A right triangle with hypotenuse x and legs 5 and 12 13 17 25 60
. Stephen deposited $1800 into a savings account for which interest is compounded weekly at a rate of 3.2%. How much interest will he earn after 10 years?
58.81
678.59
2478.59
im just putting this up to see if my answer was write. i did the math and unless i messed up writing i got the second answer
Greg wants to move out of his dormitory and into an apartment near his college. His parents agreed, on the condition that the rent is no more than 25% of the cost of dorm living. To get an idea of rent amounts for one-bedroom apartments, Greg looks at listings in a local newspaper and on an Internet site.
Which answer best describes the sample and population?
A. Sample: listings in a local newspaper and on an Internet site
Population: all available apartments near the college
B. Sample: all available apartments near the college
Population: all available dormitories near the college
C. Sample: all available dormitories near the college
Population: all available apartments near the college
D. Sample: all available apartments near the college
Population: listings in a local newspaper and on an Internet site
Easy math problem, please help.
O is the center of the circle. Assume that lines appear to be tangent are tangent. What is the value of x?
A. 34
B. 36.5
C. 73
D. 107
Answer:
Option C. 73
Step-by-step explanation:
In the given figure Δ OPQ is the right angle triangle because radius is always perpendicular to the tangent drawn on the circle from an external point.
Here OQ is radius and PO is tangent.
So ∠OQP = 90°
Now sum of all angles of a triangle is 180°
Therefore, ∠OPQ + ∠OQP + ∠POQ = 180°
17° + 90° + x° = 180°
107 + x = 180
x = 180 - 107
x = 73°
Option C. 73
Which of the following best describes the following set of numbers? 6 + 8 + 10 + 12 + ... + (4 + 2n) + ...
answers:
Arithmetic SequenceGeometric SeriesGeometric SequenceArithmetic Series
Answer:
The term that best describes the given set of numbers is:
Arithmetic Series.
Step-by-step explanation:
We are given a series of numbers as:
6 + 8 + 10 + 12 + ... + (4 + 2n) + ...
Clearly as wee could see that each term in the given expression is separated by a plus sign, Hence, the given expression is a series and not a sequence.
Also as we could see that each in the series is more than the preceding term by 2 i.e. the common difference of the term is 2.
( Since, the set of numbers is given as:
[tex]a_0+a_1+a_2+a_3+....[/tex]
where,
[tex]a_n=2n+4[/tex]
[tex]when,n=0\\\\a_1=4\\\\when,n=1\\\\a_1=6\\\\and\ so\ on[/tex]
Also,
[tex]a_0-a_1=2\\\\Simialrly\\a_2-a_1=2\\\\and\ so\ on[/tex]
Hence, the common difference is 2. )
Hence, the given series is an Arithmetic series.
I am posting my work for an application of integrals problem. I would love to know if anyone else agrees with my work!
Give an exact answer in simplified form. 5y+3 > -7y + 13 5y+3>−7y+13 (see pic
Th answer to the inequality will be evaluated as follows:
5y+3>-7y+3
putting like terms together we obtain:
5y+7y>3-3
2y>0
dividing both sides by 2 we get:
(2y)/2>0/2
thus
y>0
Claudia is on a motorcycle trip. She checked the odometer at the beginning of the trip, and it showed 16,789 miles. After 15 days it showed 22,189 miles. If Claudia rode the same number of miles each day how many miles did she ride in a day?
A.360 miles
B 540 miles.
C.771 miles
D.1,479 miles
please help me
22,189 - 16,789 = 5,400
5,400 / 15 = 360
360 miles a day
Which equation represents a parabola with a focus at (0,-2) and a directrix of y=6?
Hey there!!
First, let's learn the parabola formula when the focus and the directrix is given.
Formula :
[tex]y = \frac{( x - a ) ^{2} }{ 2 ( b - k ) } + \frac{( b + k ) }{2}[/tex]
We have ,
Focus : ( 0 , -2 )
Hence, a = 0 and b = -2
And k = 6
Now, we will just have to plug in the values and find out the equation.
[tex]y = \frac{( x - 0 )^{2} }{2 ( - 2 - 6 )} + \frac{( - 2 + 6 ) }{2}[/tex]
[tex]y = \frac{x^{2} }{-16}+ 2[/tex]
The final equation would be :
[tex]y = \frac{-x^{2} }{16} + 2[/tex]
Hope my answer helps!!
(08.05 HC) The work of a student to solve a set of equations is shown: Equation A: y = 15 − 2z Equation B: 3y = 3 − 4z Step 1: −3(y) = −3(15 − 2z) [Equation A is multiplied by −3.] 3y = 3 − 4z [Equation B] Step 2: −3y = 15 − 2z [Equation A in Step 1 is simplified.] 3y = 3 − 4z [Equation B] Step 3: 0 = 18 − 6z [Equations in Step 2 are added.] Step 4: 6z = 18 Step 5: z = 3 In which step did the student first make an error?
Answer:
STEP 2
Step-by-step explanation:Simplifying
-3(y) = -3(15 -2z)
should yield
-3y = -45 +6z
What is the surface area of a sphere with the given dimension? Express your answer to nearest hundredth. Use 3.14 for pi. Radius = 5cm.
The equation of a parabola is given. y=−16x2+7x−80 What is the equation of the directrix of the parabola?
ANSWER TRUTHFULLY WILL NAME YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!
The ordered pairs (1,5) (2,25) (3,125) (4,625) and (5,3125) represent the function y=5^x. How does this rule represent the function?
A) y=x5
B) y=5x
C) y=5^5=x
D) y=x+5
What is the domain of the function
Answer:
The domain of the function is x>=-7
Step-by-step explanation:
The domain is all the values that x can take so the function is defined, that means we can find a value of y
The sqrt is defined only for positive values and zero. So the expression in the sqrt must satisfy that
6x + 42 >=0
We only have to find x
6x >=-42
x>=-42/6
x>=-7
So the answer is D x>=-7
What is the measure of BAC
50
80
100
130
URGENT PLEASE HELP
Suppose 20% of all widgets produced at a factory are defective.
A simulation is used to model widgets randomly selected and then recorded as defective or working.
Which simulation best models the scenario?
Place 50 equally sized pieces of paper in a hat. Of the 50, 5 read “defective” and the rest read “working”.
Place 25 equally sized pieces of paper in a hat. Of the 25, 5 read “defective” and the rest read “working”.
Place 20 equally sized pieces of paper in a hat. Of the 20, 5 read “defective” and the rest read “working”.
Place 100 equally sized pieces of paper in a hat. Of the 100, 5 read “defective” and the rest read “working”.
Melissa pulls the pep club to see which sport they like. She finds that 45 students like soccer only, 35 students like football only, and 15 students like soccer and football. There is no one who doesn't like at least one of the two sports mentioned. Which venn diagram would be an appropriate model for the data melissa collected
The length of a rectangle is 7 cm less than twice its width. if the area of the rectangle is 39 cm2, find the dimensions of the rectangle.
Someone please help
find the volume of the specificed cone. Use 3.14 for pie, and round your answer to the nearest whole number.
Radius=9 in., Height=8 in.
a. 1017 cu. in.
b. 151 cu. in.
c. 678 cu. in.
d. 1356 cu. in.
I don't understand this question. Could anyone excplain to me what it wants me to do and what the answer is?
What is the diameter of a sphere that has a surface area of 1041 square inches?
A) 9.1
B) 22.5
C) 40.3
D) 18.2