If Hank has the choice of taking out a 30-year loan for $165,000 at 9.1% interest. The amount that the monthly payment for the 20-year loan is more than the monthly payment for the 30-year loan is: B. $155.66.
How to find the monthly payment?For 30-year loan
P= principal = $165,000
r = Rate = 9.1% /12 = 0.00758
n = Number of months= 30years × 12 months = 360
So,
Monthly payment = 165,000×0.00758 × ( 1+0.00758)^360 / (1+0.00758)^360 -1
Monthly payment = 165,000×0.00758 × ( 1.00758)^360 / (1.00758)^360 -1
Monthly payment = 18,957.7574/14.15771760
Monthly payment = $1,339.04
For 20-year loan
P= principal = $165,000
r = Rate = 9.1% /12 = 0.00758
n = Number of months= 20years × 12 months = 240
So,
Monthly payment = 165,000×0.00758 × ( 1+0.00758)^240 / (1+0.00758)^240 -1
Monthly payment = 165,000×0.00758 × ( 1.00758)^240 / (1.00758)^240 -1
Monthly payment = 7,660.239666/5.12476186615
Monthly payment = $1,494.7
Difference = $1,339.04 - $1,494.7
Difference = $155.66
Therefore the correct option is B.
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In 2016, the cost of 2 ounces of pure gold was $2,640. Determine the cost for 1, 3, and 4 ounces of gold.
19, 85, and 182 i am cool YEE YEE BRAINLYEEST PLES
x-8=-15 solve for x
Answer:
x=-7
Step-by-step explanation:
x-8=-15
add eight to both sides since it's negative
Devin is collecting signatures for a petition to open a new park in her town. She needs to collect at least 1,000
signatures before she can schedule a meeting with the mayor. She already has 380 signatures. If each petition page
holds 80 signatures, which inequality best shows how many more pages (p) Devin needs?
Answer:
P = t - f
Step-by-step explanation:
First we need to find how many pages in total she needs so 1,000/80 - 12.5 so 13 pages. Then 380/80 4.75 of a page filled so subtract that from 12.5 to get 8 pages left to fill.
let p = pages left to fill
let T = total pages needed
let F = pages already filled
To mail 10 letters costs $ 4.50 . How much would it cost for 12 letters? Assume the relationship is proportional.
Answer:
12 letters cost 6.30 dollars
Step-by-step explanation:
hope this helps
Answer:
$5.40 for 12 letters
Step-by-step explanation:
you need to find the cost for 1 unit then multiply that by 12, so you take the cost (4.50) and divide it by letters (10) so you get 0.45. So that is the cost of q letter, then you that that unit rate and multi[ly it by the number that you need to figure out (12) so .45x12=5.40
12 letters=$5.40
Does the following make a right triangle?
A ceramic tile with sides 20 cm, 21 cm, and 29 cm
A. yes
B. no
Answer:
yes
Step-by-step explanation:
In order for it to be a right triangle, it has to be [tex]a^2+b^2=c^2[/tex].
[tex]20^2+21^2[/tex] should equal [tex]29^2[/tex]
400+441 should equal 841
So yes, the lengths make a right triange.
In fig if x+y=w+z then prove that AOB is a line.
Answer:
As Given, x+y=w+z
To Prove: AOB is a line or x+y=180
∘
(linear pair.)
According to the question,
x+y+w+z=360
∘
∣ Angles around a point.
(x+y)+(w+z)=360
∘
(x+y)+(x+y)=360
∘
∣ Given x+y=w+z
2(x+y)=360
∘
(x+y)=180
∘
Hence, x+y makes a linear pair.
Therefore, AOB is a straight line
BRAINLY
If an object is in motion and experiences no other forces it will stay in motion.
Which property of addition is shown?
3 +41 + 5 + 6 = 3 + 5+ 41 + 61
Identity property
Associative property
Commutative property
Inverse property
Answer:
ASSOCIATIVE PROPERY
Step-by-step explanation:
i need help fast fast
Answer:
D. Mountains
Step-by-step explanation:
When two Continental plates crash the land piles upward to forms mountains and hills.
Answer:
Step-by-step explanation:
I D KK
Find the slope and the y-intercept of the line.
y = 5/4x+3
Evaluate. Write your answer as a mixed number.
9 4/5 ÷ 3 1/2=
Answer:
2 4/5
Step-by-step explanation:
Answer:
It is 1 19/30. Hope that helped
A coffee shop sold 72 large cups of coffee on Monday. Each large cup of coffee cost $4.35.
What was total cost of the large cups of coffee sold by the coffee shop on Monday?
Answer:
314 large cups
Step-by-step explanation:
72x4.35=313.2
Answer:
The total amount of Large coffee cups sold should equal to 313.2
Step-by-step explanation:
4.35 x 72 = 313.2
2. Which of the following numbers are prime? a) 53 b) 12 c) 18 d) 28
Answer:
a) 53 is prime
Step-by-step explanation:
Answer:
C,D
Step-by-step explanation:
A Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself
Solve for x in simplest form 11=3/4(3x+12)
Answer: 8/9
Multiply 3/4 by 3x and 12, then subtract the number with out the variable on the right side from both sides.
The Fairview Library is getting ready to move to a bigger building. So, the librarians need to pack 2 tons of books into cardboard boxes. Each box can safely hold about 25 pounds of books. If they already packed 50 boxes, how many more boxes should they expect to use?
Given :
The librarians need to pack 2 tons of books into cardboard boxes. Each box can safely hold about 25 pounds of books. If they already packed 50 boxes.
To Find :
How many more boxes should they expect to use.
Solution :
We know, 1 ton = 2000 pounds
So, 2 ton = 4000 pounds
Minimum number of boxes required for safe handling :
[tex]n=\dfrac{4000}{25}\\\\n=160[/tex]
So, total 160 boxes required.
Therefore, 160 - 50 = 110 many more boxes should they expect to use.
Hence, this is the required solution.
Answer:
110 more boxes
Step-by-step explanation:
A hat contains six purple chips, five green chips, and three orange chips, A chip is selected and
the color is noted. Then replaced. A second chip is selected and its color is noted.
Find the probability of P (Green and Green)
Answer:
B
Step-by-step explanation:
B
Given the equation 2
Square root of x minus 5 = 2, solve for x and identify if it is an extraneous solution. (2 points)
Group of answer choices
x = 9, solution is not extraneous
x = 11, solution is extraneous
x = 9, solution is extraneous
x = 11, solution is not extraneous
Answer:
its none
Step-by-step explanation:
can someone do all the even numbers
What is the slope of a line that contains the following points (17,-12) and (17,8)
Answer:
no slope
Step-by-step explanation:
y2-y1/ x2-x1
8-(-12)/17-17 = 0
The line containing (17, -12) and (17, 8) has no slope.
The line is a vertical line with an x-intercept at x = 17.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
A line contains two points.
(17, -12) and (17, 8).
Consider,
(17, -12) = (a, b) and (17, 8) = (c, d)
The slope of the line.
Slope:
= (d - b) / (c - a)
= (8 - (-12)) / (17 - 17)
= 8 + 12 / 0
= 20 / 0
= undefined.
This means there is no slope for the line that contains (17, -12) and (17, 8).
The line is a vertical line intercepting at x = 17.
Thus,
The line containing (17, -12) and (17, 8) has no slope.
The line is a vertical line with an x-intercept at x = 17.
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Simplify the expression
Answer:
[tex]2[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep 1: Write expression
[tex]\frac{12/2(3)}{3(3)}[/tex]
Step 2: Evaluate
Divide: [tex]\frac{6(3)}{3(3)}[/tex]Multiply: [tex]\frac{18}{3(3)}[/tex]Multiply: [tex]\frac{18}{9}[/tex]Divide: [tex]2[/tex]Which expression is equivalent to 2 - 35?
Choose 1 answer:
2 + (-35)
B
--35-2
2-(-35)
D
35 - 2
Answer:
2+(-35)
Minus and a plus make a minus
2-35
Answer:
2+(-35)
Step-by-step explanation:
2-35= -33
2+(-35)= -33
What is 5-(n-4)=3(n+2)?
Answer:
-3n-6
Step-by-step explanation:
multiply each term by 3
-3(n+2)
-3n-3*2
-3n-6
Which of these is an example of numerical data?
A Color of kitchen
B. Type of house
C. Distance from home
D. Name of street
Please hurry
Answer:
C
Step-by-step explanation:
Distance is the answer that includes numerical items!
Answer:
Daily temperature
Step-by-step explanation:
The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)?
A. Domain: x>3 Range: y2 -2
B. Domain: x2 -2 Range: y> 3
C. Domain: x>-2 Range: y> 3
D. Domain: x2 3 Range: y> -2
Answer:
I think it's b I don't know for sure though
Step-by-step explanation:
I don't know for sure tho
Using inverse function concepts, the correct option is:
B. Domain: x < -2 Range: y> 3
--------------------------
The domain of a function is the set that contains all possible input values.The range of a function is the set that contains all possible output values.In the inverse function, input and output are exchanged, thus, domain and range are also exchanged.For the original function, the domain is x > 3 and the range is y < -2.Thus, for the inverse function, the domain is x < -2 and the range is y > 3, which means that option B is correct.A similar problem is given at https://brainly.com/question/24603090
Alicia watched a drone take off from a bridge. The height of the drone (in meters above the ground) t minutes
after takeoff is modeled by
h(t) = -3t2 + 12t +96
Alicia wants to know when the drone will land on the ground.
1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the
equation
h(t) =
2) How many minutes after takeoff does the drone land on the ground?
minutes
Answer:
h(t) = -3(t-8)(t+4). and 8 minutes
Step-by-step explanation:
The function can be written as: h(t) = - 3(t² - 4t - 32). As per quadratic equation, after take off, the drone will land on the ground after 8 minutes.
What is a quadratic equation?A quadratic equation is an equation that contains a variable with highest degree of 2.
Given, the height of the drone t minutes after take off is modeled by
h(t) = - 3t² + 12t + 96 = - 3(t² - 4t - 32)
Therefore, the function can be written as: h(t) = - 3(t² - 4t - 32)
Therefore, we can write the equation as:
t² - 4t - 32 = 0
⇒ t²- 8t + 4t - 32 = 0
⇒ t(t - 8) + 4(t - 8) = 0
⇒ (t + 4)(t - 8) = 0
Hence, (t + 4) = 0 and (t - 8) = 0
Therefore, t = -4, 8.
As 't' can't be negative, therefore, t = 8.
Therefore, after take off, the drone will land on the ground after 8 minutes.
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Which statement correctly compares the function shown on this graph with
the function y = 2x - 5?
A. The function shown on the graph has a smaller rate of change and lower starting point.
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
C. The function shown on the graph has a greater rate of change and a higher starting point.
D. The function shown on the graph has a greater rate of change, but a lower starting point.
The correct option is Option C: The function shown on the graph has a greater rate of change and a higher starting point.
What is the rate of change of function?The rate of change of function is the change in the value of the function with respect to x value.
rate of change of function f(x)= df(x)/dx= f'(x)
Here the function given in the question is y=2x-5
rate of change of function= f'(x)= df(x)/dx= dy/dx= d(2x-5)/dx= 2
the starting point of the function f is y-intercept of the function.
the y-intercept of the function is the point where the function touches the y-axis which can be calculated by putting x value is equals to 0.
y= 2x-5
⇒y= 2*0-5
⇒y= -5
The starting point of function is -5.
Given the graph has slope = |y-intercept| / |x intercept|
= 4/1 =4
rate of change of graph = slope of graph= 4
similarly, the y-intercept of the function is the point where the function touches the y-axis which can be calculated by putting x value is equals to 0.
The y-intercept of the graph= the starting point of the graph= -5
Therefore the function in the graph has a higher rate of change as well as a higher starting point.
From the above, it is clear that the correct option is Option C: The function shown on the graph has a greater rate of change and a higher starting point.
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Does anyone live in Alabama
Answer: No. Do you?
Step-by-step explanation:
Answer:
yes lots of people live in Alabama there is 4.903 million (2019) but that was in 2019 and people dont know how much there is in 2020 so were still figuring it out but yes there are 4.903 million (2019) people living in Alabama right now
Step-by-step explanation:
i hope this helps
this is really annoying. the notification thing keeps saying that I got messages but when I click on it there's nothing. I've gone to my inbox and everything but nothing is there and idk what to do lol
Answer:
THAT HAPPENS TO EVERYONE I PROMISE SO DONT BE ANNOYED
Step-by-step explanation:
I GET ANNOYED THO TOO
Answer: ikrrrrrrr
Step-by-step explanation:
20.) A bird is perched in a tree 28 feet above the surface of the water. He spots a
fish and dives 5 feet into the water to catch it. How far did the bird travel?
Answer:
33 feet
Step-by-step explanation:
find the quote that for -6•(-8)
Answer:
0.75
Step-by-step explanation:
The two negatives cancel each other out and divide like normal. 6 divided by 8 equals 3/4 or 0.75.
