Answer:
The balance be after he has made exactly half of his monthly payments is $56881.4.
Step-by-step explanation:
Given : Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly.
To find : What will his balance be after he has made exactly half of his monthly payments?
Solution :
Formula of monthly payment ,
Discount factor 
Where, Amount = $40,000
Rate r= 4% compounded monthly
Time = 10 years
Now, put all the values we get,
Half of the monthly payment is $807.345
Payment for 10 years is 
The balance is $96881.4-$40000=$56881.4
Therefore, The balance be after he has made exactly half of his monthly payments is $56881.4.
Answer:
9 inches
Step-by-step explanation:
Diameter=D
Radius=R
D=(2)R
(18)=(2)R
18/2=2/2 R
9=R
Answer: a
Step-by-step explanation:
Answer: OPTION C.
Step-by-step explanation:
It is important to know the following:
<u> Dilation:</u>
- Transformation in which the image has the same shape as the pre-image, but the size changes.
- Dilation preserves betweenness of points.
- Angle measures do not change.
<u>Translation:</u>
- Transformation in which the image is the same size and shape as the pre-image.
- Translation preserves betweenness of points.
- Angle measures do not change.
Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why they are similar is:
<em>Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.</em>
Answer:
The length of a side can be 3·√42 ft long
Step-by-step explanation:
The question is a word problem regarding the formula for the area of a square
The parameters given are;
Available concrete = Enough to pave 378 ft.²
Shape of patio Vince wants to make = Square
Therefore, the dimensions of the sides, s, of a square patio that has an area of 378 ft.² is found as follows;
s² = 378
Therefore, s = √378 = √(9 × 42) = 3·√42 ft
Hence, the length of a side can be 3·√42 ft long.
