Answer:
$10,144.93
Step-by-step explanation:
Amount formula; A = (Principal* rate* time) +Principal
A= (P*r*t) +P
A= 14,000
r= 9.5% OR 0.095 as a decimal
t= 4
Plug the numbers into the formula;
14,000 = (P* 0.095 *4 ) +P
14,000 = 0.38P +P
14,000 = 1.38P
Divide both sides by 1.38 to solve for P;
14,000/1.38 = P
P= 10,144.9275
Therefore, the present value (Principal) = $10,144.93
Answer:
The length of XY is either 10 or 2.5.
Step-by-step explanation:
Given information: ZY = 5, XC = 3 and DC = 4.
Case 1: Rectangle ABCD is smaller than ZBXY.
The opposite sides of the rectangle are same.
The length of ABCD is 4 and width of ABCD is 2. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.
Therefore the value of XY is 10.
Case 2: Rectangle ABCD is larger than ZBXY.
The length of ABCD is 4 and width of ABCD is 8. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.
Therefore the value of XY is 2.5.
Answer:
He served as Assistant Secretary of the Navy under President William McKinley
hope i helped
-lvr
Answer:
Step-by-step explanation:
Area of the land A - Length * Width
Given
A = 1 3/4 mi²
Length L = 2 1/3 miles
Required
Width of the property
Substitute into the formula;
A = LW
W = A/L
W = 1 3/4/(2 1/3)
W = 7/4 ÷ 7/3
W = 7/4 × 3/7
W = 3/4 miles
Hence the width of the property is 3/4 miles
Answer:
(C) 2√15
Step-by-step explanation:
Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.
... CB/CA = CT/CB
... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values
... CB = √60 = 2√15 . . . . . . . take the square root; simplify
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<em>Comment on this solution</em>
The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...
... CB = √(AC·CT) . . . . as above
This is true for any right triangle — another fact of geometry to put in your list of geometry facts.
