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Geometry

by ashg84 » Sat Oct 13, 2012 7:21 pm
1. Is the measure of the interior angles of quadrilateral ABCD equal to 60 degrees?
1) Two of the interior angles of ABCD are right angles.
2) The degree of angle ABC is twice the degree

2. 10,000 is deposited in a certain account that pays r percent annual interest compounded annually. the amount D(t), in dollars, that the deposit will grow to in t years is given by D(t) = 10,000 (1 +r/100)^t. What amount will the deposit grow to in three years.

IMO - 1 -E
2 - B

Please suggest if i am correct.

Thanks
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by Anurag@Gurome » Sat Oct 13, 2012 9:04 pm
ashg84 wrote:1. Is the measure of the interior angles of quadrilateral ABCD equal to 60 degrees?
1) Two of the interior angles of ABCD are right angles.
2) The degree of angle ABC is twice the degree

IMO - 1 -E

Please suggest if i am correct.

Thanks
Sum of interior angels of a quadrilateral is 360 degrees.

(1) Two of the interior angles of ABCD are right angles implies the angles can be 90 + 90 + the remaining two angles that sum up 180.
No definite answer; NOT sufficient.

(2) The degree measure of angle ABC is twice the degree measure of angle BCD implies angle ABC = 2 * angle BCD.
No definite answer; NOT sufficient.

Combining (1) and (2), the angles can be 90 + 90 + 45 + 135 = 360 OR 90 + 90 + 60 + 120.
No definite answer; NOT sufficient.

The correct answer is E.
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by Anurag@Gurome » Sat Oct 13, 2012 9:11 pm
ashg84 wrote: 2. 10,000 is deposited in a certain account that pays r percent annual interest compounded annually. the amount D(t), in dollars, that the deposit will grow to in t years is given by D(t) = 10,000 (1 +r/100)^t. What amount will the deposit grow to in three years.

IMO - 2 - B

Please suggest if i am correct.

Thanks
Question is:
$10,000 is deposited in a certain account that pays r percent annual interest compounded annually, the amount D(t), in dollars, that the deposit will grow to in t years is given by D(t) = 10,000 {1+(r/100)}^t. What amount will the deposit grow to in 3 years?

(1) D(t) = 11,000
(2) r = 10

It is given that t = 3.

(1) D(t) = 11,000
So, 11,000 = 10,000{1 + (r/100)}^3
We can find the value of r from the above equation; SUFFICIENT.

(2) r = 10
D(t) = 10,000 {1 + (10/100)}^3
We can find the value of D from the above equation; SUFFICIENT.

The correct answer is D.
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