Answer:
$6500
Step-by-step explanation:
Let the amount of money invested by Lian be $x
Interest rate = 5.2% per year
interest earned in first year will be 5.2% of amount of money invested by Lian .
(note: since in first year there will be no interest accrued on interest so interest for first year is simple interest )
interest earned in one year if money invested by Lian is $x
= 5.2% of $x (1)
But , it is given in one year she received interest of 338 dollars
so, 338 dollars must be equal to 5.2% of $x
equating $338 with 5.2% of $x , we have
5.2% of x = 338
=> (5.2/100) * x = 338
=>5.2 x = 338*100
=> x = 33800/5.2 = 6500.
Thus, amount of money Lian invested is $6500.
The figure of the prism is attached below.
The total surface area of the prism equals the sum of areas of two triangles and the three rectangles.
Surface Area of Prism = Area of 2 Triangles + Area of 3 Rectangles.Area of a Triangle = 0.5 x Base x Height
Area of a Triangle = 0.5 x 3 x 4 = 6 square units
There are 3 rectangles. From the figure we can see that the bottom most rectangle has the dimensions 4 by 6. The left most rectangle has the dimensions 3 x 6 and the right most rectangle has the dimensions 5 by 6.
So, the Area of 3 rectangles will be = (4 x 6) + (3 x 6) + (5 x 6) = 72 square units
The Surface Area of the prism will be:
Surface Area = 2 (4) + 72 = 84 square units
Thus the correct answer is option A