You have:
1)The slant height is:
Slant height=√[(8 inches)²+(8 inches)²]
Slant height=10 inches
2)The lateral area is:
LA=(Perimeter)(Slant height)/2
LA=(6 inches)(4)(10 inches)/2
LA=120 inches²
3)The Surface area is:
SA=Base area+(PerimeterxSlant height/2)
SA=(6 inches)²+(24 inchesx10 inches/2)
SA=156 inches²
4)The volume is:
V=(6 inches)²(8 inches/3)
V=96 inches³
To solve this problem, draw the situation for a better comprehension:
As we can see, the situation describes a right triangle and we can use pythagorean theorem to solve it.
To do this, use the corresponding units.
For inches:
![\begin{gathered} h=\sqrt[]{84^2-48^2} \\ h=\sqrt[]{7056-2304} \\ h=\sqrt[]{4752} \\ h=68.9 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20h%3D%5Csqrt%5B%5D%7B84%5E2-48%5E2%7D%20%5C%5C%20h%3D%5Csqrt%5B%5D%7B7056-2304%7D%20%5C%5C%20h%3D%5Csqrt%5B%5D%7B4752%7D%20%5C%5C%20h%3D68.9%20%5Cend%7Bgathered%7D)
The suspect is 68.9 inches high.
Convert this height to feet:
The suspect is 5.74 feet high.
Answer:
500 below because you just do the opposite
Your interest formula is given to you.
Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring)
Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100
How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise prices are going up faster than you're saving.
Required interest = 55,000 * 3.24% * 1 year = 55,000 * 0.0324 * 1 = $1,782
How much buying power did you lose? The difference between your required interest and your actual interest.
Buying power lost = 1,782 - 1,100 = $682. You lost this much in buying power.
Hope that helped :)
