Chóp S. ABCD có đáy là vuông cạnh =4a. Các mặt bên cùng tạo với đáy góc 45o
. Gọi M, N, P là trung
điểm SA, SB, SC. Lấy Q trên cạnh SD sao cho
SD=3SQ. Tính thể tích
a) Chóp S. MNP.
b) Khối đa diện SMNPQ

Noel is hoping to make a profit (in $) on the school play and has determined the function describing the profit to be f(t) = 8t – 2654, where t is the number of tickets sold. what does the number 8 tell you?

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.

Joyce deposited $5000 in an account with an annual interest rate of 6%, compounded annually. how much money will be in the account 10 years later