Answer:
Step-by-step explanation:
Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.
Therefore, we can set up the following equation to find the new balance after 2 years:
Answer: 20π/9 cm²
Step-by-step explanation:
Central angle is given as = 50°
We should note that for a complete circle to be made, it needs 360∘. Therefore, this is 50/360 = 5/36 of the area of a sector.
Area of the sector = 5/36 × πr².
= 5/16 × π × 4²
= 5/36 × π × 16
= 80π/36
= 20π/9 cm²
Answer:
3 (z = 35)
Step-by-step explanation:
(22 + 19) + 104 + z = 180° => triangle sum theorem
41 + 104 + z = 180
145 + z = 180
145 + z - 145 = 180 - 145
z = 35
