Answer:
38,095.24
Step-by-step explanation:
40,000 = P(1 + 0.05)^1
P = 40,000/1.05
P = 38095.2380952
Answer:
Step-by-step explanation:
- cotx cos x - cot x = 0
- cotx( cosx - 1) = 0
1. <u>cotx = 0</u>
- x = π/2 + πn
- In the interval [0, 2π] we have π/2 and 3π/2
2. <u>cosx = 1</u>
- x = 0 + 2πn
- In the given interval we have 0 and 2π
<u>So the solution set is:</u>
The factors of 32 is 1,2,4,8,16, and 32.
Answer:
54y² +255y +300
Step-by-step explanation:
Such an expression is simplified by eliminating parentheses and combining like terms.
<h3>Eliminate parentheses</h3>
Taking the given expression at face value, we have ...
{2(3y+6)-3(-4-y)}2(3y+6)−3(−4−y)
= {6y +12 +12 +3y}(6y +12) +12 +3y
= (9y +24)(6y +12) +12 +3y
= (9y)(6y +12) +24(6y +12) +12 +3y
= 54y² +108y +144y +288 +12 +3y
<h3>Combine like terms</h3>
= 54y² +(108 +144 +3)y +(288 +12)
= 54y² +255y +300