Answer:
a. $10,943.30
b. $1,267.35
Step-by-step explanation:
P = $9,675.95
r = 6.25% = 0.0625
t = Compounded Semiannually = 2
a. Amount after 2 Years
n = 2
A = P [1 + (r / n)]^nt
A = $9,675.95 [1 + (0.0625 / 2)]² ˣ ²
A = $9,675.95 [1 + 0.03125]⁴
A = $9,675.95 [1.03125]⁴
A = $9,675.95 x 1.130982
A = $10,943.30
b. Compound Interest
Compound Interest = Final Amount - Principal Amount
Compound Interest = $10,943.30 - $9,675.95
Compound Interest = $1,267.35
8 friends share 3 cookies.
There are 3 cookies and 8 people.
We need to know how much cookie 1 friend gets.
1 friend gets 3/8 of a cookie.
There are 8 friends, so 8 x 3/8 = 3. The 8 friends will finish 3 cookies if they all have 3/8 of a cookie.
Each friend gets 3/8 of a cookie.
The answer is 8/7. 6/7 divided by 3/4 = 6/7 x 4/3. 6/7 x 4/3 = 24/21 = 8/7
The only value for x to make tanx = 0 is either 0 or 180 or 0 or pi.
Answer:
1168/3 or 389 1/3 as a mixed fraction
Step-by-step explanation:
Simplify the following:
4^2 (4×36/6 + 1/3)
4×36/6 = (4×36)/6:
4^2 ((4×36)/6 + 1/3)
4^2 = 16:
16 ((4×36)/6 + 1/3)
36/6 = (6×6)/6 = 6:
16 (4×6 + 1/3)
4×6 = 24:
16 (24 + 1/3)
Put 1/3 + 24 over the common denominator 3. 1/3 + 24 = 1/3 + (3×24)/3:
16 1/3 + (3×24)/3
3×24 = 72:
16 (1/3 + 72/3)
1/3 + 72/3 = (1 + 72)/3:
16 (1 + 72)/3
1 + 72 = 73:
16×73/3
16×73/3 = (16×73)/3:
(16×73)/3
| | 7 | 3
× | | 1 | 6
| 4 | 3 | 8
| 7 | 3 | 0
1 | 1 | 6 | 8:
Answer: 1168/3
