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
Answer:
9.6 ounces
Step-by-step explanation:
Step 1
We find the amount of ounces of Almonds
Total amount of nuts in the container = 24 ounces
0.20 of the nuts are almonds.
Hence,
The amount of almonds = 0.20 × 24 ounces
= 4.8 ounces
Step 2
We find the amount of ounces of hazelnuts
Total amount of nuts in the container = 24 ounces
0.20 of the nuts are hazelnuts.
Hence,
The amount of hazelnuts = 0.20 × 24 ounces
= 4.8 ounces
Step 3
Therefore, the total amount of almonds and hazelnuts in the can is
4.8 ounces + 4.8 ounces
= 9.6 ounces
Answer:
9(x² + 5y⁴) (x² - 5y⁴)
Step-by-step explanation:
9x⁴ - 225y⁸
factor out a 9
9(x⁴ - 25y⁸)
factor (x⁴ - 25y⁸)
(x⁴ - 25y⁸)
x² • x² = x⁴
5y⁴ • -5y⁴ = -25y⁸
(x² + 5y⁴) (x² - 5y⁴)
↓
9(x² + 5y⁴) (x² - 5y⁴)