Suppose that when Emma was born, her grandparents deposited $20,000 into an account paying 5% interest compounded quarterly. Wha
1 answer:
Answer: The balance when Emma turns 18 = $ 48,132.38
Step-by-step explanation:
When interest is compounded quarterly, the accumulated amount after t years will be :
, where P = principal, r= rate of interest( in decimal)
Given: P= $ 20,000 , r= 5% =0.05
t = 18 years
The balance when Emma turns 18 = $ 48,132.38
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Answer:
The volume =
Step-by-step explanation:
* The rule of the volume of the rectangular prism:
- the volume of any prism = base area × height
∵ The base of the rectangular prism is rectangle
∵ Area any rectangle = Length × Width = l × w
∴ The volume of the rectangular prism = l × w × h
* In the problem:
∵ l = x , w = x² , h = 5x² + 4x + 1
∴ The volume = (x)(x²)(5x² + 4x + 1)
* We will simplify it
- Multiply x by x² and then multiply the answer by the bracket
∵ x × x² = x³
∴ x³(5x² + 4x + 1)
∵ x³ × 5x² = 5x^5
∵ x³ × 4x = 4x^4
∵ x³ × 1 = x³
∴ The volume =