A number with the same value as 32
2 answers:
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Length = 12 m and width = m.
Solution:
Let the width of the rectangle be w.
Length of the rectangle = 2w + 5
Area of the rectangle given = 42 m²
<em>Area of the rectangle = length × width</em>
length × width = 42
(2w + 5) × w = 42
Subtract 42 from both sides, we get
Using quadratic formula,
Here,
Dimension cannot be in negative, so neglect w = –6.
Width of the rectangle = m
Hence length = 12 m and width = m.
We have been given that you invest $100,000 in an account earning 8% interest compounded annually. We are asked to find the time it will take the amount to reach $300,000.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Let us take natural log on both sides of equation.
Using natural log property , we will get:
Upon rounding to nearest tenth of year, we will get:
Therefore, it will take approximately 14.3 years until the account holds $300,000.