Q1 a) Kamahi invests some money which earns compound interest every year. His investment
2 answers:
Without any more information, it sounds like interest is compounded continuously, in which case the value of the investment <em>A</em> is given by
where <em>P</em> is the principal investment, <em>r</em> is the interest rate, and <em>t</em> is the number of years.
At the end of the second year (<em>t</em> = 2), the value is <em>A</em> = 60,500, and after the fourth year (<em>t</em> = 4), the value is <em>A</em> = 73,205. So solve the system
for <em>r</em>. You can eliminate <em>P</em> by dividing
Take the logarithm (log here means natural log) of both sides to get
2<em>r</em> = log(121/100)
<em>r</em> = 1/2 log(121/100)
<em>r</em> ≈ 0.0953
So the interest rate is about 9.53%.
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Answer: The area of the regions covered by grass is approximately 313.375 sq ft.
Step-by-step explanation:
Given: A company is building a new park in the shape of a circle with a 25 ft diameter.
Then radius =
Required area = Area of circle - Area of rectangle + Area of triangle
Formula: Area of circle =
Area of rectangle = length x width
Area of triangle = 0.5 x base x height
Area of circle =
Area of rectangle = 20 ft x 10ft = 200 ft²
Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²
Required area = 490.625 -200+22.75 = 313.375 ft²
Hence, The area of the regions covered by grass is approximately 313.375 sq ft.