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 slope is
The y-intercept is 9
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
- m is the slope of the line whose rule is
- b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)
Let us solve the question:
Choose any two-point from the table
∵ The line passes through the points (2, 12) and (4, 15)
∴ x1 = 2 and x2 = 4
∴ y1 = 12 and y2 = 15
→ Use the rule of m to find it
∵
∴ m =
∴ The slope is
→ Substitute its value in the form of the equation above
∴ y = x + b
→ To find b substitute x and y by x1 and y1
∴ 12 = (2) + b
∴ 12 = 3 + b
→ Subtract 3 from both sides
∴ 12 -3 = 3 - 3 + b
∴ 9 = b
∴ The y-intercept is 9
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
