3 years ago

Find the area of the sector of the circle with radius 2 meters and central angle 11pi over 6

Mathematics

1 answer:

Natali [406]3 years ago

5 0

$Area=r^2\theta/2$

$A= (2)^2\cdot 11\pi/12=11\pi/3$

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Find a recurrence relation for the amount of money in a savings account after n years if the interest rate is 6 percent and $50

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Answer:

$a_n = a_{n-1} (1.06) + 50$

Step-by-step explanation:

Suppose, $a_0$ is initial amount in the saving account,

Here, the annual interest rate is 6% and additional amount in each year is $ 50,

So, the amount after one year,

$a_1 = a_0 + 6\%\text{ of }a_0 + 50 = a_0 + 0.06a_0 + 50 = a_0(1.06) + 50$

Amount after 2 years,

$a_2 = a_1 + 6\%\text{ of }a_1 + 50 = a_1(1.06) + 50$

Amount after 3 years,

$a_3 = a_2 + 6\%\text{ of }a_2 + 50 = a_2(1.06) + 50$

................................., so on....

Hence, by following the pattern,

The amount after n years,

$a_n = a_{n-1} (1.06) + 50$

Which is the required recurrence relation for the amount of money in a savings account

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Step-by-step explanation:

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