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miss Akunina [59]
2 years ago
11

On June 10, Bertha Wooten deposited $8,241.78 in a savings account that pays 5.5% interest compounded daily. How much interest w

ill the money earn in 31 days?
Mathematics
1 answer:
lukranit [14]2 years ago
7 0
1,413,465.27

Explanation: because I did 8,241.78x5.5% and got 45,329.79. I times that by 31 for 31 days and got 1,405,223.49. I then added 8,241.78 plus 1,405,223.49 and got 1,413,465.27.
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Answer:

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Step-by-step explanation:

Given that:

f ''(x)= 6x +sinx

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We will have to integrate it twice to find the value of f(x).

Let us have a look at the basic formula of integration that we will use in the solution:

1.\ \int {(a\pm b)} \, dx =\int {a} \, dx + \int {b} \, dx \\2.\ \int {x^n} \, dx = \dfrac{x^{n+1}}{n+1}+C\\3.\ \int {sinx} \, dx = -cosx+C\\4.\ \int {cosx} \, dx = sinx+C

\int\ {f''(x)} \, dx =\int\ {(6x +sinx)} \, dx \\\Rightarrow \int\ {6x} \, dx  + \int\ {sinx} \, dx \\\\\Rightarrow 6\dfrac{x^2}{2} -cosx +C\\\Rightarrow 3{x^2} -cosx +C\\\Rightarrow f'(x)=3{x^2} -cosx +C\\

Now, integrating it again to find f(x):

f(x) =\int {f'(x)} \, dx =\int{(3{x^2} -cosx +C)} \, dx \\\Rightarrow \int{3{x^2}} \, dx  -\int{cosx} \, dx  +\int{C} \, dx\\\Rightarrow 3\times \dfrac{x^3}{3}  -sinx +Cx+D\\\Rightarrow x^3  -sinx +Cx+D\\\\\therefore f(x) = x^3  -sinx +Cx+D

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(-2, 7); (See attachment)

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