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LekaFEV [45]
2 years ago
10

Khairul deposited $ 600 in a bank at the end of 2010 and another $ 400 in the same bank at the end of 2011. The bank offers simp

le interest at a rate of 3% per annum. Find the total amount he has in his bank at the end of 2013.
the answer is 1078 .
(But how ) ​
Mathematics
1 answer:
castortr0y [4]2 years ago
5 0

Answer:

bat puro math pede history lng

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A correlation coefficient of _____ indicates that the variables form a perfect linear relationship.
serg [7]
A correlation coefficient of 1 or -1 indicates that the variables form a perfect linear relationship.
8 0
2 years ago
The dimensions for a rectangular prism are x + 2 for the length, x + 3 for the width, and x for the height. What is the volume o
Jlenok [28]
V = lwh

V = (x + 2)(x + 3)(x)

V = (x)(x^2 + 3x + 2x + 6)

V = (x^3 + 3x^2 + 2x^2 + 6x)

V = x^3 + 5x^2 + 6x

All you do is foil the dimensions together and then combine like terms. Hope this helps!
7 0
2 years ago
Integrate this two questions ​
tankabanditka [31]

Simplify the integrands by polynomial division.

\dfrac{t^2}{1 - 3t} = -\dfrac19 \left(3t + 1 - \dfrac1{1 - 3t}\right)

\dfrac t{1 + 4t} = \dfrac14 \left(1 - \dfrac1{1 + 4t}\right)

Now computing the integrals is trivial.

5.

\displaystyle \int \frac{t^2}{1 - 3t} \, dt = -\frac19 \int \left(3t + 1 - \frac1{1-3t}\right) \, dt \\\\ = -\frac19 \left(\frac32 t^2 + t + \frac13 \ln|1 - 3t|\right) + C \\\\ = \boxed{-\frac{t^2}6 - \frac t9 - \frac{\ln|1-3t|}{27} + C}

where we use the power rule,

\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C ~~~~ (n\neq-1)

and a substitution to integrate the last term,

\displaystyle \int \frac{dt}{1-3t} = -\frac13 \int \frac{du}u \\\\ = -\frac13 \ln|u| + C \\\\ = -\frac13 \ln|1-3t| + C ~~~ (u=1-3t \text{ and } du = -3\,dt)

8.

\displaystyle \int \frac t{1+4t} \, dt = \frac14 \int \left(1 - \frac1{1+4t}\right) \, dt \\\\ = \frac14 \left(t - \frac14 \ln|1 + 4t|\right) + C \\\\ = \boxed{\frac t4 - \frac{\ln|1+4t|}{16} + C}

using the same approach as above.

5 0
1 year ago
Im timed make it quick
erica [24]

Answer:

i think its a

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve: In 2x + In 2 = 0<br> DONE
pychu [463]

Answer:

x=\frac{1}{4}

Step-by-step explanation:

We can use some logarithmic rules to solve this easily.

<em>Note: Ln means Log_e</em>

<em />

Now, lets start with the equation:

ln(2x) + ln(2) = 0\\ln(2x) = -ln(2)

Writing left side with logarithmic base e, we have:

Log_{e}(2x) = -ln(2)

We can now use the property shown below to make this into exponential form:

Log_{a}b=x\\means\\a^x=b

So, we write:

Log_{e}(2x) = -ln(2)\\e^{-ln(2)}=2x

We recognize another property of exponentials:

a^{bc}=(a^{b})^{c}

So, we write:

e^{-ln(2)}=2x\\(e^{ln(2)})^{-1}=2x

Also, another property of natural logarithms is:

e^{(ln(a))}=a

Now, we simplify:

(e^{ln(2)})^{-1}=2x\\(2)^{-1}=2x\\\frac{1}{2}=2x\\x=\frac{\frac{1}{2}}{2}\\x=\frac{1}{4}

This is the answer.

7 0
3 years ago
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