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3 years ago

Derivative of (4e)^x

1 answer:

6 0

we are given the expression (4e) ^x and is asked to derive the expression. we distribute first the equations resulting to 4^x e^x = y. using the rule of products,
y = 4^x e^xy' = 4^x ln 4 e^x + 4^x e^x
The final answer is y' = 4^x ln 4 e^x + 4^x e^x

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The additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year, option (b) is correct.

<h3>What is simple interest?</h3>

It is defined as the interest on the based on the principal amount, it does not include the compounded amount. The interest calculate on the initial amount or borrowed amount.

We know the formula for the simple interest is given by:

I = PRT

Where I is the simple interest.

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We have in the question:

I = $180

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Put the above values in the formula, we get:

180 = P(0.02)(1)

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The additional interest Benson pay each month is:

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Thus, the additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year option (b) is correct.

Learn more about the simple interest here:

brainly.com/question/22621039

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2 years ago

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SVETLANKA909090 [29]

Answer:

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Step-by-step explanation:

In transformations, when a number is added or subtracted to "x" directly, that is the left/right shift.

When a number is added or subtracted outside of the "rest" of the equation, that is the up/down shift.

I learned transformations with these variables:

$f(x) = \frac{a}{k(x-c)} + d$

"a" - vertical stretch (a > 1) or compression (0 < a < 1)

"k" - horizontal stretch (0 < k < 1) or compression (k > 1)

"c" - translate left (+) or right (-)

"d" - translation up (+) or down (-)

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f(x) begins 3 units right and 1 unit up of the untranslated graph.

g(x) is 4 units left and 3 units up of the untranslated graph.

g |

| f

-----------|------------ x

There is a 7 units translation left and 2 units translation up.

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mash [69]

Answer:

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Step-by-step explanation:

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