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hjlf
3 years ago
9

Derivative of (4e)^x

Mathematics
1 answer:
love history [14]3 years ago
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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2 years ago
You split $1500 between two savings accounts one pays 4%interest and the other pays 5% after one year you have earned $69.50 in
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Use the basic simple interest formula:

P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:

                   P       *       r       *       t      =       I

Acct 1

Acct 2

If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other.  We will fill those in along with the interest rates in decimal form and the time of 1 year:

                   P        *        r        *        t        =        I

Acct 1           x               .04                1

Acct 2     1500-x          .05                 1

Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:

                  P        *        r        *        t        -        I

Acct 1         x                 .04              1               .04x

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The total Interest earned by the addition of the interest earned from both accounts is 69.50.  So we add the interest column together and set it equal to 69.50:

.04x + .05(1500 - x) = 69.50 and

.04x + 75 - .05x = 69.50 and

-.01x = -5.5 so

x = 550

That's how much money is in the account earning 4% interest.

7 0
3 years ago
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