rate is the ratio between two related quantities in different units. ... In describing the units of a rate, the word "per" is used to separate the units of the two measurements used to calculate the rate.

6 0

3 years ago

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A farmer has 400 feet of fencing she would like to use to make a rectangular enclosure. She would like to maximize the area of t

suter [353]

Answer:

100 feet would make the enclosure the longest

Step-by-step explanation:

The graph shows that at 100 feet the line is at its highest point.

7 0

3 years ago

How long would it take you to double your money is the bank pays 3.6% interest, compounded

Lapatulllka [165]

Answer:

$t=19.25\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\P=x\\r=3.6\%=3.6/100=0.036\\A=2x$

substitute in the formula above

$2x=x(e)^{0.036t}$

solve for t

simplify

$2=(e)^{0.036t}$

Apply ln both sides

$ln(2)=ln[(e)^{0.036t}]$

Applying property of exponents

$ln(2)=[0.036t]ln(e)$

Remember that ln(e) =1

$ln(2)=[0.036t]$

$t=ln(2)/[0.036]$

$t=19.25\ years$

7 0

3 years ago