Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
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
substitute in the formula above
solve for t
simplify
Apply ln both sides
![ln(2)=ln[(e)^{0.036t}]](https://tex.z-dn.net/?f=ln%282%29%3Dln%5B%28e%29%5E%7B0.036t%7D%5D)
Applying property of exponents
![ln(2)=[0.036t]ln(e)](https://tex.z-dn.net/?f=ln%282%29%3D%5B0.036t%5Dln%28e%29)
Remember that ln(e) =1
![ln(2)=[0.036t]](https://tex.z-dn.net/?f=ln%282%29%3D%5B0.036t%5D)
![t=ln(2)/[0.036]](https://tex.z-dn.net/?f=t%3Dln%282%29%2F%5B0.036%5D)
2.125 = 17/8 = 21/8 as a fraction
Step by Step Solution
To convert the decimal 2.125 to a fraction follow these steps:
Step 1: Write down the number as a fraction of one:
2.125 = 2.125/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,
2.125/1 = (2.125 x 1000)/(1 x 1000) = 2125/1000.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(2125,1000) = 125. So,
(2125÷125)/(1000÷125) = 17/8 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 2125/1000 is also equal to 2 1/8 when expressed as a mixed number.
Hope that helps feel free to ask me questions
Brainliest??
Answer:
Find below:
Step-by-step explanation:
To solve this, we either find the total cos5 of buying 40 bouquets at $2.50 or find the cost of one bouquet at $120.
Cost of one in pack of 40 at $120.
120 divided by 40 = $ 3
Now, we can see that $3>$2.50
This means that Kendra is wrong to buy the bouquet pack of 40 for $120
Hope this helps.
Good Luck
100% - 60% = 40%
40% = 85
1% = 85 / 40
100% = 85/ 40 × 100
100% = $ 212.5.
