Answer:
<em>24.66 mg</em><em> of medicine will be left.</em>
Step-by-step explanation:
The given exponential equation is,

Where,
A(t) = amount after time t
i = initial amount = 100 mg
r = rate of change = -14% = -0.14 (-ve is taken because the amount is decreasing)
t = time = 10 hours
Putting the values,



Answer:
100% of the 2nd monthly payment go toward the repayment of principal.
Step-by-step explanation:
The loan taken is the Principal which is mentioned as $72,500 with interest at a nominal rate of 20%. Firstly, it is important to understand that nominal rate means <em>non-compounding </em>rate. Simply put will be a "<em>one-time charged" </em>rate on the loan. Since this is given as 20% of the Principal. It is calculated thus:
×
= $14,500. So the interest on the loan is $14,500. Added to the Principal the total amount to be paid back by the company becomes: $72,500 + $14,500 = $87,000. To pay back this amount at equal end-of-month installments in 1 year (12 months), we divide the total amount by 12. i.e
= $7250. This means, the monthly payment will be $7,250. Since the monthly payment pays only 10% of the initial principal $72,500. By the second month only 20% of the Principal would have been paid. So all of the monthly payment will go towards repaying the principal
Answer:
48.6
Step-by-step explanation:
If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar
Just do 8.1*6 and you will get 48.6
Answer:

Step-by-step explanation:
Taking into account that the growth rate of the number of species on the island is proportional to the density of species (number of species between area of the island), a model based on a differential equation is proposed:

This differential equation can be solved by the method of separable variables like this:
with what you get:

. Taking exponentials on both sides of the equation:


how do you have to
, then

The probability that both the chosen students are sophomores is 6/20 or 3/10 simplified.
the expresión that represents the probability that both students have chosen are sophomore is (6c1) (5c1) /(20c2)