The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Step-by-step explanation:
The given is,
Future value, F = $15,000
Interest, i = 5.9%
( compounded continuously )
Period, t = 12 years
Step:1
Formula to calculate the present with compounded continuously,
...............(1)
Substitute the values in equation (1) to find the P value,
( ∵
)

( ∵
)
We change the P (Present value) into the left side,


≅ 7389.43
P = $ 7389.43
Result:
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Answer:
$6550
Step-by-step explanation:
5000x0.31=1550
1550+5000=6550
Since, population of species A is represented by : 
Let us find the population of species A, at the end of week 1:
i.e., x = 1
i.e., 
i.e., 
i.e., 
Also, since population of species B is represented by : 
Let us find the population of species B, at the end of week 1:
i.e., x = 1
i.e., 
i.e., 
i.e., 
Thus, at the end of 1 week, species A and species B will have the same population.
Hence, option D is correct.
The numbers get smaller in division and larger in multiplying
Hi there!
To solve, we must use the following trig identity:
sin(u - v) = sin(u)cos(v) - sin(v)cos(u)
We can rewrite the left hand side of the equation as:

Split the fraction:

First fraction reduces to 1:

Simpify each with common arguments:
