Answer:
You should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.
Step-by-step explanation:
Using the formula
where
I = Interest earned
P = The principal (let say in $)
r = The Interest Rate
t = time
Given that
- P = The principal amount needed to invest (let say in $)
Thus,
100 = P × 5% × 1
100 = P × 5/100 × 1
100 × 100 = P × 5
10000 = P × 5
P = 10000/5
= 2000 (let say in $)
Thus, you should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.
Answer:
Step-by-step explanation:
Suppose we have a general triangle like the one shown in the figure.
We know the angle A, the angle B and the length b.
By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.
So
We solve the equation and thus we find the angle C.
We already know the three triangle angles.
Now we use the sine theorem to calculate the sides c and a.
The sine theorem says that:
Then
Also
Finally, we use the Heron formula to calculate the triangle area
Where s is:
Therefore
Answer:
B is the right answer.
Step-by-step explanation:
56 + 0.08x = 164
0.08x = 164 - 56
0.08x = 108
0.08x/0.08 = 108/0.08
x = 1,350
To confirm that:
56 + 0.08x
56 + 0.08(1,350)
56 + 108
= 164
164 is the answer.
Answer:
f(x)=5.05 sin((pi/12)x) + 5.15
Step-by-step explanation:
