Answer:
The principal investment required to get a total amount of $ 1,000,000.00 from compound interest at a rate of 6% per year compounded 12 times per year over 45 years is $ 67,659.17.
Step-by-step explanation:
Given
- Accrued Amount A = $1000000
- Interest rate r = 6% = 0.06
- Compounded monthly n = 12
To determine:
Using the formula


substituting A = 1000000, r = 0.06, t = 45, and n = 12


$
Therefore, the principal investment required to get a total amount of $ 1,000,000.00 from compound interest at a rate of 6% per year compounded 12 times per year over 45 years is $ 67,659.17.
Answer:




Step-by-step explanation:
Given:

bisects angle BAC

Triangle ABC is isosceles triangle, because
Angles adjacent to the base of isosceles triangle ABC are congruent.
Hence,

The sum of the measures of all interior angles is 180°, so,

Since
bisects angle BAC, angles BAD and CAD are congruent by definition of angle bisector. So,

AD ia angle bisector in isosceles triangle drawn to the base, so it is the height. Thus, AD and BC are perpendicular. So,

Answer:
Step-by-step explanation:
Since the ratio is 4:3:1 there are a total of 8 parts
S:P:L=4:3:1
S=4(64000/8)=$32000
P=3(64000/8)=$24000
L=(64000/8)=$8000
Answer:

Step-by-step explanation:
Given the function

As we know that a function g is the inverse of function if for 

Replace n with y

Solve for y,


Therefore,
