Assuming that the 1.5% annual interest is split into monthly basis with the same amount, then the monthly interest should be: 1.5%/12= 0.125%.
If you put $1000 for annual interest, the saving account would become: $1000*(100%+1.5%)= $1015

If you put $1000 for monthly interest, the saving account would become: ($1000*(100%+0.125%)= $1000*1.0151035559= $1015.10

Then, the money difference should be: $1015.10-$1015= $0.10

8 0

2 years ago

Simplify square root of (1-sin theta)(1+sin theta)

Vinil7 [7]

Recall the important identities:

i) $(a-b)(a+b)= a^{2}- b^{2}$ , the difference of squares formula.

ii) $sin^{2} x+cos^{2}x=1$ , for any angle x.

Then,

from i)

$\sqrt{(1-sin(theta))(1+sin(theta))}= \sqrt{1- sin^{2}(theta) }$

then, from ii), we have

$\sqrt{1- sin^{2}(theta) }= \sqrt{cos^{2}(theta) }=cos(theta)$

Answer: cos(theta)

6 0

2 years ago