X/2-y/3=3/2
(6×x/2)-(6×y/3)=6×3/2
3x-2y=9______(1)
x/3+y/2=16/3
(6×x/3)+(6×y/2)=6×16/3
2x+3y=32_____(2)
(1)×3____9x-6y=27____(3)
(2)×2____4x+6y=64____(4)
(3)+(4)___13x=91
x=7
3(7)-2y=9
-2y=-12
y=6
Answer:
6%.
Step-by-step explanation:
We have been given that Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156.
To find the interest rate we will use simple interest formula.

I= Interest.
P= Principal amount.
r=Annual interest rate (in decimal form).
T= Time in years.
We have been given that I=156, T=5, P=520
Upon substituting our values in above formula we will get,




Let us multiply 0.06 by 100 to convert annual interest rate in percentage.

Therefore, the annual interest rate was 6%.
Answer:
dy/dx= cos(ln(x))/x
Step-by-step explanation:
y=sin(ln(x)) given
We have to use chain rule to differentiate!
Let u=ln(x) then du/dx=1/x
So we have
if y=sin(ln(x)) then y=sin(u) and dy/dx=dy/du * du/dx=cos(u) *1/x
where again u=ln(x) so
dy/dx=cos(ln(x)) *1/x
dy/dx=cos(ln(x))/x
I hope I have the right intepretation because I do see a ? in between sin and (ln(x)) .
Answer:

Step-by-step explanation:

Subtract 5 from both sides.

Simplify.

Multiply both sides by 4.

Simplify.

Divide both sides by 3.

Simplify.
