Answer:
sin
^2
(
x
) over cos
(
x
) + cos
(
x
)
Answer:
The value of the acount after t years is of ![A(t) = 650(1.0072)^{12t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20650%281.0072%29%5E%7B12t%7D)
The annual growth rate is of 0.72%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$650 is invested in an account earning 8.6% interest (APR), compounded monthly.
This means that
. So
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
![A(t) = 650(1 + \frac{0.086}{12})^{12t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20650%281%20%2B%20%5Cfrac%7B0.086%7D%7B12%7D%29%5E%7B12t%7D)
![A(t) = 650(1.0072)^{12t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20650%281.0072%29%5E%7B12t%7D)
The value of the acount after t years is of ![A(t) = 650(1.0072)^{12t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20650%281.0072%29%5E%7B12t%7D)
Annual growth rate
1.0072 - 1 = 0.0072 = 0.72%
The annual growth rate is of 0.72%.
Answer:
Distributive Property
Step-by-step explanation:
![x(8x+3y)\\We\ multiply\ the\ term\ outside\ brackets\ with\ terms\ inside\ the\ bracket\ equally,\\through\ the\ distributive\ property\ method\ .\\\\Hence,\\x(8x+3y)\\=8x*x+3y*x\\=8x^2+3xy](https://tex.z-dn.net/?f=x%288x%2B3y%29%5C%5CWe%5C%20multiply%5C%20the%5C%20term%5C%20outside%5C%20brackets%5C%20with%5C%20terms%5C%20inside%5C%20the%5C%20bracket%5C%20equally%2C%5C%5Cthrough%5C%20the%5C%20distributive%5C%20property%5C%20method%5C%20.%5C%5C%5C%5CHence%2C%5C%5Cx%288x%2B3y%29%5C%5C%3D8x%2Ax%2B3y%2Ax%5C%5C%3D8x%5E2%2B3xy)
Answer:
x=5 and y=-2
Step-by-step explanation:
3x+5y=5
-(7x+5y=25)
-4x=-20
x=5
plug 5 into one of the equations. 3(5)+5y=5
y= -2
Answer:
i believe the first one should be 20 5 since its supposed to be in expanded form but i dont know the second one sorry hope you do good
Step-by-step explanation: