tan( 20 ) + 4 Sin( 20 ) =
( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =
Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =
Sin( 20 ) + 2 × <u>2 Sin(20).Cos(20)</u>/ Cos(20) =
Sin( 20 ) + 2 × <u>Sin( 40 )</u><u> </u>/ Cos( 20 ) =
Sin( 20 ) + 2<em>Sin( 40 )</em> / Cos( 20 ) =
Sin( 20 ) + 2<em>C</em><em>o</em><em>s</em><em>(</em><em> </em><em>5</em><em>0</em><em> </em><em>)</em><em> </em>/ Cos ( 20 ) =
Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =
________________________________
2 × Cos( 30 + 20 ) =
2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =
2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =
√3 Cos(20) - Sin(20)
_________________________________
Sin( 20 ) + <em>2Cos ( 20 + 30 ) </em>/ Cos( 20 ) =
Sin( 20 ) + <em>√</em><em>3</em><em> </em><em>C</em><em>o</em><em>s</em><em>(</em><em>2</em><em>0</em><em>)</em><em> </em><em>-</em><em> </em><em>S</em><em>i</em><em>n</em><em>(</em><em>2</em><em>0</em><em>)</em><em> </em>/ Cos(20) =
Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =
0 + √3 Cos(20) / Cos(20) =
√3 Cos(20) / Cos(20) =
Cos(20) simplifies from the numerator and denominator of fraction
√3 × 1 / 1 =
√3
And we're done ....
Answer:
$3,113,34
Step-by-step explanation:
The formula for calculating compound interest is
Where
A=the future total value, i.e, the money you will have after t years.
P=the initial deposit.
r=the annual interest rate.
n=the number of times that interest is compounded per year.
t=the number of years the money is saved.
In our case
A is unknown and we will have to calculate it with the formula.
P=$12,000
r=2.9%=0.029
n=365 because the interest is compounded daily and there are 365 days in a year
t=8 years
Applying the formula we get
So A=15,113.336
This is the amount of money you would have after 8 years.
Subtracting the initial deposit from this amount we obtain the interest earned I
I=15,113.336-12,000=3,113.336
Rounded to the nearest hundreth
I=$3,113,30
Answer:ddddd
Step-by-step explanation:
ddddddd
Answer:
565.2
Step-by-step explanation:
565.2
I NEED MORE DETAILS AND THE PICTURE IS BLURRY