Answer:
csc (- 30)° = - 2
Step-by-step explanation:
Using the trigonometric relationship
csc x =
and the exact value sin30° = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
sin(- 30)° = - sin30° = -
, thus
csc (- 30)° =
= - 2
Step-by-step explanation:
what is the question you are just showing us the lesson and modle
It would be 30%profit it in so it would be 3.00
4ab^5c (3a^4b^2c^3) = 12a^5b^7c^4...answer B
Answer:
![a) A\simeq17204.28](https://tex.z-dn.net/?f=a%29%20A%5Csimeq17204.28)
![b) A\simeq29598.74](https://tex.z-dn.net/?f=b%29%20A%5Csimeq29598.74)
![c)A\simeq50922.51](https://tex.z-dn.net/?f=c%29A%5Csimeq50922.51)
Step-by-step explanation:
The amount formula in compound interest is:
![A=P(1+\frac{r}{n} )^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D)
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $10000
![r = 11\% = \frac{11\%}{100\%}=0.11](https://tex.z-dn.net/?f=r%20%3D%2011%5C%25%20%3D%20%5Cfrac%7B11%5C%25%7D%7B100%5C%25%7D%3D0.11)
n = 4 (quarterly in a year)
a ) t = 5 years
![A=10000(1+\frac{0.11}{4} )^{(4)(5)}\\\\A=10000(1+\frac{0.11}{4} )^{20}\\\\A=17204.28431\\\\A\simeq17204.28](https://tex.z-dn.net/?f=A%3D10000%281%2B%5Cfrac%7B0.11%7D%7B4%7D%20%29%5E%7B%284%29%285%29%7D%5C%5C%5C%5CA%3D10000%281%2B%5Cfrac%7B0.11%7D%7B4%7D%20%29%5E%7B20%7D%5C%5C%5C%5CA%3D17204.28431%5C%5C%5C%5CA%5Csimeq17204.28)
b) t = 10 years
![A=10000(1+\frac{0.11}{4} )^{(4)(10)}\\\\A=10000(1+\frac{0.11}{4} )^{40}\\\\A=29598.73987\\\\A\simeq29598.74](https://tex.z-dn.net/?f=A%3D10000%281%2B%5Cfrac%7B0.11%7D%7B4%7D%20%29%5E%7B%284%29%2810%29%7D%5C%5C%5C%5CA%3D10000%281%2B%5Cfrac%7B0.11%7D%7B4%7D%20%29%5E%7B40%7D%5C%5C%5C%5CA%3D29598.73987%5C%5C%5C%5CA%5Csimeq29598.74)
c) t = 15 years
![A=10000(1+\frac{0.11}{4} )^{(4)(15)}\\\\A=10000(1+\frac{0.11}{4} )^{60}\\\\A=50922.51361\\\\A\simeq50922.51](https://tex.z-dn.net/?f=A%3D10000%281%2B%5Cfrac%7B0.11%7D%7B4%7D%20%29%5E%7B%284%29%2815%29%7D%5C%5C%5C%5CA%3D10000%281%2B%5Cfrac%7B0.11%7D%7B4%7D%20%29%5E%7B60%7D%5C%5C%5C%5CA%3D50922.51361%5C%5C%5C%5CA%5Csimeq50922.51)