Answer:
A) zero; cannot
Step-by-step explanation:
In line with the principle of rational expectations, expectation errors are unpredictable. The expectations of all available information will not differ from the optimal projections.The word optimal projection is inexorably intertwined with the best guess in rational expectations theory.
Angles in straight line add to 180 degrees
180-142=38
180-133=47
180-38-47=95
180-95=85 degrees
B
Answer:
BRO YOU GOTTA WRITE A QUESTION
Step-by-step explanation:
Answer:
a) amount in the bank after 7 years if interest is compounded quarterly is $6,605
b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57
Step-by-step explanation:
We are given:
Principal Amount P= 5000
Rate r= 4% = 0.04
time t = 7 years
The formula used is: ![A=P(1+\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
where A is future value, P is principal amount, r is rate, n is compounded value and t is time
a) Find the amount in the bank after 7 years if interest is compounded quarterly?
If interest is compounded quarterly then n = 4
Using values given in question and finding A
![A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{4})^{4*7} \\A=5000(1+0.01)^{28}\\A=5000(1.01)^{28}\\A=5000(1.321)\\A=6,605](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D%5C%5CA%3D5000%281%2B%5Cfrac%7B0.04%7D%7B4%7D%29%5E%7B4%2A7%7D%20%5C%5CA%3D5000%281%2B0.01%29%5E%7B28%7D%5C%5CA%3D5000%281.01%29%5E%7B28%7D%5C%5CA%3D5000%281.321%29%5C%5CA%3D6%2C605)
So, amount in the bank after 7 years if interest is compounded quarterly is $6,605
b) Find the amount in the bank after 7 years if interest is compounded monthly?
If interest is compounded quarterly then n = 12
Using values given in question and finding A
![A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{12})^{12*7} \\A=5000(1+0.003)^{84}\\A=5000(1.003)^{84}\\A=5000(1.322)\\A=6,612.57](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D%5C%5CA%3D5000%281%2B%5Cfrac%7B0.04%7D%7B12%7D%29%5E%7B12%2A7%7D%20%5C%5CA%3D5000%281%2B0.003%29%5E%7B84%7D%5C%5CA%3D5000%281.003%29%5E%7B84%7D%5C%5CA%3D5000%281.322%29%5C%5CA%3D6%2C612.57)
So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57
Answer:
(x - 4)² + (y + 5)² = 81
Step-by-step explanation:
(x - 4)² + (y - -5)² = 9²
(x - 4)² + (y + 5)² = 81