The denominator of the raised fraction is what goes on the outside of the square root. So if you had 2 raised to 1/3, you'd put the 3 raised outside to the left of the radical and the 2 inside. They give the same answer, so if you know one, you can always play with the other until you get the same answer. My teacher told us in Calculus a funny/weird way to remember it is the "bottom (of the raised fraction) goes in the crack (of the radical)." Does this help??
Answer:
The answer to your equation is -47.
Step-by-step explanation:
Follow the order of operations. First do 9*5=45, and 6*-2 to get -12. Next, just finish the equation from left to right to get -47.
Answer:
7.405882353 years
Step-by-step explanation:
Simple interest is
A = P(1+rt)
Where A is the amount in the account
P is the principle invested
r is the rate and
t is the time
6593.75 = 5000( 1+ .0425*t)
Divide each side by 5000
6593.75/5000 = ( 1+ .0425*t)
1.31475 = ( 1+ .0425*t)
Subtract 1 from each side
.31475 = .0425t
Divide each side by.0425
.31475/.0425 = .0425t/.0425
7.405882353 = t
7.405882353 years
Answer:
- A) k = 18.75
- B) R(0.8) = 161419
- C) R(0.3) = 275
Step-by-step explanation:
<u>Given expression</u>
A) <u>Given</u>
<u>Solving for k</u>
- 10 = 6*e^(0.04k)
- e^(0.04k) = 10/6
- ln (e^0.04k) = ln (1.6666)
- 0.04k = 0.51
- k = 0.51/0.04
- k = 12.75
B) <u>Given</u>
<u>The value of R(0.8) is:</u>
- R(0.8) =
- 6*e^(0.8*12.75) =
- 6*e^(10.2) =
C) <u>Given</u>
<u>The value of R(0.3) is:</u>
- R(0.3) =
- 6*e^(0.3*12.75) =
- 6*e^(3.825) =
The two horizontal lines are parallel ( This is given by the red triangles)
Because the lines are parallel, the two angles 1 & 2 would be the same.
Set the two equations for the angle to equal each other and solve:
8y-6 = 7y
Add 6 to each side:
8y = 7y+6
Subtract 7y from each side:
y = 6
Now you have the value for y, solve for angle 2 by replacing y with 6:
Angle 2 = 7y = 7(6) = 42 degrees.
