Answer:
Step-by-step explanation:
<u>Given formula:</u>
- G(t)= 63000(1 + 0.0255/4)^4t
<u>Need to find the value of t when G(t) = 150000</u>
- 150000 = 63000( 1+ 0.0255/4)^4t
- ( 1+ 0.0255/4)^4t = 150000/63000
- ( 1+ 0.0255/4)^4t = 2.3809
- 4t* log( 1+ 0.0255/4) = log 2.3809
- 4t *0.00275983965 = 0.37674115501
- t = 0.37674115501/(4*0.00275983965)
- t = 34.13 years rounded
Step-by-step explanation:
D is the 90° angle and d=15 is opposite of the angle of the same letter. The triangle's other corners are E and F, and the sides corresponding to those angles are opposite of them too.
Angle F = 35° and E= (90-35)°= 55°. Then you could use something like the Law of Sines to find the sides if you wanted as well.
Answer:
a) the point is on the line
b) the lines are the same line
Step-by-step explanation:
a) The distance from a point to a line is zero when the point satisfies the equation of the line. That is, the point is on the line.
b) Two lines are zero distance apart when they are on top of each other, indistinguishable. That is, they are the same line.
Answer:
x=11
Step-by-step explanation:
7x-9-4(x-1)=28
7x-9-4x+4=28
3x-5=28
3x=33
x=11