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
Answer:
b. all real numbers
Step-by-step explanation:
The graphs of positive and negative x^2 parabolas will always have a domain of all real numbers. Even though you only have a portion of the graph and see a "restriction" on your domain values, it is incorrect to assume that the domain is limited to what you can see. As the branches of the parabola keep going up and up and up, the values of x keep getting bigger and bigger and bigger. Again, this is true for all + or - parabolas.
Answer: m = -243
Explanation:
• Solve
-27 = m/9
•Multiply 9 by 27
m/9 * -27
• Result
m = -243
Hello from MrBillDoesMath!
Answer: 9
Discussion
By the Pythagorean theorem, the length of the third side (the hypotenuse) in the triangle with sides 4 and 6 is sqrt ( 4^2 + 6^2) = sqrt (52)
Applying Pythagoras to the left most triangle (sides, x and 6) gives:
x^2 + 6^2 = m^2 (I am calling the unknown side "m)
Finally, in the big right triangle (the one containing the two right triangles)
(x + 4) ^2 = (sqrt(52)) ^2 + m^2
OK! Subtract the first equation from the second:
(x+4)^2 = 52 + m^2
x^2 + 36 = m^2
-----------------------------------------------------
( x+4)^2 - x^2 - 36 = 52 + (m^2 - m^2) =>
x^2 + 8x + 16 - x^2 -36 = 52 =>
x^2 - x^2 + 8x + 16 -36 = 52 =>
0 + 8x - 20 = 52 =>
8x = 72 =>
x = 9
Thank you,
MrB
Answer:
-430
Step-by-step explanation:
