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:
x + 3
Step-by-step explanation:
When you substitute the x for -3, it will equal 0. This means it's a zero of the function.
Let the sister be x years old.
Then Jessica is x + 5 years old.
Their ages add to 47.
x + x + 5 = 47
2x + 5 = 47
2x = 42
x = 21
x + 5 = 26
Jessica is 26, and her sister is 21.
The factorization of A is y = (x - 8)(x + 7).
The factorization of B is y = (x + 1)(x - 4)(x - 5)
In order to find these, you must first find where each graph crosses the x-axis. In the first problem it does so at 8 and -7. In order to find the correct parenthesis for those, you need to write it out as a statement and then solve for 0.
x = 8 ---> subtract 8 from both sides
x - 8 = 0
This means we use (x - 8) in our factorization.
You then need to repeat the process until you have all the pieces. In the second problem, there will be 3 instead of 2 since it crosses the axis 3 times.
