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
1.
1=87 corresponding angle.
2=180-87=93
2.
1=78 corresponding angles
2=78 verticle angles
3.
Set it up as (6x - 11) = 37
37 + 11 =48
6x = 48
x = 8
4.
Take 142 and see that it is supplementary to angle 2 so 180-142 = 38
38 is corresponding to the equation 2(x + 9)
So 2(x + 9) =38
Distributive property
2x + 18 = 38
38-18=20
2x =20
x = 10
Angle 2 is equal to 38 from supplementary to 142
I’m pretty positive about 1-3 but 4 maybe not be correct. But most likely these are correct
Answer:
11x+5.25
Step-by-step explanation:
Open the brackets
1/2 x 10x= 5x, 1/2 x 6 =3
3/4 x 8x=6x, 3/4 x 3 =2.25
Like terms together
5x + 6x + 3 + 2.25
Answer
11x + 5.25
Answer: If X = 5, z=<u>-3</u>
If X = 37, z= <u>3.4</u>
Step-by-step explanation:
We know that the formula to find the z-score for any random variable x is given by :-
, where 
= Population mean
= Population standard deviation.
As per given , we have
Then , the z-score for x =5
i.e. If X = 5, z=<u>-3</u>
When x =37,then 
i.e. If X = 37, z= <u>3.4</u>
