Answer:
first one: x<9 second: x<3.5 or 7/2
Step-by-step explanation:
first: substract 3 from both sides
second: substract 5 and then divide by 2
Hey there!
To find the opposite of a number, you switch its sign, and to do so, you would multiply by -1. This gives us the equation below.
n=-n+96
To find our number, we need to isolate all of our n's on one side of the equation. Let's try adding n to both sides.
2n=96
We divide both sides by 2.
n=48
As you can see, the opposite of 48 is -48, and 48 is 96 more than -48.
Therefore, our number is 48.
I hope this helps!
Answer:
82 years and 3 quarters
Step-by-step explanation:
A = P (1 + r / n)ⁿˣ
P = Principal amount
r = Annual interest rate
n = Number of compounds per year
x = time in years
A = Amount after time 'x'
10500 = 2100 (1 + 0.0195 / 4)⁴ˣ
Divide the whole equation by 2100
10500 / 2100 = ({2100 (1 + 0.004875)} / 2100 )⁴ˣ
5 = (1.004875)⁴ˣ
Taking Natural logarithm (㏑) on both sides
㏑ 5 = ㏑ (1.004875)⁴ˣ
㏑ 5 = 4x ㏑ (1.004875)
1.6094 = 4x (0.004863)
1.6094 = 0.01945x
x = 82.75
So, If compounded quarterly at an APR of 1.95% the amount deposited in savings account of $2100 will accumulate to $10500 in 82 years and 3 quarters.
Answer:
Option 3 is right.
Step-by-step explanation:
Reference angle of x is obtained by either 180-x, 180+x. or 360-x depending on the posiiton of terminal whether II quadrant or iv quadrant, or iii quadrant, etc.
In whatever way we find reference angles,
cos will remain cos only and sin will remain sin only there may be only changes in sign.
Of all the ordered pairs given, we find that I, II, and Iv there is a switch over form cos to sine and sin to cos. Hence these options cannot be for reference angles.
III option is 
show that both sign and cos changed sign. This is possible only in III quadrant.
ie reference angle of orignal angle t = 180+t
SO this option is right.
