Answer:
(2, 0)
Step-by-step explanation:
The x intercept is when y is equal to 0.
Therefore,
8x-1/3*0=16
8x=16
x=2
The answer is (2,0)
Answer:
The expression
represents the number
rewritten in a+bi form.
Step-by-step explanation:
The value of
is
in term of ![i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}](https://tex.z-dn.net/?f=i%5E%7B2%7D%5B%5Ctex%5D%20can%20be%20written%20as%2C%20%3C%2Fp%3E%3Cp%3E%5Btex%5Di%5E%7B4%7D%3Di%5E%7B2%7D%5Ctimes%20i%5E%7B2%7D)
Substituting the value,

Product of two negative numbers is always positive.

Now
in term of ![i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i](https://tex.z-dn.net/?f=i%5E%7B2%7D%5B%5Ctex%5D%20can%20be%20written%20as%2C%20%3C%2Fp%3E%3Cp%3E%5Btex%5Di%5E%7B3%7D%3Di%5E%7B2%7D%5Ctimes%20i)
Substituting the value,

Product of one negative and one positive numbers is always negative.

Now
can be written as follows,

Applying radical multiplication rule,


Now,
and 

Now substituting the above values in given expression,

Simplifying,

Collecting similar terms,

Combining similar terms,

The above expression is in the form of a+bi which is the required expression.
Hence, option number 4 is correct.
Answer:
It would be the green chart
Step-by-step explanation:
We are given with the equation
n = 60.31 + 19.4 sin (πt/24)
where n is the weekly sales in thousands of item
and t is the time in weeks
The week that will result to a sales of 70,010 is
70.01 = 60.31 + 19.4 sin (πt/24)
t = 4
weeks from the first week
After 5 years the amount in the account will be $ 487.
<u>Step-by-step explanation:</u>
Compound Interest, A = 
Where A denotes the investment's future value
P is the Principal amount = $ 400.00
r is the rate of interest annually in decimals = 0.04
n is the no. of times the interest is compounded per unit time, t = 1
t - the number of years or days or months the amount is invested = 5 years
Now we have to plug in those values in the above formula as,
A = 
= 400(1+ 0.04)⁵
= 400(1.04)⁵
= 486.66 ≈ $ 487