Hi there
Part a
49.98−49.98×0.5
=24.99
Part b
49.98−10
=39.98
Hope it helps
Using an exponential function, it is found that:
a) 
b) 37.5 grams of the gas remains after 3.8 days.
c) The amount remaining will be of 10 grams after approximately 11 days.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Item a:
We start with 75 grams, and then work with a half-life of 3.8 days, hence the amount after t daus is given by:

Item b:
This is N when t = 3.8, hence:

37.5 grams of the gas remains after 3.8 days.
Item c:
This is t for which N(t) = 10, hence:







The amount remaining will be of 10 grams after approximately 11 days.
More can be learned about exponential functions at brainly.com/question/25537936
Answer:
x^3 + 1/x^3 = 488
Step-by-step explanation:
- x^2 + 1/x^2 = 62
- x^2 + 1/x^2 + 2 = 64
- ( adding 2 in both sides )
- (x + 1/x ) ^2 = 64
- x + 1/x = 8
now,
- ( x+ 1/x ) ^ 3 = 512
- x^3 + 1/x^3 + 3 × x × 1/x ( x + 1/x )
- x^3 + 1/x^3 + 3 ( 8 )
- ( since x + 1/x = 8 )
- x^3 + 1/x^3 + 24 = 512
- x^3 + 1/x^3 = 488
hence, we got x^3 + 1/x^3 = 488
Answer:
Step-by-step explanation:
Sales revenue x (100%+sales tax rate) = total sales including tax
sales revenue x 1.085 (100% + 8.5%) = 78120
sales revenue = 78120/1.085
sales revenue = 72000
total sales including tax - sales revenue = sales tax
78120 = 72000 = 6120
Journal entry:
cash. 78120
Sales revenue. 72000
Sales tax payable. 6120