Answer:
answer a
Step-by-step explanation:
< 
- Let's isolate
on one side of the equation. Ignore the inequality for now. We'll deal with that later.
- Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating , but if this confuses you, just do your math and keep the inequality there.
< 
- On a number line, this would include every number <em>less than </em>, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number <em>greater than </em>. But, how do we decide between answers a and c?
- If a line has point at its beginning, , then that means that every number <em>less than or equal to</em> [ ≤ ] 6 is being shown, but our equation just says <em>less than </em>[ < ] 6, so answer a is our correct answer.
Answer: f-1 (x) = x/4
Step-by-step explanation:
Step 1
Formulate a recursive sequence modeling the number of grams after n minutes.
we have that
100%-17.1%-------------- > 82.9%------------> 0.829
a(n) = 780*[0.829<span>^n]
</span>
for n=19 minutes
a(19)=780*[0.829^(19)]=22.1121 g---------------> 22.1 g
the answer is 22.1 g
The answer you are looking for is a
Answer: The value of the card after you buy your 8th coffee will be $61.3
Step-by-step explanation:
The worth of the gift card for the coffee shop is $90. Each day you use the card to get a coffee for $4.10. This means that the worth of the gift card is reducing by $4.10 each day. This rate is in arithmetic progression.
The formula for the nth term of an arithmetic sequence, Tn is expressed as
Tn = a + (n-1)d
Where a is the first term
d is the common difference
n is the number of days
From the information given,
a = $90
d = - $4.1
The explicit formula representing the amount of money available will be
Tn = 90 - 4.1(n - 1)
The value of the card after you buy your 8th coffee will be
T8 = 90 - 4.1(8 - 1) = T8 = 90 - 4.1×7
T8 = 90 - 28.7
T8 = $61.3
