Answer:
A = (cost per cup of coffee * number of cups) + balance
$15
Step-by-step explanation:
Given that :
Cost per cup of coffee = $1.50
Number of cups purchased = 4
Balance on card = $9
Let A = worth of gift card
A = (cost per cup of coffee * number of cups) + balance
A = (1.50 * 4) + 9
A = 6 + 9
A = $15
THE ANSWER WOULD BE X=2/3
Answer:

Step-by-step explanation:
The identity you will use is:

So,


Now, using the difference of sin
Note: state that 

Solving the difference of sin:



Then,

Once

And,



Therefore,

Sequence: 5/2, 5/4, 5/8, 5/16
a8=?
a1=5/2
a2=5/4
a3=5/8
a4=5/16
a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2
an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n
n=8→a8=5/2^8
a8=5/256
Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256
Answer:
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<h3>Given equations</h3>
- v + 8w = 4v and - m + 5n = - 2
<h3>Solve the first equation for v</h3>
- v + 8w = 4v
- 4v - v = 8w
- 3v = 8w
- v = 8w/3
<h3>Solve the second equation for n</h3>
- - m + 5n = - 2
- 5n = m - 2
- n = (m - 2)/5