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
Using compound interest, it is found that:
a) A(8) = 2389.66
b) t = 31.15
c) P = 1870.85
Compound interest:
- A(t) is the amount of money after t years.
- P is the principal(the initial sum of money).
- r is the interest rate(as a decimal value).
- n is the number of times that interest is compounded per year.
- t is the time in years for which the money is invested or borrowed.
In this problem:
- The APR is of 2.25%, hence
.
- No information about the number of compounding per year, hence
.
Item a:
, hence:



Item b:
, hence:







Item c:
, hence:




A similar problem is given at brainly.com/question/24850750
Answer:
It is multiplied by a factor of 8
Step-by-step explanation:
The first one is greater than the second one
Answer:
a=95.0 in^2
Step-by-step explanation:
The area of a circle is:
a=
r^2
First, we must find the radius
r=d/2
r=11/2
r=5.5
Substitute 5.5 in for r in the formula
a=
5.5^2
a=
30.25
Substitute 3.14 in for pi
a=3.14*30.25
a=94.985
Rounded to the nearest tenth:
a=95.0 in^2
Hope this helps! :)