Answer:
Step-by-step explanation:
The formula for this equation is
a is the final result
p is the starting amount (deposited)
r is the interest rate
n is the number of times it's compounded
t is the time
because it says compound annually and it's after 2 years both t and n equal 2. I rounded a for you, but if you don't need it rounded here it is: 3863.345117
Please double check me I may be wrong, this is my second time doing these type of questions
Hello!
The answer are:
- Product of powers.
- Power of a power.
- Negative exponents.
<h2>Why?</h2>Let's solve it!
It's a math rule that we must solve first what's into a brake or parenthesis, so,
First: Product of powers
According to the exponent's law, we have a product of powers case, so, we need to sum the exponents and keep the base
Exponents: 5 and 3
Base: 7
Applying it we have:
Then,
We have a power of a power case, which involves multiplying the exponents:
Exponents: 3 and -4
Then,
Finally, we can apply the negative exponents, the negative exponent's rules state that negative exponents are the reciprocal of the positive exponents,
So, we will have that:
Have a nice day!
Answer:
The first term is 14
The common difference is -2.5
Step-by-step explanation:
we know that
The rule to calculate the an term in an arithmetic sequence is
where
d is the common difference
a_1 is the first term
we have that
The third term of an arithmetic sequence is equal to 9
so
substitute
----> equation A
The rule to find the sum of the the first n terms of the arithmetic sequence is equal to
we have
The sum of the first 8 term is 42
so
substitute
----> equation B
Solve the system of equations
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
the solution is (14,-2.5)
see the attached figure
therefore
The first term is 14
The common difference is -2.5
