Rules in exponents:
<u>Let's review few rules before solving.</u>
- x⁰ = 1 (x can be any number)
- x⁻ⁿ (n ≠ 0 or any number below 0) = 1/xⁿ
Solution (9):
Solution (11):
- (-5)⁻²
- => 1/(-5)²
- => 1/-5 x -5
- => 1/25
Solution (15):
Solution (17):
Solution (26):
- k⁻⁴j⁰
- => k⁻⁴ x j⁰
- => k⁻⁴ x 1
- => k⁻⁴ = 1/k⁴
Solution (36):
- 7s⁰t⁻⁵/2⁻¹m²
- => 7 x s⁰ x t⁻⁵/2⁻¹ x m²
- => 7 x 1 x t⁻⁵ x 2/m²
- => 14 x t⁻⁵/m²
- => 14t⁻⁵m⁻²
Hoped this helped!
Answer: increasing heart rate and positive correlation
Step-by-step explanation:
The balance in Hugh's account after writing six checks, making one deposit and being charge with a service fee by the bank equals an amount of $ 116.
<h3>How to determine the balance of a bank account</h3>
Here in this question we should understand the situation like a game with the following rules for the account balance:
- A check from the account means a <em>subtraction</em> of money.
- A deposit means an <em>addition</em> of money.
- Service fee means also a <em>subtraction</em> of money.
After a careful reading, we apply the rules described above and have the following calculation:
x = $ 200 - $ 20 - $ 20 - $ 12 - $ 20 - $ 12 - $ 42 + $ 57 - $ 15
x = $ 116
The balance in Hugh's account after writing six checks, making one deposit and being charge with a service fee by the bank equals an amount of $ 116. 
To learn more on bank accounts, we kindly invite to check this verifed question: brainly.com/question/16953228
Answer: A = 2000(1.05)^5
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $2000
r = 5% = 5/100 = 0.05
n = 1 because it was compounded once in a year.
t = 5 years
Therefore, the equation that shows how much money will be in the account after five years is
A = 2000(1 + 0.05/1)^1 × 5
A = 2000(1.05)^5