Answer:
Ordinary annuity
Step-by-step explanation:
Given : ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account.
To find : What type of annuity is this?
Solution :
Annuity is the form of insurance in which some of the money is paid each year to secure for future.
There are two types of annuity:
Ordinary annuity - In this annuity the payment is made at the end of each period over a fixed length of time. Also in this annuity payments are made monthly, quarterly, semi-annually or annually.
Annuity due - is the opposite of ordinary annuity as in this the payment is made at the beginning of each period.
In the given situation the annuity is ordinary annuity because the investment is done each year for 5 years.
The 3.1 °F/min rate of change of the temperature and 15 minutes change duration gives the change in temperature as 46.5 °F
<h3>How can the change in temperature be found from the rate of change?</h3>
The rate at which the temperature changed = 3.1 °F/min
The duration of the change in temperature = 15 minutes
The relationship between the change in temperature, the rate of change in temperature and the time can be presented as follows;
Where;
∆T = The required change in temperature
∆t = The duration of the change = 15 minutes
Which gives;
∆T = 3.1°F/min × 15 minutes = 46.5 °F
- The change in temperature, ∆T = 46.5 °F
Learn more about the rate of change of a variable here:
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Answer:
one solution
Step-by-step explanation:
* Lets start to solve the question
- The 1st equation x - y = -4
- The 2nd equation 3x + y = 8
- We will use the elimination method to solve this system of equation
∵ x - y = -4 ⇒ (1)
∵ 3x + y = 8 ⇒ (2)
- Add the two equation (1) and (2) to eliminate y
∴ x + 3x = -4 + 8
∴ 4x = 4
- Divide both sides by 4
∴ x = 1
- Substitute the value of x in equation (1) or equation (2) to find
the value of y
- We will use equation (1)
∴ 1 - y = -4
Subtract 1 from both sides
∴ -y = -5
- Divide both sides by -1
∴ y = 5
∴ The solution is (1 , 5)
* The system has one solution
Answer:
economical activities in society
