Answer: 15 1/3 months
Step-by-step explanation:
Daniella has $210 in the bank, and her balance grows at a rate of $3 each month. This can be written as:
b = 3m + 210 ...... equation i
Lori has $187 in the bank and her balance grows at a rate of $4.50 each month. This can be written as:
b = 4.5m + 187 ....... equation ii
Combine both equations
b = 3m + 210
b = 4.5m + 187
3m + 210 = 4.5m + 187
4.5m - 3m = 210 - 187
1.5m = 23
m = 23/1.5
m = 15 1/3 months
Answer:
The compounded annually account will earn more interest over 10 years
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
The rule of the compounded interest is A = P
, where
- n is the number of periods
The interest I = A - P
∵ Each account start with $200
∴ P = 200
∵ They have an interest rate of 5%
∴ r = 5% = 5 ÷ 100 = 0.05
∵ One account earns simple interest and the other is compounded
annually
∴ n = 1 ⇒ compounded annually
∵ The time is 10 years
∴ t = 10
→ Substitute these values in the two rules above
∵ I = 200(0.05)(10)
∴ I = 100
∴ The simple interest = $100
∵ I = A - P
∵ A = 200
∴ A = 325.7789254
∵ I = 325.7789254 - 200
∴ I = 125.7789254
∴ The compounded interest = $125.7789254
∵ The simple interest is $100
∵ The compounded interest is $125.7789254
∵ $125.7789254 > $100
∴ The compounded annually account will earn more interest
over 10 years
Answer:
At least 100 degrees
Step-by-step explanation:
Here, we want to make an inequality assertion from the graph drawn by Dr Hilton.
The correct conclusion here is that a person has a fever once his/her temperature is greater than or equal to 100 degrees.
How do we know this from the graph? from the graph, we can see a yellow circular mark placed on 100. This indicates that we are starting our consideration from the point 100 degrees. What we don not know is if our answer is less than, greater than, less than or equal to or greater than or equal to.
The correct answer is however greater than or equal to. Firstly we check the fill of the yellow circular mark. Once it is filled and not left blank, then it indicates an equal to relationship, meaning 100 degrees itself is included in the range.
finally we then consider the direction it faces and from here we can conclude that it is greater than or equal to
