Answer:
Step-by-step explanation:
A)Initial amount deposited into the account is $6500 This means that the principal is P, so
P = 500
It was compounded daily. This means that it was compounded 360 times in a year. So
n = 360
The rate at which the principal was compounded is 3%. So
r = 3/100 = 0.03
It was compounded for 5 years. So
t = 5
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 6500 (1+0.03/360)^360×5
A = 6500 (1+0.00008333333)^360×5
A = 6500 (1.00008333333)^1800
A = $7551.70
B) The interest earned is Total amount earned - principal. It becomes
7551.7 - 6500 = $1051.7
Answer:
A unit rate is a rate where the second quantity is one unit , such as:
- $34 per pound
- 25 miles per hour
- 1 minute = 60 seconds
- 1 hour = 60 minutes
- Cost per litre.
Unit rate is used to compare quantities in which the second quantity is one.
a) You are given the rate as 7.4m/min,
The equation would become d = 7.4t where d is the total distance and t would be the total number of minutes.
b) d would be a positive number because the diver is ascending, which means he is moving up towards the surface.
c) To find how long it took the diver, replace d with 41.36 ( how deep the diver was) and solve for t:
41.36 = 7.4t
To solve for t, divide both sides by 7.4:
t = 41.36 / 7.4
t = 5.59 minutes ( 5 minutes and 35 seconds)
