Answer: it will take 14 years
Step-by-step explanation:
A savings account is started with an initial deposit of $600. This means that the principal P is
P = 600
It was compounded annually. This means that it was compounded once in a year. Therefore,
n = 1
The rate at which the principal was compounded is 2.1%. So
r = 2.1/100 = 0.021
The duration of time that for which the money stayed in the account is t years. So
Time = t
The formula for compound interest is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years. Therefore,
a) the equation to represent the amount of money in the account as a function of time in years would be
A = 600 (1+0.021/1)^1×t
A = 600 (1.021)^t
b) the amount of time it takes for the account balance to reach $800 would be
800 = 600 (1.021)^t
Dividing both sides of the equation by 600, it becomes
1.33 = (1.021)^t
t = 14
Answer:
S=a^2
Step-by-step explanation:
Note all sides of a square are equal, and the formula for finding the area is length x width of which the length=a and the with =a. So S=a^2.
<span>B. 285/302. This is the correct answer because it is the only choice which is roughly the same ratio as 47.5/50.5 which is the ratio needed to determine how long it would take to go 47 1/2 miles in a car that averages 50 1/2 miles per hour. The mathematical equation which represents the problem is: 50.5/1 = 47.5/A (A = hours) which is the same as 50.5 A = 47.5 which means A = 47.5/50.5 which means A = .94 hours. 285/302 also equals .94.</span>
Answer:
Midpoint coordinates are
Step-by-step explanation:
The Coordinates of R = (-8,3)
The Coordinates of S = (9, -7)
Let M be the mid point of M and its coordinates by (x,y)
Now, by mid point formula,
⇒
So, the midpoint coordinates are