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
precedence is:
1 Parentheses (simplify inside 'em)
2 Exponents
3 Multiplication and Division (from left to right)
4 Addition and Subtraction (from left to right)
(7+41) = 48
48 ÷ 2 = 24
24 -15 = 9
Answer: 94 cm^3.
Step-by-step explanation: You use the formula 2(ab+bc+ca). You plug in 3, 4, and 5 to get 94.
16b and 3b are the answers
Answer: 433
Step-by-step explanation:
The given sequence : 19,42,65,88,...
We can see that the terms ha common difference as :-

Thus, its an Arithmetic progression with common difference (d)=23
The formula to find the nth term is :-

Now, the 19th term of the given sequence :-

Hence, the 19th term of 19,42,65,88,... is 433.