Answer:
It will take 4.84 years
Step-by-step explanation:
The initial amount that Matt invested was $1669. It means that principal is
P = 1669
It was compounded 12 times per year. So
n = 12
The rate at which the principal was compounded is 2%. So
r = 2/100 = 0.02
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years.
A = 1,844.38
Therefore
1,844.38 = 1669(1+0.02/12)^(12×t)
1,844.38/1669 = (1.0017)^(12t)
1.1051 = (1.0017)^(12t)
Taking log to base 10 of both sides, it becomes
Log 1.1051 = log 1.0017^(12t)
Log 1.1051 = 12tlog 1.0017
0.043 = 0.00074 × 12t
0.043 = 0.00888t
t = 0.043/0.00888
t = 4.84 years
Answer: 3/2 I’m on something similar rn
Step-by-step explanation:
Answer:
512 cm^3
Step-by-step explanation:
Divide 384 by 6 to find the surface area of one face of the cube. 384/6 = 64.
Find the square root of 64 to find both the length and width of the square. They are equal in a square.
= 8 = x
Volume = xyz or x^3
8^3 = 512
The answer is 22/5
You multiply 5 and 4, which you get twenty, then you add 2 and you get 22. Divide that by 5, and you get 22/5.
To double check, divide 22 by five and you should get 4.4, or 4 2/5 as a fraction