Answer:
8/49
Step-by-step explanation:
4/7 ÷7/2
Copy dot flip
4/7 * 2/7
Multiply the numerators
4*2 = 8
Multiply the denominators
7*7= 49
numerator over denominator
8/49
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Answer:
10
Step-by-step explanation:
Given the expression:
(5 * x³) / x² ; for x = 2
Simplifying (5 * x³) / x²
5 * x^(3-2)
5 * x^1
= 5x
For x = 2
5x = 5*2 = 10
You multiple it by 20....
1:20
2:40
3:60
4:80
5:100
So it’s 80 inches by 100 inches (80x100) =800 square feet
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