Your answer is 80. A triangle’s angles add up to 180 degrees. Therefore, you need to subtract 30 and 70 from 180 to find your answer: 180-(30+70)=80 or 180-70-30=80
Answer: it will take 13.3 years
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 6000
A = 10000
r = 4% = 4/100 = 0.04
n = 12 because it was compounded 12 times in a year.
Therefore,.
10000 = 6000(1 + 0.04/12)^12 × t
10000/6000(1 + 0.0033)^12t
1.67 = 1.0033^12t
Taking log to base 10 of both sides, it becomes
Log 1.67 = 12tLog 1.0033
0.223 = 12t × 0.0014
0.223 = 0.0168t
t = 0.223/0.0168
t = 13.3 years
Answer:
Step-by-step explanation:
Given that
(3x) is raised to power 5
(3x)^5
Then,
Using indices
(AB)ⁿ = Aⁿ•Bⁿ
Then,
(3x)^5= 3^5•x^5
Then, 3^5 means=3×3×3×3×3=243
So,
(3x)^5= 243x^5
Answer:
The answer is below
Step-by-step explanation:
The standard deviation formula is as follows:
where sum means "sum of", x is a value of a data set, m is the mean of the data set, and N is the number of data.
The standard deviation formula may seem confusing, but it will make sense after we break it down. In subsequent sections we will explain an interactive example, step by step. Here's a quick preview of the steps we're about to follow:
Step 1: Calculate the mean with the data from the graph.
Step 2: Calculate the square of the subtraction between the mean and each data (that is, each x).
Step 3: add the values that resulted from step 2.
Step 4: divide by the number of data.
Step 5: take out the square root.
And in this way you can obtain the standard deviation
