Answer: Olga's solution is incorrect
x + 7x is the same as 1x + 7x
7x2 is the same as 7x. x
x + 7 x simplifies to 8x
Step-by-step explanation:
A = p(1 + r)^t
A = 6000(1 + .07)^8
A = 6000(1.07)^8
A = 10,309.12
The amount in the account after 8 years is 10,309.12, subtract the amount of principle, and you will get the amount of interest earned.
10,309.12 - 6,000 = $4,309.12
Interest $ 4,309.12
The height scale is 75
Step-by-step explanation:
The height scale is the ratio between the height of the final image and the height of the original image.
In this problem, we have:
(height of the original image)
Converted into meters,

(height of the enlarged image)
Therefore, the height scale is given by the following ratio:

So, the height scale is 75.
Learn more about scales:
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Answer:
2×2×3×7
Step-by-step explanation:
84 is even, so divisible by 2. 84 = 2×42
42 is even, so divisible by 2. 82 = 2×2×21
21 has a sum of digits of 3, so is divisible by 3. 84 = 2×2×3×7
Answer:
μ = 1 The firm expects that one oil exploration will be successful.
v(x)= 0.9
Step-by-step explanation:
The first step is to define the random variable x as:
x: number of oil explorations being succesful
Then x can be take this values:
x = 0 , x =1 ... x =10
x is a binomially distributed random variable with parameters.
p = 0.1 and n=10
And the mean or the expected value of x is:
μ = E(x) = np
Then μ = 10*0.1 = 1
And the variance of x is:
V(x) = np(1-p)
V(x) = 10(0.1)(1-0.1)= 0.9