Answer: $70400
Step-by-step explanation:
Attached is the question:
Based on the information given in the question:
Value of Stock X = 5000 × $4.30 = $21500
Value of Stock Y = 2000 × $3.20 = $6400
Value of Stock Z = 8000 × $4.90 = $39200
Total Stock Value = $67100.
Since there's a 4.9% increase in value of index, the value of the index at end of the day will be:
= $67100 × (100% + 4.9%)
= $67100 × 104.9%
= $67100 × 1.049 =
= $70388
= $70400 approximately
Multiply each term in the first set of parentheses by each term in the second set, then combine like terms.
7x x 3x^2 = 21x^3
7x x -4x = -28x^2
7x x 5 + 35x
-6 x 3x^2 = -18x ^2
-6 x -4x = 24x
-6 x 5 = -30
Combine like terms to get:
21x^3 - 46x^2 + 59x - 30
Hello!
The interior angles of every triangle add to equal 180 degrees. With that, you can add all angle expressions and set them to equal 180 to find x:
180 = 2x + 50 + x + 46 + 3x
180 = 6x + 96
84 = 6x
14 = x
Now, substitute 14 for x in each expression to find the value of each angle:
2x + 50 => 2(14) + 50 => 28 + 50 => 78
x + 46 => 14 + 46 => 60
3x => 3(14) => 42
Let's check our work:
180 ? 78 + 60 + 42
180 = 180 <--True
Angle A = 42 degrees
Angle B = 78 degrees
Angle C = 60 degrees
Hope this helps!
Answer:
Step-by-step explanation:
Let x be the random variable representing the mean weight of Adult Golden Retrievers. Assuming the weights are normally distributed(number of samples is greater than 30), we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 64
σ = 8
n = 35
the probability that the sample mean will be less than 65.5 pounds is expressed as
P(x < 65.5)
For x = 65.5,
z = (65.5 - 64)/(8/√35) = 1.11
Looking at the normal distribution table, the probability corresponding to the z score is 0.8665
Therefore, the probability that the sample mean will be less than 65.5 pounds is 0.8665
Answer:
D. The point at x = 0 is x-intercept itself.
Step-by-step explanation:
First, substitute x = 0 in f(x) = sin(x) and examine the point and values.
When x = 0, sin(0) = 0.
Hence, the point is (0,0) which is an origin point. It is both x-intercept and y-intercept at the same time.
The point at x = 0 is neither maximum nor minimum since the range of some function is defined in [-1,1] so the minimum value has to be -1 and the maximum value has to be 1.
Thus, A and B are not correct choices.
The C choice would make sense if the value of f(x) did not become 0 when substituting x = 0 in.
Therefore, the correct choice is D as it is an origin point at x = 0 meaning it is both x-intercept and y-intercept.