Answer:
7
Step-by-step explanation:
7x + 68 = 2x + 103
Subtract 2x from each side
5x + 68 = 103
Subtract 68 from each side
5x = 35
divide 5 from 35 and you get X = 7
Given:
Annual interest rate = r%
Growth factor : x = 1 + r
The below function gives the amount in the account after 4 years when the growth factor is x .

To find:
The total amount in the account if the interest rate for the account is 3% each year and initial amount.
Solution:
Rate of interest = 3% = 0.03
Growth factor : x = 1 + 0.03 = 1.03
We have,

Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.





Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.
For initial amount the rate of interest is 0.
Growth factor : x = 1 + 0 = 1
Substitute x=0 in the given function to find the initial amount.



Therefore, 2250 was put into the account at the beginning.
The inequality which represents the missing dimension x is x≥1.6 or x≥8 / 5.
Given that the area is greater than or equal to 8 square feet and image is attached below.
We want to find the missing inequality x in the form of inequality.
The figure is assumed to be a right triangle with Root = x and perpendicular = 10ft.
As we know the area of a triangle is half the product of the base and the height.
First of all, we will find the area of the triangle by substituting the given values we get
Area=(1/2)×Base×height
Area=(1/2)×x×10
Area=5x ......(1)
Assume that this area is greater than or equal to 8 square feet.
That means Area≥8ft² ......(2)
Now we will balance equation (1) and equation (2), we get
5x≥8ft²
Furthermore, they we will divide both sides by 5 we get
(5x)/5≥8/5
x≥8/5
x≥1.6
Therefore, the inequality represents the missing size x when the area is larger or equal to 8 square feet is x ≥1.6ft².
Learn more about the dimension from here brainly.com/question/13271352
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Answer:
102 students
Step-by-step explanation:
Note that 65% and 71% are both 1 standard deviation from the mean (71%). According to the empirical rule, 68% of scores lie within 1 std. dev. of the mean.
68% of 150 students would be 0.68(150 students) = 102 students