Answer: 80 feet
Step-by-step explanation:
We can write these as fractions and do cross multiplication with the numerator being the height of the object while the denominator being the length of the shadow:
5 * 128 = 8x
640 = 8x
80 = x
Thus, the height of the lighthouse is 80 feet tall.
I think its 1000 numbers because there from 1 to 999 there are 999 numbers, and then you add zero because it is also a whole number.
The balance after 8 years is $22,942.67
<h3>
What is the balance after 8 years?</h3>
We know that the savings account earns 15% annually, and the initial deposit is $7500, then the balance as a function of time in years is:
B = $7500*(1 + 15%/100%)^t
B = $7500*(1.15)^t
The balance after 8 years is what we get when we evaluate the above function in t = 8, so we get:
B = $7500*(1.15)^8 = $22,942.67
So the correct option is the last one.
If you want to learn more about exponentials:
brainly.com/question/2456547
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Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
The slope is the change in Y over the change in X
Slope = (-5 - -10) / (-2 - -9) = (-5+10) / (-2+9)
Slope = 5 / 7
