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Answer:</h3>
- C. (9x -1)(x +4) = 9x² +35x -4
- B. 480
- A. P(t) = 4(1.019)^t
Step-by-step explanation:
1. See the attachment for the filled-in diagram. Adding the contents of the figure gives the sum at the bottom, matching selection C.
2. If we let "d" represent the length of the second volyage, then the total length of the two voyages is ...
... (d+43) + d = 1003
... 2d = 960 . . . . . . . subtract 43
... d = 480 . . . . . . . . divide by 2
The second voyage lasted 480 days.
3. 1.9% - 1.9/100 = 0.019. Adding this fraction to the original means the original is multiplied by 1 +0.019 = 1.019. Doing this multiplication each year for t years means the multiplier is (1.019)^t.
Since the starting value (in 1975) is 4 (billion), the population t years after that is ...
... P(t) = 4(1.019)^t
Answer:
0.0214
Step-by-step explanation:
We can get these answer by finding the z-scores at first
Mathematically;
z-score = x-mean/sd
For 900;
z-score = 900-750/75 = 150/75 = 2
For 975
z-score = (975-750)/75 = 3
So the probability we want to calculate is;
P(2<x<3)
This can be calculated using the standard normal distribution table
From the standard score table;
P(2<x<3) = 0.0214
Use the formula for simple interest:
i = p*r*t
Then i = ($828.75)(0.065)(1.5)
= $80.80
6.5% must be converted to a decimal fraction: 0.065, and 18 months to years, specifically 1.5 years.
3(y-7)
use distributive property
The answer is "The empty square has a side length of 10 and an area of 100 square units"