Answer:
Let P(t) = population t years after 2010
= 45230e0.02t
Population in 2030 = P(20)
= 45230e0.4≈ 6747
Step-by-step explanation:
the right answer is A option
4. k less than 3.5, so a number k is being taken away from 3.5:
The answer is 3.5-k
5. the sum of g and h, reduced by 11, so you need a set of parentheses to write this one: (g+h)-11
6. 5 less than y, plus g, so do a combination of the strategies used in the previous two problems and you will get: (y-5)+g
7. 5 less than the sum of y and g, you are taking away 5 from the sum of two numbers, y and g, so: (y+g)-5
Hope this helps :-)
anaalyze the problem
first term: -1
common difference: +9 (8-(-1) is 9)
so, an=-1+9n-9
answer is an=9n-10, with n bigger or equal to one
sixth term,plug in 9(6)-10=54-10=44
tenth term, plug in 9(10)-10=90-10=80
The formula for a rectangle's perimeter is
P = 2l + 2w
We know the length is 2 ft greater than thrice the width, so 2l becomes:
3w + 2ft + 3w + 2ft
Substitute.
P = 3w + 2ft + 3w + 2ft + 2w
Add like terms.
P = 8w + 4ft
Substitute P.
84 ft = 8w + 4ft
Subtract 4 ft from both sides to eliminate. (Property of equality)
84 ft - 4ft = 8w + 4ft - 4ft
80 ft = 8w
Divide 8 on both sides to isolate w.
80 ft / 8 = 8w / 8
10 ft = w
We have the value of w, now look for the l which we know is 2 feet more than thrice the value of w.
l = 10 ft × 3 + 2 ft
l = 30 ft + 2 ft
l = 32 ft
Therefore, the length and the width of the rectangle is 10 ft (w) and 32 ft (l).
Check:
84 ft = (2) (10 ft) + (2) (32 ft)
84 ft = 20 ft + 64 ft
84 ft = 84 ft ✔
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