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Tems11 [23]
3 years ago
7

The population of a small town in Maryland has grown at a constant rate over the last ten years. In 1998, the population was 305

people. If the population increased by 15% each year, what is the population in 2008? A. 350 people B. 457 people C. 1,233 people D. 3,507 people
Mathematics
1 answer:
Andreyy893 years ago
4 0
A=P(1+r)^t

A=305(1+.15)^10

A= 1233
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The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half of its initial m
Dovator [93]
1st half life: 195/2 = 97.5 g
2nd half life: 97.5/2 = 48.75 g
3rd half life: 48.7/2 = 24.375 g
4th half life: 24.375/2 = 12.1875 g
5th half life: 12.1875/2 = 6.09375 g

or you can do
195(2)^(-5) = 6.09375
** rounded to nearest gram = 6 g

4 0
3 years ago
Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function p=s^2+9s-
Elza [17]
S^2 + 9s - 142 > 2000
s^2 + 9s - 142 - 2000 > 0
s^2 + 9s - 2142 > 0
(s-42)(s+51) > 0

s - 42 > 0
s > 42

s + 51 > 0
s > -51.......will not work

answer is : s > 42
8 0
3 years ago
Read 2 more answers
It takes Cindy 3/4 of an hour to complete a puzzle. how many puzzles can Cindy finish in 3 hours ? answer this for 27 points
kipiarov [429]
The 3 hour Cindy will finish 4 different puzzles

hope this helps
6 0
3 years ago
Read 2 more answers
How do you this question? Please explain.
Nuetrik [128]

Answer:

(C) 2√15

Step-by-step explanation:

Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.

... CB/CA = CT/CB

... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values

... CB = √60 = 2√15 . . . . . . . take the square root; simplify

_____

<em>Comment on this solution</em>

The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...

... CB = √(AC·CT) . . . . as above

This is true for any right triangle — another fact of geometry to put in your list of geometry facts.

3 0
3 years ago
Helpppppppppppppppppppppppppppppp
Diano4ka-milaya [45]
In this case it is to find the roots of the polynomial.
 We have then:
 2x ^ 2-5x + 1 = 3
 Rewriting:
 2x ^ 2-5x-2 = 0
 Applying resolver we have
 x = (- b +/- root (b ^ 2 - 4ac)) / (2a)
 Substituting values:
 x = (- (- 5) +/- root ((- 5) ^ 2 - 4 (2) (- 2))) / (2 (2))
 x = (- (- 5) +/- root ((25 + 16)) / (2 (2))
 x = (5 +/- root (41))) / (4)
 x = ((5/4) +/- (root (41)) / 4)
 Answer:
 x = ((5/4) +/- (root (41)) / 4)
 (option 4)
8 0
3 years ago
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