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Andrews [41]
3 years ago
12

A town has a population of 18000 and grows at 2% every year. To the nearest tenth of a year, how long will it be until the popul

ation will reach 26700?
^^
Mathematics
1 answer:
8090 [49]3 years ago
8 0

Answer:

19.9

Step-by-step explanation:

we can write the following equation

18000(1.02)^n

where n is the number of years

so we have

26700=18000(1.02)^n

solve for n

1.483=1.02^n

use logs to solve for n

n=19.9

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I NEED HELP PEOPLE LAST TIME
Hoochie [10]

29.

f(x) = -x^2-7x-6

As x \to \pm \infty, y \to - \infty.

This can be easily verified by looking at the graph (graph of a quadratic equation).

30.

The growth of a population is not linear, it's exponential.

31.

Exponential growth > polynomial, so y = 3^x.

35.

V(t) = 30\cdot (25)^{\frac{t}{20}}

The question is asking V(t) for t = 40.

V(40) = 30\cdot (25)^{\frac{40}{20}} \\~\\V(40) = 30\cdot 25^2 \\~\\V(40) = 30\cdot 625 \\~\\V(40) = 18750

36.

The point of symmetry of a quadratic equation y = ax^2+bx+c is at its vertice:

V_x = \dfrac{-b}{2a}

V_x = \dfrac{6}{2}

V_x = 3

The line is x= 3.

3 0
3 years ago
The math teachers decided to throw a party. One teacher bought 7 cookies and 2 ice cream bars for $10.95. Another teacher bought
tatyana61 [14]

Answer:

0.95, 2.15

Step-by-step explanation:

cookie-x

ice bar-y

7x+2y=10.95 (*3)

4x+3y=10.25 (*2)

21x+6y=32.85

8x+6y=20.5

21x-8x=32.85-20.5=12.35

13x=12.35

x=0.95

2y=10.95-7*0.95=4.3

y=2.15

8 0
3 years ago
Seven and fifty-one thousands in numbers
mihalych1998 [28]
51,007.

If you want it is thousandths,

7.051.

Bye!





8 0
4 years ago
Read 2 more answers
What is the answer for 4x+2=5
Delicious77 [7]
4x+2=5 4x=3 x=3/4 X=0.75
6 0
3 years ago
Read 2 more answers
American Vending (AV) supplies vended food to a large university. Because students often kick the machines out of anger and frus
aev [14]

Answer:

case 2 with two workers is the optimal decision.

Step-by-step explanation:

Case 1—One worker:A= 3/hour Poisson, ¡x =5/hour exponential The average number of machines in the system isL = - 3. = 4 = lJr machines' ix-A 5 - 3 2 2Downtime cost is $25 X 1.5 = $37.50 per hour; repair cost is $4.00 per hour; and total cost per hour for 1worker is $37.50 + $4.00

= $41.50.Downtime (1.5 X $25) = $37.50 Labor (1 worker X $4) = 4.00

$41.50

Case 2—Two workers: K = 3, pl= 7L= r= = 0.75 machine1 p. -A 7 - 3Downtime (0.75 X $25) = S J 8.75Labor (2 workers X S4.00) = 8.00S26.75Case III—Three workers:A= 3, p= 8L= ——r = 5- ^= § = 0.60 machinepi -A 8 - 3 5Downtime (0.60 X $25) = $15.00 Labor (3 workers X $4) = 12.00 $27.00

Comparing the costs for one, two, three workers, we see that case 2 with two workers is the optimal decision.

3 0
3 years ago
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