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Bad White [126]
3 years ago
9

In 2010, a city's population was 1,405,233 and it was decreasing at a rate of 1.1%. At this rate when will the city's population

fall below 1,200,000?
a. 2024
b. 2027
c. 2036
d. 2049
Mathematics
1 answer:
frez [133]3 years ago
7 0
The equation
                                            P(t) = 1405233 * (1 - 0.011)^(t)
models the population at t years after 2010. Then, when P(t) = 1,200,000, we have
                                 1200000 = 1405233 * (0.989)^t
                                  (0.989)^t = 1200000/1405233
                                                t = log(1200000/1405233)/log(0.989)
                                                t = 14.27 years
This means 14.27 years after 2010. Therefore, the answer to this question is 2024.
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mary has g+24.50 in her bank account. bobby has 7g- 52.34 in his bank account. How much do they have in all?
Gnoma [55]
A=850×(1+0.08)^(8)
A=1,573.29

Interest 1573.29-850=723.29
6 0
3 years ago
A textbook store sold a combined total of 477 sociology and math textbooks in a week. The number of sociology textbois sold was
denpristay [2]

Answer:

The correct answer is 218 math textbooks and 259 sociology textbooks.

Step-by-step explanation:

To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:

s + m = 477

m + 41 = s

There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.

s + m = 477

(m + 41) + m = 477

Combining like terms on the left side of the equation yields:

2m + 41 = 477

Subtracting 41 from both sides of the equation gives us:

2m = 436

Finally, dividing both sides of the equation by 2 gives us:

m = 218

To solve for the number of sociology textbooks, we can substitute into either of our original equations.

m + 41 = s

(218) + 41 = s

s = 259

Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.

Hope this helps!

6 0
3 years ago
What are the values of a, b and c in the quadratic equation -2x^2+4x-3=0?
AlladinOne [14]

Answer:

a=-2\\b=4\\c=-3

Step-by-step explanation:

In a quadratic equation in the Standard form

ax^2+bx+c=0

You need to remember that "a", "b" and "c" are the numerical coefficients (Where "a" is the leading coefficient and it cannot be zero: a\neq0).

You can observe that the given quadratic equation is written in the Standard form mentioned before. This is:

-2x^2+4x-3=0

Therefore, you can identify that the values of "a", "b" and "c" are the following:

a=-2\\b=4\\c=-3

4 0
3 years ago
Read 2 more answers
What is the area of the shaded sector?
gavmur [86]
The area of the shaded sector is one-fourth of the area of the whole circle so:
area = r^2 \pi  \\ area = 6^2 \pi  \\ area = 36 \pi
area of shaded region=  \frac{36 \pi }{4} \\ area = 9
The area of the shaded region is 9pi units^2
6 0
3 years ago
Read 2 more answers
What is the slope of the line?
Lelu [443]

Answer:

The slope is 2. (m=2).

Step-by-step explanation:

y+5=2x+2

y+5-5=2x+2-5

y=2x-3

Equation is y=2x-3.

y=y-intercept

x=slope

Hence, the slope is 2.

Hope this helps and stay safe!

8 0
3 years ago
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