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3 years ago

See the picture Please help

Mathematics

1 answer:

Vikki [24]3 years ago

6 0

Step-by-step explanation:

f(-5) goes through y=-9

So, f(-5) = -9

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solve the problem related to population growth.A city had a population of 23,900 in 2007 and a population of 25,100 in 2012.(a)

Finger [1]

Solution

To find the exponential growth function, we apply the exponential growth formula which is

$N(t)=a(1+k)^t$

Where

$\begin{gathered} a\text{ is the }initial\text{ population} \\ k\text{ is the growth rate} \\ t\text{ is the number of time intervals} \end{gathered}$

Given that

$\begin{gathered} a=23,900 \\ N(5)=25,100 \\ t=2012-2007=5 \end{gathered}$

Substitute the variables into the exponential growth formula

$\begin{gathered} 25100=23900(1+k)^5 \\ \text{Divide both sides by 23,900} \\ \frac{25100}{23900}=\frac{23900(1+k)^5}{23900} \\ 1.05021=(1+k)^5^{} \\ \sqrt[5]{1.05021}=1+k \\ 1.00984=1+k \\ \text{Collect like terms} \\ k=1.00984-1 \\ k=0.00984 \end{gathered}$

Hence, the exponential growth function is

$\begin{gathered} N(t)=23900(1+0.00984)^t_{} \\ N(t)=23900(1.00984)^t \end{gathered}$

Hence, the exponential growth function is

$N(t)=23900(1.00984)^t$

For the population of the city in 2022,

$\begin{gathered} t=2022-2007=15 \\ t=15 \end{gathered}$

Substitute for t into the exponential growth function

$\begin{gathered} N(t)=23900(1.00984)^t \\ N(15)=23900(1.00984)^{15} \\ N(15)=27700\text{ (nearest hundred)} \end{gathered}$

Hence, the population is 2022 is 27700 (nearest hundred)

8 0

1 year ago

HELPPPPP ME PLEASEEEE

Ne4ueva [31]

Answer:

$y = \sqrt{85}$

Step-by-step explanation:

(11)²=(6)²+ (y)²

121=36 +(y)²

y² =121 –36

y²=85

$y = \sqrt{85}$

4 0

3 years ago

Fing an equation of the line that passes through (5, 7) and is perpendicular to y=5x-9

Lunna [17]

Since it’s perpendicular tu have to flip the slope and change the sing which in this case would be -1/5
Then you put the equation together:
y-7=-1/5(x-5)
Distribute:
y-7=-1/5x+1
Add the 7 to both sides of the equation:
y-7=-1/5x+1
+7 +7
And the final answer is: y=-1/5+8

7 0

4 years ago

Which point has the coordinates(-0.5,- 2.5 )?

romanna [79]

Answers: There is no image for me to see the points A,B,C and D. Therefore, I can't answer numbers 1 and 2.

ANSWER TO: Which statement is true about the ordered pair (1.5,- 0.5) ?

The correct answer to this one is <u>B</u>.

ANSWER TO: The following points are plotted on a coordinate plane: (-1, 2 ), ( - 1, 7), and (4, 2). If the points are connected by straight lines, which shape will they form?

The correct answer to this answer is <u>B</u>, please see the attached file below.

ANSWER TO: Which of the following coordinates can be added to the coordinate plane to create a trapezoid?

ERROR: This question is way too confusing for one person. Please reword it, have a nice day.

7 0

3 years ago

Read 2 more answers

Pls help due tonight. BRIANLIEST IF CORRECT. Prob easy tho.

Alla [95]

it is 2 and 4

134578+3789+468

3 0

3 years ago

Read 2 more answers