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2 years ago

Help with number 15 please ?!

Mathematics

2 answers:

VMariaS [17]2 years ago

7 0

Answer:

18.8

Step-by-step explanation:

Alborosie2 years ago

3 0

Answer:

Step-by-step explanation:

15)We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^t

Where

y represents the population of students after t years.

t represents the number of years.

b represents the initial population of students.

r represents growth rate.

From the information given,

b = 9

r = 15% = 15/100 = 0.15

Therefore, the exponential growth function is

y = 9(1 + 0.15)^t

y = 9(1.15)^t

In 2008, t = 2008 - 2001 = 7 years

y = 9(1.15)^7

y = 24 students

16) the formula for exponential decay is expressed as

y = b(1 - r)^t

b = 24500

r = 4% = 4/100 = 0.04

Therefore, the exponential decay function is

y = 24500(1 - 0.04)^t

y = 24500(0.96)^t

In 2020, t = 2020 - 1970 = 50 years

y = 24500(0.96)^50

y = 3182 people

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There are given the quadratic equation:

$x^2+16x+59=0$

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From the given equation:

$\begin{gathered} x^2+16x+59=0 \\ x^2+16x+59-59=0-59 \\ x^2+16x=-59 \end{gathered}$

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Add 64 on both sides of the above equation.

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$\begin{gathered} x^2+16x=-59 \\ x^2+16x+64=-59+64 \\ x^2+16x+64=5 \\ (x+8)^2=5 \end{gathered}$

Hence, an option first is correct:

$(x+8)^2=5$

Now,

From the above square:

$\begin{gathered} (x+8)^2=5 \\ x+8=\pm\sqrt[]{5} \end{gathered}$

Then,

Subtract 8 from both sides of the equation;;

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$\begin{gathered} x+8=\pm\sqrt[]{5} \\ x+8-8=\pm\sqrt[]{5}-8 \\ x=\pm\sqrt[]{5}-8 \\ x=\sqrt[]{5}-8,\pm\sqrt[]{5}-8 \\ x=-5.7639,-10.236067 \end{gathered}$

Final answer:

Hence, the value of x is shown below:

$x=(-5.76,-10.24)$

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