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3 years ago

Which equation would best represent this problem?

Mathematics

1 answer:

kolbaska11 [484]3 years ago

4 0

Letter (a) is the equation that best fits the problem

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A certain city's population is 120,000 and decreases 1.4% per year for 15 years.

mart [117]

Answer:

Decay Problem.

Decay rate, r = 0.014
Initial Amount =120,000

$P(t)=120000(0.986)^t$
P(10)=104,220

Step-by-step explanation:

The exponential function for growth/decay is given as:

$P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time$

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

Since the population decreases, it is a Decay Problem.

Decay rate, r=1.4% =0.014
Initial Amount =120,000

Therefore, the function is:

$P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t$

When t=10 years

$P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)$

8 0

3 years ago

10. Make q the subject of the formula 5(q + p) = 4 + 8p

vichka [17]

The formula subject to q is $\frac{4+3p}{5}$

Explanation:

The given formula is $5(q+p)=4+8 p$

We need to determine the formula subject to q.

<u>The formula subject to q:</u>

The formula subject to q can be determined by solving the formula for q.

Let us solve the formula.

Thus, we have;

$5q+5p=4+8p$

Subtracting both sides by 5p, we have;

$5q=4+3p$

Dividing both sides by 5, we get;

$q=\frac{4+3p}{5}$

Thus, the formula subject to q is $\frac{4+3p}{5}$

5 0

3 years ago

1+1 equals 2 plus 3 get brainlist if u answer first

dusya [7]

Cool thanks bro I appreciate it

7 0

3 years ago

Read 2 more answers

Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can che

mihalych1998 [28]

Answer:

The expression –3 + 2x is equivalent to 2x – 3. I know it is equivalent because for every value of x that is substituted in, the two expressions simplify to the same value. I took the expression and used the commutative property to not change the value.

8 0

3 years ago

Read 2 more answers

A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula? –12, –18

Softa [21]

Answer:

The sequence -12 , -18 , -27 , ............ is generated using the formula ⇒ 1st sequence

Step-by-step explanation:

The recursive formula of the sequence is f(n + 1) = 1.5 f(n)

That means there is a constant ratio 1.5 between each two consecutive terms

In sequence -12 , -18 , -27 , ............

The first term is -12

The formula is f(n + 1) = 1.5 f(n)

Use the first term where n = 1 to find the 2nd term

∵ f(1) = -12

- Substitute n by 1 in the given formula

∵ f(1 + 1) = 1.5 f(1)

∴ f(2) = 1.5(-12)

∴ f(2) = -18

Use the second term where n = 2 to find the 3rd term

∵ f(2) = -18

- Substitute n by 2 in the given formula

∵ f(2 + 1) = 1.5 f(2)

∴ f(3) = 1.5(-18)

∴ f(3) = -27

∴ The sequence -12 , -18 , -27 , ............ is generated using the formula

8 0

3 years ago