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Rashid [163]
3 years ago
14

A population of 100 frogs has a growth rate of 1.25% each month. At this growth rate,

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0

Answer: 7.2 months

Step-by-step explanation:

Hi, to answer this question we have to substitute f(x) =500 in the equation given:

f(x) = 100(1.25)^x

500= 100(1.25)^x

Solving for x (number of months)

500/100 = 1.25^x

5 = 1.25^x

log 5 =log 1.25^x

log 5 =x (log 1.25)

log 5 /log 1.25 =x

x = 7.2 months

Feel free to ask for more if needed or if you did not understand something.  

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De una carrera x km ya se han recorrido y km cuanto falta para terminar?
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Partari teneria roberta seneios para han recordiiooo sii
7 0
4 years ago
One sample has Aa Aa One sample has n 10 scores and a variance of s2 20, and a second sample has n 15 scores and a variance of s
siniylev [52]

Answer:

option (a) It will be closer to 30 than to 20

Step-by-step explanation:

Data provided in the question:

For sample 1:

n₁ = 10

variance, s₁² = 20

For sample 2:

n₂ = 15

variance, s₂² = 30

Now,

The pooled variance is calculated using the formula,

S^{2}_{p} = \frac{(n_{1}-1)\times s^{2}_{1} +(n_{2}-1)\times s^{2}_{2}}{n_{1}+n_{2}-2}

on substituting the given respective values, we get

S^{2}_{p} = \frac{(10-1)\times 20 +(15-1)\times 30}{10+15-2}

or

S^{2}_{p} = 26.0869

Hence,

the pooled variance will be closer to 30 than to 20

Therefore,

The correct answer is option (a) It will be closer to 30 than to 20

4 0
3 years ago
Identify the closest perfect squares less than and greater than the radicand below, respectively.
wariber [46]
It would be A because they’re both perfect squares
3 0
3 years ago
Proportional or non proportional?
Ludmilka [50]

Answer:

proportional

Step-by-step explanation:

all are multiplied by 3

7 0
3 years ago
Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the​ same? Yoga
sergiy2304 [10]

Answer:

14.02

Step-by-step explanation:

You'd have to write equations for the price per month for each club.

Let  x  equal the number of months of membership, and  y  equal the total cost.

Club A's is  y = 24x + 21.50 and Club B's is  y = 17.25 x + 41.00 Because we know that the prices,  y , would be equal, we can set the two equations equal to each other.

24x + 21.50 =17.25 x+ 41.00

subtract 21.50 both sides

. We can now solve for  x  by isolating the variable.

24x=17.25x+19.5

divide 17.25x

1.39x=19.5

divide 1.39 both sides

x=14.02

After five months, the total cost would be the same.

4 0
3 years ago
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