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goblinko [34]
3 years ago
9

Please help

Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0

Answer:

$74.41

Step-by-step explanation:

x = Amount of money Sylvia had in her account

Amount of money spent at the Grocery Store= $25.89

Remaining Amount of money after Grocery = $48.52

Hence, By adding the two amount above we get the amount Sylvia had in her account before grocery;

x = $25.89 + $48.52

x = $74.41

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A population of rabbits in a lab, p(x), can be modeled by the function p(x) = 20(1.014)x , where x represents the number of days
Nitella [24]

Answer:

20 = initial population of the rabbits

1.014 = growth rate of the rabbits

the average rate of change from day 50 to day 100 is 0.8

Step-by-step explanation:

A population of rabbits in a lab, p(x), can be modeled by the function

p(x) = 20(1.014)^x

This model is exponential. Where 20 = initial population of the rabbits

1.014 = growth rate of the rabbits with 1.4% increase rate of the rabbits

To find the average rate of change from day 50 to day 100,

find the population p(50) and p(100). Subtract them and divide by 100 - 50 = 50. 

p(50) = 20(1.014)50 = 40.08... 

p(100) = 20(1.014)100 = 80.32... 

(80.32 - 40.08) / (100 - 50) = 40.24/50 = 0.8048. which is approximately 0.8 to the nearest tenth. 

The rate of change is 0.8. 

7 0
3 years ago
Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer
Andrews [41]

Answer:

f(x) = \frac{24}{25} * \frac{5}{6}^x

Step-by-step explanation:

Given

(x_1,y_1) = (2,\frac{2}{3})

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Required

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y = ab^x

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Divide (2) by (1)

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\frac{5}{6} = b

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\frac{2}{3} = a * \frac{25}{36}

a = \frac{2}{3} * \frac{36}{25}

a = \frac{2}{1} * \frac{12}{25}

a = \frac{24}{25}

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f(x) = \frac{24}{25} * \frac{5}{6}^x

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