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SIZIF [17.4K]
3 years ago
8

Write an exponential function to model each situation. Find each amount after the specified time.

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0

Answer:

14. X = 1236000(1.013^t)

1,406,413.169 at t = 10

15. X = 752000 × (0.86^t)

49,795.48457 at t = 18

16. X = 18000 × 0.75^t

5,695.3125 at t = 4

Step-by-step explanation:

14.

X = 1236000 × (1 + 1.3%)^t

X = 1236000(1.013^t)

At t = 10,

X = 1236000 × 1.013¹⁰

= 1406413.169

15. 752000 × (1 - 1.4%)^t

X = 752000 × (0.86^t)

At t = 18

X = 752000 + 0.86¹⁸

= 49795.48457

16.

X = 18000 × (1 - 25%)^t

X = 18000 × 0.75^t

At t = 4

X = 18000 × 0.75⁴

X = 5695.3125

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At a local preschool there is a ratio of 3 boys to every 4 girls if there are 245 total preschoolers enrolled how many boys
JulsSmile [24]

Answer:

The total number of boys  = 105

Step-by-step explanation:

The ratio of boys to girls = 3: 4

⇒ For every 3 boys, there are 4 girls.

Now, total number of students = 245

Let the common ratio of boys to girls is k.

So, 3k + 4k = 245

or , 7k = 245

⇒ k =  245/7  = 35

⇒ k = 35

Hence, the number of boys = 3k = 3 x 35 = 105

and number of girls = 4k = 4 x 35 = 140

8 0
3 years ago
Using no other digits except 2 and 5 write down, if possible, a three-digit multiple of 5
Nana76 [90]

Answer:

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Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
50 PTS The table represents an exponential function.
GenaCL600 [577]

Answer:

B: 3/4

Step-by-step explanation:

Since we know this is an exponential function

y= ab^x

where a is the initial value and b is the growth rate or what we multiply by

For the first point x=1 and y = 3/2

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Take the second equation over the first

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-------------------

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That would also be know as the rate of change

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alina1380 [7]

Answer:

We are have the function f(x).

Part 1: It is given that the function f(x) is transformed to f(x)+2.

This gives us that the function is translated 2 units upwards.

As, the y-intercept of f(x) is f(0). So, the y-intercept of f(x)+2 is f(0)+2, which is also translated 2 units up.

Translation does not change the behavior of the function.

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Moreover, f(x)+2 will be even or odd if f(x) is even or odd respectively.

Part 2: It is given that the function f(x) is transformed to \frac{-1}{2}f(x)

This gives us that the function is shrinked vertically by a factor of \frac{1}{2} followed by a reflection across x-axis.

Also, the y-intercept of is \frac{-1}{2}f(0).

The graph of f(x) after changing to \frac{-1}{2}f(x) will flip over the x-axis.

So, the function \frac{-1}{2}f(x) will increase or decrease when f(x) decrease or increase respectively.

Moreover, \frac{-1}{2}f(x) will be even if f(x) is even or odd respectively.

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