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Over [174]
3 years ago
13

Which is the perimeter of the preceding figure

Mathematics
1 answer:
OlgaM077 [116]3 years ago
7 0
THE PERIMETER OF THE PRECEDING FIGURE 17.8 METERS

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HELP i’m having trouble with my homework assignments
Aleksandr-060686 [28]

Answer:

Collin: about $401 thousand

Cameron: about $689 thousand

Step-by-step explanation:

A situation in which doubling time is constant is a situation that can be modeled by an exponential function. Here, you're given an exponential function, though you're not told what the variables mean. That function is ...

P(t)=P_0(2^{t/d})

In this context, P0 is the initial salary, t is years, and d is the doubling time in years. The function gives P(t), the salary after t years. In this problem, the value of t we're concerned with is the difference between age 22 and age 65, that is, 43 years.

In Collin's case, we have ...

P0 = 55,000, t = 43, d = 15

so his salary at retirement is ...

P(43) = $55,000(2^(43/15)) ≈ $401,157.89

In Cameron's case, we have ...

P0 = 35,000, t = 43, d = 10

so his salary at retirement is ...

P(43) = $35,000(2^(43/10)) ≈ $689,440.87

___

Sometimes we like to see these equations in a form with "e" as the base of the exponential. That form is ...

P(t)=P_{0}e^{kt}

If we compare this equation to the one above, we find the growth factors to be ...

2^(t/d) = e^(kt)

Factoring out the exponent of t, we find ...

(2^(1/d))^t = (e^k)^t

That is, ...

2^(1/d) = e^k . . . . . match the bases of the exponential terms

(1/d)ln(2) = k . . . . . take the natural log of both sides

So, in Collin's case, the equation for his salary growth is

k = ln(2)/15 ≈ 0.046210

P(t) = 55,000e^(0.046210t)

and in Cameron's case, ...

k = ln(2)/10 ≈ 0.069315

P(t) = 35,000e^(0.069315t)

5 0
3 years ago
( 8n - 3n^4 + 10n ^2 ) - ( 3n^2 + 11n ^4 - 7)
DanielleElmas [232]

Answer:

-14n^4 + 7n^2 + 8n + 7

Step-by-step explanation:

( 8n - 3n^4 + 10n^2 ) - ( 3n^2 + 11n^4 - 7)

8n - 3n^4 + 10n^2 - 3n^2 - 11n^4 + 7

- 14n^4 + 7n^2 + 8n + 7

3 0
2 years ago
Read 2 more answers
What is the answer to this question<br> 2 1/2-d=1 3/4
goldenfox [79]

Answer:

d = 3/4

Step-by-step explanation:

2.5 - d = 1.75

-2.5        -2.5

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

-d = -0.75

d = 0.75

d = 3/4

4 0
2 years ago
an architects compensation package includes the total cost of a 250 per month health insurance plan,the total cost of per month
Stolb23 [73]
The answer is 58,420. If it is asking per year, and it is given in months all you need to do is multiply by 12 . add 250*12 and 35*12 and 55,000 and you get 58,420.
3 0
3 years ago
Which ones are rational
Alenkasestr [34]
A rational number is a number that can be made by dividing two integers. An integer is a number that doesn't have a fraction part.

1. 2.4 - rational
2. 74 - rational
3. 17.3333333… - rational
4. π -irrational
5. there is no number
6. –18 - rational
7. there is no number
8. 87.125 - rational
9. –30 - rational
10. –8.3 -rational
11. 58.25 -rational
12. 121 -rational
13. 4.5 -rational
14. 3 7/10 -rational

As you can see, most numbers are rational. But, when you come across pi or when you have a decimal that goes on forever without repeating (like some square roots), it tends to be irrational.
3 0
3 years ago
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