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Anni [7]
3 years ago
15

Cos 55° 0.9735 True or false

Mathematics
1 answer:
OLga [1]3 years ago
4 0
Cos 55°
0.9735
True or false
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Christine swam 6.75 miles
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Devise the exponential growth function that fits the given​ data, then answer the accompanying question. Be sure to identify the
NemiM [27]

Answer:

The cost in 2015 will be $283.45.

What is the reference point (t=0)?

d. The year 2005.

Step-by-step explanation:

The exponential growth model for the cost is the following:

C(t) = C_{0}e^{rt}

In which C(t) is the cost after t years, C_{0} is the initial cost and r is the decimal inflation rate

In this problem, we have that:

C_{0} = 190, r = 0.04

What will it cost in 2015 assuming the rate of inflation remains​ constant?

2015 is 10 years after 2005, so this is C(10).

C(t) = C_{0}e^{rt}

C(10) = 190*e^{0.04*10} = 283.45

The cost in 2015 will be $283.45.

The reference point is the year in which t = 0, so the year 2005.

7 0
3 years ago
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Solve the following system of equations. Show all work and solutions.
Hitman42 [59]
  • y=2x²+6x+1
  • y=-4x²+1

Make the equations equal and solve for x

  • 2x²+6x+1=-4x²+1
  • 6x²+6x=0
  • 6x(x+1)=0
  • 6x=0 or x+1=0
  • x=0 or x=-1

For x=0

  • y=-4(0)+1=1

For x=-1

  • y=-4(1)+1=-3

The solutions are

  • (0,1) and (-1,-3)

Graph attached

4 0
2 years ago
Suppose S and T are mutually exclusive events. Find P(S or T) if P(S) = 29% and P(T) = 49%.
Verdich [7]

Mutually exclusive means that the intersection of the events is empty: P(S and T) = 0.


P(S or T) = P(S) + P(T) = 29% + 49% = 78%


If events S, T are not mutually exclusive, then P(S or T) = P(S) + P(T) - P(S and T)

5 0
3 years ago
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