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Tom [10]
2 years ago
7

A slot machine has three slots; each will show a cherry, a lemon, a star, or a bar when spun. The player wins if all three slots

show the same three items. a. How many simple events are in the sample space
Mathematics
1 answer:
Verdich [7]2 years ago
7 0
Which subject is it?
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Eli invested $ 330 $330 in an account in the year 1999, and the value has been growing exponentially at a constant rate. The val
Cloud [144]

Answer:

The value of the account in the year 2009 will be $682.

Step-by-step explanation:

The acount's balance, in t years after 1999, can be modeled by the following equation.

A(t) = Pe^{rt}

In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.

$330 in an account in the year 1999

This means that P = 330

$590 in the year 2007

2007 is 8 years after 1999, so P(8) = 590.

We use this to find r.

A(t) = Pe^{rt}

590 = 330e^{8r}

e^{8r} = \frac{590}{330}

e^{8r} = 1.79

Applying ln to both sides:

\ln{e^{8r}} = \ln{1.79}

8r = \ln{1.79}

r = \frac{\ln{1.79}}{8}

r = 0.0726

Determine the value of the account, to the nearest dollar, in the year 2009.

2009 is 10 years after 1999, so this is A(10).

A(t) = 330e^{0.0726t}

A(10) = 330e^{0.0726*10} = 682

The value of the account in the year 2009 will be $682.

4 0
2 years ago
On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to
wolverine [178]
The function for conversions from Fahrenheit to Celsius is:

Celsius = (Fahrenheit - 32) x 5/9 

C(76.1) = (76.1 - 32) x 5/9
             = (44.1) x 5/9
             =  24.5

Therefore, 76.1 degrees Fahrenheit = 24.5 degrees Celsius. 
5 0
2 years ago
Read 2 more answers
You purchased an $85,000 home, and the property taxes were $1530. If they make improvements and the house is now valued at $130,
drek231 [11]

Answer:

43470

Step-by-step explanation:

purchased of home =$85000

improvement of home =1530=

85000

+1530

=86530

the valued of home =130000=

130000

-86530=

43470

7 0
2 years ago
Assume that a study of 500 randomly selected airplane routes showed that 482 arrived on time. Select the correct interpretation
Westkost [7]

Answer: C. Significant at 0.036

Step-by-step explanation:

Given:

Number of selected samples Ns= 500

Number of airplane that arrive on time Na = 482.

Number of airplane that arrive late Nl = 500 - 482 = 18

The probability that an airplane arrive late:

P(L) = Nl/Ns

P(L) = 18/500

P(L) = 0.036

Interpret an event as significant if its probability is less than or equal to 0.05.

Since P(L) < 0.05

P(L) = Significant at 0.036

4 0
2 years ago
If y ∝ 1∕x and y = –2 when x = 14, find the equation that connects x and y.
crimeas [40]

C. y= -28/x

y=k/x

cross multiply

k= y×x

k = -2×14

k = -28

y = -28/x [ equation connecting x and y]

8 0
2 years ago
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