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sasho [114]
3 years ago
7

Josiah is playing a computer game that lets him customize a story There are 5 different eras and 2 location to choose from. How

many different stories can Josiah construct
Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

10

Step-by-step explanation:

GIVEN: Josiah is playing a computer game that lets him customize a story There are 5 different eras and 2 location to choose from.

TO FIND: How many different stories can Josiah construct.

SOLUTION:

Total different eras =5

Total different locations =2

He can choose one era and one location.

Total different stories that Josiah can construct =^5C_1\times^2C_1

                                                                               =10

Hence Josiah can construct 10 different stories.

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A person invests $4000 at 2% interest compounded annually for 4 years and then invests the balance (the $4000 plus the interest
faltersainse [42]
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4000\\
r=rate\to 2\%\to \frac{2}{100}\to &0.02\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &4
\end{cases}
\\\\\\
A=4000\left(1+\frac{0.02}{1}\right)^{1\cdot 4}\implies A=4000(1.02)^4\implies A\approx 4329.73

then she turns around and grabs those 4329.73 and put them in an account getting 8% APR I assume, so is annual compounding, for 7 years.

\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4329.73\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &7
\end{cases}
\\\\\\
A=4329.73\left(1+\frac{0.08}{1}\right)^{1\cdot 7}\implies A=4329.73(1.08)^7\\\\\\ A\approx 7420.396

add both amounts, and that's her investment for the 11 years.
7 0
3 years ago
A boat captain can see a lighthouse on the shore which is 103ft in front of him. If the lighthouse is 22ft tall, at what angle o
elena-14-01-66 [18.8K]

Answer:

  • 21°

Step-by-step explanation:

A boat captain, lighthouse and its base form a right triangle.

<u>We need to find the angle opposite to 22 ft side:</u>

  • tan x = 22/103
  • x = arctan (22/103)
  • x = 21°

<em>Note, option D should read 21° not 11°</em>

5 0
2 years ago
Fraction 6/22 simplest form
asambeis [7]

Answer:

1/4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the common ratio of the geometric sequence 11, -55, 275,...11,−55,275,...
Kaylis [27]

Answer:

r = -5

Step-by-step explanation:

common ratio (r) is found be dividing one term by its preceding term:

r = 275 ÷ -55 = -5

or, r = -55 ÷ 11 = -5

Therefore, r = -5

3 0
2 years ago
Please Help this is Due in 1 hour and I really dont understand any of this. (Question in Image)
Lerok [7]

Answer:

(-4, -1/2)

Step-by-step explanation:

Just by looking at the graph I can estimate that the midpoint of AB is (-4, -1/2) but we can also use midpoint formula to get a for sure answer.

Midpoint Formula: <em>((x1 + x2)/2, (y1 + y2)/2)</em>

x: (-5 + (-3))/2

   -8 / 2

x = -4

y: (-4 + 3)/2

   -1 / 2

y = -1/2

6 0
3 years ago
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