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vampirchik [111]
3 years ago
10

6. Find the missing value. Show your work.

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0
A+b=c it must equal a 90° angle
51+12=c and what ever c is subtract by 90 to get the missing variable(y)
51+12=63
90-63=27
y=27
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If your starting salary is $40,000 and you  receive a 4.2% raise every year, how much  TOTAL money will you make in 15 years?
Oliga [24]
The first year, the amount is 40,000

the second year is 40000 + 4.2% of 40000, or 0.042 * 4000, so 40000+(0.042*4000)
common factoring that  we get 40000(1 + 0.042), or just 40000(1.042)

in short, the starting amount is 40000, and to get the next term's value you'd use the "common ratio" of 1.042, namely the multiplier of 1.042.

for the third year it'll be 40000(1.042) + (0.042 *40000(1.042) ), again, common factoring that

40000(1.042)(1 + 0.042) or 40000(1.042)(1.042) or 40000(1.042)²

therefore,

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=40000\\
r=1.042\\
n=15
\end{cases}
\\\\\\
S_{15}=40000\left( \cfrac{1-1.042^{15}}{1-1.042} \right)\implies S_{15}\approx 40000\left( \cfrac{-0.8536}{-0.042} \right)
\\\\\\
S_{15}\approx 812951.42
5 0
3 years ago
Identify the solution and graph of the given inequality.<br> 34 &gt; 3(2 − x)
Verizon [17]

Answer:

Solving the inequality we get x>-9.33

The graph is shown in figure attached.

Step-by-step explanation:

We need to solve the inequality: 34 > 3(2-x)

Solving:

34 > 3(2-x)\\

Switching the sides , reversing the inequality and  Multiply 3 with terms inside the bracket

3(2-x)

Subtract 6 from both sides

6-3x-6

Divide both sides by -3 and inequality will be reversed

\frac{-3x}{-3} >\frac{-28}{3} \\x>\frac{-28}{3}\\x>-9.33

Solving the inequality we get x>-9.33

The graph is shown in figure attached.

6 0
3 years ago
Need help who is smart enough????
MArishka [77]

1).

$6

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$475

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4 0
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If 1 euro is 1.07 dollars and 1 pound is 1.25 dollars how many euro is to the pound
IrinaVladis [17]

Step-by-step explanation:

1.07×1.25

=1.3375 euros

5 0
3 years ago
What is the next number in the sequence 5, 10, 20, 40 , 50 ( )
alekssr [168]
I am pretty sure it is 100 becayse it looks luke it is doubling the number.
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