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3 years ago

I need help please. its due tommorow

Mathematics

1 answer:

FromTheMoon [43]3 years ago

3 0

If it is about finding the variable you need to distribute for #2 and #3. Get the variable by itself.

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Find two consecutive even integers whose sum is 22

andrew11 [14]

10 & 12

x = 1st consecutive even number

x + 2 = 2nd consecutive even number

x + x + 2 = 22

2x + 2 = 22

2x = 20

x = 10

x + 2 = 12

10 and 12 are the two consecutive even numbers

7 0

3 years ago

You invest $300 at 4% interest, compounded every year. What will your balance be after 5 years? (Remember, the formula is A = P(

Stells [14]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill\\ P=\textit{original amount deposited}\to &\$300\\ r=rate\to 4\%\to \frac{4}{100}\to &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{every year, once} \end{array}\to &1\\ t=years\to &5 \end{cases} \\\\\\ A=300\left(1+\frac{0.04}{1}\right)^{1\cdot 5}\implies A=300(1.04)^5\implies A\approx 364.996$

3 0

3 years ago

Dawn comma Sergio comma Tyrone comma and Jim have all been invited to a dinner party. They arrive randomly and each person arriv

professor190 [17]

Answer:

a. 24

b. 2

c. 0.0833 = 8.33%

Step-by-step explanation:

The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.

So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive

If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2

If we have 2 cases where Dawn is first and Jim is last, from a total of 24 possible cases, the probability is 2/24 = 1/12 = 0.0833 = 8.33%

3 0

3 years ago

Please help Slove for x

gayaneshka [121]

Answer:

x = 20

Step-by-step explanation:

These angles are consecutive interior angles, so when added they will equal 180 degrees (according to the consecutive interior angles theorem).

3x - 10 + 5x + 30 = 180 add/subtract all like terms

8x + 20 = 180

8x = 160

x = 20 <--- This will be your answer

Hope it helps!

7 0

3 years ago

Please help................

alexira [117]

Answer:

so $2^{8}$ equals 2x2x2x2x2x2x2x2

Step-by-step explanation:

Its that because when expanding Exponents, you always put the first number of the exponet first. like for example, $3^{2}$ , you put the three 2 times and multiply. 3x3

8 0

3 years ago