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Natalka [10]
3 years ago
9

Solve the inequality -2/9b>-12

Mathematics
1 answer:
trapecia [35]3 years ago
3 0

Answer:

1/2

Step-by-step explanation:

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. Mrs. Rojas deposited $8000 into an account paying 4% interest annually. After 8 months Mrs. Rojas withdrew the $6000 plus inte
Mashcka [7]

well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160

well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.

what if she had left her money for 1 whole year, then

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240

so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?

\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}

4 0
2 years ago
One number is six less than two times another. If their sum is increased by two, the result is fourteen. Find the numbers.
7nadin3 [17]

Answer:

2x-6+2=14

Step-by-step explanation:

2x-6+2=14

2x-4=14

2x=14-4

2x=10

x=5

5 0
2 years ago
Clayton is solving the equation 5x^2 = 20 – 12x with the quadratic formula.
Stolb23 [73]

Answer:

a=5, b=20, c= -12

Step-by-step explanation:

4 0
3 years ago
A laptop is $891.99 before sales tax. If the sales tax rate is 7.5%, find the total of the laptop WITH the sales tax included.
padilas [110]
You add .75 to 891.99
6 0
3 years ago
The equations 2 x minus y = negative 2, 3 x + 2 y = 5, 4 x minus y = 2, and 22 x + 10 y = 7 are shown on the graph below. On a c
KiRa [710]

Answer:

<em>The correct answer is First option</em>:

22x+10y=7\\ 2x-y=-2

Step-by-step explanation:

We are given 4 equations:

22x+10y=7\\ 2x-y=-2\\3x+2y=5\ and\ \\4x-y=2

Let us solve the first two:

22x+10y=7...... (1)\\ 2x-y=-2 ...... (2)

Multiplying (2) with 10 and adding to (1):

22x+20x=7-20\\\Rightarrow 42x=-12\\\Rightarrow x = -0.2857 \approx -0.3

So, approximately, value of x is -0.3.

Putting value of x in (2):

2 \times -0.3 - y =-2\\\Rightarrow y = -0.6+2\\\Rightarrow y = 1.4

value of x is approximately -0.3 so y is approximately 1.4.

So, the solution is \approx (–0.3, 1.4)

<em>The correct answer is First option</em>:

22x+10y=7\\ 2x-y=-2

The above two equations have a solution <em>approximately (–0.3, 1.4).</em>

3 0
3 years ago
Read 2 more answers
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