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2 years ago

Resultado de w+3 3/8= 1 5/6

Mathematics

1 answer:

Darya [45]2 years ago

7 0

Answer:

Step-by-step explanation:

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in 2009 a total of R36 000 was invested in two accounts. One account earned 7% annual interest and the other earned 9% .The tota

Akimi4 [234]

a = amount invested at 7%

b = amount invested at 9%

we know the amount invested was ₹36000, thus we know that whatever "a" and "b" are, a + b = 36000. We can also say that

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of a}}{\left( \cfrac{7}{100} \right)a}\implies 0.07a~\hfill \stackrel{\textit{9\% of b}}{\left( \cfrac{7}{100} \right)b}\implies 0.09b$

since we know the interest earned from the invested was ₹2920, then we say that 0.07a + 0.09b = 2920.

$\begin{cases} a + b = 36000\\\\ 0.07a+0.09b=2920 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{a + b = 36000\implies \underline{b = 36000-a}}~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.07a~~ + ~~0.09(\underline{36000-a})~~ = ~~2920} \\\\\\ 0.07a+3240-0.09a=2920\implies 3240-0.02a=2920\implies -0.02a=-320 \\\\\\ a=\cfrac{-320}{-0.02}\implies \boxed{a=16000}~\hfill \boxed{\stackrel{36000~~ - ~~16000}{20000=b}}$

5 0

2 years ago

Use the least common denominator to write an equivalent fraction for each fraction. 2 6 , 7 8 The least common denominator is 24

seraphim [82]

Answer:

2/6 = 48/144

7/8 = 168/192

Step-by-step explanation:

Use the least common denominator to write an equivalent fraction for each fraction. 2/6 , 7/8 The least common denominator is 24 .

2/6 can be rewritten as __

We Multiply both numerator and Denominator by 24

48/144

7/8 can be rewritten as __

We Multiply both numerator and Denominator by 24

168/192

8 0

3 years ago

It costs $5 to become a member of a video game club. After that, video games 10 each with a 7% tax on each game. If you spent $6

Alinara [238K]

Answer:

6 games

Step-by-step explanation:

Each game is 10.70 x 6 = 64.20+5=no change

5 0

2 years ago

Read 2 more answers

Can someone help me?

nika2105 [10]

The answer would be B because range is the highest number take away the lowest number

8 0

3 years ago

A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is

Ainat [17]

Answer:

$15.2~mph$

Step-by-step explanation:

Let the time flown by the flying carpet be $t$ . Then, we have that $(2.4)/t=(1.4)/t+2*4$ .

We multiply both sides of the equation by $t$ to get $2.4=1.4+8t$ .

We subtract $1.4$ from both sides to get $1=8t$ .

We divide both sides of the equation by $t=1/8$ .

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is $(2.4)/(1/8)=19.2$ mph.

The speed against wind is $(1.4)/(1/8)=11.2$ mph.

The speed in still wind is $(19.2+11.2)/2=(30.4)/2=15.2$ .

Therefore, the answer is $\boxed{15.2~mph}$ and we're done!

4 0

3 years ago