(7^x)^4 is equal to 7^(4x).

7^2 * 7^3 is equal to 7^(2+3) which is equal to 7^5.

7^5 / 7^(3x) is equal to 7^(5 - 3x).

you wind up with 7^(4x) is equal to 7^(5 - 3x)

this is true if and only if 4x = 5 - 3x.

8 0

4 years ago

SI on rs 5000 at 10percent for a certain period is rs 500 less then the interest on rs 6000 at 10 percent p.A for the same perio

svet-max [94.6K]

Answer:

The time period was of 5 years.

Step-by-step explanation:

The formula to compute the simple interest is:

$SI=\frac{P\times r\times t}{100}$

The information provided is as follows:

$P_{1}=5000\\\\r_{1}=10\%\\\\P_{2}=6000\\\\r_{2}=10\%\\\\SI_{1}=S_{2}-500$

The time period is same for both the amounts.

Compute the time t as follows:

$SI_{1}=SI_{2}-500$

$SI_{2}-SI_{1}=500$

$\frac{P_{1}\times r_{1}\times t}{100}-\frac{P_{2}\times r_{2}\times t}{100}=500$

$\frac{6000\times 10\times t}{100}-\frac{5000\times 10\times t}{100}=500\\\\$

$600t-500t=500\\\\$

$100t=500\\$

$t=5\ \text{years}$

Thus, the time period was of 5 years.

3 0

3 years ago

In a triangle, the second angle is twice the measure of the first, and the third angle is three times the measure of the second.

Ivenika [448]

If first angle = x then second angle = 2x and third angle = 2x*3 = 6x

so 6x + 2x + x = 180
9x = 180
x = 20

third angle = 6 *20 = 120

4 0

3 years ago

Little bit confused

Virty [35]

Answer:

50,000,000.

Step-by-step explanation:

It's 5 followed by 7 zero digits.

7 0

3 years ago

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