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Tema [17]
3 years ago
11

(17)^ 3 *(289)^ -6 =(17)^ 2m - 1​

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
6 0

Answer:

m = -4

Step-by-step explanation:

The given expression is :

(17)^{3}\cdot(289)^{-6}=(17)^{2m-1}

We need to find the value of m

We know that, 17² = 289

So,

(17)^{3}\cdot(17^2)^{-6}=(17)^{2m-1}\\\\(17)^{3}\cdot(17)^{-12}=(17)^{2m-1}

Also,x^ax^b=x^{a+b}

So,

17^{3-12}=17^{2m-1}\\\\17^{-9}=17^{2m-1}\\\\\implies -9=2m-1\\\\-9+1=2m\\\\-8=2m\\\\m=-4

So, the value of m is equal to -4.

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what interest rate is needed to turn $2500 into $15,000 in 14 years if interest is compounded weekly?
Anastasy [175]

Answer:

0.6845% per week.

Step-by-step explanation:

Simple Interest Calculation A = P(1 + rt)

Solving our equation:

r = (1/730.5)((15000/2500) - 1) = 0.00684463

r = 0.00684463

Converting r decimal to R a percentage

R = 0.00684463 * 100 = 0.6845%/week

Calculating the annual rate

0.6845%/week × 52 weeks/year = 35.594%/year.

The interest rate required to get a total amount, principal plus interest, of $15,000.00 from simple interest on a principal of $2,500.00 over 14.05 years (730.5 weeks) is 0.6845% per week.

7 0
3 years ago
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Answer:

£3.25

Step-by-step explanation:

You would add £1.25 and £00.50 which is £1.75 then you would do £5.00-£1.75 which is £3.25

5 0
3 years ago
The _____ _____, f(x) = x, is formed by the composition of a function and its inverse. (2 words)
jonny [76]

Answer:

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Step-by-step explanation:

We are given the following in the question:

Let f(x) be a function.

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The composition function of the function and the reverse function can be found as:

(f\circf^{-1})(x) = f(f^{-1})(x) = x

which is an identity function.

Thus, the correct answer is

The identity function, f(x) = x, is formed by the composition of a function and its inverse.

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Step-by-step explanation:

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2/9

Step-by-step explanation:

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