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Anastaziya [24]
3 years ago
5

Simplify (4^7/5^2)^3

Mathematics
2 answers:
Vlad [161]3 years ago
6 0

Answer:

281474976.7

Step-by-step explanation:

4⁷=16384

5²=25

16384/25=655.36

(655.36)³=281474976.7

Nuetrik [128]3 years ago
5 0

Answer:

4²¹/5⁶ or 4398046511104/15625

Step-by-step explanation:

Remember, when raising a term with an exponent to some power, you must multiply the powers.

(\frac{4^{7} }{5^{2} })^{3} \\\\ = (\frac{(4^{7})^{3} }{(5^{2})^{3} }) \\\\= \frac{4^{7 * 3} }{5^{2* 3} } \\\\= \frac{4^{21} }{5^{6} } \\\\=\frac{4398046511104}{15625}

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gary deposits 3700 in an account that pays 2.15% simple interest he keeps the money in the account for 3 years but doesn’t make
zzz [600]

Answer:

238.65

Step-by-step explanation:

To find the simple interest we use the formula:

A = P(1 + rt)

Let's break down all the variables that we have.

P = 3,700

r = 2.15% or 0.0215

t = 3

So let's put all our variables into the formula.

A = P(1 + rt)

A = 3,700(1 + (0.0215)(3))

A = 3,700(1 + 0.0645)

A = 3,700(1.0645)

A = 3938.65

Gary will have a total of 3938.65 in his account after 3 years. Now to find how much he made in interest, we simply subtract the total after 3 years to his initial amount.

Interest = 3938.65 - 3700

Interest = 238.65

4 0
3 years ago
Find an exact value.
leonid [27]

Answer:

(√2 - √6) / 4

C. square root of two minus square root of six divided by four.

Step-by-step explanation:

sine of negative eleven pi divided by twelve.

We have :

sin(-11π/12)

sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)

sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)

Recall:

Angle difference formula:

sin(A - B) = sinAcosB - sinBcosA

Hence,

sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)

From trigonometry:

sinπ/3 = √3/2

cos5π/4 = -√2/2

sin5π/4 = -√2/2

cos π/3 = 1/2

(√3/2) (-√2/2) − (-√2/2) (1/2)

-√6/4 - -√2/4

-√6/4 + √2/4

√2/4 - √6/4

(√2 - √6) / 4

7 0
3 years ago
The table below shows the outputs y for different inputs x:
igor_vitrenko [27]
Part A)
The table doesn't represent y as a function of x.
Why? <span>One reason is that 1 or 3 is the first element in more than one ordered pair.
 Part B)
f(x) = 10x + 20
f(120)= 10*120 + 20 = 1200 + 20 = 1220 
</span><span>f(120) represents cost of boating for 120 hours.</span><span>
 </span>

3 0
3 years ago
Read 2 more answers
Identify the parts of the expression 4.2m + (8 , 2) - 6.
yan [13]

Answer:

The answe wo

Step-by-step explanation:

5 0
2 years ago
If y has moment-generating function m(t) = e 6(e t −1) , what is p(|y − µ| ≤ 2σ)?
Lostsunrise [7]
Since \mathrm M_Y(t)=e^{6(e^t-1}, we know that Y follows a Poisson distribution with parameter \lambda=6.

Now assuming \mu,\sigma denote the mean and standard deviation of Y, respectively, then we know right away that \mu=6 and \sigma=\sqrt6.

So,

\mathbb P(|Y-\mu|\le2\sigma)=\mathbb P(6-2\sqrt6\le Y\le6+2\sqrt6)=\dfrac{66366}{175e^6}\approx0.940028
6 0
3 years ago
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