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boyakko [2]
3 years ago
8

Find the value of (16/81)^3/4

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

1.92636657×10^-3

Step-by-step explanation:

This question looks quite awful coz it might be (16+81)^3/4 rather than being (16/81)^3/4....But, if it is (16/81)^3/4 the answer is 1.92636657×10^-3

hope you find it helpful....Thanks very much...

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Find how many years it would take for an investment of $3700 to grow to $6000 at an annual interest rate of 6.2% compounded semi
lorasvet [3.4K]

Answer:

  7 years 11 months

Step-by-step explanation:

The future value formula for the value of a principal P invested at annual rate r compounded n times yearly for t years is ...

  FV = P(1 +r/n)^(nt)

For the given numbers, we want to find t:

  6000 = 3700(1 +.062/2)^(2t)

Dividing by 3700 and taking the logarithm, we get ...

  6000/3700 = 1.031^(2t)

  log(60/37) = 2t·log(1.031)

Dividing by the coefficient of t gives ...

  t = log(60/37)/(2log(1.031)) ≈ 7.92 . . . . . years

It will take about 7 years 11 months for the investment to grow to $6000.

7 0
2 years ago
Represent Real-world Problems If one store is selling of a bushel of apples for $9, and another store is selling of a bushel of
Firlakuza [10]
Better deal normlly means the rate that cost less
rate=cost/amount

9=cost and 3/4 bushel = amount for one store
3/4=0.75
9/0.75=12/1 aka $12/1bushel

9 =cost and 2/3 bushel =amount for another
2/3=about 0.66666
9/0.66666=13.5/1 aka $13.5/1 bushell

compare
12 dollars per bushe vs 13.5 dollar per bushel
12 is cheaper

therefor $9 For 3/4 bushel is better deal
5 0
3 years ago
A graph is drawn to show the linear relationship described in the table below.What is the slope of the graphed line?
NikAS [45]
I need a picture I will answer the question if there is a picture
8 0
3 years ago
Express 45 minutes as a fraction of 1 hour ​
Pepsi [2]

Answer:

\frac{3}{4}

Step-by-step explanation:

There are 60 minutes in 1 hour

To express as a fraction

\frac{45}{60}

Divide numerator/denominator by 15

\frac{45}{60} = \frac{3}{4}

8 0
3 years ago
A circle is circumscribed around a square and another circle is inscribed in the square. If the area of the square is 9 in2, wha
lesantik [10]

Answer:

√2:1

Step-by-step explanation:

First we need to know that the length of the side of the square is equal to the diameter of the inscribed circle i.e

L = di

Given the area of the square to be 9in², we can get the length of the square.

Area of a square = L²

L is the length of the square.

9 = L²

L = √9

L = 3in

Hence the length of one side of the square is 3in

This means that the diameter of the inscribed circle di is also 3in.

Circumference of a circle = π×diameter of the circle(di)

Circumference of inscribed circle = π×3

= 3π in

For the circumscribed circumscribed circle, diameter of the outer circle will be equivalent to the diagonal of the square.

To get the diagonal d0, we will apply the Pythagoras theorem.

d0² = L²+L²

d0² = 3²+3²

d0² = 9+9

d0² = 18

d0 = √18

d0 = √9×√2

d0 = 3√2 in

Hence the diameter of the circumscribed circle (d0) is 3√2 in

Circumference of the circumscribed circle = πd0

= π(3√2)

= 3√2 π in

Hence, ratio of the circumference of the circumscribed circle to the one of the inscribed will be 3√2 π/3π = √2:1

8 0
2 years ago
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