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tatuchka [14]
3 years ago
9

You brought 9 feet of elastic to make hair ties each hair ties need 3 3/8 inches of elastic how many hair ties can you make

Mathematics
1 answer:
PIT_PIT [208]3 years ago
3 0

Answer:

32\ hair\ ties

Step-by-step explanation:

we know that

To make one hair ties is needed 3 3/8 inches of elastic

so

using proportion

Find out how many hair ties can you make with 9 feet of elastic

Remember that

1\ ft=12\ in

Convert 9 ft to inches

9\ ft=9*12=108\ in

Convert mixed number to an improper fraction

3\frac{3}{8}\ in=\frac{3*8+3}{8}=\frac{27}{8}\ in

using proportion

\frac{1}{(27/8)}=\frac{x}{108}\\\\x=108*8/27\\\\x=32\ hair\ ties

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Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year
kifflom [539]

Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

A=P\left(1+\dfrac{r}{n}\right)^{nt}

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting P=14000,r=0.10,n=2,t=11 in the above formula, we get

A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}

A=14000\left(1+0.05\right)^{22}

A=14000\left(1.05\right)^{22}

A\approx 40953.65

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8 0
2 years ago
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ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) i
mariarad [96]

Answer:

Step-by-step explanation:

ε = {x: 2≤ x ≤30}

M = { even numbers} = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

P = { prime numbers} = {2,3,5,7,11,13,17,19,23,29}

T = {odd numbers} = {3, 5, 7, 9, 11,13,15,17,19,21,23,25,27,29}

1. M ∪ P = {2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30}

2. M - T =

n(M) - n(T)

15- 14 = 1

3. P(MT)

(MT) = M ∩ T = 0

P ∪ (M ∩ T ) = {2,3,5,7,11,13,17,19,23,29}

4. P' = not a prime number

T' = not odd number = M

P' ∪(M∩T')

P' ∪ {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

= {2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

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3 years ago
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Answer:

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6 days* 24 hours per day= 144 hours

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