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Fiesta28 [93]
2 years ago
13

Find the value of y...​

Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
5 0

Answer:

y=0

Step-by-step explanation:

Rewrite Evaluate Powers:

33^{2y-1}+3^{-1}+2*3^{y}*3^{-1}=1

Calculate:

(3^{y})^{2}*\frac{1}{3} +2*3^{y}*\frac{1}{3}=1

Solve using substitution:

(3^{y})^{2}*\frac{1}{3} +\frac{2}{3} *3^{y}=1     t=3^{y}

Solve the equation for t:

t^{2}*\frac{1}{3}+\frac{2}{3}t=1

t=-3

t=1

Substitute back to t=3^y

3^y=-3

3^y=1

y∉R

3^{y}=1

y=0

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There is a list of seven numbers. The average of the first four numbers is 5, and the average of the last four numbers is 8. If
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Answer:

6

Step-by-step explanation:

Sum of first 4 numbers= 4*5= 20

This includes 3 + 4th number

Sum of last 4 numbers= 4*8= 32

This includes 4th number + 3

Sum of 7 numbers= 7*(6+4/7)= 46

This includes 3+4th number +3

Number common to both sets= (20+32)- 46 = 6

3 0
3 years ago
$765.13 is deposited at the end of each month for 3 years in an account paying 2% Interest compounded monthly. Find the final am
Crank

Answer:

Option B.

Step-by-step explanation:

The future value formula, for an annuity, is:

FV = \frac{P((1+r)^{n} - 1)}{r}

An annuity means that a number of payments happen during the period(an year, for example).

P is the value of the deposit, r is the interest rate, as a decimal, and n is the number of deposits.

In this question:

Deposits of $765.13, so P = 765.13

Each month, for 3 years. An year has twelve months, so n = 3*12 = 36

2% Interest a year. An year has 12 months, so r = \frac{0.02}{12} = 0.00167

Find the final amount of the account.

FV = \frac{765.13*((1 + 0.00167)^{36} - 1)}{0.00167} = 28,363.46

The final amount of the account will be $28,363.46, which is option B.

8 0
3 years ago
Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators. He h
zmey [24]

Answer:

3 pencils

Step-by-step explanation:

We are given Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.

Number of pencils=72

Number of calculators=24

If Zayed creates the greatest number of identical packages

Then , we find GCF of 72 and 24

72=2\times 2\times 2\times 3\times 3

24=2\times 2\times 2\times 3

GCF=2\times 2\times 2\times 3

Hence, Zayed creates 24 packages.

Number of pencils in each package=\frac{72}{24}=3

Hence, 3 pencils and one calculator will be in each package .

4 0
3 years ago
Read 2 more answers
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Paha777 [63]
Half of the cards in the deck of 52 are red. There are 14 cards that are both red AND greater than 6. 14/52≈0.27. Hope this helps!
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2 years ago
What is 39 in base two
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Answer:

0b100111

Step-by-step expla

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