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3 years ago

What is the pattern here? 3, 21, 147, 1029, 7203

Mathematics

2 answers:

Hoochie [10]3 years ago

8 0

There all numbers i gues

mestny [16]3 years ago

6 0

Pretty much doing x7 everytime 3x7 is 21 21x7 147 and so on.

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A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1) ?

Andre45 [30]

Assuming that f(n+1) = f(n) is the full recursive definition, and that there are no typos, then this means that the nth term is equal to the (n+1)th term for any n where n is a positive whole number.

So
f(1) = f(2)
f(2) = f(3)
f(3) = 9

By the transitive property, f(1) = f(3) = 9. Therefore the answer is 9.

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4 years ago

(I REALLY NEED HELP, I'M STUCK, PLEASE EXPLAIN YOUR ANSWER!!!)

Papessa [141]

A) x ≈ 9.3 or x≈ -6.3
B) x ≈ 3.2 or x ≈ -4.7
C) x ≈ 6.4 or x ≈ -9.4

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3 years ago

Although we round it to 24 hr, the actual length of a day is 23 hr, 56 min, and 4.2 sec. how many seconds are there in an actual

Andrej [43]

Answer:

86,164.2 seconds

Step-by-step explanation:

There are 60 seconds in a minute, 60 minutes in an hour. Every hour has 3600 seconds. Multiply that by 23.

23×3600=82,800

multiply 60 by 56 for the seconds in the 56 minutes.

60×56=3360

add 82800+3360+4.2= 86,164.2

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3 years ago

Petrov ran 7 miles around a track. Each lap around the track is a distance of 1/4 mile. What is the total distance Petrov ran in

m_a_m_a [10]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Account A and Account B both have a principal of $2,000 and an annual interest rate of 2%. No additional deposits or withdrawals

GuDViN [60]

Answer:

Account B earns more interest.

After 20 years, account B will have earned $171.89 more.

Step-by-step explanation:

Let's calculate the total for each account.

Account A:

Account A earns simple interest. We know that the principal value is $2000 and the interest rate is 2% or 0.02. We can use the simple interest formula:

$A=P(1+rt)$

Where A is the future value, P is the principal, r is the rate, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, and 20 for t. This yields:

$A=2000(1+0.02(20))$

Multiply and add:

$A=2000(1+0.4)=2000(1.4)$

Multiply. So, the total amount of money in Account A after 20 years is:

$A=\$2800$

Since we initially deposited $2000 and our total is now $2800, this means that we earned an interest of $2800-2000=\$ 800$

Account B:

Account B earns compound interest. Like Account A, Account B has a principal value of $2000 and the interest rate is 2% or 0.02. We also know that it's compounded annually, so once per year. We can use the compound interest formula:

$B=P(1+\frac{r}{n}})^{nt}$

Where B is the future value, P is the principal, r is the rate, n is the times compounded per year, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, n for 1 (since it's compounded annually), and t for 20. This yields:

$B=2000(1+\frac{0.02}{1})^{(1)(20)}$

Simplify this to acquire:

$B=2000(1.02)^{20}$

Evaluate. Use a calculator. So, after 20 years, the amount of money in Account B is:

$B\approx\$2971.89$

Since our principal was $2000, this means that we earned an interest of approximately $2971.89-2000=\$ 971.89$ .

So, Account A earned an interest of $800 and Account B earned an approximate interest of $971.89.

So, Account B earned more interest.

And it earned $971.89-800=\$ 171.89$ more than Account A.

And we're done!

5 0

3 years ago