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dybincka [34]
3 years ago
15

Write the first four terms in the following sequences. A(n+1)=12 A(n) for n≥1 and A(1)=4 .

Mathematics
1 answer:
ycow [4]3 years ago
3 0

Answer:Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8

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How far up the house would a ladder be resting if it is 25 ft long and 3 ft
Lena [83]

Answer:

C

Step-by-step explanation:

The last one is absurd. You can't have a ladder reaching higher than itself. The question is a Pythagorean problem.

Givens

a = 3

b = ?

c = 25 feet

Formula

a^2 + b^2 = c^2

Solution

3^2 + b^2 = 25^2

9 + b^2 = 625                  Subtract 9 from both sides.

b^2 = 625 - 9

b^2 = 616                        Take the square root of both sides.

b = sqrt(616)

b = 24.8

6 0
3 years ago
Brittany will be working full time this summer to save for her goal of having 10,000 by the time she is 21. Brittany has an acco
photoshop1234 [79]

Answer:

$ 8,695.35

Step-by-step explanation:

This is a compound interest question

Amount after t years = A = P(1 + r/n)^nt

Where P = Initial Amount saved

r = interest rate

t = time in years

n = compounding frequency

A = 10,000

r = 3.5 %

t = 21 - 17 = 4 years

n = Compounded monthly = 12

Step 1

Converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

P = A / (1 + r/n)^nt

Solving our equation:

P = 10000 / ( 1 + (0.035/12)^12 ×4 =

P = $8,695.35

The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.

8 0
3 years ago
Take the horse to overtake the
S_A_V [24]

Answer:

  • 120 km/h

Step-by-step explanation:

  • Speed in one direction = 40 km/h
  • Speed on return = x
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Let the distance be d

<u>Average speed </u>

  • 2d/(d/40 + d/x) = 60
  • d/40 + d/x = 2d/60
  • 1/40 + 1/x = 1/30
  • 1/x = 1/30 - 1/40
  • 1/x = (4-3)/120
  • 1/x = 1/120
  • x = 120 km/h

6 0
3 years ago
What is the volume of the right rectangular prism?
dexar [7]
He volume of the right rectangular prism is 120
6 0
3 years ago
Read 2 more answers
The Fruit Juice Company sold 5,909,999,222 cans of juice last year. This
elixir [45]
A) 2000000000

5,909,999,222-3,999,002,135= 1,910,997,087 which is closest to answer A
5 0
2 years ago
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