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exis [7]
2 years ago
8

terms in a geometric sequence are 16, 20, 25, 31.25, find the value of the 17th term, to the nearest WHOLE number.

Mathematics
1 answer:
Bond [772]2 years ago
8 0

Answer:

568

Explanation:

First you need to make an equation. You need to find the change, in this case it’s 1.25. After, you find that, you make your equation. A(n)=16(1.25)^n-1.

I hope this was helpful

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What is 120 divided by20
anzhelika [568]

Answer:

5

Step-by-step explanation:

120/20=5

6 0
3 years ago
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A boat travels 105 km downstream in 5 hours. The return trip upstream takes 7 hours. Find the speed of the boat in still water a
notsponge [240]
Speed of the boat = u
speed of the current = v

in downstream,
u - v = 105/5
u - v = 21

in upstream
u + v = 105/7
u + v = 15

add both equations
2u = 36
u = 18

v = -3

so
speed of the boat = 18 km/h
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4 0
2 years ago
An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an
Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

  • 28 students in the Spanish class,
  • 26 in the French class,
  • 16 in the German class,
  • 12 students that are in both Spanish and French,
  • 4 that are in both Spanish and German,
  • 6 that are in both French and German,
  • 2 students taking all 3 classes.

So,

  • 2 students taking all 3 classes,
  • 6 - 2 = 4 students are in French and German, bu are not in Spanish,
  • 4 - 2 = 2 students are in Spanish and German, but are not in French,
  • 12 - 2 = 10 students are in Spanish and French but are not in German,
  • 16 - 2 - 4 - 2 = 8 students are only in German,
  • 26 - 2 - 4 - 10 = 10 students are only in French,
  • 28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

\dfrac{50}{100} =0.5

B. If a student is chosen randomly,  the probability that he or she is taking exactly one language class is

\dfrac{8+10+14}{100}=0.32

C. If 2 students are chosen randomly,  the probability that both are not taking any language classes is

0.5\cdot 0.5=0.25

So,  the probability that at least 1 is taking a language class is

1-0.25=0.75

3 0
3 years ago
The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than it length. Find the length a
lesya [120]

P = L + L + w + w

72 = 2(L) + 2(L-4)

Distribute

72 = 2(L) + 2(L) - 8

Add like terms

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Subtract 8 from both sides

64 = 4(L)

Divide both sides by 4

16 = L

The length is 16. Now substitute that in the equation for finding w.

w = L - 4

w =

4 0
3 years ago
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sweet-ann [11.9K]

Answer:

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Step-by-step explanation:

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