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Aleks [24]
3 years ago
9

If f(1)=6 and f(n)=-5f(n-1)-4 then find the value of f(5)

Mathematics
1 answer:
irakobra [83]3 years ago
8 0

Answer:

3126

Step-by-step explanation: f(1)=6 and f(n)=5f(n-1)-4. This means that next number is 5 times previous number minus 4.

f(2)=5f(1)-4 =5x6-4 = 30-4 = 26

f(3)=5f(2)-4 =5x26-4 = 130-4 = 126

f(4)=5f(3)-4 =5x126-4 = 630-4 = 626

f(5)=5f(4)-4 =5x626-4 = 3130-4 = 3126

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The moats separating people from the animals are 5 m wide for lions and 4 m wide for the elephants. If the lion’s moat is 4 m de
ZanzabumX [31]

Answer:

<em>The elephants' moat should be 3.2 meters deep.</em>

Step-by-step explanation:

Suppose, the depth of the elephants' moat is  x meter.

Width of the lions' moat is 5 meter and width of the elephants' moat is 4 meter.

Given that, the lion’s moat is 4 meter deep.

So, <u>according to the ratio of width and depth</u>, the equation will be.......

\frac{5}{4}=\frac{4}{x}\\ \\ 5x=4*4\\ \\ 5x=16\\ \\ x=\frac{16}{5}=3.2

Thus, the elephants' moat should be 3.2 meters deep.

3 0
3 years ago
Ronald invested $68160 for 8 years and earned 6.2% interest compounded annually
erastova [34]

Answer:

He earned 110287.3536 dollars

6 0
3 years ago
This season, Lisa's lacrosse team has won $\frac 23 of their home games (games played at Lisa's school), but just $\frac 25 of t
juin [17]

Answer:

Lisa's team have played 24 home games and 25 away games.

Step-by-step explanation:

Given:

Let x represents games played at home.

also y represent games played away.

Total number of games played = 49

∴ x+y=49 \ \ \ \  equation \ 1

Now according to given data:

Number of home games won = \frac{2}{3}

Number of away game won = \frac{2}{5}

Total games won =26

Hence

\frac{2}{3}x+\frac{2}{5}y=26\\\\\frac{2\times 5}{3\times 5}x+\frac{2\times 3}{5\times 5}y=26\\\\\frac{10}{15}x+\frac{6}{15}y=26\\\\\frac{10x+6y}{15}=26\\\\10x+6y= 26\times 15\\10x+6y = 390\\2(5x+3y)=390\\5x+3y=\frac{390}{5}\\\\5x+3y=195 \ \ \ \ equation \ 2\\

Now multiplying equation 1 by 3 we get,

3(x+y)=3\times49\\3x+3y=147 \ \ \ \ \ equation \ 3\\

Now Subtracting equation 2 by equation 3 we get,

(5x+3y=195)-(3x+3y=147)\\2x=48\\x= \frac{48}{2}=24

Substituting value of x in equation 1 we get.

x+y=49\\24+y=49\\y=49-24=25

Hence Lisa's team have played 24 home games and 25 away games.

3 0
3 years ago
What is the circumference of the circle if r = 3.5 feet? Use 22 7 for π. A) 5.5 feet B) 11 feet C) 22 feet D) 38.5 feet
Liono4ka [1.6K]
Well, to find the circumference of a circle, we can use the formula
C=2\pir.
So just plug in 3.5 into the formula.
C=2\pi3.5.
Multiply and we get C=21.99. which is about 22 
So our answer would be C. 22 feet.
Hope I helped!
8 0
3 years ago
Read 2 more answers
What do I do? please help
sammy [17]
Well i believe its 23 my son
5 0
3 years ago
Read 2 more answers
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