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Yuri [45]
4 years ago
11

Find a5, when a1 =4, r=5

Mathematics
1 answer:
sasho [114]4 years ago
3 0

Answer:

Answer: a5 = 2500

Step-by-step explanation:

For a geometric sequence:  

First term = a0  

Second term = a1 = a0*r  

Third term = a2 = a0*r^2  

Fourth term = a3 = a0*r^3  

....  

nth term = a(n-1) = a0*r^(n-1)  

Given: a1 = 4 = a0*r  

Also: r = 5  

So, a0*5 = 4 => a0 = (4/5)  

a5 = a(6-1) = Sixth term = a0*r^5 = (4/5)*5^5 = 2500  


Hope this helps

correct me if im wrong☺


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some friends went to a local movie theater and bought four large buckets of popcorn and six boxes of candy.The total for the sna
WARRIOR [948]

The total of 2 buckets of popcorn and 3 boxes of candy would be $23.25

To answer this question you need to form a set of simultaneous equations and solve them. We can do this by saying that a bucket of popcorn = P, and a box of candy = C. Then we can say:

4P + 6C = 46.50

P + C = 9.75

There are then two possible ways to solve; you can either say that C = 9.75 - P using the second equation and then substitute it into the first, or you can multiply the second equation by either 4 or 6 to cancel out P or C.

I’m going to multiply the second equation by 4:

4P + 4C = 39

Now we can subtract this for, the first equation:

4P + 6C = 46.50

4P + 4C = 39

2C = 7.50

C = 3.75

Now we can substitute this value of C into one of the equations to find P:

P + C = 9.75

P + 3.75 = 9.75

P = 6

And now to answer the question, you just multiply P by 2 and C by 3 and add them together, which gives you $23.25

I hope this helps! Let me know if you have any questions :)

6 0
3 years ago
A bicycle tire has a diameter of 62 cm
anzhelika [568]

Answer

1946.8 cm

Step-by-step explanation:

you first need to find the circumference of the tire. to do this you use the formula C=d(3.14)

you plug in the 62 to the d

62 times 3.14 = 194.68

and multiply that by 10 because it is 10 revolutions to get 1946.8 cm

5 0
4 years ago
A segment has endpoints (14,-8) and (4, 12). What are the coordinates of<br> its midpoint?
lutik1710 [3]

Answer:

(9,2)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates of the endpoints

(14+4)/2 = 18/2 = 9

To find the y coordinate of the midpoint, average the y coordinates of the endpoints

(-8+12)/2 = 4/2 = 2

3 0
3 years ago
Read 2 more answers
write the slope-intercept form for the equation of the line described through (4,-5) and parallel to y=--5/4x-4
Tems11 [23]

Answer:

y = -5x/4 + 0

Step-by-step explanation:

Find the slope

y = -5/4x - 4

Slope is the coefficient of x

Slope m = -5/4

Substitute m into point slope form equation

y - y1 = m(x - x1)

y - y1 = -5/4( x - x1)

Substitute the point into the equation

( 4 , -5)

x1 = 4

y1 = -5

y - y1 = -5/4( x - x1)

y - (-5) = -5/4( x - 4)

y + 5 = -5/4(x - 4)

Using a slope intercept form equation

y = mx + c

y - intercept point y

m - slope

x - intercept point x

c - intercept

open the bracket with -5/4

y + 5 = -5(x - 4)/4

y + 5 = (-5x + 20)/4

y = (-5x + 20)/4 - 5

LCM = 4

y =( -5x + 20 - 20)/4

y = ( -5x + 0)/4

Rearrange in

y = mx + c

y = -5x/ 4 + 0/4

y = -5x/4 + 0

The equation of the line is

y = -5x/4 + 0

3 0
3 years ago
Pencils are on sale for $0.99 per dozen. Ms. Klein buys 8 pencils for each of her 96 students. How much will she spend on pencil
defon

Answer:

$63.36

Step-by-step explanation:

First we need to determine how many pencils are needed

8 pencils times 96 students

8*96 =768 pencils

A dozen is 12 pencils

Divide the number of pencils needed by 12 to determine how many dozen pencils are needed

768/12 =64

We need 64 dozen pencils

They cost .99 per dozen

64*.99 =63.36

It will cost $63.36 for  the pencils

3 0
3 years ago
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