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Dvinal [7]
3 years ago
7

Find the common ratio of the following geometric sequence. If necessary, use the slash bar ( / ) to enter a fraction. Reduce fra

ctions to their lowest terms.,
2/5 , -4/15 , 8/45 , -4/15 , -8/45
Mathematics
1 answer:
algol [13]3 years ago
5 0
We have that
<span>2/5 , -4/15 , 8/45 , -4/15 , -8/45

we know that
 
</span><span>A geometric sequence is defined by   
a(n + 1) = r*a(n)
so
r = a(n + 1) / a(n)</span>

Let
a1=2/5
a2=-4/15
a3=8/45

a2/a1=(-4/15)/(2/5)=-20/30------> -2/3
a3/a2=(8/45)/(-4/15)=-20/30------> -30/45--------> -2/3

<span>the common ratio is
</span>r=-2/3
calculate
a4=r*a3---------> (-2/3)*8/45-----> -16/135
a5=r*a4--------> (-2/3)*(-16/135)-----> 32/405

the correct geometric sequence is 
2/5 , -4/15 , 8/45 , -16/135 , 32/405, .....

the answer is
the common ratio is r=-2/3

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Whitepunk [10]
3*25=75
so the question is 75/8
you would 10 packages since
8*8=64
8*9=72
but 8*10=80 is enough, remainder 5
5 0
3 years ago
Read 2 more answers
Please help me ! I will give you a heart and Brainly , if you put a link I will report you !
Triss [41]

Answer:

<4= 164

Step-by-step explanation:

the sum of any 2 angles of a triangle is equal to the exterior linear angle of the triangle

<1+<2=<4

8x+9+5x+12=14x+10

13x+21=14x+10

21=x+10

11=x

<4=14x+10

<4=14(11)+10

<4=154+10

<4= 164

4 0
2 years ago
Question 13
charle [14.2K]

The amount to be invested today so as to have $12,500 in 12 years is  $6,480.37.

The amount that would be in my account in 13 years is $44,707.37.

The amount I need to deposit now is $546.64.

<h3>How much should be invested today?</h3>

The amount to be invested today = future value / (1 + r)^nm

Where:

  • r = interest rate = 5.5 / 365 = 0.015%
  • m = number of compounding = 365
  • n = number of years  = 12

12500 / (1.00015)^(12 x 365) = $6,480.37

<h3>What is the future value of the account at the end of 13 years?</h3>

Future value = monthly deposits x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

  • r = interest rate = 5.3 / 12 = 0.44%
  • n = 13 x 12 = 156

200 x [{(1.0044^156) - 1} / 0.0044] = $44,707.37

<h3>What should be the monthly deposit?</h3>

Monthly deposit = future value / annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

  • r = 6.7 / 12 = 0.56%
  • n = 2 x 12 = 24

$14,000 / [{(1.0056^24) - 1} / 0.0056] = $546.64

To learn more about annuities, please check: brainly.com/question/24108530

#SPJ1

4 0
2 years ago
Find b and s. At The present time Mrs. B's age is six years more than four times her sons age. Three years ago she was seven tim
padilas [110]

Answer:

Mrs. B's age = y = 38 years

her son's age = x = 8 years

Step-by-step explanation:

To Find:

Mrs. B's age = y =?

her son's age = x = ?

Solution:

Let Mrs. B's age  be 'y' years

and her son's age be 'x' years

Three years ago Mrs B's will be (y - 3) and her son's age will be (x - 3)

According to the first given condition,

y = 6 + 4x ...............Equation ( 1 )

According to the second given condition,

(y - 3 ) = 7 (x - 3 )..........Equation ( 2 )

equating equation 1 in equation 2 we get

6 + 4x -3 = 7x - 21

7x - 4x = 21 + 3

∴ 3x=24\\\therefore x =\frac{24}{3} \\\\\therefore x =8\ years

Now substitute x in equation 1 we get

y = 6 + 4×8

y = 6 + 32

∴ y = 38 years

Mrs. B's age = y = 38 years

her son's age = x = 8 years

6 0
2 years ago
Pint 16oz $3.98
LiRa [457]
Okay, so when dealing with unit rates you want to see how much you have of your main measurement. In this case your main measurement is ounces. Since you have 16 and 32 you are going to divide your dollar amount by those and round to the nearest tenth. 
Here are the equations that need to be used. Figure out the answers to them and round. This will give you your answer
3.98/16=
5.98/32=
4 0
2 years ago
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