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3 years ago

Find the indicated term of the arithmetic sequence with the first term a1 and the common difference

Mathematics

1 answer:

Afina-wow [57]3 years ago

7 0

a. a7 = a1 + (7 - 1)d

= -8 + 6*4

= 16 answer

b a16 = 10 + 15*7

= 115 answer

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30(4.+ 5) – 4(-– 3)(2x – 5)

Zielflug [23.3K]

Answer:

263

Step-by-step explanation:

5 0

2 years ago

Each of the 12 cards shown has a number and a color or pattern. Each card is equally likely to be drawn. Find each probability.

Sever21 [200]

Answer:

A) P(stars) = 1/3

B) P(odd)= 4/7

C)P(solid grays or stars or striped)= 1

D)P(1,4 or 7)= 3/7

E)P(not striped)= 2/3

Step-by-step explanation:

Given:

sample set contains 1-7 solid gray, 1-7 stars and 1-7 striped cards

Let solid gray be x

stars be y

striped be z

then sample set be

1x,2x,3x,4x,5x,6x,7x,

1y,2y,3y,4y,5y,6y,7y,

1z,2z,3z,4z,5z,6z,7z

total number of cards in sample set =21

Now

a)Finding probability of stars

Number of star cards in above sample set = 7

P(stars)= 7/21

P(y)=1/3

b)Finding probability of odd

Number of odd cards in above sample set = 12

P(odd)= 12/21

=4/7

c)Finding probability of solid grays or stars or striped

P(solid grays or stars or striped) = P(x or y or z)

=P(x U y U z)

As the events are mutually exclusive

P(x U y U z)= P(x)+P(y)+P(z)

now P(x)= 1/3

P(y)=1/3

P(z)=1/3

P(x U y U z) = 1/3 + 1/3 + 1/3

= 3/3

d)Finding probability of 1,4 or 7

Number of 1,4 or 7 cards in above sample set = 9

P(1,4 or 7) = P(1 U 4 U 7)

As the events are mutually exclusive

P(1,4 or 7) = P(1) + P(4) + P(7)

P(1)= 3/21

=1/7

P(4)= 3/21

=1/7

P(7)= 3/21

=1/7

P(1,4 or 7)= 1/7 + 1/7 + 1/7

=3/7

e)Finding probability of not striped

Number of not striped cards in above sample set = 14

P(not striped)= 14/21

= 2/3 !

6 0

3 years ago

Can someone pleaseee help me i’ll give you brainliest

mina [271]

I think it’s the second option, hope this helps. If it’s correct please give brainliest

8 0

3 years ago

Subtract the sum of (+3) and (6-0) from (-60). The result is

umka21 [38]

Answer:-69

Step-by-step explanation:

The sum of +3 & (6-0)=9

-60-(+9)=-69

7 0

3 years ago

4. Builtrite D is considering the purchase of a new machine for $500,000 which would require a $5000 installation charge. Employ

Paraphin [41]

Answer:

Builtrite D should purchase the machine

Step-by-step explanation:

Cash outflow in year zero = $ 500,000 + $ 25,000 ( training cost ) + $ 30,000 ( Net working capital)

Cash outflow in year zero = $ 555,000

Terminal cash flow in year 10 = $ 150,000 + $ 30,000 ( NWC)

Terminal cash flow in year 10 = $ 180,000

Operating cash flow per year = [ Savings - expenses - depreciation ] X ( 1 - tax rate) + depreciation

Net present value = $-500,000 + \frac{116,000}{1.15^1} + \frac{116,000}{1.15^2} +...+ \frac{180,000}{1.15^{10}}$

The Net present value of purchasing the machine = $32,071.42

Builtrite D should purchase the machine

3 0

2 years ago