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navik [9.2K]
3 years ago
5

The sum of an infinite geometric series is 450, while the common ratio of the series is 4/ 5 . What is the first term of the ser

ies? A) 22 1 2 B) 45 C) 90 D) 180
Mathematics
2 answers:
pogonyaev3 years ago
7 0

Answer:

answer is 90 for first term

Step-by-step explanation:

Let the terms be  

First term x

We will use the formula s∞=x/1−r to find the sum of an infinite geometric series, where −1<r<1.  

We know the sum and the common ratio, so we'll be solving for x where r =4/5

s∞=x/1−r

450=x/1−4/5

450=x/1/5

450=5x

x=90

this is the first term x1 = 90

we know that common ratio is 4/5, so multiplying the first term by factor 4/5 to get the second term  

90 x 4/5=   72 second term  

Slav-nsk [51]3 years ago
3 0

Answer:

C) 90

Step-by-step explanation:

The sum of an infinite geometric series is:

S = a₁ / (1 − r)

where a₁ is the first term and r is the common ratio.

450 = a₁ / (1 − 4/5)

450 = a₁ / (1/5)

450 = 5a₁

a₁ = 90

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A car dealership decreased the price of a certain car by 13%. The original price was $45,400.
ira [324]

Answer:

5902

Step-by-step explanation:

Solution: 13% off 45400 is equal to (13 x 13) / 100 = 5902.

5 0
3 years ago
The sides OP and RO of triangle POR are produced to points S and T respectively. If ∠SPR = 145° and ∠POT = 115° , find ∠PRO
Margarita [4]

Answer:

\angle PRQ = 80

Step-by-step explanation:

Given

\angle SPR = 145^o

\angle POT = 115^o

See attachment

Required

Find \angle PRO

First, calculate \angle RPO

\angle RPO + \angle SPR = 180 --- angle on a straight line

So, we have:

\angle RPO + 145 = 180

Collect like terms

\angle RPO = 180 - 145

\angle RPO = 35

Next, calculate PQR

\angle POR + \angle POT = 180

So, we have:

\angle POR + 115 = 180

Collect like terms

\angle POR = 180-115

\angle POR = 65

So, PRO is calculated as:

\angle PRO + \angle POR + \angle RPO = 180 --- angles in a triangle

So, we have:

\angle PRO + 65 + 35= 180

\angle PRO + 100= 180

Collect like terms

\angle PRO = 180-100

\angle PRO = 80

3 0
3 years ago
mr.white can travel for 6 hours while taking 3 breaks of 10 mins each once he had to travel for 36 hours how many minutes in bre
arlik [135]
If he once traveled 36 hours and he takes 6 hour trips you do
10x3=30 so every six hours he takes 30 minute brakes then 36 divided by 6 equlas 6 you would do 30x6= the answer!!! (Btw i do 6th grade math)
7 0
3 years ago
What is the answer to this question ?
romanna [79]
Just use a calculator and you will get -1/2
3 0
3 years ago
Can anyone help me with this question ? 6c + 3 =45
ikadub [295]

Answer:

Ans: 6c+3=45

6c=45-3

6c/6=42/6

C=7

So my correct answer is C=7

7 0
3 years ago
Read 2 more answers
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