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2 years ago

104, 116, 128, 140 in the 5th term sequence

Mathematics

2 answers:

AlladinOne [14]2 years ago

7 0

Answer:

152

Step-by-step explanation:

Every number adds by 12

maxonik [38]2 years ago

4 0

Answer:

152

Step-by-step explanation:

The given series represents an Arthemetic Progression with common difference d

d=a2-a1=116-104=12

Therefore

a5=a+4d=104+48=152

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klemol [59]

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3 years ago

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xeze [42]

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3 years ago

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You row a canoe x miles per hour down a river for 20 minutes. On the return trip, you travel 1 mile per hour slower. The return

ozzi

Answer:

Total Distance = 2 miles

Step-by-step explanation:

We know D = RT where

D is distance

R is rate (speed)

T is time

First Leg:

Rate = x mph

Time = 20/60 = 1/3 hour

Hence, D = RT, Distance = x * 1/3 = x/3 miles

Second Leg:

Rate = x - 1

Time = 30/60 = 1/2 hour

Distance = (x - 1) * 1/2 = (x-1)/2

Total distance is the sum of both the legs, hence,

Total distance = $\frac{x}{3}+\frac{x-1}{2}=\frac{2x+3(x-1)}{6}=\frac{2x+3x-3}{6}=\frac{5x-3}{6}$ miles

Since both the distance are equal we can equate and solve:

$\frac{x}{3}=\frac{x-1}{2}\\2x=3x-3\\x=3$

Plugging this x = 3 into the total distance expression, we get:

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3 years ago

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boyakko [2]

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3 years ago

The population of Brazil was 162,300,000 in 1995. It was growing at a rate of about 2% per decade. Predict the population, to th

stiv31 [10]

Answer:

The population is 168,900,000 to the nearest hundred thousand

Step-by-step explanation:

In this question, we are tasked with calculating the population of Brazil given its population in 1995 and her growth rate per decade.

Mathematically, we use an exponential function to calculate this population.

This can be written as P = I(1 + r)^n

where P is the population in 2015 which we are looking for,

I is the initial population which is 162,300,000

r is the rate of increase per decade given as 2% = 2/100 = 0.02,

n is the number of times between the years we are expecting this growth. The difference between the years 2015 and 1995 is 20 years which signifies 2 decades(1 decade is 10 years). Thus our n is 2

We plug these values into the equation above;

P = 162,300,000(1+0.02)^2

P = 162,300,000(1.02)^2

P = 168,856,920 which is 168,900,000 to the nearest hundred thousand

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3 years ago

104, 116, 128, 140 in the 5th term sequence​

104, 116, 128, 140 in the 5th term sequence