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3 years ago

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A construction crew needs to build a road that will be 20 miles long. The crew already completed a stretch that is 6.44 miles lo

ng and another that is 8.62 miles long. How much more road does the construction crew need to build? 2.18 miles 4.94 miles 11.38 miles 13.56 miles

2 answers:

Mademuasel [1]3 years ago

8 0

Answer:

Your answer would be (B) 4.94. Hope this helped!

6.44 + 8.62 = 15.06

20 - 15.06 = 4.94

Step-by-step explanation:

Hope this helps : )

Elden [556K]3 years ago

7 0

Answer:

4.94 miles

Step-by-step explanation:

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The population of a certain country in 1996 was 286 million people. In addition, the population of the country was growing at a

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Answer:

A) In 2004 the population will reach 306 million.

B) In 2033 the population will reach 386 million.

Step-by-step explanation:

Given : The population of a certain country in 1996 was 286 million people. In addition, the population of the country was growing at a rate of 0.8% per year. Assuming that this growth rate continues, the model $P(t) = 286(1.008 )^{t-1996}$ represents the population P (in millions of people) in year t.

To find : According to this model, when will the population of the country reach A. 306 million? B. 386 million?

Solution :

The model represent the population is $P(t) = 286(1.008 )^{t-1996}$

Where, P represents the population in million.

t represents the time.

A) When population P=306 million.

$306 = 286(1.008 )^{t-1996}$

$\frac{306}{286}=(1.008 )^{t-1996}$

$1.0699=(1.008 )^{t-1996}$

Taking log both side,

$\log(1.0699)=\log((1.008 )^{t-1996})$

$\log(1.0699)=(t-1996)\log(1.008)$

$\frac{\log(1.0699)}{\log(1.008)}=(t-1996)$

$8.479=t-1996$

$t=8.479+1996$

$t=2004.47$

$t\approx2004$

Therefore, In 2004 the population will reach 306 million.

B) When population P=386 million.

$386 = 286(1.008 )^{t-1996}$

$\frac{386}{286}=(1.008 )^{t-1996}$

$1.3496=(1.008 )^{t-1996}$

Taking log both side,

$\log(1.3496)=\log((1.008 )^{t-1996})$

$\log(1.3496)=(t-1996)\log(1.008)$

$\frac{\log(1.3496)}{\log(1.008)}=(t-1996)$

$37.625=t-1996$

$t=37.625+1996$

$t=2033.625$

$t\approx2033$

Therefore, In 2033 the population will reach 386 million.

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3 years ago