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4 years ago

Increase 47 litres by 5%

Mathematics

2 answers:

Evgen [1.6K]4 years ago

7 0

The answer would be 49.35 liters

Morgarella [4.7K]4 years ago

5 0

49.35 litres

47 times 1.05=49.35

(Sheldon got it right first)

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A community had a population of 12,000 in 1985, which is increased to 20,000 in 2010. The saturation population is 80,000. Estim

ivann1987 [24]

Answer:

The right answer is :

(a) 23,200

(b) 24,514

(c) 22,926

Step-by-step explanation:

According to the question,

$P_1 = 12000$

$P_2 = 20000$

$P_{sat}=80000$

(a)

We know that the arithmetic growth formula will be:

⇒ $P=Pi+K\times t$ ...(1)

here,

⇒ $K=\frac{P_2-P_1}{\Delta t}$

$=\frac{20000-12000}{25}$

$=\frac{80000}{25}$

$=320$

On putting the values in equation (1), we get

⇒ $P_{2020}=20000+320\times 10$

$=23,200$

(b)

The geometric growth formula will be:

⇒ $P=ln(Pi)+K\times t$

here,

⇒ $K=\frac{lnP_2-lnP_1}{\Delta t}$

$=\frac{ln(20000)-ln(12000)}{25}$

By putting the values of general log, we get

hence,

⇒ $P_f=ln(20000)+0.0204\times 10$

$=10.107$

$P_{2020}=e^{10.107}$

$=24,514$

(c)

⇒ $P_f=P_{sat}-(P_{sat}-P_i)e^{-K\times t}$

or,

⇒ $K=-\frac{1}{\Delta t}ln(\frac{P_{sat}-P_2}{P_{sat}-P_1} )$

from here, we get

$=0.005$

hence,

⇒ $P_{2020}=80000-(80000-20000)e^{-0.005\times 10}$

$=80000-(60000)e^{-0.005\times 10}$

$=22,926$

5 0

3 years ago

A carton measuring 72 cm by 48 cm by 75 cm was packed with cyndrical tins of radius 6 cm and height 15 cm standing upright.How m

Ierofanga [76]

Answer:

milk

Step-by-step explanation:

7 0

3 years ago

HELP ASAP ASAP HELPPP

telo118 [61]

I don’t think this would exist because it would be only on the -2 point.

3 0

3 years ago

as a contractor to make a hole 4 5/8 inches diameter. express the mixed number as an improper fraction.

san4es73 [151]

The mixed number as an improper fraction is 37/8

<h3>How to express the mixed number as an improper fraction?</h3>

The diameter is give as:

Diameter = 4 5/8

Next we convert the above number to an improper fraction

The numerator is calculated as

Numerator = 8 * 4 + 5

This gives

Numerator = 37

Hence, the mixed number as an improper fraction is 37/8

Read more about fractions at:

brainly.com/question/18734292

#SPJ1

7 0

2 years ago

1.Suppose that scores on a knowledge test are normally distributed with a mean of 71 and a standard deviation of 6

Degger [83]

Answer:

a) For this case we can see the distribution in the figure attached is a bell shaped graph and symmetrical around 71

b) $z = \frac{76-71}{6}= 0.833$

We can see the value of 76 labeled in the second picture attached

c) $P(X>76)$

And using the z score we have this using the normal standard table or excel:

$P(Z>0.833) = 1-P(Z$

d) $n = 185*0.202= 154.16$

We can say that about 154 and 155 students scored higher than Angelica

Step-by-step explanation:

We know that X represent the random variable scores of knowledge test and is given by:

$X \sim N (\mu = 71, \sigma =6)$

Part a

For this case we can see the distribution in the figure attached is a bell shaped graph and symmetrical around 71

Part b

For this case the z score is given by:

$z = \frac{X- \mu}{\sigma}$

And replacing we got:

$z = \frac{76-71}{6}= 0.833$

We can see the value of 76 labeled in the second picture attached

Part c

We want this probability:

$P(X>76)$

And using the z score we have this using the normal standard table or excel:

$P(Z>0.833) = 1-P(Z$

Part d

For this case we can find the number desired like this:

$n = 185*0.202= 154.16$

We can say that about 154 and 155 students scored higher than Angelica

6 0

4 years ago