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3 years ago

4 thousands 7 hundreds equal 47 what

Mathematics

1 answer:

julsineya [31]3 years ago

6 0

The answer would be 4,700 because u have 4 thousands and 7 hundreds

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Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours. At this rate of decay,

salantis [7]

Answer:

9,942 bacteria were there at 10 hours.

Step-by-step explanation:

Equation for population decay:

The equation for population decay, after t hours, is given by:

$P(t) = P(0)(1-r)^t$

In which P(0) is the initial population and r is the decay rate, as a decimal.

Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours.

This means that $P(0) = 200000$ and that when $t = 18, P(t) = 900$ . So we use this to find r.

$P(t) = P(0)(1-r)^t$

$900 = 200000(1-r)^{18}$

$(1-r)^{18} = \frac{900}{200000}$

$\sqrt[18]{(1-r)^{18}} = \sqrt[18]{\frac{900}{200000}}$

$1 - r = (\frac{900}{200000})^{\frac{1}{18}}$

$1 - r = 0.7407$

$P(t) = P(0)(1-r)^t$

$P(t) = 200000(0.7407)^t$

At this rate of decay, how many bacteria was there at 10 hours?

This is P(10). So

$P(10) = 200000(0.7407)^{10} = 9941.5$

Rounding to the nearest whole number:

9,942 bacteria were there at 10 hours.

5 0

3 years ago

From the diagram below, find the length of AC. Round your answer to the nearest hundredth.

Anastaziya [24]

Answer:

D 11.61

Step-by-step explanation:

Arc length is

$2\pi r(\frac{angle}{360} )$

r=5 and angle measure is 133

$2\pi 5(\frac{133}{360} )\\10\pi (\frac{133}{360} )=11.61\\\\$

6 0

3 years ago

A person has $27000 nvested in stock A and stock B. Stock A currently sells for $30 a share and stock B sells for $80 a share

Harman [31]

Answer:

Step-by-step explanation:

Let x be initial number of shares of stock A and y be the initial number of shares of stock B.

Since the cost of one share of stock A is $30, the cost of x shares would be $ 30x. Similarly, the cost of y shares of stock B would be $ 80y.

The person bought these x and y shares in $ 27,000. So we can set up the equation as:

30x + 80y = 27000 Equation 1

Value of stock B triples. So new value of each share of stock B would be $ 240 and the price of y shares will be $ 240y. Value of stock A goes up by 50%. This means the price of each share of stock A would be 30 + 0.5(30) = $ 45 and the price of x shares would be $ 45x.

The worth of stock increased to $ 76,500. So we can set up the equation as:

45x + 240y = 76500 Equation 2

Multiplying Equation 1 by 1.5 and subtracting from Equation 2, we get:

45x + 240y - 1.5(30x + 80y) = 76500 - 1.5(27000)

45x + 240y - 45x - 120y = 36000

120y = 36000

y = 300

Using the value of y in Equation 1, we get:

30x + 80(300) = 27000

30x = 27000 - 80(300)

30x = 3000

x = 100

This means the person bough 100 shares of stock A and 300 shares of stock B.

5 0

3 years ago

The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Ex

Mila [183]

Answer:

Two numbers (integer only): 5 , 12

Step-by-step explanation:

Suppose two numbers are integers: ax and ay, a is common factor and x,y no more common factor

axy = 60 a: 1,2,3,4,6,10,12,30

ax - ay = a(x-y) = 7

after test , I exclude 3,4,6,10,12,30

if a=1 xy=60 (x,y): (3,10) (4,15) (5,12)

(5,12): LCM: 5*12=60 12-5=7

if a=2 xy=30 (x,y): (2,15) (3,10) (5,6) No solution in this combination

4 0

3 years ago

Find the percent increase of $3.49 to $3.89 then round to the nearest percent

Paul [167]

11.46% is the percent increase

6 0

4 years ago