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Tresset [83]
3 years ago
15

pj is placing cans on a shelf. she makes a pattern that repeats after 4 cans. if pj repeats the problem, what will the 21th can

look like
Mathematics
1 answer:
spayn [35]3 years ago
4 0

Answer:

like the 3rd in the cycle

Step-by-step explanation:

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In 2005, the population of a town was 17,500. Suppose the population grows exponentially at a rate of 3% per year. Write an equa
Alina [70]

Answer:

The expression is:  p(x) = 17500*(1.03)^x

Step-by-step explanation:

Since we're starting our count in 2005, then let's call that year 0 and every year after that will be 2005 + x, where t grows from 0 as an integer.

In 2005 the population is:

p(0) = 17500

In 2006 the population is:

p(1) = 17500*(1 + \frac{3}{100}) = 17500*(1.03)

In 2007 the population is:

p(2) = p(1)*(1.03) = 17500*(1.03)*(1.03) = 17500*(1.03)^2

In 2008 the population is:

p(3) = p(2)*(1.03) = 17500*(1.03)^2*(1.03) = 17500*(1.03)^3

We can notice a pattern that the population pf the city is equal to the number of the starting population multiplied by the rate of change powered by the number of years after 2005. Therefore a generic expression for the population of that town can be written as:

p(x) = 17500*(1.03)^x

3 0
3 years ago
mrs.smith owned one square mile of land. when she moved she gave an equal part of the land to her 3 children,amy,brianna ,and ch
Black_prince [1.1K]

Mrs.smith divided one square mile of land to her 3 children,amy,brianna ,and chad.

1 mile is divided among each children . so the fraction of land each one get is \frac{1}{3}

Amy's land = \frac{1}{3}

Brianna's land = \frac{1}{3}

Chad's land = \frac{1}{3}

Amy decided to divide her portion of the land equally between her 2 children.

We know Amys land = 1/3

1/3 is divided among two children so we divide the fraction by 2

\frac{\frac{1}{3}}{2}= \frac{1}{3} * \frac{1}{2}

= \frac{1}{6}

\frac{1}{6} fraction of mrs. smith's land one of amy's children own.

Chad divided his land equally among his 6 children

We know Amys land = 1/3

1/3 is divided among 6 children so we divide the fraction by 6

\frac{\frac{1}{3}}{6}= \frac{1}{3} * \frac{1}{6}

= \frac{1}{18}

\frac{1}{18} fraction of mrs. smith's land one of Chad's children own.

4 0
4 years ago
Could 1 2 . 2 cm , 6 . 0 cm , 12.2 cm,6.0 cm, and 4 . 2 cm 4.2 cm be the side lengths of a triangle?
HACTEHA [7]

Answer:

Yes they can be


8 0
3 years ago
Emma works 30 hours per week and earns a monthly salary of $2370. (Assume there are 4 weeks in a month). Belle earns $4.20 every
andreev551 [17]

Answer:

emma earns more per hour and per week too i know this b/c i did it already

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Idk how to do this please help me it’d be really appreciated
Pani-rosa [81]

You want to compute the total area of the figure. The figure is composed by four 6x4 rectangles, and two 4x4 squares.

The area of one rectangle is 6\cdot 4 = 24

The area of one square is 4\cdot 4 = 16

You have four rectangles and two squares, so the answer is

4\cdot 24 + 2 \cdot 16 = 96+32=128

6 0
3 years ago
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