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IgorLugansk [536]
3 years ago
5

The current population of a city can be represented by p. the population is expected to increase by 6.5% next year. Write a expr

ession in simplest form that represents the expected population next year
Mathematics
1 answer:
krok68 [10]3 years ago
5 0
Population growth is generally given by an exponential function,

<em>f</em>(<em>x</em>) = <em>a</em>*<em>b</em>^<em>x</em>, where <em>a</em> is the original population, <em>b</em> = 1 + the rate of growth (written as a decimal number), and <em>x</em> is the amount of time.  In our case we have

<em>p</em>(1 + 0.065)<em>^</em>1<em>
</em>= <em>p</em>(1.065) = 1.065<em>p</em>
You might be interested in
Reduce the fraction 512/128 into the simplest form.​
frez [133]

Answer:

Therefore, 512/128 simplified to lowest terms is 4/1.

Step-by-step explanation:

Reduce 512/128 to lowest terms

The simplest form of  

512

128

is  

4

1

.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 512 and 128 is 128

Divide both the numerator and denominator by the GCD

512 ÷ 128

128 ÷ 128

Reduced fraction:  

4

1

Therefore, 512/128 simplified to lowest terms is 4/1.

4 0
3 years ago
Need to find shaded area of figure please help!
devlian [24]

Answer:

39 ft^2

Step-by-step explanation:

Find the area of the triangle and subtract the area of the square.

area of triangle = bh/2

area of square = s^2

shaded area = bh/2 - s^2

shaded area = (20 ft)(16 ft)/2 - (11 ft)^2

shaded area = 160 ft^2 - 121 ft^2

shaded area = 39 ft^2

7 0
3 years ago
An arithmetic sequence has a first term of 10 and a sixth term of 40. What is the 20th term of this sequence?
Aleks04 [339]
In An arithmetic sequence will add or subtract the same thing each time to find the next term. In this case we start with 10 and need to get to 40 on the 6th term. This is a difference of 30 that needs to be divided by 5 open spaces. You are adding 6 each time.

10, 16, 22, 28, 34, 40, _,_,_,_, 70, _,_,_,_,100,_,_,_, 124.

Another way to do this would be to look at the 5th term and multiply it by 4 to get to the 20th term. 34 x 4 = 124.
6 0
3 years ago
Read 2 more answers
What is the slope of a line that is perpendicular to the line whose equation is 7x−3y=10?
Sonja [21]

Since this equation is already in standard form, there is no need to convert it. Standard form is Ax + By = C. In this equation, 7 = A, 3 = B, and 10 = C. From standard form, Ax + By = C equals negative A over B.

7x + 3y = 10

↓

\displaystyle\ m= \frac{-7}{-3}

Then you'd simplify.

\displaystyle\ m=\frac{7}{3}

The slope cannot be simplified any more, so this would be the final answer.

|

|

<em>- Marlon Nunez</em>

7 0
3 years ago
Triangle A E C is shown. Line segment B D is drawn near point C to form triangle B D C.
AVprozaik [17]

∠BDC and ∠AED are right angles, is  a piece of additional information is appropriate to prove △ CEA ~ △ CDB

Triangle AEC is shown. Line segment B, D is drawn near point C to form triangle BDC.

<h3> What are Similar triangles?</h3>

Similar triangles, are those triangles which have similar properties,i.e. angles and proportionality of sides.

Image is attached below,
as shown in figure
∡ACE = ∡BCD ( common angle )
∡AED = ∡BDC ( since AE and BD are perpendicular to same line EC and make right angles as E and C)
∡EAC =- ∡DBC ( corresponding angles because AE and BD are parallel lines)

Thus, △CEA ~ △CDB , because of the two perpendiculars AE and BD.

Learn more about similar triangles here:
brainly.com/question/25882965

#SPJ1


3 0
2 years ago
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