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Ainat [17]
3 years ago
6

Officials project that between 201020102010 and 205020502050, the population of a certain city will drastically change. The mode

l below gives the projection of the city's population , PPP, in thousands, with respect to time, ttt, in years, where 201020102010 corresponds to t=0t=0t, equals, 0. \quad P = 175 + \dfrac{11}{2}tP=175+ 2 11 ​ tP, equals, 175, plus, start fraction, 11, divided by, 2, end fraction, t What does the 175175175 mean in the equation?
Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer:

175 means the city's population is 175 thousands in 2010.

Step-by-step explanation:

The model below gives the projection of the city's population , P, in thousands, with respect to time, t, in years, where 2010 corresponds to t=0.

The given equation is

P=175+\dfrac{11}{2}t

We need to interpret 175 for the given model.

Substitute t=0 in the above equation.

P=175+\dfrac{11}{2}(0)

P=175

At t=0 the value of P is 175 it means the city's population is 175 thousands in 2010.

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What is the inverse of this equation f(x) = 1/4(x+3)^2+2
Masja [62]

Answer:

y = √(4x - 8) - 3

Step-by-step explanation:

y = 1/4(x + 3)² + 2

To find the inverse, switch the places of the x and y.  

x = 1/4(y + 3)² + 2

Solve for y.

x - 2 = (1/4(y + 3)² + 2) - 2

x - 2 = 1/4(y + 3)²

4(x - 2) = 4(1/4(y + 3)²)

4x - 8 = (y + 3)²

√(4x - 8) = √((y + 3)²)

√(4x - 8) = y + 3

√(4x - 8) - 3 = (y + 3) - 3

√(4x - 8) - 3 = y

y = √(4x - 8) - 3

4 0
4 years ago
Last year, Amy opened an investment account with $6800. At the end of the year, the amount in the account had increased by 23.5%
qaws [65]

Answer:

-The increase in dollars is $1598

-The amount in her account at the end of last year was $8398.

Step-by-step explanation:

To find the increase, you have to multiply the initial amount for the percentage increase:

6800*23.5%=1598

Now, to find the amount in her account at the end of last year, you have to add the initial amount plus the increase in dollars:

6800+1598=8398

According to this, the amount in her account at the end of last year was $8398.

4 0
3 years ago
Which of the following best describes a regular tessellation?A. A tessellation that uses only one type of regular polygonB. A te
Naya [18.7K]

Answer: A. A tessellation that uses only one type of regular polygon

Step-by-step explanation:

When we cover a surface with a pattern of a flat geometric shapes such that there should have no overlaps or gaps, then the surface is called a tessellation.

A regular tessellation is tessellation made up by using nly one type of regular polygon. These are made up of entirely congruent regular polygons all that joining vertex to vertex

Hence, A is the correct option.

8 0
3 years ago
Geoff earns 10% commission on his total sales at work..To pay for a concert ticket, Geoff needs to earn $135 in commission. What
statuscvo [17]

Answer:

$1350

Step-by-step explanation:

Percentage commision earned = 10%

Amount needed to pay for concert = $135

Hence, total sales for the week must be :

Let total sales = x

10% of total sales = $135

10/ 100 * x = $135

0.1x = $135

x = $135 / 0.1

x = $1350

6 0
3 years ago
Someone please help me <br> serious answers only!!!!
madam [21]
Hello!

We will plug in each ordered pair into the equation and see if it works.

A)
0=-9(0)
0=0
True

B)
18=-9(-2)
18=18
True

C)
-9=-9(-1)
-9≠9
False

D)
-27=-9(-3)
-27≠27
False

E)
-18=-9(2)
-18=-18
True

F)
36=-9(4)
36≠-36
False

You answers are A, B, and E.

I hope this helps!

6 0
3 years ago
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