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GuDViN [60]
3 years ago
14

The population of San Francisco is growing t a rate of 2.5% per year. If the current population is 884,363, what will the popula

tion be in 2035?
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0

Answer:

1312842

Step-by-step explanation:

The year is 2019. 2035 - 2019 = 16 years

The equation for growth is:

initial_amount * (( 1 + percent_in_decimal_form) ^ years)

So now substitute numbers in the equation.

884363 * ((1 + 0.025) ^ 16) = 1312841.8 = 1312842

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X2 + 8x + 19 = 0 What is the equivilent that results from completing the square?
IrinaVladis [17]

Answer:

(x+4)^2+3=0

Step-by-step explanation:

Hey there!

Standard form is what this equation is in

Standard form is this: ax^2+bx+c

So order to complete the square, you need to take the b term out of the equation, divide it by two, and then square it

In this case, the b term is 8

We need to divide 8 by 2 ---> 4

Then square 4 ---> 16

So now you should add 16 to both sides

x^2+8x+16+19=16

Now you can simplify the LHS

(x+4)^2 +19=16

Now you subtract 16 from both sides

(x+4)^2+3=0

So this is as far as you can go since you cannot take the square root of a negative number

5 0
2 years ago
Fig., QR is a common tangent to the given circles,
Citrus2011 [14]

Answer:

QR = 7.6 cm

Step-by-step explanation:

By theorem of tangents drawn from an external point to a circle,

"Tangents drawn from an external point to a circle are equal in measure"

By this property,

PQ = PT = 3.8 cm

And PR = PT = 3.8 cm

Since, QR = PQ + PR [By segment addition postulate]

QR = 3.8 + 3.8

QR = 7.6 cm

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