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3 years ago

I will give brainiest to whoever answers correctly !!

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

4 0

Answer:

The country's population decreased about 5.8 % during this time period.

Step-by-step explanation:

Population in 1990 = 164 million

Population in 2010 = 155 million

Determine the percent decrease

The formula used is: $Percent\:Decrease=\frac{Initial\:Value-New\:Value}{New\:Value}\times 100$

We have :

Initial Value = 164 million (164,000,000)

New Value = 155 million (155,000,000)

Finding percent decrease

$Percent\:Decrease=\frac{Initial\:Value-New\:Value}{New\:Value}\times 100\\Percent\:Decrease=\frac{164,000,000-155,000,000}{155,000,000}\times 100\\Percent\:Decrease=\frac{9,000,000}{155,000,000}\times 100\\Percent\:Decrease=5.8\%$

So, The country's population decreased about 5.8 % during this time period.

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Smallville had a population of 5,000 people. Every week half of the people move away from smallville. After T weeks less than 16

ANEK [815]

Answer:

5000(0.5^T) < 160

7 0

3 years ago

Read 2 more answers

How do i write an exponential equation with a vertical asymptote other that y=0

antiseptic1488 [7]

Lets say we have
P(x)/q(x)

vertical assymtotes are in the form x=something, not y=0
y=0 are horizontal assemtotes

so verticall assymtotes
reduce the fraction
set the denomenator equal to zero
those values that make the deomenator zero are the vertical assymtotes

the horizontal assymtote
when the degree of P(x)<q(x), then HA=0

when the degree of P(x)=q(x), then divide the leading coefient of P(x) by the leading coeficnet of q(x)
example, f(x)=(2x^2-3x+3)/(9x^2-93x+993), then HA is 2/9

ok so for vertical assymtote example
f(x)=x/(x^2+5x+6)
the VA's are at x=-3 and x=-2

horizontal assymtote
make degree same
f(x)=(3x^2-4)/(8x^2+9x),
the HA is 3/8
hope I helped, read the whole thing then ask eusiton

6 0

4 years ago

Joshua uses the Small Business Administration (SBA) Loan Program to obtain a loan to help expand his vending machine business. J

TiliK225 [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

Principal amount Joshua borrowed, P = $ 25000

rate of interest, r = 1.5 %

time, t = 2 years

simple interest = $\frac{P*r*t}{100}$

simple interest = $\frac{25000*1.5*2}{100}=750$

Means $ 750 will be the interest of Joshua's loan.

So, Joshua needs to repay the SBA = $25000+750=25750$

Hence, Joshua will repay $ 25750 to SBA after two years. : Answer

Hope it will help :)

5 0

4 years ago

Let us have four distinct collinear points $a,$ $b,$ $c,$ and $d$ on the cartesian plane. the point $c$ is such that $\dfrac{ab}

Deffense [45]

Start with a line segment connecting two points, A and B. $\dfrac{DA}{BA}=3$ means DA is 3 times longer than BA. Clearly, D cannot fall between A and B because that would mean DA is shorter than BA. So there are two possible locations where D can be placed on the line relative to A and B.

But with $\dfrac{DB}{BA}=2$ , or the fact that DB is 2 times longer than BA, we can rule out one of these positions; referring to the attachment, if we place D to the left of A, then DB would be 4 times longer than BA.

Finally, $\dfrac{AB}{CB}=\dfrac12$ , so that CB is 2 times longer than AB. Again we have two possible locations for point C (it cannot fall between A and B), but one of them forces C to occupy the same point as D. However, A, B, C, D are distinct, so C must fall to the left of A.

Now let $d$ be the length of AB. Then the length of CD in terms of $d$ is $4d$ . We have the coordinates of C and D, and the distance between them is $\sqrt{(4-0)^2+(0-4)^2}=4\sqrt2$ . So

$4d=4\sqrt2\implies d=\sqrt2$

The slope of the line through C and D is

$\dfrac{0-4}{4-0}=-1$

and so the equation of the line through these points is

$y-4=-(x-0)\implies x+y=4$

So the coordinates of A are $(x,y)=(x,4-x)$ . The distance between C and A is $d=\sqrt2$ , so we have

$\sqrt{(x-0)^2+(4-x-4)^2}=\sqrt{2x^2}=|x|\sqrt2=\sqrt2\implies|x|=1$

Since A falls to the right of C (in the $x,y$ plane, not just in the sketch), we know to take the positive value $x=1$ . Then the $y$ coordinate is $y=4-1=3$ .