WILL MARK BRAINLIEST suppose a-1/a=5. Find a^2 + 1/a^2

Answer:

(a) The population in 2000 is 450

(b) 15% decreases each year

Step-by-step explanation:

Given

[tex]P = 450(0.85)^t[/tex] --- since 2000

[tex]P \to Population[/tex]

[tex]t \to years[/tex]

Solving (a): The population in 2000

First calculate t

[tex]t = 2000 - 2000[/tex] --- years since 200

[tex]t = 0[/tex]

So, we have:

[tex]P = 450(0.85)^t[/tex]

[tex]P = 450 * 0.85^0[/tex]

[tex]P = 450 * 1[/tex]

[tex]P = 450[/tex]

Solving (b): Rate of population decrease

A function that decreases is represented as:

[tex]P(t) = a(1 - r)^t[/tex]

Where

[tex]r \to[/tex] rate of decrement

Compare [tex]P(t) = a(1 - r)^t[/tex] and [tex]P = 450(0.85)^t[/tex]

[tex]1- r = 0.85[/tex]

Collect like terms

[tex]r = 1 - 0.85[/tex]

[tex]r = 0.15[/tex]

Express as percentage

[tex]r = 15\%[/tex]

Answer:

Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.

Step-by-step explanation:

Answer:

[tex]B=48.7\\[/tex]

[tex]c=61.3[/tex]

[tex]b=12[/tex]

Step-by-step explanation:

Using sines law for triangles,

[tex]\frac{15}{sinA} =\frac{14}{sinc} =\frac{b}{sinB} \\\\A= 70[/tex]

⇒ [tex]\frac{15}{sin70} =\frac{14}{sinC} =\frac{b}{sinB}[/tex]

⇒ [tex]\frac{15}{0.9397} =\frac{14}{sinC}=\frac{b}{sinB}[/tex]

⇒ [tex]15.9625=\frac{14}{sinC}[/tex]

⇒ [tex]SinC=\frac{14}{15.9625}=0.8771[/tex]

⇒ [tex]C=Sin^{-1}(0.8771)=61.29[/tex]

⇒ [tex]C=61 ~ or ~ 61.30[/tex]

[tex]\frac{b}{Sin B}=15.9625[/tex]

Now sum of angles a Δ is 180°

A+B+C=180°

[tex]70+B+61=180[/tex]

[tex]B=180-131=49~ or ~ 48.7[/tex]

[tex]b=sin(48.70)(15.9625)=(0.7547)*(15.9625)= 12.0[/tex]

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       hope it helps..

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Answer:

48

Step-by-step explanation:

jhus cross multiply 12*4=48

Answer:

x = 48

Step-by-step explanation:

x/4 = 12

4x/4 = x = 4(12) = 48

Check answer: 48/4 = 12

Answer:

2000 feet

Step-by-step explanation:

200*2=400

800*2=1600

400+1600=2000

Answer:

x=6

15x - 24 = 1/3x + 4 + 10x

=

45x - 72 = x + 12 + 30x

=

45x - 72 = 31x + 12

=

45x - 31x = 12 + 72

=

14x = 84

=

x = 6

Answer:

15x - 4y =-50 -----(i)

3x - 2y=-16 --------(ii)

Using Substitution

From (i)

15x=4y-50

x=4y-50/15

Substitute x=4y-50/[15] into eqn (ii)

3x - 2y= -16

3[4y-50]/15 - 2y =-16

Multiply through by 15 to clear the fraction

3(4y - 50) - 30y=-240

12y - 150 -30y=-240

12y-30y=-240+150

-18y = -90

y=90/18

y=5.

Substitute into any eqn of choice to get x

3x - 2y=-16

3x - 2(5)=-16

3x - 10=-16

3x=-16+10

3x=-6

x=-6/3

x=-2.

x= -2

y=5

Answer:

B) 81.96°

Step-by-step explanation:

40.67 - (-41.29)

40.67 + 41.29 = 81.96

Answer:

yes

Step-by-step explanation:

$60×25%=$15...so the coupon she have worth $15 but she also have $50

so she has an overall of $65 she can use

but she must pay sales tax:$60×6,75%=$4.05

so then the overall money that she must pay for the printer is $60+$4.05=$64.05

so then the difference of her money and the price of the printer is:

$65-$64.05=$0.95

$0.95 is left over

Answer:

3/4 of a pizza leftover.

Step-by-step explanation:

2 7/12 + 2/3 = 3 1/4

4 -  3 1/4 = 3/4

so 3/4 of 1 pizza is left.

Answer:

36 Cubic Units

Step-by-step explanation:

Volume of a cube: Length x Width x Height

4 x 3 x 3 = 36

Answer:

around 5,-5

Step-by-step explanation:

since its gona move 3 units up and 3 units left

Answer:

5.49 inches

Step-by-step explanation:

Given data

Circumference= 34.48inches

The expression for the circumference of a circle is

C= 2πr

Make r the subject of formula

r= C/2π

r= 34.48/2*3.14

r= 34.48/6.28

r= 5.49 inches

Hence the radius is  5.49 inches

Answer:

y=6x-14

Step-by-step explanation:

m=-8-(-2)/1-2

m=-8+2/1-2

m=-6/-1

m=6

y-y1=m(x-x1)

y-(-2)=6(x-2)

y+2=6x-12

y=6x-2-12

y=6x-14

Answer:

Symmetric, If you fold the graph along the median, the point will almost match.

Step-by-step explanation:

The dot plot shows an approximately normal distribution with the peak being approximately in the centre and the tail shared to either sides of the peak. The median seem to reside at the centre of the distribution as well.

The median = 1/2(n+1)th term

n = 12

1/2(13)th term

Median = 6.5 term

Median = (6+6) /2 = 12/2 = 6

Answer: 118

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3,5 to find it first go over then go up and you have your answer

Answer:

The answer is (5, -3)

Hope this helps!

Mark me brainliest if I'm right :)

Answer:

Step-by-step explanation:

'Area of a square' formula is A = s^2, where s in the length of one side.

Here, with s = 4 cm, A = 16 cm^2

Answer:

2x + 9 = 21

Step-by-step explanation:

Looking at option C;

2x + 9 = 21

Step 1: Subtract 9 from both sides

2x+9 - 9 = 21 - 9

2x = 12

Step 2: divide both sides by 2

2x/2 = 12/2

x = 6

Hence the expression which is a two-step equation is 2x + 9 = 21 since we arrived at the solution in two steps

Answer:

First number = 19

Second consecutive = 20

Third consecutive = 21

Step-by-step explanation:

Assume;

First number = x

So,

Second consecutive = x + 1

Third consecutive = x + 1 + 1 = x + 2

So,

(x + 2)² - x² = 80

x² + 2(2)(x) + 2² - x² = 80

x² + 4x + 4 - x² = 80

4x + 4 = 80

4x = 80 - 4

4x = 76

x = 76 / 4

x = 19

First number = x

First number = 19

Second consecutive = x + 1

Second consecutive = 19 + 1

Second consecutive = 20

Third consecutive = x + 2

Third consecutive = 19 + 2

Third consecutive = 21

Answer:

C)  $84

Step-by-step explanation:

40 x 14 = 560

she made $560 prior to raise

14 x 1.15 = 16.10

her new hourly rate is $16.10

40 x 16.1 = 644

she now earns $644 per week

644 - 560 = 84

Answer:

Measure of arc SR = 62°

Step-by-step explanation:

By using the property,

"Measure of an arc of the circle is double of the measure of the angle subtended by the arch."

m∠SUR = [tex]\frac{1}{2}m(\text{arc SR})[/tex]

m(arc SR) = 2m∠SUR

                 = 2(31°)

                 = 62°

Answer:

A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps.

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

you can see that it's increasing by 50 for each line

4*50=200

Answer:

hey there buddy

Step-by-step explanation:

Answer:

G. Angle NKL is congruent to angle ZWX is the answer

Step-by-step explanation:

Hope it helps you:)