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A zoologist studied the wild cat population of two islands during a four year span - Meow Island and Purr Island. She collected the following data about the population.



1. How would you describe the growth of each island ?

2. Which do you think will be modeled by a linear function ?

Answer:

8000 and 12,000

Step-by-step explanation:

Let the amount of money deposited in the 3% account be known as "x"

The amount of money deposited in the 6% account would be "20,000 - x" (aka the remaining amount of money not put into the first account)

3% Interest -> 0.03 *

6% Interest  -> 0.06 *

0.03 * x + 0.06 * (20,000 - x) = 960

0.03x + 1200 - 0.06x = 960

-0.03x = -240

x = 8000

20,000 - x

20,000 - 8000 = 12000

Answer:

96 cm²

Step-by-step explanation:

From the question,

s = (2πr∅/360)+2r................. Equation 1

Where s = Perimeter of a sector, r = radius, ∅ = angle subtend by the sector at the center of the circle.

Given: s = 40 cm, r = 8 cm

Constant : π = 3.14.

Substitute into equation 1 and solve for ∅

40 = (2×8×3.14×∅/360)+(2×8)

40 = (50.24∅/360)+16

40-16 = 50.24∅/360

50.24∅/360 = 24

50.24∅ = 24×360

50.24∅ = 8640

∅ = 8640/50.24

∅ = 171.97°

Area of a sector (A') = ∅πr²/360

A' = 171.97×3.14×8²/360

A' = 95.997

A' ≈ 96 cm²

Answer:

25ft

Step-by-step explanation:

You take the bigger length of the two triangles and divide by the the smaller length of the smaller triangle. This is what the equation would look like:

30/6=5

Then you multiply 5 to the height of the smaller triangle and you got the height for the bigger triangle:

5 x 5=25

I hope this helped you!

Answer:

B. [tex] 200.5 \: {m}^{2} [/tex]

Step-by-step explanation:

Area of the composite figure = Area of square with side length 12 m + Area of semicircle with radius (12/2= 6) 6 m

[tex] = {(12)}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14(6)^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14 \times 36 \\ \\ = 144 + 56.52 \\ \\ = 200.52 \: {m}^{2} \\ \\ \approx \: 200.5 \: {m}^{2} [/tex]

Answer:

Option A

Step-by-step explanation:

Range of a function is defined by the set of y-values (output values).

From the given graph,

Y-values of the exponential function given in the graph vary from y = -1 to y = ∞ (excluding both the points)

Therefore, Range of the given exponential function will be y > -1

Option A will be the correct option.

Answer:

150 inches

Step-by-step explanation:

C=2πr

2·π·24 ≈ 150.79645

Mrs. Lopez need to sew a piece of cloth whose length be 150.72 inches.

A circumference gives the length around a circular object, it is the perimeter used for the circular objects.

Given that a circular tablecloth has a radius of 24 inches, we need to find the length around it,

So, the length around a circular object is its circumference,

We know that circumference of the circular object = π × diameter,

Diameter = 2 × radius = 48 inches.

So, the length around the circular cloth = π × 48

= 3.14 × 48
= 150.72

Hence Mrs. Lopez need to sew a piece of cloth whose length be 150.72 inches.

Learn more about circumference, click;

https://brainly.com/question/28757341

#SPJ2

Answer:

18 OZ is better$1.75 to buy

Answer:

C

trust me that is my answer

Answer:

If she made LESS than $48, then she worked 5 hours. But If she made exactly $48, then she worked 6 hours.

Step-by-step explanation:

MARK ME BRAINLIEST?

Answer:

663

Step-by-step explanation:

the total number of students can be determined using this equation :

(total ratio of Chinese and Indian students / total ratio of students) x n = 468

total ratio of Chinese and Indian students = 4 + 8 = 12

total ratio of students 4 + 8 + 5 = 17

N = TOTAL NUMBER OF STUDENTS

12/17) x n = 468

multiply both sides of the equation by 17/12

n = 663

Answer:

(x-2)²+(y-3)²=5².

Step-by-step explanation:

1. the equation of line through points (5;7) and (2;-2) is:

[tex]\frac{x-5}{3} =\frac{y-7}{9}; \ => \ 3x-y-8=0.[/tex]

2. to find the equation of the line, which is perpendicular to the line 3x-y-8=0:

the vector (3;-1) is perpendicular to the line 3x-y-8=0 and it is the vector-pointer for the requred line, and if |n₁|*|n₂|=0 (where n₁ is normal vector to the line 3x-y-8=0 and n₂ is normal vector to the required line), then 3*x-1*y=0 (where 'x' and 'y' any numbers). x=1; y=3, then n₂(1;3), then the required line is x+3y+C=0, where C - is unknown number.

3. to find the equation of the line, which is perpendicular to the line 3x-y-8=0 and passes through the middle point of (5;7) and (2;-2):

middle point is (7/2;5/2), then after substitution of coordinates of the middle point into the equation x+3y+C=0 it will be 3.5+3*2.5+C=0, ⇒ C= -11.

the required equation is x+3y-11=0

4. to calculate the intersection point of x+3y-11=0 and 2x-y=1:

[tex]\left \{ {{2x-y=1} \atop {x+3y=11}} \right. \ => \ (2;3)[/tex]

the point (2;3) is the centre of the required circle.

5. to calculate the radius² of the required circle:

r²=(5-2)²+(7-3)² or r²=(2-2)²+(2+3)², then r²=5².

6. if the centre of the required circle is (2;3) and its r²=25, then it is possible to make up the equiation of the circle:

(x-2)²+(y-3)²=5².

Explanation 1:

Her guinea pig is

25 cm  long.

25 cm = 250 mm

Her fish is  40 mm long, so her guinea pig is longer than her fish by

25 cm − 40 mm = 250 mm − 40 mm = 210 mm= 21 cm

Explanation 2:

First, lets convert the length of Naomi's guinea pig from cm to mm.

1 cm=10 mm

We can multiply each side of the equation by 25 to obtain the length of the guinea pig in mm.

25 × 1 cm = 25 ×  10 mm

25 cm = 250 mm

Because we have a length of the guinea pig and the fish in a common metric we can subtract the two values: 250 mm − 40 mm = 210 mm The guinea pig is 210 millimeters longer than the fish. Or, if we want to convert this to centimeters we can divide by 10: 210 millimeters 10 = 21 centimeters

Hope this helps have a good day/night!

:21 ezz it is 21 centimeters

Answer:

28,980

Step-by-step explanation:

Easy claps my boiiiiiiiii

Hail Hydra

Answer:

The base of the banner is 30 centimeters.

Step-by-step explanation:

Area = base × height

Plug in the numbers:

127 1/2 = b × 4 1/4

Convert mixed fractions into improper fractions for easier calculations.

Improper fraction formula: (denominator × mixed number + numerator)/denoninator

(2 × 127 + 1)/2 = 255/2

(4 × 4 + 1)/4 = 17/4

Rewrite equation:

255/2 = b × 17/4

Isolate variable b by multiplying the reciprocal of 17/4 (which is 4/17).

1020/34 = b

Simplify.

30 = b

Answer:

6

Step-by-step explanation:

I found that the greatest common factor for those numbers is 6

Answer:

16.8km

Step-by-step explanation:

Arc length = 2πr(θ/360)

=2π(8)(120/360)

=16.7551608191

≈16.8km

Answer:

16.8 km

Step-by-step explanation:

Arc length = 2πr (θ/360)

So plug in the values:

2π(8)(120/360)      =        16π(1/3)      =       16π/3

16.75516 ——————> 16.8 km

Answer:

N/A

Step-by-step explanation:

Get the Desmos graphing calculator app. it is very helpful when graphing and needing to be able to compare functions

Surface area is 1256.64

Answer:

what is this ?!?!?!?!

Step-by-step explanation:

btw can u be more specific so i can properly help u

Answer:

155.5 is the answer

Step-by-step explanation:

Answer:

The correct answer is A) [tex]99.0 \ in.^{2}[/tex]

Step-by-step explanation:

Just took the test

hope this helps :)

Answer:

Area of the composite figure = 84 in²

Step-by-step explanation:

Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH

Area of rectangle DEFG = DE × EF

                                        = 5 × 10

                                        = 50 in²

From ΔBHA,

AB = ED = 5 in [Given]

AH = FA - (GH + FG)

     = 15 - (7 + 5)

     = 15 - 12

     = 3 in.

By applying Pythagoras theorem in ΔABH,

AB² = HB² + AH²

5² = HB² + 3²

25 - 9 = HB²

HB = √16

HB = 4 in

Area of rectangle BCGH = BC × HB

                                         = 7 × 4

                                         = 28 square in.

Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]

                                   = [tex]\frac{1}{2}(BH)(AH)[/tex]

                                   = [tex]\frac{1}{2}(4)(3)[/tex]

                                   = 6 in²

Therefore, area of the composite figure = 50 + 28 + 6

                                                                  = 84 in²

Answer:

6,0

Step-by-step explanation:

Answer:

b is increased by 17% : A and E

b is decreased by 17%: H and J

Step-by-step explanation: took the test

Answer:

The answer is B

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

1/2÷4=

1/2×1/4=1/8

Answer:

1/8= 0.125

Step-by-step explanation:

1/2÷4

1/2 x 4 = 1/8

The answer to 1/2 divided by 4 in fraction form is: 1/8.

Answer:

-2

Step-by-step explanation:

I'm not 100% sure but...

The x-intercept is when the y is 0.

And if we look at the coordinate plane, then we see that the x-intercept is two units down, and y is zero, which means that it would probably mean that the x-intercept is -2.