what is the percentage of this

Using the given function, it is found that:

a) 20 insects were discovered.

b) The population after 5 years will be of 417 insects.

As stated in the exercise, it is given by:

[tex]P(t) = \frac{60(1 + 0.4t)}{0.01t + 3}[/tex]

Item a:

[tex]P(0) = \frac{60[1 + 0.4(0)]}{0.01(0) + 3} = \frac{60}{3} = 20[/tex]

20 insects were discovered.

Item b:

5 years = 60 months, hence:

[tex]P(60) = \frac{60[1 + 0.4(60)]}{0.01(60) + 3} \approx 417[/tex]

The population after 5 years will be of 417 insects.

More can be learned about functions at https://brainly.com/question/25537936

your uncle left you with "x" total, which is the 100%, now, we also know that 408 is 12% of that, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 408& 12 \end{array} \implies \cfrac{x}{408}=\cfrac{100}{12}\implies \cfrac{x}{408}=\cfrac{25}{3} \\\\\\ 3x=10200\implies x=\cfrac{10200}{3}\implies x=3400[/tex]

Answer:

Asare is 17 and Felicia is 7.

Step-by-step explanation:

let x be felicia's current age and y be asare's age. The equation for their age is y=3x-4. If 3x-1 + x+3 = 30, that means that 4x+2=30, so 4x=28. If 4x=28, x=7. Felicia is 7 and 3*7-4=17.

Answer:

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

3^2 + 4^2 = x^2

9 + 16 = x^2

25

Now we need to find the square root of 25 :)

The answer is 5

X = 5

Have a great day!!

Please rate and mark brainliest!!

Answer:

B and B

Step-by-step explanation:

A = bh

A = 15 × 8

A = 120 in²

A = bh

A = 20 × 13

A = 260 in²

The area of the parallelogram shown are 120 in² and 260 in².

The area of a parallelogram is the product of the base and the height of the figure.

The area of a parallelogram = Base x Height

We are given that parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram

A = bh

A = 15 × 8

A = 120 in²

Now,

A = bh

A = 20 × 13

A = 260 in²

Learn more about the area;

https://brainly.com/question/1658516

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Answer:

(x+2)^2 = 9

Step-by-step explanation:

To complete the square we need to add 4 to both sides of the equation,

Why we add 4 to both sides? Because if we add it to one side only, the equation will turn into an inequation

x^2 + 4x + 4 = 5 + 4

x^2 + 4x + 4 = 9 and the factor of the expression is (x+2)*(x+2) = 9

(x+2)^2 = 9

Answer:

Model 1

Step-by-step explanation:

Answer:

you can search them up! Just search up fractions calculator

Step-by-step explanation:

Answer:

f = 8

Step-by-step explanation:

f(x) = x2/16 - 2x

f(8) = (8)2/16 - 2(8)

8f = 16/16 - 16

8f/8 = 16/8

f = 8

Answer:

The complement of 29° is the angle that when added to 29° forms a right angle (90° ).

Step-by-step explanation:

Hope this helps you!

Answer:

<E=<I (it is a rotated triangle of 180 degrees)

<F=<H (they are both right triangles)

<EGF=<IGH (vertical angles are congruent)

segment FE=segment IH (cpctc)

segment EG=segment HG (cpctc)

segment FG=segment IG (the little dashes on the segments mean that they are congruent.

Answer:

price of leather thingy= $2906.62
price of stereo system = $581.33

Step-by-step explanation:

final cost minus cost of total before adding the leather.
  21,365.20
- 18,240.00
= $3125.2

to find the exact price of the leather since the 7% tax was included in the price we mulitply by .93
3125.2 x .93 = 2906.62
we know the stereo is 1/5 of the price of the leather so we divide by 5 2906.63 ÷ 5 = 581.33

there u go! pls give brainliest :D

Answer:

37 Feet

Step-by-step explanation:

We can use Pythagoras Theorem to solve this:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]35^{2} +12^{2} =c^{2}[/tex]

[tex]1225+144=c^{2}[/tex]

[tex]1369=c^{2}[/tex]

[tex]\sqrt{1369} =c[/tex]

37 = c

Answer:

37 ft

Step-by-step explanation:

Use Pythagorean Theorem for right triangles to find the hypotenuse

35^2 + 12^2 = Ramp^2       ramp = 37 ft

51/5 × 17/4 ×2

=51/5 ×17/2

= 867/10

Answer:

You didn't attach a picture of the pentagon, but the perimiter can easily be found using one of the following formulae:

Step-by-step explanation:

P = 5s, where s is the length of a side

P = 2r × Sin(180/5), where r is the radius

Answer:

84°

Step-by-step explanation:

The central angle of a circle is twice any inscribed angle subtended by the same arc.

because AB is a diameter, we also know that the triangle angle at C is 90° (all the inscribed triangles with their baseline being a diameter are right-angled).

as always, the sum of all angles in a triangle is 180°.

so, we know the triangle angle at A is

180 - 90 - 48 = 42°.

this is also the inscribed angle of the arc BC.

the central angle for arc BC (that is what is requested here) is then twice that angle : 2×42 = 84°

Answer:

the answer is B

hope the answer may help you

Answer:

(0,-9) You have to substitute 0 for x and solve for y

Answer:

Yes

Step-by-step explanation:

If there are three measurements, then it will result in a triangle.

[tex]\textbf{Solve for u:}\\\\u(wf+v)=m+j\\\\\implies u = \dfrac{m+j}{wf+v}\\\\\textbf{Solve for f:}\\\\u(wf+v) = m+j\\\\\implies uwf+uv = m+j\\\\\implies uwf = m+j-uv\\\\\implies f=\dfrac{m+j-uv}{uw}[/tex]

Answer:

b)

Step-by-step explanation:

Question (a)

[tex]\sf let \ (x_1,y_1)=(3,-2)\\\\\sf let \ (x_2,y_2)=(6,2)[/tex]

[tex]\sf slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-(-2)}{6-3}=\dfrac43[/tex]

Point-slope formula: [tex]\sf y-y_1=m(x-x_1)[/tex]

Substituting m and point (3, -2) into the formula:

[tex]\sf y-(-2)=\dfrac43(x-3)[/tex]

[tex]\sf y+2=\dfrac43(x-3)[/tex]

Question (b)

Rewrite in standard form:

[tex]\sf y+2=\dfrac43x-4[/tex]

[tex]\sf \implies y=\dfrac43x-6[/tex]

[tex]\sf \implies 3y=4x-18[/tex]

[tex]\sf \implies -4x+3y=-18[/tex]

Answer:

1) y = 7 x = 7
2) y = 4.243 x = 4.243
3) y = 7.348 x = 7.348
4) y = 9 x = 9

Step-by-step explanation:

just use a calculator and put in the given information
search Right Triangle Side and Angle Calculator

Answer:

Below in bold.

Step-by-step explanation:

1. This is an isosceles right angled triangle.

x = y.

The ratio of the sides in this triangle are 1:1:√2

So 1/√2 = x / 7√2

√2 x = 7√2

x = 7.

y = 7.

The other 3 are solved in a similar way as they are all isosceles right angled triangles:

2. b = 6 and a = 6√2.

3. 1 / √2 = x / 6√3

√2 x =  6√3

x  = 6√3 / √2

x = 6√3 * √2 / 2

= 3√6

y = 3√6.

4.  x = y = 9.

Answer:

50/33 is the answer that needs to written. Yes this is the simplest form.

Answer:

50/33

Here you go

450.46497

[tex]We\ know\ that:[/tex]

[tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex]

________________________________________________

[tex]Substitute[/tex] [tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex][tex]into\ formula[/tex]

[tex]F=P*(1+r/n)^n^t\\ F=400\bullet(1+2\bullet\frac{1}{100})^6[/tex]

_________________________________________________

[tex]Evaluate\ the\ equation/expression:\\ 450.46497[/tex]

I hope this helps you

:)

Answer:

20%

Step-by-step explanation:

A=R^2

120/100

=1.2

1.2R= new value of R

original of R=R

A^1/2=R

change/origionalx100%

(1.2A^1/2-A^1/2)

-------------------- x 100%

A^1/2

A^1/2 (1.2-1)

--------------- x100%

A^1/2

0.2

---- x100

1

0.2x100

=20%

Answer:

The answer is 2/3 or 0.67 square foot.

Step-by-step explanation:

Now,

A = 6l²

A = 6 × (1/3)² ft

A = 6 × 1/9 ft

A = 6/9 ft

A = 2/3 square foot

Thus, The surface area of cube is 2/3 or 0.67 square foot.