can i please get some help on this?

Answer:

7.35 Million

Step-by-step explanation:

So you already have the function and all you have to do is find the years.

p(t)=3.98(1.02)^t

I'm thinking that you should find the difference between 2021 and 1990. The answer would be 31 and just substitute that from t.

p(t)=3.98(1.02)^31

From here you would jut plug this function into your calculator and get a final answer of:

7.35 Million

Hope this helped :)

Answer:

10 miles per hour

Step-by-step explanation:

20 divided by 2 = 10

[tex] \tt : \implies \dfrac{x+2}{x-2} + \dfrac{x-2}{x+2} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{(x+2)(x+2) + (x-2)(x-2)}{(x-2)(x+2)} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{(x+2)^{2} + (x-2)^{2}}{(x-2)(x+2)} = \dfrac{5}{6}[/tex]

Now, we know that :

[tex] \tt : \implies \dfrac{x^{2}+2^{2}+ 2 \times x \times 2 + x^{2}+2^{2} - 2 \times x \times 2 }{x^{2}-2^{2}} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{x^{2}+ 4 + \cancel{4x} + x^{2}+ 4 - \cancel{4x}}{x^{2}-4} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{x^{2} + x^{2} + 4 + 4}{x^{2}-4} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{2x^{2} + 8}{x^{2}-4} = \dfrac{5}{6}[/tex]

By cross multiply :

[tex] \tt : \implies (2x^{2} + 8)6= 5(x^{2}-4)[/tex]

[tex] \tt : \implies 12x^{2} + 48 = 5x^{2}-20[/tex]

[tex] \tt : \implies 12x^{2} + 48 - 5x^{2} + 20 = 0[/tex]

[tex] \tt : \implies 7x^{2} + 68 = 0[/tex]

[tex] \tt : \implies 7x^{2} + 0x + 68 = 0[/tex]

Now, by comparing with ax² + bx + c = 0, we have :

By using quadratic formula :

[tex] \large \underline{\boxed{\bf{x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}}}}[/tex]

[tex] \tt : \implies x = \dfrac{-(0) \pm \sqrt{(0)^{2} - 4(7)(68)}}{2(7)}[/tex]

[tex] \tt : \implies x = \dfrac{0 \pm \sqrt{0 - 1904}}{14}[/tex]

[tex] \tt : \implies x = \dfrac{\pm \sqrt{- 1904}}{14}[/tex]

[tex] \tt : \implies x = \dfrac{\pm \sqrt{2\times 2\times 2\times 2\times 7\times 17}}{14}[/tex]

[tex] \tt : \implies x = \dfrac{\pm \cancel{2} \times 2\sqrt{7\times 17}}{\cancel{14}}[/tex]

[tex] \tt : \implies x = \dfrac{\pm2\sqrt{119}}{7}[/tex]

[tex] \large \underline{\boxed{\bf{x = \dfrac{\pm 2\sqrt{119}}{7}}}}[/tex]

Hence value of [tex] \bf x =\dfrac{\pm 2\sqrt{119}}{7}[/tex]

Answer:

I think this answer is right if no tell me please :)

Answer:

12 z

22.5x or 3 meybe

where Y?????

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm going to assume that y is the length of the red line.

Step-by-step explanation:

9x + 1 = x + 9

9x - x = 9 - 1

8x = 8

x = 1

Answer:

it would be ( 0 , − 10 ) , ( 1 , − 7 ) , (2 , − 4 )

Step-by-step explanation:

Choose three values for  x and substitute in to find the corresponding  y  values.

119 + 1 + 3 + 5 =            add that if i am wrong sorry but have  a nice day <3

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

i dont know

Answer:

i dont see anything wheres the picture

Step-by-step explanation:

Answer:

1.414

Step-by-step explanation:

Answer:

B= -3/4

Step-by-step explanation:

there are two points given substitute them in the formula of the slope

9514 1404 393

Answer:

Step-by-step explanation:

a) The circumference of the circle is given by ...

  C = πd

  C = (3.14)(5.5 mi) = 17.27 mi

The distance around the lake is about 17.27 miles.

__

b) The area is given by ...

  A = πr^2 . . . . . where r = d/2

  A = (3.14)(2.75^2) ≈ 23.75 . . . . square miles

The surface area of the lake is about 23.75 square miles.

_____

If you use a more exact value of pi (the "pi button" for example), then the hundredths digit increases by 1 in each case: 17.28, 23.76.

Answer:

B.31

Step-by-step explanation:

That's the answer.

Answer:

x = 31

Step-by-step explanation:

By Linear Pair

3x + 31 + 2x - 6 = 180

5x + 25 = 180

5x = 155

x = 31 Answer

Answer:

275.6

(275 for whole trees)

Step-by-step explanation:

Answer:

the triangle consists 180 degree

so , açording to me the must be like this

Step-by-step explanation:

hope it becomes helpful to you ☺️☺️

good luck

Answer:

43

Step-by-step explanation:

you plug in the values

3m^2 + 2p^2 - 15

= 3(3)^2+2(10)^2-15

= 3×9+2×100-15

= 27+200-15

= 227-15

= 212

Just subtitute the value of m and p to the equation

Hope it help u :)

Answer:

-3y+18

Step-by-step explanation:

-3 x y = -3

-3 x -6 = 18

-3y + 18

Hope that helps!

Answer:

y = -15x + 35

Step-by-step explanation:

3x + 1/5y = 7

1/5y = -3x + 7

y = 5( -3x + 7)

y = -15x + 35

Answer:

I think it is correct and is 1 and 2

Step-by-step explanation:

5×4^(x+1)-16^x=64

0=64+16^x-5×4¹×4^x

0=(4^x)²-2×4^x×10+10²-10²+64

0=(4^x-10)²-36

(4^x-10)²=36

4^x-10=√36

4^x=+-6+10

when positive

4^x=4²

:.x=2

when negative

4^x=4

:.x=1

:.x=1,2 answer.

Answer:

The answer is -7

Step-by-step explanation:

I took the test! Hope this helps <3

Answer:

please help me

Step-by-step explanation:

then I will sure help you

thanku!!

Answer:

1584 cu in.

Step-by-step explanation:

Since the volume varies jointly with the radius and height we have an equation V = kr^2h where k is the constant of variation

28 = 2^2(7)k = 28k

k = 1

Now V = r^2h

V = (12)^2(11) = 144(11) = 1584 cu in.

Answer:

110

Step-by-step explanation:

They are equal to each other.

23x-5= 21x +5

2x = 10

x = 5

21(5) +5 = 110°

23(5) -5 = 110°

So it works. Angles are 110°

Problem 3

Explanation: The angles opposite the congruent sides, are congruent angles. We consider these the base angles. This triangle is isosceles.

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Problem 4

Explanation:

Refer to the diagram below. Note how I've added in the variable y and marked another angle as 53 degrees which is one of the base angles of the left triangle. The base angles of the triangle on the right are y degrees each. Also, note the vertical angles both are y.

For the left triangle, the three angles add up to 180 which means we can solve for y to go from 53+53+y = 180 to y = 74

Then the interior angles of the triangle on the right has the three angles (y,y,x) add to 180 as well. So we have y+y+x = 180 which turns into 74+74+x = 180. That solves to x = 32

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Problem 5

Explanation:

Refer to the diagram below. I've added another base angle x, and the angle 90-x is complementary to this. This is because the two pieces must add to 90.

For the triangle on the bottom, the two base angles 74 and 74, add to the third angle 90-x and we would get 180. So we solve 74+74+(90-x) = 180 to get x = 58

Answer:

3. x = 47

4. x = 32

5. x = 58

Step-by-step explanation:

Answer:

100/500 = 0.2

common ratio is 0.2