Find the exact value of x

The population of deer at time t=3 years is approximately 4128 deer.

An exponential function is a mathematical function of the form [tex]f(x) = a^x[/tex], where a is a positive constant called the base, and x is the input variable. The exponent x represents the power to which the base a is raised.

The rate of growth of the deer population is given by the function [tex]R(t) = 2000e^{(0.231t)}[/tex], where t is the time in years since t=0.

To find the population at time t=3, we need to evaluate R(3) using the given function:

[tex]R(3) = 2000e^{(0.231\times 3)[/tex]

[tex]R(3) = 2000e^{0.693}[/tex]

R(3) ≈ 4127.72

Therefore, the population of deer at time t=3 years is approximately 4128 deer.

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Answer:

Just the fraction parts: 11/8 or 1 3/8

Step-by-step explanation:

1 5/8 + 1 6/8 = 3 3/8

Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

$400

Step-by-step explanation:

The future value of the investment increase will be $6,028.98.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Given:

P = $3000

R = 7%

T = 10 years

r = R/100

r = 7/100

r = 0.07 rate per year,

Then solve the equation for A

A = P[tex](1 + r/n)^{nt[/tex]

A = 3,000.00[tex](1 + 0.07/12)^{(12)(10)[/tex]

A = 3,000.00[tex](1 + 0.0058333333333333)^{(120)[/tex]

A = $6,028.98

Hence, the future value will be $6,028.98.

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Answer:

It's geometric and common difference is 3

Step-by-step explanation:

15/5=3

45/15=3

Answer:

its geometric and the common ratio is 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of a figure dependents from the value of "π"

So, it can be 1374.45 ft³ or 1375 ft³

✏--------------

[tex]Given:- \\\\R_15~ft\\\\R_2=2\\\\v=88[/tex]

[tex]\frac{R_1}{R_2} =\frac{5}{2}[/tex]

[tex]\frac{(R_1)^3}{(R_2)^3} =\frac{v_1}{v_2}[/tex]

[tex]\frac{5^3}{2^3} =\frac{v_1}{88}[/tex]

[tex]8v_1=11,000[/tex]

[tex]v_1=1375ft^3[/tex]

hope it helps...

have a great day!!

Answer:

45.5

Step-by-step explanation: NUN

Answer:

Yes, that's correct

Step-by-step explanation:

Answer:

Ok 9-8=1 times 2 = 2

Step-by-step explanation:

Answer:

x^3−5x+3x^2−15

Step-by-step explanation:

Common math

Answer:

The second graph, the extreme v

Step-by-step explanation:

We know that y=4x passes through 4 on 1. When absolute valued, we add the graph y=-4x. This gives us the graph second to the right.

By the way, can you follow me?

Thanks

Answer:

[tex]Rate = -2h-1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -2x^2 + 3x - 7[/tex]

[tex]Interval: [1,1+h][/tex]

Required

The average rate of change

This is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where:

[tex][a,b] = [1,1+h][/tex]

So, we have:

[tex]Rate = \frac{f(1+h) - f(1)}{1+h - 1}[/tex]

[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]

Calculate f(1+h) and f(1)

[tex]f(x) = -2x^2 + 3x - 7[/tex]

[tex]f(1) = -2 * 1^2 + 3 * 1 - 7 = -6[/tex]

[tex]f(1+h) = -2 * (1+h)^2 + 3 * (1+h) - 7[/tex]

Evaluate squares and open bracket

[tex]f(1+h) = -2 * (1+h+h+h^2) + 3+3h - 7[/tex]

[tex]f(1+h) = -2-2h-2h-2h^2 + 3+3h - 7[/tex]

[tex]f(1+h) = -2-4h-2h^2 + 3+3h - 7[/tex]

Collect like terms

[tex]f(1+h) = -2h^2-4h +3h-2+ 3 - 7[/tex]

[tex]f(1+h) = -2h^2-h-6[/tex]

So, we have:

[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]

[tex]Rate = \frac{-2h^2-h-6 - -6}{h}[/tex]

[tex]Rate = \frac{-2h^2-h-6 +6}{h}[/tex]

[tex]Rate = \frac{-2h^2-h}{h}[/tex]

Factorize the numerator

[tex]Rate = \frac{h(-2h-1)}{h}[/tex]

Divide

[tex]Rate = -2h-1[/tex]

Answer:

I think the answer of this question is,

Step-by-step explanation:

The 20th term may be 1048576

Answer: I think its B

Step-by-step explanation: hoped this helped :)

Answer:

The values of g(x): 2,8,2. So now what would the answer be then

Step-by-step explanation: h'(1)=f''(g(1))g'(1)=6f'(2)=6*5=30

Answer:

Step-by-step explanation:

When you shift up or down, the function gets added to or subtracted from the expression on the right of the y value.  Put in simpler language, for this question, the equation becomes.

g(x) = f(x) + 13

And the solution is

g(x) = ln(x) - 1 + 13

g(x) = ln(x) + 12

Answer:

26/5

Step-by-step explanation:

an=a1+(n-1)d

d is common difference

so,

2/5- (-2)=12/5

putting values in above formula

 =-2+(4-1)(12/5)

=-2+3(12/5)

=-2+(36/5)

=26/5

mary is the 4th childs nam,e

Answer:

Step-by-step explanation:

The pink figure has dimensions:

The blue figure has dimensions:

The scale factor is the ratio of corresponding sides:

The area's scale factor is

The area of the reduced figure is:

note. It was answered based on the additional information given in the comments (though 41 mm should be 42 mm)

26mm² is area of complex figure.

Answer:

solution:in rectangle

length[l]=6mm

breadth [b]=4mm

area of rectangle=l×b=6×4=20mm²

again in triangle

height[h]=6/2=3mm

base[b]=4mm

area of triangle =1/2 b×h=1/2×3×4=6mm²

total area of composite figure=20mm²+6mm²

=26mm²

Answer:

2961.63

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.12/100

r = 0.0212 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 2,500.00(1 + 0.0212/12)(12)(8)

A = 2,500.00(1 + 0.001766667)(96)

A = $2,961.63

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $2,500.00 at a rate of 2.12% per year compounded 12 times per year over 8 years is $2,961.63.

Answer:

I=$424

Step-by-step explanation:

I=PRT

I=2500×8×0.0212

I=$424

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Answer:

The answer is "789.03 and 806.16".

Step-by-step explanation:

[tex]y\^ \ \ = -0.45 + 3.78(x) -11.88(d_1) + 5.25(d_2)[/tex]

For point a:

Calculating the value for [tex]y\^ \ \ x = 212,\ \ d_1 = 1, and \ \ d_2 = 0[/tex]

[tex]y\^ = -0.45 + 3.78(212) -11.88(1) + 5.25(0)[/tex]

     [tex]= -0.45 + 801.36 -11.88 + 0\\\\= 789.03[/tex]  

For point b:

Calculating the value of [tex]y\^ \ \ for \ \ x = 212, \ \ d_1 = 0, and \ \ d_2 = 1[/tex]

[tex]y\^ = -0.45 + 3.78(212) -11.88(0) + 5.25(1)[/tex]  

    [tex]= -0.45 + 801.36 -0 + 5.25\\\\= 806.16[/tex]

Answer:

it goes 0 then 1/4 in the first notch 1/2 in the second notch 3/4 in the third notch then the number 1 on the fourth

Step-by-step explanation:

Hope that helps.

Answer:

i think the answer is c but im soo sorry if im wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+ y = 0  

and

-2x + 5y + 2 = 0

Step-by-step explanation:

given line

3x+5y+2=0

5x+3y-2=0

solution

when two line bisect each other then line equation of bisector is express as

  1

and here

A1 = 3

B1  = 5

C1 = 2

and

A2 = 5

B2  = 3

C2 = -2

so now put value in equation 1 we get

solve it we get

-2x + 5y + 2 = 0   1

and

3x+5y+2 = - ( 5x+3y-2 )

solve it we get

8x + 8y = 0

x + y = 0  2

Answer: D -12x +12y -2 =0

Step-by-step explanation:

Edge 2021

Answer:

-1 is the correct answer

Step-by-step explanation:

Move that many points on the number line

The position of B on number line is at - 1.

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

Point A is shown on the the number line below.

And, Another point, B , is to be placed on the number line and will be 2 1/2 unit from point A.

Now,

Since, The position of Point A = 1 1/2

And, Another point, B , is to be placed on the number line and will be 2 1/2 unit from point A.

So, The point B = 1 1/2 + (-2 1/2)

                        = 3/2 - 5/2

                        = - 2/2

                        = - 1

Thus, The position of point B = - 1

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Answer:

Step-by-step explanation:

Let the depreciation rate is x per year, then we have:

Exponential function for this case is:

Value of the car after 3 years:

Answer:

2 3/5 :)

Step-by-step explanation:

Answer:

The resulting matrix will be 11 * 7

Step-by-step explanation:

Given

Matrices 11 * 6 multiplied by 6 * 7

Required

The dimension of the resulting matrix

When a matrix a * b is multiplies by a matrix b * c, the resulting matrix will be: a * c

In this case:

[tex]a * b = > 11 * 6[/tex]

[tex]b * c => 6 * 7[/tex]

So, the resulting matrix will be:

[tex]a * c => 11 * 7[/tex]