a philanthropist deposits 2,000$, in a trust fund that pays 6.0%interest , compunded continuously. The balance given to the college from which the has earned interest for 20 years. How much will the college receive? round to the nearest tenth

Answer:

21 is c 22 is b hope this helps

Step-by-step explanation:

Answer:

well for me

Step-by-step explanation:

I think it's 80-13 because it reduced by a minus 13

Answer:

1260°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

Number of sides n = 9

Step 2: Find

Answer:

a) 500

b) 9.6 years

Step-by-step explanation:

Population of Ilamas

a) P = 500 e ^0.035t

Find P when t = 0

Solving for P

P = 500 e ^0.035 × 0

P = 500 × e ⁰

P = 500 × 1

P = 500

The population of the Ilamas when t = 0 is 500

b ) Find t when P = 700

P = 500 e ^0.035t

700 = 500 e ^0.035t

Divide both sides by 500

700/500 = 500 e ^0.035t/500

7/5 = e ^0.035t

1.4 = e ^0.035t

Take In of both sides

In 1.4 = In (e ^0.035t)

In 1.4 = 0.035t

t = In 1.4/0.035

t = 0.3364722366/0.035

t = 9.6134924749 years

t = Approximately to the nearest tenth of a year = 9.6 years

Answer:

12

Step-by-step explanation:

Hi!

We're given that the perimeter is 76. A triangle's perimeter is given by the sum of all of the sides. So, we'll find the lengths of the sides of the triangle and add them.

This is an isosceles triangle. The legs of an isosceles triangle are equal. In this problem, we're given the length of one leg: 3x-4. That means that the length of the other leg is also 3x-4. Now, the last side of the triangle is x ("base is x).

2(3x-4) + x = 76

6x-8+x=76

7x-8=76

7x=84

x=12

Let's check our answer.

3(12) - 4 =36-4 = 32

32 times 2 = 64 +12 =76

Correct!

Answer:

C

Step-by-step explanation:

when x is negitive, y has an asitope of 0 so not a

when x is negitive, y has an asitope of 0 so not b

when x is positive, y does keep going down so c

when x is positive, y does keep going down and doesn't seem to be approching 0 so not d

Answer:

i think it is c or b but go with you gut feeling

Step-by-step explanation:

Answer:

y=3x+2

Step-by-step explanation:

First find the slope or m in the line of equation y=mx+b

to find slope you need two points, plug in to y2-y1 / x2-x1

so lets use points (0,2) (1,5)

5-2 / 1-0 = 3

m=3

we have y=3x + b

now we find b by pugging in a point, let's use (0,2)

2 = 3(0) + b

b= 2

y=3x+2

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Answer:

200 pages

Step-by-step explanation:

( number of pages) ×(2/5) = 80

Number of pages = 80 ÷(2/5)

Number of pages = 200

I think 88 problems were on the test.

Answer:

25

Step-by-step explanation:

Answer:

1.35

Step-by-step explanation:

13.50 divided by 10 = 1.35

Given,

CP of cosmetics = Rs 360 per dozen

SP of a pair of cosmetics = Rs 80

To find,

The gain percent

Solution,

1 dozen = 12 items

CP of 1 cosmetic = 360/12 = Rs 30

SP of 1 cosmetic = 80/2 = Rs 40

Profit = SP-CP

= Rs 40 - Rs 30

= Rs 10

Profit percentage is given by :

[tex]\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%[/tex]

So, the profit percentage is 33.34%.

Answer:

Step-by-step explanation:

It's 6n+750= $, so it's A.)

Answer:

16.97

Step-by-step explanation:

Answer:

[tex]N=\frac{8}{3}[/tex]

Step-by-step explanation:

The image below shows step-by-step on how to solve it.

Hope this helps! :)

Answer:

a) F(d)=350+0.06d

b)$390.2

Step-by-step explanation:

350+0.06(670)=390.2

Answer:

40$,160$ & 60

Step-by-step explanation:

First,find the equation using y-y1/ y1-y2=x-x1=x1-x2

y-0/0-20=x-0/0-3

y=20x/3

Now put the values of x& y in the equation, for the 1st one,

y=20×6/3

=40

2nd one.y=20×24/3

=160

3rd one,

400=20x/3

X=400×3/20

=60

The values at different number of tickets and the tickets that can be bought at $400 has been determined.

When a variable varies directly with the other variable, i.e. on increasing one variable the other variable also increases, this relation is called Direct Variation.

Let x represent the number of tickets sold

Let y represent the amount of money earned from ticket sales.

y ∝ x

y = kx

k is the proportionality constant.

The value in the table will be used to determine the value of k,

For 3 tickets, the ticket amount is $20

20 = k * 3

k = 20/3

The relation is given by

y = (20/3) x

For 6 tickets, the value will be,

y = (20/3 ) *6 = $40

For 24 tickets the value will be,

y = (20/3) * 24 = $160

For $400, how many tickets can be bought,

400 = (20/3) * x

400*3 /20 = x

60 tickets can be bought for $400

To know more about Direct Variation

https://brainly.com/question/14254277

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Answer: Um, I think is [tex]\frac{x}{2-3}[/tex].

Step-by-step explanation:

Answer:A translation is a function that moves every point a constant distance in a specified direction. A vertical translation is generally given by the equation y=f(x)+b y = f ( x ) + b .

Step-by-step explanation: y=f(x)+b y = f ( x ) + b .

Answer:

Answer: The minimum number of full hours did Carson need to work at his father's business is 8 hours and 15 minutes. Happy to help!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that:    

The equation of the damped vibrating spring is y" + by' +2y = 0

(a) To convert this 2nd order equation to a system of two first-order equations;

let y₁ = y

y'₁ = y' = y₂

So;

y'₂ = y"₁ = -2y₁ -by₂

Thus; the system of the two first-order equation is:

y₁' = y₂

y₂' = -2y₁ - by₂

(b)

The eigenvalue of the system in terms of b is:

[tex]\left|\begin{array}{cc}- \lambda &1&-2\ & -b- \lambda \end{array}\right|=0[/tex]

[tex]-\lambda(-b - \lambda) + 2 = 0 \ \\ \\\lambda^2 +\lambda b + 2 = 0[/tex]

[tex]\lambda = \dfrac{-b \pm \sqrt{b^2 - 8}}{2}[/tex]

[tex]\lambda_1 = \dfrac{-b + \sqrt{b^2 -8}}{2} ; \ \lambda _2 = \dfrac{-b - \sqrt{b^2 -8}}{2}[/tex]

(c)

Suppose [tex]b > 2\sqrt{2}[/tex], then  λ₂ < 0 and λ₁ < 0. Thus, the node is stable at equilibrium.

(d)

From λ² + λb + 2 = 0

If b = 3; we get

[tex]\lambda^2 + 3\lambda + 2 = 0 \\ \\ (\lambda + 1) ( \lambda + 2 ) = 0\\ \\ \lambda = -1 \ or \ \lambda = -2 \\ \\[/tex]

Now, the eigenvector relating to λ = -1 be:

[tex]v = \left[\begin{array}{ccc}+1&1\\-2&-2\\\end{array}\right] \left[\begin{array}{c}v_1\\v_2\\\end{array}\right] = \left[\begin{array}{c}0\\0\\\end{array}\right][/tex]

[tex]\sim v = \left[\begin{array}{ccc}1&1\\0&0\\\end{array}\right] \left[\begin{array}{c}v_1\\v_2\\\end{array}\right] = \left[\begin{array}{c}0\\0\\\end{array}\right][/tex]

Let v₂ = 1, v₁ = -1

[tex]v = \left[\begin{array}{c}-1\\1\\\end{array}\right][/tex]

Let Eigenvector relating to  λ = -2 be:

[tex]m = \left[\begin{array}{ccc}2&1\\-2&-1\\\end{array}\right] \left[\begin{array}{c}m_1\\m_2\\\end{array}\right] = \left[\begin{array}{c}0\\0\\\end{array}\right][/tex]

[tex]\sim v = \left[\begin{array}{ccc}2&1\\0&0\\\end{array}\right] \left[\begin{array}{c}m_1\\m_2\\\end{array}\right] = \left[\begin{array}{c}0\\0\\\end{array}\right][/tex]

Let m₂ = 1, m₁ = -1/2

[tex]m = \left[\begin{array}{c}-1/2 \\1\\\end{array}\right][/tex]

∴

[tex]\left[\begin{array}{c}y_1\\y_2\\\end{array}\right]= C_1 e^{-t} \left[\begin{array}{c}-1\\1\\\end{array}\right] + C_2e^{-2t} \left[\begin{array}{c}-1/2\\1\\\end{array}\right][/tex]

So as t → ∞

[tex]\mathbf{ \left[\begin{array}{c}y_1\\y_2\\\end{array}\right]= \left[\begin{array}{c}0\\0\\\end{array}\right] \ \ so \ stable \ at \ node \ \infty }[/tex]

Answer:

Angles 3, 8, and 6 are all equal to 132 degrees.

All other angles are equal to 48 degrees.

Step-by-step explanation:

Given

f(x) = x² - 2x + 3

Now

f(-2) = (-2)² - 2 * ( -2 ) + 3

= 4 + 4 + 3

= 11

f(3) = 3² - 2 * 3 + 3

= 9 - 6 + 3

= 12 - 6

= 6

Hope it helps :)

Answer:

$2.85 per person

Step-by-step explanation:

$191.10 * 0.15 = $28.665 tip

total tip divide by 10 people

$28.665/10 = $2.85

Each person has to contribute $2.85 amount for the tip.

Given,

Total no. of person go out for dinner = carrie + her nine friends

                                                             = 1+9 = 10

Amount of the bill is = $191.10

Amount of tip is = 15% of the bill

                           = [tex]\frac{15 }{100}[/tex] × $  191.10

                           = 28.665

Total amount each person contribute an equal amount for tip is = [tex]\frac{28.665}{10}[/tex]

=$ 2.85

Each person contribute $2.85 amount for the tip.

For more information about ratio and proportion click the link given below.

https://brainly.com/question/25561616?referrer=searchResults