Question Find the slope of the line. (-1,3) (3,3)

Given the explicit formula for an srithmetic sequence find the first five terms and the 52nd term

Wewaii [24]

Answer:

5.16 6.77 8.96.8u .987

6 0

3 years ago

A company deposits $5,000 into an account that earns interest. The rate at which the value changes is given by dA/dt=0.0225A, wh

xxMikexx [17]

Answer:

$6261.61

Step-by-step explanation:

The solution to the differential equation is the exponential function ...

A(t) = 5000e^(0.0225t)

We want the account value after 10 years:

A(10) = 5000e^(0.225) = 6261.61

The value of the account after 10 years will be $6,261.61.

_____

The rate of change equation basically tells you that interest is compounded continuously. After working interest problems for a while you know the formula for that is the exponential formula A = A0·e^(rt).

Or, you can solve the differential equation using separation of variables:

dA/A = 0.0225dt

ln(A) = 0.0225t +C . . . . integrate

A(t) = A0·e^(0.0225t) = 5000·e^(0.0225t) . . . . solution for A(0) = 5000

7 0

3 years ago

A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fai

azamat

Answer:

Probability (Both fail) = 0.001369

Probability (None fails) =0.927369

Probability (at least one fails) = 0.072631

Step-by-step explanation:

given data

Probability (fail) P = 0.037

two alternators is independent

solution

we get here first probability that both will fail will be

Probability (Both fail) = 0.045² ................1

Probability (Both fail) = 0.001369

and

now we get probability that neither will fail

Probability (None fails) = (1-0.037)² ...............2

Probability (None fails) =0.927369

and

now we get probability that at least one fails

Probability (at least one fails) = 1 - Probability (non fails) .................3

Probability (at least one fails) = 1 - 0.927369

Probability (at least one fails) = 0.072631

3 0

3 years ago

3. Solve (5x – 4)(x – 6). (2 points) O x = 4, x = 6 X = -4, X = -6 X = 1.25, x = 6 0 x = 0.8, x = 6

saul85 [17]

Answer:

x=0.8

x=6

Step-by-step explanation:

(5x-4)(x-6)=0

1)5x-4=0

2)x-6=0

1)5x=4

x=4/5 or 0.8

2)x=6

6 0

2 years ago

Segment AB is shown on the graph. Which shows how to find the x-coordinate of the point that will divide segment AB into a 2:3 r

GrogVix [38]

Answer:

$x=\dfrac{2}{5}\times (2+3)-3$

Step-by-step explanation:

The given ratio is 2:3.

x₁ = -3, x₂ = 2

We need to find the x-coordinate of the point that will divide segment AB into a 2:3 ratio. The formula is as follows :

$x=\dfrac{a}{a+b}(x_2-x_1)+x_1$

Put all the values,

$x=\dfrac{2}{2+3}(2-(-3))+(-3)\\\\=\dfrac{2}{5}\times (2+3)-3$

Hence, the correct option is (d).

5 0

2 years ago

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