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3 years ago

The student council made a profit of $3,000 on a car wash. If they invest the money at 5% interest

Mathematics

1 answer:

zzz [600]3 years ago

5 0

Answer:

560000

Step-by-step explanation:

As the profit is 3000 on car wash

And there is 5 percent interest

As the 5ser of 3000 is 559995

So the 4 years add to 559995

Equals 560000

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#8 HELP IM STUCK ON THIS

jeka57 [31]

Answer:

12 ft

Step-by-step explanation:

for the model is 1 and the actual is 5

conversion yards to feet

3 feet = 1 yard

20 * 3 = 60

60/5 = 12

your answers 12 ft

hope this helps:)

4 0

2 years ago

A particle moving in a planar force field has a position vector x that satisfies x'=Ax. The 2×2 matrix A has eigenvalues 4 and 2

andrey2020 [161]

Answer:

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

Step-by-step explanation:

Consider the provided matrix.

$v_1=\begin{bmatrix}-3\\1 \end{bmatrix}$

$v_2=\begin{bmatrix}-1\\1 \end{bmatrix}$

$\lambda_1=4, \lambda_2=2$

The general solution of the equation $x'=Ax$

$x(t)=c_1v_1e^{\lambda_1t}+c_2v_2e^{\lambda_2t}$

Substitute the respective values we get:

$x(t)=c_1\begin{bmatrix}-3\\1 \end{bmatrix}e^{4t}+c_2\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}$

$x(t)=\begin{bmatrix}-3c_1e^{4t}-c_2e^{2t}\\c_1e^{4t}+c_2e^{2t} \end{bmatrix}$

Substitute initial condition $x(0)=\begin{bmatrix}-6\\1 \end{bmatrix}$

$\begin{bmatrix}-3c_1-c_2\\c_1+c_2 \end{bmatrix}=\begin{bmatrix}-6\\1 \end{bmatrix}$

Reduce matrix to reduced row echelon form.

$\begin{bmatrix} 1& 0 & \frac{5}{2}\\ 0& 1 & \frac{-3}{2}\end{bmatrix}$

Therefore, $c_1=2.5,c_2=1.5$

Thus, the general solution of the equation $x'=Ax$

$x(t)=2.5\begin{bmatrix}-3\\1\end{bmatrix}e^{4t}-1.5\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}$

$x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

6 0

3 years ago

If 30 is the total number of starbursts in a bag, how many starbursts are 70% of the bag?

daser333 [38]

Ten percent is 3 starburst because to find ten percent you divide the total number by ten. now to find 70 percent you times ten percent by seven. 3 x7 = 21 :)

8 0

3 years ago

Math riddle!

daser333 [38]

Answer:

Step-by-step explanation:

There are total 52 cards.

Certain number of cards are lost.

When divided by 4, leaves 3 cards remain ; 51, 47, 43, 39, . . .

When divided by 5, leaves 2 cards remain : 47, 42, 37, 32, . . .

When divided by 3, leaves 2 cars remain : 50, 47, 44, 41, . . .

The common number among the three is 47.

8 0

3 years ago

$35,200 at 2% for 2 years

Juli2301 [7.4K]

Answer:

Um 1408

Step-by-step explanation:

2% of 35,200 is 704 and 304*2= 1408

7 0

3 years ago

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