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3 years ago

Write an expression for the sales tax on a car. Tax rate is r, price is $23,000.

Mathematics

1 answer:

Paul [167]3 years ago

7 0

Answer:

R=23,000 that's the text rate.

Step-by-step explanation:

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If y=e5t is a solution to the differential equation

a_sh-v [17]

Answer:

k = 30, $y(t) = C_1e^{5t}+C_2e^{6t}$

Step-by-step explanation:

Since $y=e^{5t}$ is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

$\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}$

Then, replacing the derivatives in the equation we have:

$25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0$

Since $e^{5t}$ is a positive function, we have that

$25-55+k = 0 \rightarrow k = 30$ .

Now, consider a general solution $y(t) = Ae^{rt}, A \in \mathbb{R}$ , then, by calculating the derivatives and replacing them in the equation, we get

$Ae^{rt}(r^2-11r+30)=0$

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

$y(t) = C_1e^{5t}+C_2e^{6t}$

8 0

3 years ago

The table below shows the weekly change in the price of one gram of gold for four weeks.

Sonja [21]

Answer:

THEY DIDN'T IT WAS BECAUSE THEY MADE UP A FAKE RUMER AND HAD TO MAKE IT LOOK REAL

Step-by-step explanation:

8 0

3 years ago

How to solve this one step inequality

dem82 [27]

Answer: add 1 to both sides

-1+r+1≥4+1

simplify

x≥5

Step-by-step explanation:

8 0

3 years ago

Solve the inequality<br><br><br><br> 2x + 9 < 4x + 3

Diano4ka-milaya [45]

Answer:

x > 3

Step-by-step explanation:

2x+9<4x+3

or, 9-3<4x-2x

or, 6<2x

or, (6/2)<x

or, 3<x

or, x >3

5 0

2 years ago

Read 2 more answers

Lola rode her bike for 7/10 of an hour on Saturday and 3/5 of an hour on sunday. How much longer did she rider her bike on Satur

victus00 [196]

Answer:

1/10 of an hour.

Step-by-step explanation:

Lola rode her bike for 7/10 of an hour on Saturday.

She rode for 3/5 of an hour on Sunday.

On Saturday she rode $\frac{7}{10}$ - $\frac{3}{5}$ = 1/10 of an hour more.

5 0

3 years ago