Answer:
- Option <u>B </u>is correct i.e. <u>2</u><u>1</u>
Step-by-step explanation:
In the question we're provided with an equation that is :
And we are asked to find the solution for the equation .
<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>
<u>
</u>
Multiplying by 7 on both sides :
![\longrightarrow \: \frac{v}{ \cancel{7} }\times \cancel{7} = 3 \times 7](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A%20%5Cfrac%7Bv%7D%7B%20%5Ccancel%7B7%7D%20%7D%5Ctimes%20%20%5Ccancel%7B7%7D%20%20%3D%203%20%5Ctimes%207)
On further calculations , we get :
![\longrightarrow \: \blue{\boxed{v = 21}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A%20%20%5Cblue%7B%5Cboxed%7Bv%20%3D%2021%7D%7D)
- <u>Therefore</u><u> </u><u>,</u><u> </u><u>solution</u><u> </u><u>for</u><u> equation</u><u> </u><u>is </u><u>2</u><u>1</u><u> </u><u>.</u><u>That </u><u>means</u><u> </u><u>option </u><u>B </u><u>is </u><u>the </u><u>correct</u><u> answer</u><u>.</u>
<u>Verifying</u><u> </u><u>:</u>
We are verifying our answer by substituting value of v in the equation given in question :
![\longrightarrow \: \frac{v}{7} = 3](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A%20%5Cfrac%7Bv%7D%7B7%7D%20%20%3D%203)
Putting value of v :
![\longrightarrow \: \cancel{\frac{21}{7}} = 3](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A%20%20%5Ccancel%7B%5Cfrac%7B21%7D%7B7%7D%7D%20%20%3D%203)
By dividing 21 with 7 , we get :
![\longrightarrow \:3 = 3](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A3%20%3D%203)
![\longrightarrow \: L.H.S=R.H.S](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A%20L.H.S%3DR.H.S)
![\longrightarrow \: Hence , \: Verified.](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A%20Hence%20%2C%20%5C%3A%20Verified.)
- <u>Therefore</u><u> </u><u>,</u><u> </u><u>our </u><u>answer</u><u> is</u><u> valid</u><u> </u><u>.</u>
<h2>
<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
Answer:
3.33% per hour
Step-by-step explanation:
Use the A=Pe^rt equation. A is the end amount, so it's 1892. P is the original amount, 1700. E is a constant, around 2.72. R is the growth constant. T is the time that passed, 3 hours. You can substitute the givens into the equation and get 1892=1700e^(3r). Divide by 1700 to isolate the e. This leaves you with 1892/1700=e^(3r). Do the natural log of each side cancel the e and bring the exponent down. This leaves you with ln(1892/1700)=3r. Divide by 3 to isolate r. ln(1892/1700) is .1. .1/3 is .03333. Multiply by 100 to get a percent. 3.33 percent is your final answer.