I think the answer to this question is 1152
Answer:
After 20 months
Step-by-step explanation:
This is a compound growth problem which has the formula:
![F=P(1+r)^t](https://tex.z-dn.net/?f=F%3DP%281%2Br%29%5Et)
Where
F is future value
P is present amount
r is the rate of growth
t is the time (in months)
Future amount is $65, what he needs at-least
P is the initial amount, that is $10
r is the rate of growth, which is 10% or 10/100 = 0.1
t is time in months, what we need to find
Substituting and solving we get:
![F=P(1+r)^t\\65=10(1+0.1)^t\\65=10(1.1)^t\\6.5=1.1^t\\ln(6.5)=ln(1.1^t)\\ln(6.5)=t*ln(1.1)\\t=\frac{ln(6.5)}{ln(1.1)}\\t=19.64](https://tex.z-dn.net/?f=F%3DP%281%2Br%29%5Et%5C%5C65%3D10%281%2B0.1%29%5Et%5C%5C65%3D10%281.1%29%5Et%5C%5C6.5%3D1.1%5Et%5C%5Cln%286.5%29%3Dln%281.1%5Et%29%5C%5Cln%286.5%29%3Dt%2Aln%281.1%29%5C%5Ct%3D%5Cfrac%7Bln%286.5%29%7D%7Bln%281.1%29%7D%5C%5Ct%3D19.64)
<u>He would need 19.64 months to save up at-least 65. So, that means, he would need 20 months</u>
Answer:
x
Step-by-step explanation:
Scientists like to say that the “independent” variable goes on the x-axis (the bottom, horizontal one) and the “dependent” variable goes on the y-axis (the left side, vertical one).
Answer:
About 72.23 metres
Step-by-step explanation:
Use Pythagorean Theorem to figure out all of the missing sides and then add them up. There are four right triangles you can do this with.