Answer:
18.7 years
Step-by-step explanation:
This is a compound interest problem and the following variables have been given;
Principal = 4000; this is the amount o be invested
APR = 9%; this is the compound interest to be earned
Accumulated amount = 20,000
We are required to determine the duration in years. We apply the compound interest formula;
![A=P(1+r)^{n}](https://tex.z-dn.net/?f=A%3DP%281%2Br%29%5E%7Bn%7D)
![20000=4000(1+\frac{9}{100})^{n}\\20000=4000(1.09)^{n}\\5=(1.09)^{n}](https://tex.z-dn.net/?f=20000%3D4000%281%2B%5Cfrac%7B9%7D%7B100%7D%29%5E%7Bn%7D%5C%5C20000%3D4000%281.09%29%5E%7Bn%7D%5C%5C5%3D%281.09%29%5E%7Bn%7D)
The next step is to introduce natural logarithms in order to determine n;
![ln5=nln(1.09)\\n=\frac{ln5}{ln(1.09)}\\n= 18.675](https://tex.z-dn.net/?f=ln5%3Dnln%281.09%29%5C%5Cn%3D%5Cfrac%7Bln5%7D%7Bln%281.09%29%7D%5C%5Cn%3D%2018.675)
The number of years required is thus 18.7 years
Answer:
5 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%20%20%20%7D)
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (6, 4)
d = ![\sqrt{(6-2)^2+(4-1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%286-2%29%5E2%2B%284-1%29%5E2%7D)
= ![\sqrt{4^2+3^2}](https://tex.z-dn.net/?f=%5Csqrt%7B4%5E2%2B3%5E2%7D)
= ![\sqrt{16+9}](https://tex.z-dn.net/?f=%5Csqrt%7B16%2B9%7D)
= ![\sqrt{25}](https://tex.z-dn.net/?f=%5Csqrt%7B25%7D)
= 5
The previous person is correct. It’s 32x6 = 192 cm.
Answer:
Step-by-step explanation:
-9/10 or -0.9
Answer:
Its the last one I beleive not sure
Step-by-step explanation: