Answer:
2310
Step-by-step explanation:
The numbers 2, 3, 5, 7, and 11 are prime.
Therefore, the LCM of those numbers is their product.
LCM = 2 * 3 * 5 * 7 * 11 = 2310
Answer:
Rate = 14.07%
Step-by-step explanation:
A= 3500
P= 2000
n = 12
t = 4
![3500= 2000(1+\frac{r}{12})^{4 \times 12}\\\\\frac{3500}{2000} = (1+\frac{r}{12})^{48}\\\\\frac{7}{4} = (1+\frac{r}{12})^{48}\\\\1.75 = (1+\frac{r}{12})^{48}\\\\\sqrt[48]{1.75} = (1+\frac{r}{12})\\\\\sqrt[48]{1.75}-1 = \frac{r}{12}\\\\0.01172688 = \frac{r}{12}\\\\r = 0.01172688 \times 12 = 0.14072267\\\\r \% = 14.07%](https://tex.z-dn.net/?f=3500%3D%202000%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B4%20%5Ctimes%2012%7D%5C%5C%5C%5C%5Cfrac%7B3500%7D%7B2000%7D%20%3D%20%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B48%7D%5C%5C%5C%5C%5Cfrac%7B7%7D%7B4%7D%20%3D%20%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B48%7D%5C%5C%5C%5C1.75%20%3D%20%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B48%7D%5C%5C%5C%5C%5Csqrt%5B48%5D%7B1.75%7D%20%20%3D%20%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5C%5C%5C%5C%5Csqrt%5B48%5D%7B1.75%7D-1%20%3D%20%5Cfrac%7Br%7D%7B12%7D%5C%5C%5C%5C0.01172688%20%3D%20%5Cfrac%7Br%7D%7B12%7D%5C%5C%5C%5Cr%20%3D%200.01172688%20%5Ctimes%2012%20%3D%200.14072267%5C%5C%5C%5Cr%20%5C%25%20%3D%2014.07%25)
Answer:
Kerry = 2/3 * 420 = 280
David = 3/4 * 420 = 315
David read more pages compared to Kerry.
Answer:
390=W 195=L Area=76050
Step-by-step explanation:
You have two lengths and one width for your perimeter
P= 2L + W
you are given your perimiter 780
780= 2L + W
To solve for your maximum Width
780-2L=w
Area is L * W
A= (780-2L)*L
A= 780L - 2L^2
the derivitive of the Area
A' = 780-4L =0
add 4L to both sides
780=4L
divide by 4 on both sides
195=L
Bring back 780-2L=W and plug in what you now know is L
780-2(195)=W
780-390=W
390=W
