Answer: The balance in the account after 10 years is $3374.65
Step-by-step explanation:
The exponential equation for growth [ compounded continuously] is

, where P= Present value
r= growth rate ( in decimal)
t= time (years)
By considering the given information , we have
p=$2500 r = % =0.03 and t= 10
Substitute all the values in the above equation , we get


[Round to the nearest cent]
Therefore, the balance in the account after 10 years is $3374.65
You can do this using synthetic division, which is the easiest way. If x - 2 = 0, then x = 2. That 2 will go outside the "box" and the leading coefficients of the terms in the polynomial will go inside the "box". 2 (1 -3 -10 24). Bring down the first number, the
1. Multiply that 1 by the 2 to get 2. Put that 2 up under the -3 and add to get
-1. Multiply that -1 by the 2 to get -2. Put that =-2 up under the -10 and add to get
-12. Multiply that -12 by the 2 to get -24. Put the -24 up under the 24 and add to get 0. That means that x - 2 is a factor of the polynomial. What's left, the bolded numbers, are the coefficients of a new polynomial that is one degree less than the polynomial you started with. In other words, when we divide your polynomial by x-2, you get

.
Step-by-step explanation:
6n-10=50
6n=60
n=10
rlu=6n-10
=6×10-10
=60-10
50
To determine the number of cubes he needs to fill the box (this is assuming the cubes are 1 in cubes, he would need to calculate the volume of the box. To find the volume he would multiply the length by the width by the height. This would be 5 in x 6 in x 7 in. The volume is 210 cubic inches, so he could fill it with 210 one inch cubes.
Answer:
The building is 36 feet tall.
Step-by-step explanation:
Divide 6 by 4 then multiply by 24.