Answer:
The amount that must be deposited is $ 19973.87.
Step-by-step explanation:
We have a relation between future value present value as:
F= P 
F=future value
P=present value
r=rate (as a decimal)
n=number of compounding periods per year
t=number of years
Now,
assume rate as 8%
35000= P 
or, 35000= P × 
or, P = 
or, P = $ 19973.87
So you must deposit $ 19973.87 today.
Quotient means that division was used so you do the opposite of division which is multiplication... so you do 12×2 and get 24 ...so 24 fast songs were played
9514 1404 393
Answer:
2∛7
Step-by-step explanation:
Putting the expression in simplest form will factor cubes from under the radical.
![\displaystyle\sqrt[3]{56}=\sqrt[3]{2^3\cdot7}=\boxed{2\sqrt[3]{7}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csqrt%5B3%5D%7B56%7D%3D%5Csqrt%5B3%5D%7B2%5E3%5Ccdot7%7D%3D%5Cboxed%7B2%5Csqrt%5B3%5D%7B7%7D%7D)
Answer:
<h2> no, because the remainder is 126</h2>
Step-by-step explanation:
if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0
calculating remainder:
Answer:
The solution for f(x) = g(x) are;
x = 1 and x = -1
Step-by-step explanation:
The given equations for the functions, g(x) are;
g(x) = 2 + x
The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;
When f(x) = g(x), we have;
By cross multiplication, we have;
1 + 2·x = x × (2 + x) = 2·x + x²
∴ x² + 2·x - 2·x - 1 = 0
x² - 1 = 0
(x - 1)·(x + 1) = 0
x = 1, or x = -1
f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1
Therefore, the solution for f(x) = g(x) are;
f(x) = g(x) = 3 or 1 where x = 1 and x = -1.
