Answer:
B
Step-by-step explanation:
The compound interest formula is 
where:
- P is the starting amount called the principle
- r is the rat written as a decimal
- n is the number of times compounded in a year
- t is the number of years
Substitute a value into each variable to solve.
- P = $147 since 10% of 1,470 is being invested which makes P = 0.10(1470) = 147.
- The rate is 3.5% or r = 0.035.
- n = 12 because it is compounded monthly meaning 12 times a year.
- t = 25 since it will earn for 25 years.
Repeat this process for each formula.
We can begin by rearranging this into multiplication:
Now we can factor the numerators and denominators:
The factors
(x+4) and
(x+2) cancel out, leaving us with:
Our answer comes out to be:
or
Based on the numerator of the second fraction (since we used its inverse), the denominators of both, and the factors we canceled out earlier, the restrictions are
x ≠ -4, -3, -2, -1, 4
Answer:
4.1 and 4.2
Step-by-step explanation:
or 4 and 5
5x² + 5x + 2x + 2
5x(x + 1) + 2(x + 1)
(5x + 2)(x + 1)
Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160
