If we can match teh bases we can solve
because if x=x and xᵃ=xᵇ, we can conclude that a=b
16=2⁴
32=2⁵
rememeber that
2=2 so we conclude that 4(3x+2)=5(-2x-7)
4(3x+2)=5(-2x-7)
expand/distribute
12x+8=-10x-35
add 10x both sides
22x+8=-35
minus 8 both sides
22x=-43
divide both sides by 22
x=-43/22
1. 112 degrees
2. 68 degrees
Answer:
$9450
Step-by-step explanation:
We will use compound interest formula:
Where
F is future amount [what we want to figure out]
P is present amount [9000]
r is rate of interest [since we want for 6 months, the annual interest divided by 2 is r. So r = 10/2 = 5% or 0.05]
t is the time [ the time period is for 6 months so t = 1 since we already converted the interest rate to 6 month chunk]
Putting in formula, we get:
Answer:
8!=40320
Step-by-step explanation:
SInce their are 8 athletes and 8 positions we can assume this: The first sprinter has 8 positions to end in, the next has 7 places to finish in, the third has 6 places and so on... Using this we can multiply these possibilities to find that the possibilities are 8×7×6×5×4×3×2 which results in 40320 (this function is known as a factorial and denoted !).
Answer: The discount is $30, making the sale price $270.
Step-by-step explanation: Take your initial value times the percent of your discount to find the discount amount: in this case, it is 300 * .10 = 30. Then you can subtract that value from your initial value, 300-30=270 to get the sale price.
