Answer:
x = 7
Step-by-step explanation:
Let x = the number. Then
"Triple a number" means 3x
"is the same as" means =
"double the number increased by 5" means 2x + 7
∴ 3x = 2x + 7
Subtract 2x from each side
x = 7
The answer is x = 7.
Check:
3 × 7 = 2 × 7 + 7
21 = 14 + 7
21 = 21
OK.
To solve for time taken we use the compound formula:
A=P(1+r/100*n)^(n*t)
where:
A=future value
P=principle
r=rate
t=time
n=number of terms
6265=4000(1+7.5/(12*100))^(12t)
solving for t we get
1.56625=1.00625^12t
12t=72.0136
t=6.00 years
Answer: 6 years
You should know that:
(a+b)(a+b)(a+b)
=a(a+b)(a+b)+b(a+b)(a+b)
=a(a²+2ab+b²)+b(a²+2ab+b²)
=a³+2a²b+ab²+a²b+2ab²+b³
=a³+3a²b+3ab²+b³
-----------------
If a=5x and b=-4y
(5x+(-4y))³
=(5x-4y)³
=(5x)³+3(5x)²(-4y)+3(5x)(-4y)²+(-4y)³
=125x³+3(25x²)(-4y)+15x(16y²)-64y³
=125x³+75x²(-4y)+240xy²-64y³
=125x³-300x²y+240xy²-64y³
Answer:
-0.03
Step-by-step explanation:
-59x+3.2=5
-59x=5-3.2
-59x=1.8
x=1.8/-59
x=-0.03
