Answer:
About 31 years
Step-by-step explanation:
Given data
Principal= $3500
Rate= 4.75%
Final amount= $15,000
Time=??
The expression for time on compound interest is
Calculate time, solve for t
t = ln(A/P) / r
substitute
Calculate time, solve for t
t = ln(15000/3500) / 0.0475
t= ln(4.2857)/ 0.0475
t= 1.4552/0.0475
t= 30.63 years
Hence it will take about 31 years
Answer:
12/104 or around 11% chance
Step-by-step explanation:
This is because there is a total of 26 red cards (1/2) and a total of 12 face cards (12/52). So, you multiply 1/2 x 12/52 and get 12/104 or around 11% chance
He paid 3.19 per gallon both times......first time he bought 12.53 gallons....next time he bought 11.86 gallons
so ur expression is : 3.19(12.53 + 11.86)
Answer:
256
Step-by-step explanation:
A calculator works well for this.
_____
None of the minus signs are subject to the exponents (because they are not in parentheses, as (-1)^5, for example. Since there are an even number of them in the product, their product is +1 and they can be ignored.
1 to any power is still 1, so the factors (1^n) can be ignored.
After you ignore all of the things that can be ignored, your problem simplifies to ...
(2^2)(2^-3)^-2
The rules of exponents applicable to this are ...
(a^b)^c = a^(b·c)
(a^b)(a^c) = a^(b+c)
Then your product simplifies to ...
(2^2)(2^((-3)(-2)) = (2^2)(2^6)
= 2^(2+6)
= 2^8 = 256