Answer:5
Step-by-step explanation:
If you look at the question in reverse you can backtrack your way through. Take 10 and instead of dividing, multiply it by 10, which is 60, add 6 instead of subtracting, which is 66, divide by 6 instead of multiplying, which is 11 and finally subtract 6 instead of adding, which is 5. Use five and try the question over to make sure you calculated correct.
Answer:
The correct answer is a. $2275.28; b. 17.04 years
Step-by-step explanation:
Principal to be invested is $2000
Interest rate (r) per year is 6.5 quarterly.
Interest is calculated compoundly.
a. Time (t) for the investment is given to be 2 years.
Amount after two years is = Principal × 
where the value of n is 4.
⇒ A = 2000 × 
⇒ A = $2275.28.
b. Now the value of A is given to be triple the principal = $ (3 × 2000).
Therefore we need to find the value of t.
⇒ 3 × 2000 = 2000 × 
⇒ ㏑ 3 = 4t × ㏑ ( 1.01625)
⇒ t = 17.04
Therefore it would take 17.04 years for the principal to triple.
Answer:
x = 5/2
Step-by-step explanation:
log4(x^2+5x)-log8(x^3)=1/log3(4)
log(x^2 + 5 x) / log(4) - log(x^3) / log(8) = log(3) / log(4)
log(x (x+5))/log(4) - log(x^3) / log(8) = log(3) / log(4)
(3 log(x (x+5)) - 2 log(x^3)) / log(64) = log(3) / log(4)
3 log(x (x+5)) - 2 log(x^3) = 3 log(3)
log((3 x)/(x+5))=0
x=5/2
9514 1404 393
Answer:
16 and 4
Step-by-step explanation:
If x is the smaller one, then the larger is 4x. Their sum is ...
x + 4x = 20
x = 20/5 = 4
The two numbers are 16 and 4.
