Answer:
8 years
Step-by-step explanation:
Tim's account balance has an initial value of $6400 and is multiplied yearly by the factor 1.01. Thus, it can be described by the exponential equation ...
b = 6400·1.01^t
where b is the balance after t years.
Putting in the desired balance, we can find t.
6900 = 6400·1.01^t
1.078125 = 1.01^t . . . . . divide by 6400
log(1.078125) = t·log(1.01) . . . . take the logarithm of both sides
log(1.078125)/log(1.01) = t ≈ 7.56 ≈ 8 . . . . . divide by the coefficient of t
It will take Tim approximately 8 years to reach a balance of $6900.
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The problem can also be solved using a graphing calculator.
Answer:
sin(3x) = sin(x + 2x)
= sinx cos(2x) + cosx sin(2x)
= sinx [1 - 2sin2x] + cosx [2sinxcosx]
= sinx - 2sin3x + 2cos2xsinx
5%
Convert feet to inches by multiplying 5 by 12 (12 inches in 1 foot) 5×12=60
We know 5 feet is 60 inches so 5 feet 3 inches is 63 inches (60+3)
To find percent increase do 63÷60=1.05
1.05=5% increase
The answer is "0.56".
As <span> 56% of voters support funding a new community center, so
56/100 = 0.56.
A binomial experiment refers to a measurable test that has the accompanying properties: The trial comprises of n repeated trials. Every trial can bring about only two conceivable results. We call one of these results a win and the other, a disappointment. The likelihood of accomplishment, meant by p, is the same on each trial.
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