Answer:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the amount deposited.
P represents the principal or amount amount deposited
R represents interest rate
T represents the duration in years.
From the information given,
P = 560
R = 2%
T = 3 years
I = (560 × 2 × 3)/100 = $33.6
Therefore, the total amount that Mr. Caldwell will have in his account at the end of 3 years is
560 + 33.6 = $593.6
The place value chart is shown in the attached image.
The given number is:
<span>337,060
First, we will expand it using the place value chart:
</span><span>337,060 = 300,000 + 30,000 + 7,000 + 000 + 60 + 0
Now, we will use exponents:
</span>300,000 = 3 * 10⁵
30,000 = 3 * 10⁴
7,000 = 7 * 10³
000 = 0 * 10²
60 = 6 * 10
0 = 0 * 10⁰
Now, combing these exponents, we can write the number as:
337,060 = 3 * 10⁵ + 3 * 10⁴ + 7 * 10³ + 0 * 10² + 6 * 10 + 0 * 10⁰
Finally, eliminating the meaningless zeroes, we would end up with:
337,060 = 3 * 10⁵ + 3 * 10⁴ + 7 * 10³ + 6 * 10
Hope this helps :)
Answer with Step-by-step explanation:
The given differential equation is
Now the above differential equation can be re-written as
Checking for exactness we should have
As we see that the 2 values are equal thus we conclude that the given differential equation is exact
The solution of exact differential equation is given by
The value of can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)
Answer:
13.4%
Step-by-step explanation:
Use binomial probability:
P = nCr p^r q^(n-r)
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1-p).
Here, n = 16, r = 2, p = 0.25, and q = 0.75.
P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²
P = 120 (0.25)² (0.75)¹⁴
P = 0.134
There is a 13.4% probability that exactly 2 students will withdraw.
The last one, 2x-2+3x, is equivalent to the given expression