Answer:
$30
Step-by-step explanation:
Step one:
Jackson has $20 in his account
He uses a credit card to spend $30 and $10
total credit owed is $40
Required
His account balance after debt payment
Step two:
his balance will be = 20-40= -$20
Jackson then deposits $50 into his account
His new balance will be
-20+50= $30
√<span>108x^5y^6
First, break up </span><span>√108 :
</span>√108 = √4 x √27 = 2 x √3 x √9 = 2 x √3 x 3 = 6<span>√3
</span><span>Since the x^5 is under a root of 2, that means we can take out an x^2 and leave one x under the radical :
</span>√x^5 = x^2 (<span>√x)
</span><span>Since the y^6 is raised to an even power and the root is even (2), that means we can take out all of the y's without leaving any under the radical :
</span><span>√y^6 = y^3
</span><span>Now, combine all of our simplified forms into one expression:
6x^2y^3</span><span>√3x</span><span>
</span>
A. 2u+4<2 => u+2<1 => u<-1
B. 4u+1 < 21 => 4u < 20 => u<5
Here we need to combine the two inequalities, namely check for overlaps before writing in interval notation.
since u<-1 is already part of u<5, the solution set is u<-1, since u=0 (for example) will not satisfy the first inequality.
we write in interval notaion:
(-inf, -1)
the parentheses ( or ) mean the value closest to it is excluded.
the two values are the lower and upper bounds of the interval.
Here we mean the solutions are from -infinity (but excluded, because infinity is not a number) all the way up to -1, but -1 is also excluded because of the sign < (and not <=).
If the boundary value is to be included, we use the bracket.
For example, u<=-1 would be (-inf, -1].
Yes, 12 is a divisor of 48
The number of years is 4.781 in which $21,136.18 amount to $75,514.55 at 27.54% per annum when compounded quarterly and this can be determined by using the formula of the compound interest.
Given :
- Principal amount = $21136.18
- Final amount = $75514.55
- Interest rate per annum = 27.54%
- Compounded quaterly.
The formula of the compound interest is given by:
where A is the final amount, P is the principal amount, r is the interest rate, t is the time in years, and 'n' is a number of times interest applied.
Now, substitute the values of known terms in the above formula.
Now, take the log on both sides.
19.1237 = 4t
t = 4.781 years
Therefore, the correct option is B).
For more information, refer to the link given below:
brainly.com/question/14295570