Answer: Options B and C
Explanation:
To account for Direct Material Variance for for price and quantity, it is pertinent to note that Unfavorable variances should be recorded as debits while favorable variances should be recorded as credits.
Therefore
If the direct materials price variance is $500 favorable, Then Credit should be made to direct material price variance and
If the direct materials quantity variance is $250 unfavorable, Then a Debit should be made to direct materials quantity variance.
Answer:
$2954.22
Explanation:
We are given a present value of $360000 which needs to be paid in the future for the mortgage of a house therefore we are further told that $60000 of down payment has been made so now we are required to pay $300000 as monthly installments for the next 15 years so this is a present value annuity problem as we will have future regular periodic payments that for a house mortgage so firstly to interpret this information properly we will use the present value annuity to find the monthly payments which the formula is as follows:
Pv = Cx[(1 -(1+i)^-n)/i]
where C is the periodic payment we are looking for.
Pv is the present value for the home which is $300000 as a down payment of $60000 was made.
i is the interest rate which is 8.5%/12 as we are told it is compounded monthly.
n is the number of periods the in which the mortgage payments are made which is 15 years X 12 months =180 payments.
now we will substitute in the above mentioned formula :
$300000 = Cx[(1-(1+8.5%/12)^-180)/(8.5%/12)] now we will divide both sides with what multiplies C in brackets to solve for C
$300000/[(1-(1+8.5%/12)^-180)/(8.5%/12)] = C
$2954.218674 = C now we round off to two decimal places
C= $2954.22 which will be the monthly payment for this mortgage for 15 years every month.
Some solutions when your child cannot go to sleep would be:
Your baby needs to learn how to comfort himself and put himself back to sleep. You can begin slowly by introducing a soft toy or blankie during cuddle time.
It's important to teach your blind baby the cues that indicate a shift from day to night. This means that you will want to establish a pretty strict night time routine
Answer:
<em>Indirect Pattern</em>
Explanation:
<em>The proof is first provided in the indirect technique, thus contributing to the primary notion of the message. This is an assumption that is empirical.</em>
If the reader or recipient may be disappointed or resist what you have to say, this strategy is best.
Sometimes writing with an exceptionally confident attitude can be considered arrogant, particularly if you are a newer member of an organisation or an outsider.
You might want to use an indirect approach in these kind of cases, or if the receiver is wary or confrontational.
Answer:
16.25;
g(f(x)) ;
76 ;
f(g(x))
Explanation:
For 15 off
f(x) = x - 15
For 35% off
g(x) = (1 - 0.35)x = 0.65x
g(x) = 0.65x
A.)
For the $15 off coupon :
f(x) = x - 15
f(x) 40 - 15 = 25
For the 35% coupon :
g(x) = (1-0.35)x
g(x) = 0.65(25)
g(x) = 16.25
B.)
Applying $15 off first, then 35%
Here, g is a function of f(x)
g(f(x))
Here g(x) takes in the result of f(x) ;
For the $140 off coupon :
f(x) = x - 15
f(140) = 140 - 15 = 125
For the 35% coupon :
g(125) = (1-0.35)x
g(124) = 0.65(125) = $81.25
C.)
x = 140
g(x) = 0.65x
g(140) = 0.65(140)
g(140) = 91
f(x) = x - 15
f(91) = 91 - 15
f(91) = 76
D.)
Here, F is a function of g(x)
f(g(x))
f(x) = (0.65*140) - 15
