We see that for every 8 sandwiches that the customer needs, he will pay for 5. Lets see how many groups of 8 sandwiches the order of 675 sandwiches contains. If we do Euclidean Division we see that there are 84 groups of 8 and that three sandwiches are the remainder. 675/8=84.375; Hence we have 84 groups and 0.375*8=3 sandwiches that remain. Thus, the customer would play for 84*5= 420 sandwiches if he had ordered 84 groups of 8 (namely 672 sandwiches). Since he needs another 3 sandwiches and there is no promotional offer for those, he will have to pay in total for 423 sandwiches. It is important to not divide the total number by 8 and then multiply it by 5; the customer gets the free sandwiches only if he completes an offer of 5 sandwiches, thus we have to group the sandwiches in octads and deal with the remainder separately.
Based on the calculations, the measure of angle PON (∠PON) in equilateral triangle LMN is equal to 30°.
<h3>What is an equilateral triangle?</h3>
An equilateral triangle can be defined as a special type of triangle that has equal side lengths and all of its three (3) interior angles are equal.
Since triangle LMN is an equilateral triangle, the following applies:
LN = LM = MN
∠LNM = ∠L = ∠LM = 60°
OP // MN (O and P are midpoint).
∠NPO = 90° + (90° - 60°) = 120°
∠PNO = ∠LNP/2 = 60/2 = 30°.
Therefore, ∠PON is given by:
∠PON = 180° - (∠PNO + ∠NPO)
∠PON = 180° - (30° + 120°)
∠PON = 180° - 150°
∠PON = 30°
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It can be deduced that the number of blankets that must be sold in order for the company to achieve the target profit is 40000.
<h3>How to calculate the target profit</h3>
From the information, Blissful Blankets' target profit is $520,000 and each blanket has a contribution margin of $21. Fixed costs are $320,000.
Therefore, the number of blankets that must be sold to achieve the target profit will be:
= (520000+320000)/21
= 40000
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Answer:
5.31%
Explanation:
FV = 1000
Coupon rate = 5.7%
No of compound = 2
Interest per period = $28.5
Bond price = $1048
No of years to maturity = 20
No of compounding till maturity = 40
Coupon rate set on new bonds = Rate(Nper, PMT, -PV, FV) * 2
Coupon rate set on new bonds = Rate(40, 28.5, -1048, 1000) * 2
Coupon rate set on new bonds = 0.02655 * 2
Coupon rate set on new bonds = 0.0531
Coupon rate set on new bonds = 5.31%
