Answer:
9 boxes were packed. 10 brownies were left over.
Step-by-step explanation:
127 ÷ 13 = 9 R10
13 x 9 = 10 x 9 + 3 x 9 = 90 + 27 = 117
127 - 117 = 10
To graph the new shape, you must move each vertex down 3 units. This causes Q to become (1, 0), L to become (5, -2), and Q to become (1, 0). These values can be found by simply counting down by three for each point.
The Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt)/(r/t)
where: P is the monthly payment, r is the annual rate = 7% = 0.07, t is the number of periods in one year = 12 and n is the number of years = 3.
18,000 - 6,098 = P(1 - (1 + 0.07/12)^-(3 x 12)) / (0.07/12)
11,902 = P(1 - (1 + 0.07/12)^-36) / (0.07/12)
P = 0.07(11,902) / 12(1 - (1 + 0.07/12)^-36) = 367.50
Therefore, monthly payment = $367.50
Answer:
The Large Box Weighs 18 kg, and the small box weighs 6.5 kg
Step-by-step explanation:
Let a= the weight in kg of a large box
Let b= the weight in kg of a small box
Multiply both sides of (1) by 4 and subtract (2) from (1)
1. 20a+8b=412
2. -3a-8b= -106
17a=306
a=18
and
5*8+2b=103
90+2b=103
2b=13
b=6.5
