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iren2701 [21]
4 years ago
10

Best Company sells personalized mugs for $18 each plus a fixed fee of $26 for shipping and handling for the entire order. The Cu

p Expert Company sells personalized mugs for $22 each plus a fixed fee for $14 for shipping and handling for the entire order. How many personalized mugs would a customer have to purchase for the total cost of each company to be the same?
Mathematics
2 answers:
Step2247 [10]4 years ago
8 0

26+18m = 14+22m

26 + 18m-22m=14

26-4m=14

-4m=12

m=3

 3 mugs

mezya [45]4 years ago
3 0
Best Company: 18 + 26 = 44
The Cup Expert Co.: 22 + 14 = 36

The amount of cups to order to pay the same is as follows:

Best Company: 44 x 9 = $396
The Cup Expert Co.: 36 x 11 = $396
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For each sequence, find the first 4 terms and the 10th term.<br> a) 3n + 4<br> b) 4n-5
Studentka2010 [4]

Answer:

see explanation

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the formula, that is

(a)

a₁ = 3(1) + 4 = 3 + 4 = 7

a₂ = 3(2) + 4 = 6 + 4 = 10

a₃ = 3(3) + 4 = 9 + 4 = 13

a₄ = 3(4) + 4 = 12 + 4 = 16

Similarly substitute n = 10 for tenth term

a₁₀ = 3(10) + 4 = 30 + 4 = 34

(b)

a₁ = 4(1) - 5 = 4 - 5 = - 1

a₂ = 4(2) - 5 = 8 - 5 = 3

a₃ = 4(3) - 5 = 12 - 5 = 7

a₄ = 4(4) - 5 = 16 - 5 = 11, and

a₁₀ = 4(10) - 5 = 40 - 5 = 35

5 0
3 years ago
If your starting salary were $40,000 and you received a 3% increase at the end of every year for 15 years, what would be the tot
Dmitry [639]

T = 40000 + 40000(1.03) + 40000(1.03)^2 + ... + 40000(1.03)^15


Multiply the above equation by 1.03 giving


1.03(T) = 40000(1.03) + 40000(1.03)^2 + 40000(1.03)^3 + ... + 40000(1.03)^15 + 40000(1.03)^16


Now subtract the first equation from the second to give


0.03T = 40000(1.03)^16 - 40000


0.03T = 40000(1.03^16 - 1)


0.03T = 24188.26


T = 24188.26 / 0.03 = $806275.25


6 0
4 years ago
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3 years ago
Triangle E D F is shown. The length of E F is 8 and the length of D F is 5. Angle E D F is 116 degrees and angle D F E is 31 deg
matrenka [14]

Answer:

10.3

Step-by-step explanation:

Triangle E D F is shown. The length of E F is 8 and the length of D F is 5. Angle E D F is 116 degrees and angle D F E is 31 degrees.

Trigonometric area formula: Area = One-half a b sine (C)

What is the area of triangle DEF? Round to the nearest tenth of a square unit.

10.3 square units

18.0 square units

20.0 square units

20.6 square units

7 0
3 years ago
Read 2 more answers
1 tenth is 10 times as much as
muminat
1/10 is 10 times=
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1/10 X 1/10= 1/100
because 1/10 is 10x more than 1/100
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