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Elanso [62]
3 years ago
15

A trader buys pens at $44 a dozen and sells them at $20 each. Find his profit if he sells 60 pens.

Mathematics
1 answer:
Stels [109]3 years ago
4 0
60 pens/ A dozen pens= 5 packs of a dozen pens
$44*5= $220 total spent
$20*60=$1200 total money a trader gets
$1200-$220=$980 in profits.

Hope I didn't mess up for your sake.
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Find the sum of the first 47 terms of the following series, to the nearest integer.
Leokris [45]

Answer:

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888

Step-by-step explanation:

The given series is;

12, 16, 20, ...,

Therefore, the first term of the series is, a = 12

The common difference of series is found as follows;

The difference between subsequent terms, 12 and 16 is  16 - 12 = 4

The difference between subsequent terms, 16, and 20 is  20 - 16 = 4

Therefore, the common difference, d = 4

The series is therefore an arithmetic projection, AP

The sum of the first 'n' terms of an AP, Sₙ, is given as follows;

S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ]

(47/2)*(2*12+(47-1)*4)

The sum of the first 47 terms is therefore given as follows;

S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888

5 0
2 years ago
Find the slope and the y intercept<br> Y=1/3x + 2
Andrej [43]

Answer:

m = 1/3, b = 2

Step-by-step explanation:

The equation is already written is slope-intercept form, y = m x + b.

7 0
2 years ago
For the right triangle find the missing length Round your answer<br> the nearest teren
Talja [164]

Answer:

hello! i can answer in the comments if you tell me what the lengs are and where they are located! i cannot see the picture due to my school computer blocking images on the site so that's why i need the explanation. thanks :>

5 0
3 years ago
What is the area? Please explain steps so I can attempt to understand
yarga [219]

Answer:

12 \sqrt{2}

Step-by-step explanation:

you can use hypotenuse formula

45-45-90 isosceles right triangle

so, 45= x

x² + x² = 24²

2x² = 24²

x²= 24.12

x= \sqrt{288}  = 12 \sqrt{2}

or :

you can use this rule: if you see a 45 45 90 isosceles right triagngle (you can look picture) 45=a cm and 90 = a\sqrt{2}

cm

so ;

a \sqrt{2}  = 24

a= 12 \sqrt{2}

hope this helps ^-^

3 0
3 years ago
1. A system of linear equations that has one solution has slopes that are__________
algol13

Answer:

different

Step-by-step explanation:

different slopes gives one solution

same slopes with different constant has no solution

same slopes and constants has many solutions

3 0
3 years ago
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