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3 years ago

Th term of a seq uence is n(n-4) /n+3 Work out the sum of the 1st and 6th terms.

Mathematics

1 answer:

AlekseyPX3 years ago

5 0

Answer:

7/12

Step-by-step explanation:

The nth term Tₙ = n(n-4) /n+3.

The 1st term T₁ = 1(1 - 4)/(1 + 3) = -3/4

The 6th term T₆ = 6(6 - 4)/(6 + 3) = 6(2)/9 = 2(2)/3 = 4/3

So, the sum of the 1st and 6th terms is T₁ + T₆ = -3/4 + 4/3

= (-9 + 16)/12

= 7/12

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Mrrafil [7]

Answer:

£510

Step-by-step explanation:

Simple interest = (principal × rate × time) / 100

Principal = £1700

Rate = 10%

Time = 3 years

Simple interest = (principal × rate × time) / 100

= (1700 × 10 × 3) / 100

= 51,000/100

= 510

Simple interest = £510

7 0

3 years ago

Constance wants to purchase an school jacket. She saw the same jacket at a few stores. Store A had the jacket for 15% off the or

soldi70 [24.7K]

Store A will be the better buy.

The price will be $53.70 after sales tax at store A.

Step-by-step explanation:

Price of Jacket at store A = $59.60

Discount = 15%

Discount Amount = $\frac{15}{100}*59.60\\$

Discount Amount = $0.15*59.60=\$8.94$

Price after discount = Original price - Discount amount

Price after discount = 59.60 - 8.94 = $50.66

Price of Jacket at store B = $50.99

The price at store A becomes less than store B after discount, therefore, buying from store A is better.

Sales tax = 6%

Sales tax amount = $\frac{6}{100}*50.66$

Sales tax amount = $0.06*50.66=\$3.0396$

Price after sales tax = Discount price at store A + Sales tax amount

Price after sales tax = 50.66 + 3.0396 = $53.6996

Rounding off to nearest hundredth;

Price after sales tax = $53.70

The price will be $53.70 after sales tax at store A.

Keywords: percentage, addition

Learn more about percentages at:

#LearnwithBrainly

8 0

2 years ago

George would like to build a garden this year, George measure out his proposed garden and would like to know how many square fee

Blababa [14]

Answer:

The area is 105.5ft^2

Step-by-step explanation:

Required

The area of the composite figure

The figure can be divided to 2 shapes

(1) Rectangle: Length = 6ft and Width = 8ft

(2) Trapezoid: Height = 5ft (i.e. 8 - 3), Parallel sides = 9ft and 14ft (i.e. 20 - 6)

The area of the rectangle is:

$Area = 6 * 8 = 48$

The area of the trapezoid is:

$Area = \frac{1}{2}(9 + 14) * 5$

$Area = \frac{1}{2}(23) * 5$

$Area = 11.5 * 5$

$Area = 57.5$

So, the area of the garden is:

$Total = 48 + 57.5$

$Total = 105.5$

5 0

3 years ago

How would you solve y+1= -4x ? with a step by step solution

polet [3.4K]

Answer:

There are an infinite number of solutions.

Step-by-step explanation:

An equation with 2 unknowns give an infinite amount of solutions, here is just one of the many:

Let y= 3 ( y can be any number)

(3) + 1 = -4x

4 = -4x

x = -4/4

x= -1

(x;y) = (-1;3)

Generally x and y can be any number, just let x or y be any number, then find the other variable based on the value of the number u assumed.

3 0

2 years ago

A total of $5000 is invested: part at 9% and the remainder at 14%. How much is invested at each rate if the annual interest is $

IceJOKER [234]

9514 1404 393

Answer:

$200 at 14%
$4800 at 9%

Step-by-step explanation:

Let x represent the amount invested at 14%. Then 5000-x is the amount invested at 9%. The interest earned is ...

(14%)x +(9%)(5000 -x) = 460

0.05x +450 = 460 . . . . . . . . . . simplify

0.05x = 10 . . . . . . . . . . . . . . subtract 450

x = 200 . . . . . . . . . . . . . . divide by 0.05

5000-x = 5000-200 = 4800

$200 was invested at 14%; $4800 was invested at 9%.

7 0

3 years ago