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Allushta [10]
3 years ago
6

Bill earns £800 for 5 years in a savings account. By the end of the 5 years he had recieved a total of £96 si ple interest. Work

out the annual ratelf simple interest
Mathematics
1 answer:
lys-0071 [83]3 years ago
7 0

Answer:

the rate of SI is 2.7273% annually

though I'm not sure

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Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.
jeka94

Answer:

x=4+2\sqrt{3}

x=4-2\sqrt{3}

Step-by-step explanation:

<u>Completing the square</u>

when  ax^2+bx+c=0

Given equation:

3x^2-24x+40=28

Subtract 40 from both sides:

\implies 3x^2-24x=-12

Divide both sides by 3:

\implies x^2-8x=-4

Add the square of half the coefficient of x to both sides:

(\frac{b}{2})^2=(\frac{-8}{2})^2=16

\implies x^2-8x+16=-4+16

Factor the left side and simplify the right side:

\implies (x-4)^2=12

Square root both sides:

\implies x-4=\pm\sqrt{12}

Add 4 to both sides and simplify the radical:

\implies x=4\pm\sqrt{4 \cdot 3}

\implies x=4\pm\sqrt{4}\sqrt{3}

\implies x=4\pm2\sqrt{3}

5 0
2 years ago
Mary Stevens earns $6 an hour at her job and is entitled to time-and-a-half for overtime,and double time on holidays. last week
Kay [80]
You can make an equation with the information given: Earnings = 6 * r + (1.5*6)o + (6*2) h = 6r + 9o + 12h. Where r is the number of regular hours worked, o is the number of overtime hours and h is the number of holiday hours. Now r = 40, o = 6.5, and h = 8. So, Earnings = 6(40) + 9(6.5) + 12(8) = 39405. <span>Answer: $394.5</span>
4 0
3 years ago
An equation of the line with a slope of 2 and y-intercept of 9
7nadin3 [17]

Answer:

y = 2x + 9

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = 2

y-intercept <em>b</em> = 9

<u>Step 2: Write linear equation</u>

Slope-Intercept Form:   y = 2x + 9

3 0
3 years ago
Solve for b -233=6(3+7b)+1 a. -10 b. -3 c. -6 d. -13
Svet_ta [14]

Answer: b = -6

Step-by-step explanation:

-233 = 6(3+7b) +1

-233 = 18 + 42b +1

-233 - 18 - 1 = 42b

-252 = 42b

-252/42 = b

b = -6

4 0
3 years ago
Read 2 more answers
Angela decides to recycle a large oatmeal container by using it to hold a friends birthday gift. Then she wraps the container in
Deffense [45]

Answer:

D. 135.37 in²

Step-by-step explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle = \frac{4}{2} = 2 inches

Since, the area of a circle = \pi r^{2}

This implies that area of the two circles = 2\times \pi r^{2}

i.e. Area of the circles =  2\times \pi 2^{2}

i.e. Area of the circles =  8\pi

i.e. Area of the two circles = 25.133 in²

Further, one side of the square = 10.5 inches

Thus, the area of the square = side^{2}

i.e. Area of the square = 10.5^{2}

i.e. Area of the square = 110.25 in²

So, the overall area of the gift paper = 25.133 + 110.25 = 135.37 in².

Hence, the amount of paper used by Angela is 135.37 in².

7 0
3 years ago
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