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Semenov [28]
2 years ago
8

Beth invests £5600 at a sample interest rate of 11% per year

Mathematics
2 answers:
FinnZ [79.3K]2 years ago
8 0

Answer:

5600 ×11/100 = 616

616 × 3 = 1848

£5600 + £1848 = £7448

Step-by-step explanation:

hjlf2 years ago
3 0

Step-by-step explanation:

its a simple interest rate

5600 ×11/100 = 616

616 × 3 = 1848

£5600 + £1848 = £7448

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Which values of m and b will create a system of equations with no solution? choose 1 options.
hichkok12 [17]

Answer:

The graph of a linear equation is a straight line.  The "solution" to a system of two linear equations is the point where the two lines cross.  If the two lines are parallel, they never cross; hence parallel lines have no solution.  Two lines are parallel if they have the same slope (the m value in y = mx+b).  One of your equations is y = -2x + (you left the y-intercept out).  The slope is -2.  So any line with a slope of m = -2 will be parallel to this line and will not cross it.  The second line also needs a different value of b, the y-intercept.  Otherwise it is the same line and every point is a solution.  So if your equation is:

 

y = -2x + 1

 

Then any equation of the form y = -2x + b, b≠1 will create a system with no solution.  Hence the values of m and b are m = -2, b ≠ 1.

5 0
2 years ago
A car travels 17 miles on one gallon of gas
zmey [24]

When x =170, y =10, when x = 187, y = 1, when x = 204, y = 12, when x = 221, y = 13, when x = 238, y = 14, when x = 255, y = 15, when x = 272, y = 16, when x = 289, y = 17, when x = 306, y = 18, when x = 323, y = 19, when x = 340, y = 20,

Step-by-step explanation:

Step 1; Assume y is the gallons in the tank while x is the range of the car. We need to determine the equation relating the y to the x values in the given coordinates. x is the dependent value whereas y is the independent value i.e. the value of x depends on the value of y.

Step 2; As y increases, x also increases. For every extra gallon in the tank, the car can go another 17 miles. So with y as the amount of gas in the tank in gallons and x as the range of vehicle, we get;

x = 17y, this represents the relation between x and y.

To find the gallons in the tank, y = \frac{x}{17},

For x = 170, y = \frac{170}{17} = 10,

Similarly equating the values we get that when x = 187, y = 11,

when x = 204, y = 12,

when x = 221, y = 13,

when x = 238, y = 14,

when x = 255, y = 15,

when x = 272, y = 16,

when x = 289, y = 17,

when x = 306, y = 18,

when x = 323, y = 19,

when x = 340, y = 20,

8 0
2 years ago
Calculate the standard score of the given X value, X=28.3, where μ=26.3 and σ=28.1 and indicate on the curve where z will be loc
zmey [24]

Answer:

Standard score z=0.07

Step-by-step explanation:

The z-score, or standard score, represents an equivalent value for X but in the standard normal distribution, where μ=0 and σ=1.

For X=28.3 in a normal distribution with μ=26.3 and σ=28.1, the standard score can be calculated as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{28.3-26.3}{28.1}=\dfrac{2}{28.1}=0.07

This value is 0.07 standard deviations right to the mean.

In the picture attached, we have located the z-score.        

5 0
3 years ago
Sara has 16 red flowers and 24 yellow flowers. She wants to make a bouquet with the same number of each color flowers in each bo
Nimfa-mama [501]
Sara can make 8 bouquets, with 3 yellow flowers and 2 red ones in each bouquet. How pretty !
4 0
3 years ago
What are the solutions to the equation (2x - 5) (3x - 1) = 0
SCORPION-xisa [38]

Answer:

x = 5/2 & x = 1/3

Step-by-step explanation:

Create two equations and solve

1) 2x-5 = 0 & 2) 3x-1 = 0

1) 2x = 5

x = 5/2

2) 3x = 1

x = 1/3

You create two equations as you want the left hand side (LHS) to equal 0 (RHS), thus if one of the brackets becomes 0 it will result in the whole LHS beocming 0 as the brackets are being multiplied (anything multiplied by 0 = 0)

6 0
3 years ago
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