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olganol [36]
3 years ago
10

What is your x– intercept when m = 2 and b = 4 ??

Mathematics
1 answer:
katrin [286]3 years ago
7 0
Y=mx+b
y=2x+4
at x-intercept, y=0.
sub y=0 into y=2x+4
2x+4=0
2x=-4
x=-4÷2
x=-2
x-intercept: (-2,0)
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Use the simple interest formula to find the ending balance 5000 at 5% for 3.5 years
Evgesh-ka [11]

Answer:

Given:  Principal(P) = $ 5000 , T = 3.5 years and R = 5%.

Using the formula of Simple Interest (I) given by;

I = \frac{P\times R \times T}{100} .......[1] , where P is the Principal amount of money to be invested, R be the rate of interest and T be the time.

Substitute the given values of P ,  R and T in [1] we have;

I = \frac{P \times R \times T}{100} = \frac{5000\times 5 \times 3.5}{100}

I = 50 \times 5 \times 3.5 = 250 \times 3.5

Simplify:

I = \$ 175

An Ending balance is calculated by subtracting cash outflows, interest paid for financing and principal paid on financing.

Ending Balance = $ 5000 + $ 175 = $ 5,175.

Therefore, the ending balance is $ 5,175



3 0
4 years ago
The area of a rectangle is 63m^2 and the length of the rectangle is 11m more than twice the width. Find the length and width.
AleksandrR [38]

Answer:

width = 3.5 m

length = 18 m

Step-by-step explanation:

area = length x width

x is the width then length = 2x + 11

x(2x + 11) = 63

2x^2 + 11x - 63 = 0

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

with a = 2

       b = 11

       c = -63

substitute in the formula

x = [-11 +/- √(11^2 - 4(2)(-63))]2(2)

x = [-11 +/- √(121 + 504)]/4

x = [-11 +/- √625]/4

x = (-11 +/- 25)/4

x1 = (-11 + 25)/4 = 14/4 = 3.5

x2 = (-11 - 25)/4 = -36/4 = -9

since width can't be a negative number, x is 3.5

length = 2x + 11 = 2(3.5) + 11 = 18

7 0
2 years ago
The lowest point in Death Valley is Badwater at 282 feet below sea level. The highest point in
Finger [1]

Answer:

Step-by-step explanation:

Given

Badwater = -282ft

Telescope\ Peak = 11043ft

The position of badwater is negated because it is below sea level

The interpretation of the question, is to calculate the distance between the two given points.

This is calculated as:

Difference = Telescope\ Peak - Badwater

Difference = 11043ft - (-282ft)

Open bracket

Difference = 11043ft+282ft

Difference = 11325ft

<em>Hence, the distance between both is 11325ft</em>

8 0
3 years ago
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masya89 [10]
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Answer:

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