Maria Addai has been offered a future payment of $990 two years from now. If she can earn 8.2 percent compounded annually on her
2 answers:
Answer:
845.6306
Step-by-step explanation:
Firstly this is annuity based
Let, investment at beginning of year = <em>x</em>
Then value at year 1 end = x + (8.2% x)
Value at end of year 2 = (x + 0.082x) + (8.2% (x + 0.082x))
Now this value = $990
Therefore,
990 = (x + 0.082x) + ((x + 0.082x) 8.2%)
990 = x + 0.082x + 0.082x + 0.006724x = 1.170724x
x = 990/1.170724 = 845.6306
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Answer:
The value of x is 12 feet
Step-by-step explanation:
The shape in question is a composite shape. We can see that x is both the base of the triangle and the breadth of the rectangle.
To get the area of the shape, we will have to add the area of the rectangle to the area of the triangle.
Area of rectangle = length X breadth
Area of triangle = 1/2 base X height.
However, to calculate the area of the triangle, we need to find its height first.
The next step is to get the height of the triangle. Observing the shape properly, we can see that we can get the height by subtracting the length of the rectangle from the overall length of the shape.
Height of triangle = 16 ft - 10 ft = 6 ft
recall area = 156 square feet.
We now have most of our missing dimensions
We can now set up an equation as follows:
Therefore the value of x is 12 feet
QUESTION 1
The given expression is
The greatest common factor is .
We factor to obtain;
QUESTION 2
The given quadratic equation is
We split the middle term to obtain
Factor by grouping;
Use zero product property;
QUESTION 3
The given system of equation is
If we multiply by 3, we obtain;
If we multiply by 4 we obtain;
Adding the last two equations will give us;
The y-variable is eliminated.
Answer:Multiply 3x+4y=−8
by 3. Multiply 7x−3y=6 by 4. Add the resulting equations together.