Answer:
Step-by-step explanation:
From the given information:
Let assume that the invested amount in the investment paying 8% interest is a
Now, since the total amount invested = $3000.
Then, the amount invested in the investment that will be paying 10% interest can be represented as:
= $(3000-a)
Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a
Income earned from $(3000-a) in the 10% investment is:
= $(3000-a)× 10/100
= $(300 - 0.1a)
Since total income of the two investment = $290;
Then;
0.08a + (300 - 0.1a) = 290
0.08a + 300 - 0.1a = 20-
300 - 0.02a = 290
-0.02a = -10
a = -10/-0.02
x = 500
Thus;
the amount invested in an investment paying 8% interest = $500
the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500
A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.
A parabola equation is what is it?
A parabola's general equation is written as y = a(x - h)2 + k or x = a(y - k)2 + h.
To determine the equation of a parabola, we can utilize the vertex form. Assuming we can read the coordinates (h,k) from the graph, the aim is to utilize the coordinates of its vertex (maximum point, or minimum point), to formulate its equation in the form y=a(xh)2+k, and then to determine the value of the coefficient a.
To learn more about Parabola refer to:
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Answer- 86 and 49
Step-by-step explanation: 86+49=135
86-49=37
Answer:
106 degrees
Step-by-step explanation:
Since all the angles add up to 360 degrees we can find the value of x first and then substitute that value into angle VUX (12x+10)
11x + 1 + 12x + 10 + 75 + 90 = 360
23x + 176 = 360
23x = 184
x = 8
when x = 8,
<VUX = 12x + 10 = 12(8) + 10 = 106 degrees