Given :-
- y varies directly as x, and y=14 when x=4.
To Find :-
- the value of y when x=9 .
Solution :-
<u>A</u><u>c</u><u>c</u><u>o</u><u>r</u><u>d</u><u>i</u><u>n</u><u>g</u><u> </u><u>t</u><u>o</u><u> </u><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>,</u>
<u>When</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>1</u><u>4</u><u> </u><u>a</u><u>n</u><u>d</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>4</u><u> </u><u>,</u>
<u>W</u><u>h</u><u>e</u><u>n</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>9</u><u> </u><u>,</u>
- y = 7/2*9
- y = 63/2
- y = 31.5
Answer:
6.1
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) * h where b1 and b2 are the lengths of the bases
108.6 = 1/2 ( 12+p) *12
108.6 = 6 (12+p)
Divide each side by 6
108.6 /6 = 12+p
18.1 = 12+p
Subtract 12 from each side
18.1-12 = 12+p-12
6.1 = p
This is an isosceles triangle. The angles at the base are congruent (they have the same measures).
Look at the picture.
We know: The sum of the measures of angles in a triangle is equal 180°.
Therefore we have the equation:
<em>combine like terms</em>
<em>subtract 5 from both sides</em>
<em>divide both sides by 7</em>
<h3>Answer: D. m∠C = 40</h3>
Answer: $70400
Step-by-step explanation:
Attached is the question:
Based on the information given in the question:
Value of Stock X = 5000 × $4.30 = $21500
Value of Stock Y = 2000 × $3.20 = $6400
Value of Stock Z = 8000 × $4.90 = $39200
Total Stock Value = $67100.
Since there's a 4.9% increase in value of index, the value of the index at end of the day will be:
= $67100 × (100% + 4.9%)
= $67100 × 104.9%
= $67100 × 1.049 =
= $70388
= $70400 approximately
