Answer:
The amount invested at 9% is $93000
The amount invested at 10% is $303000
Step-by-step explanation:
Let the amount invested at 9% interest rate be x
And the amount invested at 10% rate be y
Simple Interest from x in a year = 0.09x
Simple Interest from y in a year = 0.1y
But y = 24000 + 3x
And the sun of the interests, 0.09x + 0.1y = 38670
Now we have a simultaneous eqn
y = 24000 + 3x (eqn 1)
0.09x + 0.1y = 38670 (eqn)
Substitute y into eqn 2
0.09x + 0.1(24000 + 3x) = 38670
0.09x + 2400 + 0.3x = 38670
0.39x = 38670 - 2400
x = 36270/0.39 = $93000
y = 24000 + 3x = 24000 + 3 × 93000 = $303000
Answer:
<em>a</em><em>)</em><em>=</em><em> </em><em>5x</em><em>+</em><em>10</em>
<em>b</em><em>)</em><em>=</em><em> </em><em>7y-6</em>
<em>c</em><em>)</em><em>=</em><em> </em><em>6x-6</em>
<em>d</em><em>)</em><em>=</em><em> </em><em>2x</em><em>^</em><em>2</em><em>+</em><em>8x-5</em>
<em>e</em><em>)</em><em>=</em><em> </em><em>6x</em><em>+</em><em>9</em>
<em>f</em><em>)</em><em>=</em><em> </em><em>4xy-4y</em><em>^</em><em>2</em><em>+</em><em>8y</em>
<em>g</em><em>)</em><em>=</em><em> </em><em>-12y</em><em>^</em><em>2</em><em>+</em><em>10y</em>
<em>h</em><em>)</em><em>=</em><em> </em><em>6x</em><em>+</em><em>154</em>
<em>i</em><em>)</em><em>=</em><em> </em><em>6x</em><em>+</em><em>21</em>
<em>h</em><em>)</em><em>=</em><em> </em><em>2x</em><em>^</em><em>2</em><em>+</em><em>16</em>
Answer:
The second one "Ben runs 3 miles a day"
Step-by-step explanation:
No because in 19.545, the 9 is bigger than the 5 in 95.045 (the first 5)
Answer:
see below
Step-by-step explanation:
A. Reflection across the y-axis replaces each x coordinate with its opposite.
B. Rotation 90° CW does the transformation (x, y) ⇒ (y, -x)
C. This is a translation left 2 units.
D. Rotation 90° CCW does the transformation (x, y) ⇒ (-y, x)
E. This is a translation left 7 and down 2.
__
In the attached graphs, we have identified a point that is a corresponding point on each figure. This is so you can see how the various transformations move it and the rest of the figure in relation to it. 90° arcs are shown so you can see the rotations more easily.
The figures are labeled and color coded in accordance with the problem statement.
