Answer:
trapezoid
Step-by-step explanation:
Both have the same denominator
Remove the denominator
5=n
Answer:
At 7% $54,000
At 9% $156,000
Step-by-step explanation:
Let x be the amount invested at 7%, Then 2x + 48000 will be the amount invested at 9%
We know that:
7% = 0.07 & 9% = 0.09
So we can write the interest equation as follows:
0.07x + 0.09 (2x + 48000) = 17820
0.07x + 0.18x + 4320 = 17820
0.25x + 4320 = 17820
Subtracting 4320 from both sides of the equation we get:
0.25x = 17820 - 4320
0.25x = 13500
Dividing both sides of the equation by 0.25 we get:
x = 13500 / 0.25
x = $54,000 invested at 7%
&
2 x 54000 + 48000
= $156,000 invested at 9%
Hence the amount invested at 7% is $54,000.
& the amount invested at 9% is $156,000.
Answer: X = 44.4 degrees
Step-by-step explanation: The figure given is a right angled triangle with two sides given as well as one angle unknown.
Angle X, which is the unknown, is the reference angle in this question. So we have an opposite which is the side facing the reference angle (line 7 units) and we have an hypotenuse which is the side facing the right angle (line 10). Having an opposite and an hypotenuse, we can use the trigonometric ratio of sine.
SinX = opposite/hypotenuse
SinX = 7/10
SinX = 0.7000
Looking up a table of values or checking the calculator, 0.7000 under sine of angles gives 44.4270
Therefore angle X is approximately 44.4 degrees (approximated to the nearest tenth)
Answer:
-5
Step-by-step explanation:
