Jack paid $ 23000 for the ring.
<u>Solution:</u>
Given that, Jack Matthew bought a new diamond ring for $20,000
Sales tax is 5% with a 10% excise tax
<em><u>To find: total price including taxes</u></em>
Given that sales tax is 5% of 20,000
Also given that excise tax is 10%
<em>Total price = cost price + sales tax + excise tax</em>
Total price = 20,000 + 1000 + 2000
Total price = 23000
Hence, jack paid $ 23000 for the ring.
Answer:
Step-by-step explanation:
Remark
The two angles with x in them are = 90 degrees. That's because this is a right angle triangle.
Equation
x^2 + 10x + 115 = 90 Subtract 90 from both sides
Solution for x
x^2 + 10x + 115 - 90 = 0
x^2 + 10x + 25 = 0
Factor
(x + 5)(x + 5) = 0
x = - 5
Angle C
C = 10x + 115
C = 10*-5 + 115
C = -50 + 115
C = 65
<em>Angle A (which you don't need)</em>
x^2 = (-5)^2
x^2 = A = 25
Find BC
Cos(C) = adjacent / hypotenuse
Cos(65) =0.4226
AC = hypotenuse = 65
0.4226 = adjacent / 44 Multiply both sides by 44
44 * 0.4226 = adjacent
adjacent = 18.6 to three places.
Answer: Hello mate!
Two independent events, mean that the fact that, if the event A occurred, this has no effect in the probability of the event B to occur after.
For example, a coin flip.
The first result has no effect on the next result.
Then the notation P(A/B) is the probability of the event A when the event B occurred before, but as we know, the fact that the event B occurred before has no effect in it; so:
P(A/B) = P(A) = 0.30
Y = 16x^2 + 36
Lets find the intercepts, making x and y to zero and solving:
<span>0 = 16x^2 + 36
</span><span>16x^2 = -36
</span>therefore there is not x-intercept, that is, when y equals zero the function does not have a value, is not defined.
Now, the y intercept, that is when x equals zero:
<span>y = 16x^2 + 36
</span><span>y = 16(0)^2 + 36
</span>y = 36
so, when x = 0, y = 36, that is, the function hits the y axis when x = 0
