Answer: P(-7.38,-12.85)
Steps:
Draw the directed line in a chart, including points A and B.
Look for the x coordinate of P:
the distance |B-A| along the x coord is |0-(-16)|=16
we are looking for a proportion of 7/13 of that:
the x coord of P is 16*7/13 to the right of -16, or -16+8.62= -7.38
Look for y coordinate of P:
the distance |B-A| along the y coord is |-17-(-8)|=9
we are looking for a proportion of 7/13 of that:
the y coord of P is 9*7/13 down from -8, or -8-4.85= -12.85
so the point P is P(-7.38,12.85)
Answer:
total price inluding tax is $40.95
Step-by-step explanation:
phone cost: $39
Tax amount: 5% of $39 -> 39 x 0.05 = $1.95
phone cost + tax:
$39 + $1.95 = $40.95
Answer:
(a) $60 | (b) $660
Step-by-step explanation:
We can use the simple interest formula for this:
<em>I = interest amount</em>
<em>P = principal amount</em>
<em>r = interest rate (decimal form)</em>
<em>t = time (years)</em>
<em />
First, change 5% into its decimal form:
5% -> 
-> 0.05
Next, plug in the values into the equation:
<em>The interest earned is $60. To find the total balance, just add the $600 back.</em>
The total interest earned is $60 and the total is $660.
Answer:
<u>Δ MNO ≅ Δ PQR by ASA postulate</u>
Step-by-step explanation:
Δ MNO and Δ PQR are congruents because:
1. Their included sides MN and PR are equal (22 units = 22 units)
2. Their angles ∠M and ∠P are equal (100° = 100°)
3. Their angles ∠N and ∠Q are equal (35° = 35°)
<u>Now, we can conclude that Δ MNO ≅ Δ PQR by ASA postulate.</u>
Answer:
D
Step-by-step explanation:
Any number multiplied by an even number will always be even. 10 is an even number.
