The measure of the angle ADC is 20°
<u>Explanation:</u>
Given:
∠ABC = 40°
∠ADC = ?
We know:
Angle subtended at the center is twice the angle subtended at the circumference.
Thus,
∠ABC = 2 x ∠ADC
On substituting the value we get:
40° = 2 X ∠ADC
∠ADC = 20°
Therefore, the measure of the angle ADC is 20°
Answer:
First Price - 130% of original price
Marked Price(Second Price) - 0.85 of the first price
Second Price: 0.85 x 1.3 x 1 = 1.105
1.105 - 1 = 0.105(10.5%)
In conclusion, the shopkeeper is making a percentage profit of 10.5%.
Answers:
2% bond: $11000
4% bond: $13000
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Explanation:
x = amount invested in the 4% bond
y = amount invested in the 2% bond
Amounts are in dollars
The two amounts add to $24,000 so
x+y = 24000
y = -x+24000 is one equation to set up
0.04x = interest earned from the 4% bond
0.02y = interest earned from the 2% bond
0.04x+0.02y = total interest earned = $700
0.04x+0.02y = 700 is another equation to set up
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The system of equations is
Apply substitution. Solve for x.
0.04x+0.02y = 700
0.04x+0.02(-x+24000) = 700
0.04x-0.02x+480 = 700
0.02x= 700-480
0.02x= 220
x= 220/(0.02)
x = 11000
Use this to find y
y = -x+24000
y = -11000+24000
y = 13000
Answer:
Sorry,I don't have credit card ...Hope get it in future