Answer: 12
Step-by-step explanation:
Answer:
4 months
Step-by-step explanation:
<u>Club A</u>
<em>registration fee: </em>$0
<em>monthly fee</em>: $105
<em>After</em><em> </em><em>every</em><em> </em><em>month</em><em>,</em><em> </em><em>the</em><em> </em><em>total</em><em> </em><em>cost</em><em> </em><em>increases</em><em> </em><em>by</em><em> </em><em>$</em><em>1</em><em>0</em><em>5</em><em>.</em>
month 0: $0
month 1: $105
month 2: $210
month 3: $315
month 4: $420
month 5: $525
month 6: $630
<u>Club</u><u> </u><u>B</u>
<em>registration</em><em> </em><em>fee</em><em>:</em><em> </em><em>$</em><em>375</em>
<em>monthly</em><em> </em><em>fee</em><em>:</em><em> </em><em>$</em><em>8</em><em>0</em>
<em>Notice how</em><em> </em><em>Club</em><em> </em><em>B's</em><em> </em><em>total</em><em> </em><em>reaches</em><em> </em><em>Club</em><em> </em><em>A's</em><em> </em><em>total</em><em> </em><em>after</em><em> </em><em>2</em><em> </em><em>months</em><em>.</em>
month 0: $375
month 1: $455
month 2: $535
month 3: $615
month 4: $695
Answer:
A.) 55/8
Step-by-step explanation:
To make 6 7/8 an improper fraction, multiply the whole number by the denominator and add the result to the numerator.
That’s
6 x 8 = 48
48 + 7 = 55
Also, the denominator of the mixed number still remains the denominator of the improper fraction.
That’s
55/8
Answer:
Hence, ∠ABP=10°
Step-by-step explanation:
We are given that:
AB and CD are tangents of the circle.
Now we are given that m∠ACP=10°.
Also we are given that AP and CP are radius of the given circle that means length of AP and CP are equal.
Also we know that angle opposite to the equal sides are equal that means:
∠ACP=∠PAC.
Hence , ∠PAC=10°.
Also in a triangle the sum of all the angles is 180°.
i.e. ∠ACP+∠PAC+∠APC=180°
this means that 10+10+∠APC=180°
∠APC=180-20
∠APC=180-20=160°
As AB and CD are tangents to the circles that means:
∠BAP=∠BCP=90°
Also APCB is a quadrilateral and we know that sum of all the angles of a quadrilateral=360°
Hence,
∠BAP+∠BCP+∠APC+∠ABC=360°
⇒ 90+90+160+∠ABC=360
⇒ 180+160+∠ABC=360
⇒ 340+∠ABC=360
⇒ ∠ABC=360-340=20°
also ∠ABP=(1/2)∠ABC
Hence, ∠ABP=(1/2)×20°=10°
Hence, ∠ABP=10°
$34 is a proper 20% tip on a $171.81 dinner. Move the decimal point twice to the left, then multiply that twice.
