Answer:
<h2>$99.84</h2>
Step-by-step explanation:
Step one:
given data
we are told that before tax the bill is pretax= $78
the tax is 8%
and he left 20% of the pretax for the attendant.
Step two:
let us find the amount he paid for eating with tax
=8/100*78
=0.08*78
=$6.24
with tax the meal cost is
= 78+6.24
=$84.24
let us solve for the tip he left (note: it is 20% of the pretax)
=20/100*78
=0.2*100
=$15.6
the tip is $15.6
Step three:
<u>the total amount he paid after eating plus tax and tip is </u>
78+6.24+15.6
=$99.84
After 10 years, there will have been 120 deposits. The last one earns 12%/12 = 1% interest, so is mutipied by 1.01. The one before is multiplied by 1.01². Overall, you have the sum of a geometric series of 120 terms with first term 10.10 and common ratio 1.01. That sum is given by the general formula
Sn = a1·(r^n -1)/(r -1)
S120 = 10.10(1.01^120 -1)/(1.01 -1)
S120 = 1010·2.30038689 ≈ 2323
At the end of the 10th year (before the first deposit of the 11th year), the account balance will be
$2,323
Answer:
Modified court is not similar to the standard court
Step-by-step explanation:
Given that :
Dimension of standard tennis court:
36ft by 78ft
Net height = 3 ft
Dimension of Modified Court :
27ft by 60ft
Net height = 3ft
To examine similarity :
We obtain the dilation factor for width and length :
(Standard court length / modified court length)
= 36 ft / 27 ft
= 4 / 3
Width :
Standard court width / modified court width)
= 78 ft / 60 ft
= 13 / 10
Since the dilation factor for the width and length are different, then we can conclude that the standard and modified court are not similar
Answer:
11/72
Step-by-step explanation:
Answer:
√3= ![\sqrt[2]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B3%7D)
=
x+1=1/2
x=1/2-2/2=
Step-by-step explanation:
Hope it helps!
