Answer:
B
Step-by-step explanation:
First
Get totals for food items:
Pizza $14.95 ×2=$29.90
Salad=$4.35
Drinks $2.49 ×4=$9.76
Total Bill
$29.90
$ 4.35
<u>+</u><u>$</u><u> </u><u>9.76</u>
$44.21 Food Bill
Second Step
Find Tip Amount Before Tax
Total Bill $44.21 × .15=$6.63 Tip
Third Step
Find Tax on Total Food Bill
$44.21 × .07675=$3.39
Fourth Step
Find amount left from paying bill with tax.
Total Bill including tax:
$44.21 (bill) +$3.39 tax=$47.60
Cash $ 50.00
Total Bill - $<u>47.60</u>
$ 2.40 Change left over
Fifth Step
Find amount needed to give $6.63 tip from above.
We have $2.40 we need $6.63
Subtract $6.33 -$2.40=$4.23 more money needed for tip
The correct answer would be B.
Given:
Miguel's height:
Actual = 5 feet 10 inches
Shadow = 4 feet 2 inches
Tower's height
Actual = x
Shadow = 8 feet 9 inches
First, we need to convert the height into inches to avoid confusion.
1 foot = 12 inches.
Miguel:
5 ft x 12in/ft = 60 inches + 10 inches = 70 inches ACTUAL
4 ft x 12in/ft = 48 inches + 2 inches = 50 inches SHADOW
Tower:
8 ft x 12in/ft = 96 inches + 9 inches = 105 inches SHADOW
Ratio of Actual to shadow:
Miguel: 70 : 50
Tower: x : 105
70 : 50 = x : 105
70*105 = 50x
7350 = 50x
7350 / 50 = x
147 = x
Actual height of the tower is 147 inches or 12 feet 3 inches long.
To check:
Miguel : 70 / 50 = 1.40
Tower : 147 / 105 = 1.40
Given function : 
We need to identify a " initial amount", b "growth factor", r " rate of growth".
We know, exponential growth formula
, where a is initial amount, b is growth factor. On comparing with given function let us find values of a and b.
⇔ .
We can see a= 1.05 and b = 1.46.
Now, b=1+r.
Therefore, 1+r =1.46.
Subtracting 1 from both sides, we get
1+r-1 =1.46-1
r = 0.46.
On converting 0.46 into percentage, we get
0.46 × 100 = 46.
Therefore, intial amount a = a= 1.05 , growth factor b = 1.46, and the rate of growth r= 46%.
