105% =$34.02
100% (cost without sales tax) = 34.02/1.05 =$32.40
Answer: LAST OPTION.
Step-by-step explanation:
1. You have the following equation:

2. Then you must solve for x, as following:

Therefore, as you can see above, the answer for the exercise is the last option.
Answer:
15cm
Step-by-step explanation:
scale factor =image diatace/object distance
0.75=x/20
0.75×20=x
15=x
: .x=15cm
Answer:
10 grams or 0.010kg
Step-by-step explanation:
The mass of the bag used to make flour is 2.26 kg = 2260 grams
Now, in order to find out how many badges she made, we would need to divide the weight of the bag by the amount needed to make a badge.
Therefore: 
We know now that the bag will make 5 batches and will have some left over. In order to find how much we used, we can multiply 5 * 450 = 2250.
Therefore, in order to make 5 batches, Maria used exactly 2250 grams of flour which in result left us with 10 grams of the bag.
Note: 2260 -2250 = 10 grams.
Subtract, in order to find how many you have left.
Hope this helps.
Answer:
The correct answer is a. $2275.28; b. 17.04 years
Step-by-step explanation:
Principal to be invested is $2000
Interest rate (r) per year is 6.5 quarterly.
Interest is calculated compoundly.
a. Time (t) for the investment is given to be 2 years.
Amount after two years is = Principal ×
where the value of n is 4.
⇒ A = 2000 × 
⇒ A = $2275.28.
b. Now the value of A is given to be triple the principal = $ (3 × 2000).
Therefore we need to find the value of t.
⇒ 3 × 2000 = 2000 × 
⇒ ㏑ 3 = 4t × ㏑ ( 1.01625)
⇒ t = 17.04
Therefore it would take 17.04 years for the principal to triple.