Answer:
%30 off is the better price
Step-by-step explanation:
firstly we know that 2 - 12 is equal to 10 so that is $10.00 there from that coupon
to find out the second value, we first devide by the total amount (%100 in this case)
<em>12 / 100 = 10.12</em>
then we multiply by the partial amount (%30)
<em>0.12 * 30 = 3.6</em>
convert that into a dollar amount and we get the total discount in dollars
<em>3.60 = $3.60</em>
AND
<em>$3.60 > $2.00</em>
<em />
hope this helps ya, take care mate :D
I'd suggest using "elimination by addition and subtraction" here, altho' there are other approaches (such as matrices, substitution, etc.).
Note that if you add the 3rd equation to the second, the x terms cancel out, and you are left with the system
- y + 3z = -2
y + z = -2
-----------------
4z = -4, so z = -1.
Next, multiply the 3rd equation by 2: You'll get -2x + 2y + 2z = -2.
Add this result to the first equation. The 2x terms will cancel, leaving you with the system
2y + 2z = -2
y + z = 4
This would be a good time to subst. -1 for z. We then get:
-2y - 2 = -2. Then y must be 0. y = 0.
Now subst. -1 for z and 0 for y in any of the original equations.
For example, x - (-1) + 3(0) = -2, so x + 1 = -2, or x = -3.
Then a tentative solution is (-3, -1, 0).
It's very important that you ensure that this satisfies all 3 of the originale quations.
You can solve this by using "similar triangles".
In triangle ABC, we are looking for side AC which is x. Side AC is similar to side DF in triangle EDF.
You can solve for side x by picking two sides in triangle ABC and their corresponding sides in triangle EDF. This is what I mean:
Substitute for the values of AC, BC, DF and EF:
To solve for y, do the same thing. Pick two sides on triangle ABC and their corresponding sides in triangle DEF.
Substitute for the values and solve:
We have the value x to be 5.5 units and y to be 6 units.
Answer:
1. 8.3%
Step-by-step explanation:
Relative error = absolute error/expected measurement
The expected measurement is given as 6 ft.
Now, the absolute error is usually equal to half of a unit of the measure.
This means the absolute error in this case is ½ × 1 = 0.5 ft
Thus, the exact measurement will be;
6 ± 0.5
Thus;
Relative error = 0.5/6
Relative error = 0.083
Expressing it in percentage gives 8.3%
Answer:
The amount is $16718.7 and the interest is $4718.7.
Step-by-step explanation:
STEP 1: To find amount we use formula:
A=P(1+rn)n⋅t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
P=$12000 , r=3.33% , n=4 and t=10 years
After plugging the given information we have
AAAA=12000(1+0.03334)4⋅10=12000⋅1.00832540=12000⋅1.393225=16718.7
STEP 2: To find interest we use formula A=P+I, since A=16718.7 and P = 12000 we have:
A16718.7II=P+I=12000+I=16718.7−12000=4718.7
