The costume designer should use 1/8 of the fabric dedicated to sashes for each dress.
-7 and 8 are the solutions to the given equation system.
Therefore, the maximum distance between the y values of the two equations must lie exactly between their points of intersection. That is on x value:
x = (-7 + 8)/2 = 0.5
The maximum distance is:
y = 0.5 + 56 = 56.5
y = 0.5² = 0.25
56.5 - 0.25 = 56.25 units
Answer:
Percentage Rate=6%
Step-by-step explanation:
Total borrowed=$2,100
Time=3 years
Rate=?
Total amount owed after 3 years= total borrowed + simple interest
$2,478=$2,100 + x
X=$2,478 - $2,100
=$378
The simple interest=$378
Simple interest=P×R×T
Where,
P= principal=$2,100
R=Rate=?
T=Time=3 years
Simple interest=$378
Simple interest=P×R×T/100
$378=$2,100×R×3/100
$378=$6,300R/100
$378=$63R
R=$378/$63
R=6
Therefore,
Rate=6%
Tom:
Previous balance: 2,452.64
payment: 160
new transaction: 138
APR: 15.6%
We need to divide APR by 12 to get the monthly rate: 15.6% / 12 = 1.3%
2,452.64 - 160 = 2,292.64
2,292.64 * 1.3% = 29.80 interest for the month. We did not include 138 because it still is within the 1 month period and it is not subject to interest. Only the revolving amount of 2,292.64 has interest.
2,292.64 + 29.80 + 138 = 2,460.44 NEW BALANCE OF TOM
Marco:
Unpaid credit card balance: 4,332.75
APR: 18.6%
New transaction: 432
Divide APR by 12 to get the monthly rate: 18.6% / 12 = 1.55%
4,332.75 * 1.55% = 67.16
4,332.75 + 67.16 + 432 = 4,831.91 NEW BALANCE OF MARCO
Answer:
y = 
x
Step-by-step explanation:
Given that the quantities vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use either of the 2 given points
Using (12, 9), that is x = 12 when y = 9, then
k = 
= 
=
y = x ← equation of variation
