1st find the averages of each one:
Elizabeth average of reading in min =(18+36+15+45+88+57+12)/7 =38.71 min
Sam average of reading in min =(17+52+48+35+13+71+16)/7 =36 min
question:
1) No
2) YES. [the range is te difference between the largest & the smallest)
Eliz Range = 88-12 =76 & Sam's= 71-13 = 58
3) NO. Sam 71 min & Eliz 88 min
4) YES. Median Eliz =45 min. Median Sam =35 min
Answer:
x=-6 and y=-3
mrk me brainliest plz
Step-by-step explanation:
Step: Solve−3x+y=15 for y:
−3x+y=15
−3x+y+3x=15+3x (Add 3x to both sides)
y=3x+15
Substitute 3x+15 for y in−3x+7y=−3:
−3x+7y=−3
−3x+7(3x+15)=−3
18x+105=−3(Simplify both sides of the equation)
18x+105+−105=−3+−105 (Add -105 to both sides)
18x=−108 divide both side by 18
x=-6
We will have to solve for the rate of both accounts.
We'll use this complicated formula:
<span>log(1 + rate) = {log(total) -log(Principal)} ÷ Years
One account doubles the money every 8.5 years:
(We'll make total = 2 and principal = 1)
</span><span>log(1 + rate) = {log(2) -log(1)} ÷ 8.5
</span><span>log(1 + rate) = 0.30102999566 / 8.5
</span>log(1 + rate) =
<span>
<span>
<span>
0.0354152936
</span>
</span>
</span>
10^<span>0.0354152936 = </span>
<span>
<span>
<span>
1.0849639136
</span>
</span>
</span>
rate = <span><span><span>8.49639136
</span>
</span>
</span>
The other account triples the money every 10 years:
<span>(We'll make total = 3 and principal = 1)
</span><span>log(1 + rate) = {log(3) -log(1)} ÷ 10
</span><span>log(1 + rate) = 0.47712125472 / 10
</span>log(1 + rate) = 0.047712125472
10^0.047712125472 =
<span>
<span>
<span>
1.116123174
</span>
</span>
</span>
rate = <span><span><span>11.6123174
</span>
</span>
</span>
Okay, NOW we have to calculate when will $750 invested at <span>8.49639136 interest equal $500 </span>invested at <span> interest </span><span>11.6123174?
</span>
That seems difficult to solve exactly because we have 2 unknowns:
We don't know the AMOUNT of money when one account equals the other and we don't know the TIME it will take.
<span><span>Amount 1 = 750 * (1.0849639136)^years
</span>
</span>Amount 2 = 500 * (<span>1.116123174)^years
I don't know how to solve for those equations when Amount 1 = Amount 2.
However, I was able (by trial and error) to determine a precise answer.
In 14.32005 years, both accounts will equal $2,411.07.
</span>
Answer:
scale factor: 3
Step-by-step explanation:
For this I will take both A and A' points. So A is (2,2) and A' is (6,6) and since the shape increased in size that means our scale factor must be greater than 1. So all that we have to do is know is how did we get from this x value to that x value or in other words 2 times what equals 6 and it's 3. Then we would do the same for the y value but since it would be the same 2 times what equals 6 and it's still 3 so 3 is the scale factor.