X = Lilys weight
x + 34 = Arthurs weight
4x - 180 = combined weight
x + x + 34 = 4x = 180
2x + 34 = 4x - 180
-2x -2x
_________________
34 = 2x -180
+180 + 180
_______________
214 = 2x
107 = x which is Lily's weight
141 = x + 34 which is Arthur's weight
The total weight is 248
which is the answer that you get when you do 4(107) = 180 or
428 -180 = 248
All the numbers are multiplied by 2 or doubled.
So the missing number after 2 is 4.
After 16 is 32.
Answer:
Mochi
Step-by-step explanation:
Mochi
Each week theres a increase of 4 in Mochi's weight. So you will add 4 twice to get to the 5th week.
4th week : 17
5th week : 21
Kappa
In 4 weeks Kappa weighed 14, which is less that Mochi at the pace Kappa is going at.
on the 3rd week Kappa weighed 11
and 2nd week Kappa weighed 5
and 1st week Kappa weighed 3
Looking at the graph, we can give a rough estimate on the 5th week it's going to be 16 or 17 either way making Mochi heavier.
9514 1404 393
Answer:
14.1 years
Step-by-step explanation:
Use the compound interest formula and solve for t. Logarithms are involved.
A = P(1 +r/n)^(nt)
amount when P is invested for t years at annual rate r compounded n times per year.
Using the given values, we have ...
13060 = 8800(1 +0.028/365)^(365t)
13060/8800 = (1 +0.028/365)^(365t) . . . . divide by P=8800
Now we take logarithms to make this a linear equation.
log(13060/8800) = (365t)log(1 +0.028/365)
Dividing by the coefficient of t gives us ...
t = log(13060/8800)/(365·log(1 +0.028/365)) ≈ 0.171461/0.0121598
t ≈ 14.1
It would take about 14.1 years for the value to reach $13,060.
Answer:
<u>u ≤ -6</u>
Step-by-step explanation:
Given :
Add 2 on both sides :
- 22 + 2 ≤ -4u - 2 + 2
- -4u ≥ 24
Divide both sides by -4 (remember the sign changes direction when divided by a negative number) :
- -4u/-4 ≥ 24/-4
- <u>u ≤ -6</u>
