Answer:
2
Step-by-step explanation:
For any positive numbers a,b we always have the following identity:
(gcd(a,b) denotes the greatest common divisor between a and b, and lcm(a,b) denotes the least common multiple between a and b)
In our case, we are given that 
and that 
. Plugging that in into our identity, we get:
And so solving for 
:
Heather invested $2,200 at 9% and invested $3,700 at 4%
What represents the amount invested in each asset?
The amount invested at 9% can be represented as x whereas the balance invested at 4% is (5900-x), as a result, the interest earned on each is computed thus:
Interest 9%=x*9%
interest at 9%=0.09x
Interest at 4%=(5900-x)*4%
interest at 4%=236-0.04x
Total interest=0.09x+236-0.04x
total interest=0.05x+236
Total interest earned=346
346=0.05x+236
346-236=0.05x
110=0.05x
x=110/0.05
x=$2,200(invested at 9%)
amount invested at 4%=5900-2200
amount invested at 4%=$3,700
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The ratio is 14:5, as 42 divided by 3 is 14 and 15 divided by 3 is 5.
Arc length = radius * central angle (in radians)
arc length = 63 * 2PI/9 radians
arc length = 14 PI
Answer:
Step-by-step explanation:
The GCF doesn't have to be a number. In this case, it is -y because both the -2xy and -9y share it. It's also easier when you take out a negative. Once you take the GCF out, your new expression should be:
