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 double implication "if and only if" is graphically represented by an arrow pointing in both direction, so the correct writing is

Answer:
x = 5.5 (Fraction 5 and one-half)
Step-by-step explanation:
18 - 7x = -20.5
-18 -18
-7x = -38.5
/-7 /-7
x = 5.5
Answer:
1/36
Step-by-step explanation:
There's only one situation where you can roll a sum of 2 (1,1)
so the final answer is just 1/36
Answer:
f(5) = 11 and 1/3, or approx. 11.33
Step-by-step explanation:

We can divide away x in 4x/3x:

To calculate f(5), we substitute x with 5:

Answer: 11 and 1/3, or approx. 11.33