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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x/110 = (320-x)/90
<span> Cross multiply</span>
90x = 35200-110x
200x=35200
X = 35200/200 = 176 (distance traveled by train going 110 mph
176/110 = 1.6 hours = 1 hour and 36 minutes
Check: 110*1.6 = 176, 90*1.6 = 144
176+144 = 320
it will take 1.6 hours ( 1 hour 36 minutes) for the trains to meet
Answer:
y = -3 m = -1 b = 3
Step-by-step explanation:
-3y=3x-9
To isolate the y variable, divide both sides by -3.
y = -1x + 3
y = -3
m = -1
b = 3
Easily done! Just do -56 divided by -7 but just remember two negatives equal a positive. So your answer would be 8!
Answer:
Counting Numbers - Also called natural numbers, the set of positive numbers used to count objects. 1, 2, 3, 4, 5, ... Integers - The set of numbers including all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero) -- fractions and decimals are not integers.
