Answer:
for 7% , $8,000
for 8.5%, $4,000
Step-by-step explanation:
Key amount at 7% be x and amount at 8.5% be y
Mathematically;
x + y = 12,000 ••••••(i)
Let’s now work
with the interest;
7% of x + 8.5% of y = 900 ••••••(ii)
0.07x + 0.085y = 900
So we have two equations to solve simultaneously
From 1, x = 12,000-y
Substitute this into ii
0.07(12000-y) + 0.085y = 900
840-0.07y + 0.085y = 900
0.015y = 900-840
0.015y = 60
y = 60/0.015
y = 4000
x = 12000-4000
x = $8,000
80 gallons turned into kilograms is 302.8 kilograms.
Explanation:
1 gallon = 3.785 kg
80 * 3.785 kg = 302. 8
Another explanation:
80 gallons = 302.8 liters
1 liter = 1 kilogram
302.8 * 1 kg = 302.8 kg
Answer:
29
Step-by-step explanation:
x+11÷8=5
5 × 8 = 40
40- 11 = 29
29 + 11 ÷ 8 =5
168 students because 28% of 600 is 168.
Answer:
tan (A-B) = ± 4/3
Step-by-step explanation:
COS (A-B) = 3/5
COS² (A-B) = (3/5)² = 9/25 = 1 - sin² (A-B)
sin² (A-B) = 1 - 9/25 = 16/25
sin (A-B) = ± 4/5
tan (A-B) = sin (A-B) / cos (A-B) = (± 4/5) / (3/5) = ± 4/3