Use the letters q and d to represent # of quarters and # of dollars.
q + d = 22 coins.
$0.25q + $1.00d = $10.75 Mult. this by 100 to eliminate fractions:
25q + 100d = 1075
Subst. q = 22 - d into the 2nd equation:
25 (22 - d) + 100 d = 1075
550 - 25d + 100d = 1075
550 + 75d = 1075
75 d = 525
d = 7
q + d = 22, so if d = 7, then q = 22-7, or q=15.
There are 15 quarters and 7 dimes.
Answer: $680.00
Step-by-step explanation:
Principal= 8500
Rate= 4%
Time= 2 years
Interest= (Principal×Rate×Time)/100
= (8500×4×2)/100
= 68000/100
= $680
The interest is $680
Answer:
0
Step-by-step explanation:
f(x) = √(x) + 12
g(x) = 2√(x)
(f-g)(x) = √(x) + 12 - 2√(x)
(f-g)(x) = 12 - √(x)
if x = 144
(f-g)(144) = 12 - √(144) = 12 - 12 = 0
The solution to the problem is as follows:
We have 2+.8(2) + .8(.8(2)) + .8(.8(.8(2))) + ... =
2( .8^0 + .8^1 + .8^2 + .8^3 + ... ) =
2(.8^n -1) / (.8-1) . As n-->infinity, .8^n-->0 giving us
<span>2(-1)/(-.2) = 2(5) = 10 meters.
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Answer: 1
Step-by-step explanation:
Change in y/change in x
starting at y intercept. up 1 unit (change in y) and over 1 unit (change in x) to get to next point on line.
slope is 1/1 which reduces to 1.
