Answer:
90
Step-by-step explanation:
Quarters , q = 25 cent
Nickel, n = 5 cent
3 times as many nickels as quarters;
n = 3q
Total value of coins = $12
n + q = $12
0.05n + 0.25q = 12
0.05(3q) + 0.25q = 12
0.15q + 0.25q = 12
0.40q = 12
q = 12 / 0.40
q = 30
n = 3q
n = 3(30)
n = 90
90 nickels
Answer:
Explanation:
1. x represent the copybook while y represent the pen that is bought.
2. 2x + 3y = 9000 means that in order to buy 2 copybooks and 3 pen you have to pay 9000 LL.
3. Solve for the price of x and y
2x + 3y = 9000 (1)
4x + 2y = 8000 (2)
Multiply (1) by -2:
-2(2x + 3y = 9000)
4x + 2y = 8000
——————————
-4x - 6y = -18000
4x + 2y = 8000
—————————
-4y = -10000
y = -10000/-4
y = 2500
Substitute y value into (2):
4x + 2(2500) = 8000
4x + 5000 = 8000
4x = 3000
x = 3000/4
x = 750
Therefore, 1 copy book = 750LL and 1 pen = 2500 LL
Answer:
It is closer to 1/2.
Step-by-step explanation:
First of all, 10/9 is the same thing as 1 1/9.
Draw a number line:
1/2 1
--|------|------|------|-----|---|---|------|------|------|-----|-----
0/9 1/9 2/9 3/9 4/9 5/9 6/9 7/9 8/9 9/9
Halfway between 4/9 and 5/9 is the same as 1/2 and 9/9 is the same as 1.
You can see that 1/9 is way closer to 1/2 than 1.
So, 10/9 is closer to 1/2.
(There are other ways to solve this, but this way is easiest for me!)
Answer: a) , where 'A' is the value of car after 't' years.
b) $12446.784
Step-by-step explanation:
Given: A new car that sells for $21,000 depreciates (decreases in value) 16% each year.
Then a function that models the value of the car will be
, where 'P' is the selling price of car, 'r' is the rate of depreciation in decimal, 't' is the time in years and 'A' is the value of car after 't' years.
Thus after substituting given value, the function becomes
To find the value after 3 years, substitute t=3 in the above function.
Hence the value of car after 3 years=$12446.784
Answer:
464 π in²
Step-by-step explanation:
The smallest circle has a radius of 8 in.
The middle circle has a radius of 8 + 4 = 12 in.
The largest circle has a radius of 12 + 4 = 16 in.
So the sum of the areas is:
π (8 in)² + π (12 in)² + π (16 in)²
= 64π in² + 144π in² + 256π in²
= 464π in²
