Hey there!
First, set up an exponential equation that represents the rate at which your original amount, 1000, gains interest:
y = 1000(1.24)^x
Y represents the value after X years. 1.24 represents the rate at which the money gains interest, 1 + 0.24 (your 24% interest rate in decimal form). 1000 is your original amount.
Now, set this equation equal to 64000, graph y = 64000 and y = 1000(1.24)^x on a graphing calculator, and see where the two equations intersect in order to solve for x.
They intersect when x is about 19.334, as seen in the graph below (it is very zoomed in so that you can see where the two functions intersect). Therefore, it will be about 19 years after the year in which you deposited the 1000 dollars before the money is worth 64000 dollars.
Max can paint 8 kitchens with 20 gallons.
Max can paint 6 living rooms with 26 gallons.
Max can paint 16 bedrooms with 60 gallons.
No problem!
Answer:
(1) The ratio of number of $5-bill to number of $10-bill is: 1/4;
(2) The ratio of number of the $5-bill to number of $10-bill is: x/ [(72-x)/2] in which x is the number of $5-bill and x must be either 0 or an even positive integral ( as their is insufficient information given, there can be many ratios that suit into the given information as long as the condition on x is met).
Step-by-step explanation:
(1) Denote x is the number of $5 bill and y is the number of $10 bill, in which x and y should be >= 0 and is an integral number.
We have (x+y) / (5x + 10y) = 1/9 <=> 9x + 9y = 5x + 10y <=> 4x = y <=> x/y =1/4 .
(2) Denote x is the number of $5 bill, y is the number of $10 bill.
We have: 5x + 10y = 360 <=> x = [ 360 - 10y ] /5 <=> x = 72 - 2y <=> y = (72 - x)/2 => x/y = x/[(72-x)/2] in which x must be must be either 0 or an even positive integral so that y can be identified in order to match with the given information .
Hello.
The answer is
-4c^2+4c+6
You have to combine the regular numbers that is 4 and 2 that adds to 6.
Then there is 7c-3c which gives u 4c and then whats left is -4c^2.
Have a nice day
See attached for the synthetic division table
The numbers in the bottom row are 1, 9 and 0
The last number is the remainder. So the remainder is 0
The other values in the last row (1 and 9) form the quotient, so we have 1x+9 = x+9 as the final answer
Final Answer: C) x+9
