Answer:
She sold 39 tall candies and 52 short candies
Step-by-step explanation:
x is all the tall candies
y is all the short candies
x+y=91
8x+5y=572
Use the method of Substitution to find out both x and y.
x=91-y
8(91-y)+5y=572
728-8y+5y=572
728-3y=572
3y=156
y=52
x+52=91
x=39
Answer:
1/2
Step-by-step explanation:
Since we have two points, we can use the slope formula
m = (y2-y1)/(x2-x1)
= (22-21)/(6-4)
= 1/2
24 bottles @ $3 = 8 bottles per dollar
12.5 cents per bottle
36 bottles @ $4 = 9 bottles per dollar
11.1 cents per bottle
Complete Question
If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5% for 3 years
Answer:
$ 12,934.61
Step-by-step explanation:
The formula for Compound Interest Compounded continuously is given as:
A = Pe^rt
A = Amount after t years
r = Interest rate = 2.5%
t = Time after t years = 3
P = Principal = Initial amount invested = $12,000
First, convert R percent to r a decimal
r = R/100
r = 2.5%/100
r = 0.025 per year,
Then, solve our equation for A
A = Pe^rt
A = 12,000 × e^(0.025 × 3)
A = $ 12,934.61
The total amount from compound interest on an original principal of $12,000.00 at a rate of 2.5% per year compounded continuously over 3 years is $ 12,934.61.
A change in any one of the underlying factors that determine what quantity people are willing to buy at a given price will cause a shift in demand. Graphically, the new demand curve lies either to the right (an increase) or to the left (a decrease) of the original demand curve.