Continuous compounding is the mathematical limit that compound interest can reach.
It is the limit of the function A(1 + 1/n) ^ n as n approaches infinity. IN theory interest is added to the initial amount A every infinitesimally small instant.
The limit of (1 + 1/n)^n is the number e ( = 2.718281828 to 9 dec places).
Say we invest $1000 at daily compounding at yearly interest of 2 %. After 1 year the $1000 will increase to:-
1000 ( 1 + 0.02/365)^365 = $1020.20
with continuous compounding this will be
1000 * e^1 = $2718.28
Answer:
Step-by-step explanation:
The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5
yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles
Answer:
They must sell 43 tickets to raise $500
Step-by-step explanation:
Cost to book the venue = $145
-145 plus 500 (money they need to raise) = $645
Each ticket costs $15
645/15 = 43 tickets
Answer:
1875 arrangements
Step-by-step explanation:
Break-Even is the point when costs are equal to profit.
The cost is 15,000
We need to cover this up with the profit we get from sales.
Each arrangement is 17 (cost) and is sold for 25, so the profit from each arrangement is:
25 - 17 = 8
So, with each arrangement sale, we make profit of $8. How many of these we need to sell in order to break even (in order to make 15,000)??
We simply divide this amount (15,000) by the profit we make from each arrangement ($8), so that would be:
Number of Arrangements Needed to Break-Even = 15,000/8 = 1875
After 1875 arrangements, the boutique breaks even.
Answer:
-80
Step-by-step explanation:
Subtract 4:
-10 = x/8
Multiply by 8:
-80 = x
The value of x is -80.
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This sort of equation is sometimes referred to as a "two-step" linear equation.
<u>Step 1</u>. After you identify the term containing the variable (x/8), you identify any constants on the same side of the equal sign (+4). Add their opposite to both sides of the equation. That gets the variable term by itself.
<u>Step 2</u>. Then identify the coefficient of the variable (1/8). Multiply both sides of the equation by the reciprocal of this value. That will make the coefficient of the variable become 1. The constant on the other side of the equal sign is now the value of the variable.
