Start by writing a system of equations. The first equation should be 1/2x+8y=3.75 and the second one should be 3/2x+4y=6.25
x=7/2 and y=1/4
The bait costs $3.50 per pound and the hooks cost $0.25 each.
We have been given that Layana’s house is located at on a map. The store where she works is located at .
We are asked to find the distance from Layana’s home to the store
We will use distance formula to solve our given problem.
Let us convert our given coordinates in improper fractions.
Now we will use distance formula to solve our given problem.
Upon substituting coordinates of our given point in above formula, we will get:
Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.
Answer:
t = 14 years
Step-by-step explanation:
r = R/100
r = 9/100
r = 0.09 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(9,589.78/2,733.00) / ( 12 × [ln(1 + 0.09/12)] )
t = ln(9,589.78/2,733.00) / ( 12 × [ln(1 + 0.0075)] )
t = 14 years
Summary:
The time required to get a total amount of $9,589.78 with compoundeded interest on a principal of $2,733.00 at an interest rate of 9% per year and compounded 12 times per year is 14 years.
Answer:
Step-by-step explanation:
x² + 9x+8 = (x+1)(x+8)
Step-by-step explanation:
- write down the binary number; 110011
- multiply each digit of the binary number by the corresponding power of two: (1×2)5 + (1×2)4 +(0×2)2 +(0×2)2 + (1×2)1 +(1×2)0
- Solve the power: 1×32+1×16+0×8+0×4+1×2+1×1= 32+16+0+0+2+1
- Add up the numbers written above: 32+16+0+0+2+1= 51
So, 51 is the decimal equivalent of the binary number 110011.