The area will be half the product of the lengths of AB and CD.
|AB| = √((6-1)² +(-2-3)²) = 5√2
|CD| = √((5-2)² +(5-2)²) = 3√2
Area = (1/2)*(5√2)*(3√2) = (1/2)*(15*2) = 15
The appropriate choice is ...
D: 15 square units
Answer:
monthly payment = $56.445
Step-by-step explanation:
given data
loan = $5000
interest rate r = 5.3 % = 0.053
time t = 2 year = 24 months
solution
we will use here amount of the monthly payments formula that is
monthly payment = principal ×
................1
put here value and we get
monthly payment = 5000 × 
monthly payment = $56.445
Answer:
Rent in 10th year = $5345.90
Step-by-step explanation:
Rent of apartment during first year = $1800 per month
But growth in rent with 11.5% per year will be represented by the exponential function,
Rent in 't'th year =
= 
= 
Therefore, rent during 10th year will be,
Rent in 10th year = 
= $5345.90
Represent the unknows with n and d.
Then n+d = 44 (# of coins)
and
$0.05n + $0.10d = $3.10 (value of coins)
Solving the first equation for n, we get n = 44-d. Subst. 44-d for n in the 2nd equation:
0.05(44-d) + 0.10d = 3.10
Then 2.20 - 0.05d + 0.10d = 3.10, or
2.20 + 0.05d = 3.10, or 0.05d = 0.90. Solving for d,
0.90
d = -------- = 18
0.05
There are 18 dimes and 44-18 nickels. How many nickels is that? ;)