Answer:
Riley will earn interest of $1706.86 in 15 years. But when the same problem solved for interest compounded annually we get,
c)1663.90
The options does not match with answer
Step-by-step explanation:
Given
principal amount P = $ 1000
rate of interest r = 6.75 % = 6.75/100 =0.0675
time t = 15
compounded semi annually, hence
no. of times interest is compounded, n = 2
We know that the formula for deriving final amount (A) is
A = P
Substituting the known values , we get
A = 1000 x
= $2706.86
Hence the interest earned = A - P
= $2706.86 - $ 1000
= $1706.86
The answer is $1706.86
But when the same problem solved for interest compounded annually we get, n=1 and so
A = 1000 x
= 2663.90
Hence interest earned = $2663.90 - $ 1000
= 1663.90
Answer: OPTION D
Step-by-step explanation:
To solve this exercise you must use the formula for calculate the distance between two points, which is shown below:
Now, you must substitute the points given in the problem into the formula:
A(-2,-4)
B(-8,4)
Then, the result is:
Answer:
The Area of rectangle A is 576 feet² .
Step-by-step explanation:
Given as :
The width of rectangle A = 16 feet
The Length of rectangle A = 8 feet + The length of rectangle B
The width of rectangle B = 14 feet
Let The length of rectangle B = L feet
So, The Length of rectangle A = 8 feet + L feet
The perimeter of rectangle A + The perimeter of rectangle B = 156 feet
So, 2 × ( Length A + width A ) + 2 × ( Length B + width B ) = 156 feet
Or, 2 × ( 8 + L + 16 ) + 2 × ( L + 14 ) = 156 feet
Or, 2 ×( 24 + L ) + 2 × ( L + 14 ) = 156 feet
Or, 48 + 2 L + 2 L + 28 = 156
Or, 76 L + 4 L = 156
So, 4 L = 156 - 76
Or, 4 L = 80
∴ L = = 20 feet
So , The Length of rectangle A = 8 feet + 28 feet = 36 feet
And The width of rectangle A = 16 feet
So, Area of rectangle A = Length of rectangle A × width of rectangle A
I.e Area of rectangle A = 36 × 16 = 576 feet²
Hence The Area of rectangle A is 576 feet² . Answer
Answer:
a) pounds of hamburger meat can be purchased by spending 1 dollar
b) 1 pound of hamburger meat costs 2.8 dollars
Step-by-step explanation:
Rate in this case can be defined in two ways
a) The maximum amount of hamburger meat that can be purchased by spending 1 dollar
pounds of hamburger meat can be purchased by spending 1 dollar
b) The maximum cost of 1 pound of hamburger meat
dollar
Thus, 1 pound of hamburger meat costs 2.8 dollars