Answer:
Area = 84 in²
Step-by-step explanation:
In order to find the area of the rectangle, you need to first set up an equation to find the length based on the information already given in the problem. Since the perimeter = 40 and the formula to find perimeter of a rectangle is: P = 2W + 2L, where W = width and L=Length, we can solve for 'L' by putting in the values given:
P = 2W + 2L or 40 = 2W + 2(3W - 4)
The length of the rectangle is '4 less than 3 times the width'. This can be written as the expression '3W - 4'.
Distribute: 40 = 2W + 2(3W - 4) or 40 = 2W + 6W - 8
Combine like terms: 40 = 8W - 8
Add '8' to both sides: 40 + 8 = 8W - 8 + 8 or 48 = 8W
Divide both sides by '8': 48/8 = 8W/8 or 6 = W
Solve for L: 3W - 4 or 3(6) - 4 = 18 - 4 = 14
Since L=14 and W = 6, we can solve for Area using the formula: A = LxW or A = (14)(16) = 84in².
a
2
+
10
a
+
25
Rewrite
25
25
as
5
2
5
2
.
a
2
+
10
a
+
5
2
a
2
+
10
a
+
5
2
Check the middle term by multiplying
2
a
b
2
a
b
and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
a
⋅
5
The proper equation would b y=3x / 2
Answer:
Answer
see explanation
Step-by-step explanation:
Using the rule of exponents
= , then
=
His mistake was in subtracting 3 rather than - 3
A(t) = 500(1.0325)^t
500 is the initial deposit, t=0, A(0)=500
3.25% is the interest rate
t is in years
Let's go through the choices.
After 1 year ... A(1)=500. Don't check; it's A(0) that equals 500, A(1) is bigger.
The rate is 1.03%. Don't check; the base being exponentiated is 1 plus the rate.
Rate is 3.25%. TRUE that's why we have 1 + 0.0325 as the base.
Rate is 5%. Don't check.
Only one right answer.