Answer:
Width = 3/4 units or 0.75 units
perimeter of the rectangle = 23/2 = 11 1/2 units or 11.5 units
Step-by-step explanation:
A rectangle has two opposite sides equal in length. The 2 opposite sides are also parallel to each other.
The area of a rectangle = LW
where
L = length
W = width
The area of the rectangle = 3 3/4 units² = 15/4 units²
Length = 5 units
Therefore,
15/4 = 5W
multiply both sides by 4
15 = 20W
divide both sides by 20
W = 15/20
W = 3/4
Width = 3/4
Perimeter of the rectangle = 2L + 2W
Perimeter of the rectangle = 2(L + W)
Perimeter of the rectangle = 2(5 + 3/4)
perimeter of the rectangle = 2(23/4)
perimeter of the rectangle = 23/2 = 11 1/2 units or 11.5 units
Yeah the answer tells you right there lol, 113
Answer:
x=8
Step-by-step explanation:
x-2=6
x=6+2
x=8
Let's have a variable for each rate
x = account 1 (2.5% rate of interest)
y = account 2 (8% rate of interest)
The formulas we need are:
0.025x + 0.08y = 830 (amount of interest paid)
x + y = 20 000 (combined amount invested)
To solve we will use substitution (isolate for one variable and plugging into the other formula):
x + y = 20 000
x = 20 000-y
0.025x + 0.08y = 830
0.025(20 000-y) + 0.08y = 830
500-0.025y+0.08y=830
500+0.055y=830
0.055y=330
y=6000
Now that we know y (the 2nd account) = $6000 we need to find x. We do this by using the previous formula.
x = 20 000-y
x=20 000 - 6000
x=14000
She invested $14 000 at a 2.5% interest rate and $6 000 at a 8% interest rate.
*Notes:
the percentages were converted into decimal form
you check your answer by plugging the numbers back into the 2 formulas we made
