Answer:
Width of the rectangle = 15 inches
Length of the rectangle = 25 inches
Step-by-step explanation:
Let the width of the rectangle = k inches
So, the length of the rectangle = (2k -5) inches
Perimeter = 80 in
Perimeter of a rectangle = 2 (Length + Width)
⇒ 80 = 2(k + (2k -5)
or 80 = 6k - 10
⇒ 6k = 80 + 10 = 90
or k = 90 / 6
⇒ k = 15
So the width of the rectangle = k = 15 inches
And the length of the rectangle = 2k -5 = 2 x 25 - 5 = 25 inches
Answer:
x>−5.576923
Step-by-step explanation:
2.6x+2>−12.5
Step 1: Subtract 2 from both sides.
2.6x+2−2>−12.5−2
2.6x>−14.5
Step 2: Divide both sides by 2.6.
2.6x
2.6
>
−14.5
2.6
x>−5.576923
6n + 15 = -42. If you wish to go further and find n, then subtract 15 from both sides, obtaining 6n = -57, so that n = -57/6.
Standard form of a polynomial is when all of the terms are put in descending degree order. So 6^2+5x^4 would be written as 5x^4+6^2 since 4 is a higher degree than 2. Like terms are when two monomials either share the same degree or have the same variables. So 6x and 5x would be like terms
Answer: in the 1% account we have $2600 and in the 6% account we have $2400.
Step-by-step explanation:
We have two amounts A and B such that:
Where A is the amount invested in the 1% earning interest account and B is the amount invested in the 6% earning interest account.
A + B = $5000,
If the interest is yearly, then we have that, after one year, the interest is:
A*(1%/100%) + B*(6%/100%) = $170
A*0.01 + B*0.06 = $170
So we have two equations:
A + B = $5000
A*0.01 + B*0.06 = $170
In the first equation we can isolate A and get:
A = $5000 - B
and replace it in the other equation:
($5000 - B)*0.01 + B*0.06 = $170
$50 + B*0.05 = $170
B*0.05 = $120
B = $120/0.05 = $2400
Then A = $5000 - $2400 = $2600.
