Answer:
The balance will be $7,577.03.
Step-by-step explanation:
The compound interest formula is given by:
Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this problem, we have that:
Semianually means twice a year, so 
We want to find A when 
.
So
The balance will be $7,577.03.
Answer:
Step-by-step explanation:
A = L * W
A = 22
L = 2x + 1
W = 3x + 1
now we sub
22 = (2x + 1)(3x + 1)
22 = 6x^2 + 2x + 3x + 1
22 = 6x^2 + 5x + 1
6x^2 + 5x + 1 - 22 = 0
6x^2 + 5x - 21 = 0 <======part A
(3x + 7)(2x - 3) = 0
3x + 7 = 0 2x - 3 = 0
3x = -7 2x = 3
x = -7/3 x = 3/2
I believe that x = -7/3 is an extraneous solution because when u plug it into ur length and width u get a negative number....and I dont think the sides of ur rectangle have negative values, however, it does work in ur equation and it equals 22 when multiplied...so I am not 100% sure
length = 2x + 1.......2(3/2) + 1........3 + 1 = 4
width = 3x + 1......3(3/2) + 1......9/2 + 1......9/2 + 2/2 = 11/2 (or 5.5) meters <===
A two-digit number is twice the sum of its digit. If the tens digit is 7 less than the unit digit, find the number.
Let x= the unit digit
Then y= the tens digit
<span>And 10y+x= the number
</span>x+y= the sum of the digits
<span>Now we are told that 10y+x=2(x+y) ------1st equation </span>
<span>We are also told that y=x-7 ----------- 2nd Equation </span>
<span>So our equations to solve are: </span>
(1) 10y+x=2(x+y)
<span>(2) y=x-7
</span>
Hope it helps
We have to get the y alone. So we'll subtract 3x on both sides.
Our new expression is y<-3x+8
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sorry if this doesn't help
