On an investment of $5000 with an interest payment of 5% = $250 at one year. At 3.5 years, the interest payments would total $250 × 3.5 = $875
It should be 0.08
Explanation: There are six ways to get a 7 and two ways to get an 11 on two dice, and so there are 36 – 8 = 28 ways to get anything else. Therefore, P(no 7 or 11) = P(always getting something else) = (28/36)10
Answer:
The answer to your question is -3, 7
Step-by-step explanation:
Data
x + y = 4 ------------ Equation l
7x + 9y = 42 ----------- Equation ll
Process
1.- Solve the system by elimination
- Multiply equation l by -7
-7x - 7y = - 28
7x+9y = 42
2.- Simplify
0 + 2y = 14
3.- Solve for y
y = 14/2
y = 7
4.- Substitute y in equation l to find x
x + 7 = 4
Solve for x
x = 4 - 7
x = -3
Answer:
a. [L], [M]
b. 41, 42, 43
Step-by-step explanation:
<h3>a.</h3>
If x represents the smallest number, then the second number is (x+1) and the third number is (x+2). The sum is of the first number (x), 3 times the second number, 3(x+1), and 2 times the third number, 2(x+2). That sum can be written as ...
Total = x +3(x +1) +2(x +2) . . . . matches [L]
If we use the distributive property to eliminate parentheses, we get ...
Total = x +3x +3 +2x +4 . . . . . matches [M]
__
<h3>b.</h3>
Using the equation of [M], we have ...
253 = x +3x +3 +2x +4
246 = 6x . . . . . . . . . . . . . . . . collect terms, subtract 7 from both sides
41 = x . . . . . . . . . divide both sides by 6
The three consecutive numbers are 41, 42, 43.
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 <===