Answer:$27,57
1)find out how much wallets cost in the first month:
24,50 -100%
х - 125%
х= 24,50*125/100 ≈ 30,63
2)we will find out how much the wallets cost after the price is reduced by 10%:
30,63 - 100%
х -90%
х=30,63*90/100 ≈ 27,57
Step-by-step explanation:
Answer:
x = $0.50
y= $0.75
Step-by-step explanation:
1. Multiply the equations to have the same coefficients
5(6x + 6y = 7.5) → 30x + 30y = 37.5
3(10x + 5y = 8.75) → 30x + 15y = 26.25
2. Subtract the equations
30x + 30y = 37.5
<u>- 30x + 15y = 26.25</u>
15y = 11.25
3. Solve for y by dividing both sides by 15
y = 0.75
4. Plug in 0.75 for y into one of the equations
6x + 6(0.75) = 7.5
5. Simplify
6x + 4.5 = 7.5
6. Solve for x
6x = 3
x = 0.5
Answer:
0.332
Step-by-step explanation:
given series
1/4, 1/16,1/64.1/256
this is geometric series
where common ratio r is given by
nth term/ (n-1)th term
let the second term is nth term and first term is (n-1)th term
r = 1/16 / (1/4) = 1/4
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sum of series is given by
a (1-r^n)/1-r
where a is first term
n is the number of terms
r is the common ration
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in the given series
1/4, 1/16,1/64.1/256
a = 1/4
r = 1/4
n = 4
thus ,
sum = 1/4(1-(1/4)^4)/ (1-1/4)
sum = 1/4(1-(1/256)/(4-1)/4
sum = 1/4((256-1)/256 / 3/4
1/4 in numerator and denominator gets cancelled
sum =( 255/256*3) = 255/768 = 0.332
Thus, sum of series is 0.332.
Answer: (1, 4)
Explanation: When using the method of elimination, the goal is to eliminate a variable by either adding or subtracting the 2 equations. For this question, you can choose either to eliminate X or Y. I’ll eliminate X as an example:
In order to eliminate a variable, the same variable in both equations must have the same coefficient.
(1) 3x+y=7
(2) 2x+5y=22
Multiply (1) by 2:
(3) 6x+2y=14
Multiply (2) by 3:
(4) 6x+15y=66
Now that X in both equations has the same coefficient of 6, you can subtract the two equations to officially eliminate the variable and solve for Y:
Subtract (4) from (3):
-13y=-52
y=4
Now that you have the value of Y, substitute that into either one of the equations to get X. I’ll use the first equation as an example:
3x+(4)=7
3x=3
x=1
Therefore, the point of intersection is (1, 4).
Hope this helps シ
Answer:
see explanation
Step-by-step explanation:
If (x + 1) is a factor then f(- 1) = 0
f(- 1) = 19
+ 18(- 1) - 1 = 19 - 18 - 1 = 0
Thus (x + 1) is a factor of f(x)
