. The student's conclusion is incorrect because the solution to the system of equations 4x + 2y = 32 and 5x + 2y = 36 is (4, 8).
B is right option
4x + 2y = 32
5x + 2y = 36 subtracting
-x=-4
x=4
4(4)+2y=32
16+2y=32
2y=16
y=8
hope this helps
1233mZXOZ
Step-by-step explanation:
The first term is 138
The difference is 55
The iterative rule for the amount of money Mr Speas has after n weeks is
55/2 n² + 221/2 n
During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.
The first term will be 138 .
The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…
The difference = 193 - 138 = 55.
The iterative rule for the amount of money Mr Speas has after n weeks can be represented below
n = number of weeks
a = first term = 138
d = common difference = 55
Using AP formula,
sₙ = n/2(2a + (n - 1)d)
sₙ = n/2 (2(138)+ (n - 1)55)
sₙ = n /2(276 + 55n -55)
sₙ = n /2(221 + 55n)
sₙ = 55/2 n² + 221/2 n
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Answer:
$ 2330
Step-by-step explanation:
a = $240
Earning at the end of fifth week = $ 680
increase in earnings per weak = ( 680 -240)/2 = 440/2 =110
d =110
l = a + (n-1)d
a20 = 240 + (19 * 110 ) = 240 + 2090 = 2330
Answer:
Step-by-step explanation:
You take the starting year of 1990 and subtract it from 1999 to get the year span of 9,
You then take the amount per year the population goes up by which is 300, so 300 multiplied by 9 is 2,700
You add 2,700 to 21,152 to get B-23,852