Answer:
Step-by-step explanation:
Given the simultaneous equation
3x+4y=15. Equation 1
3x-y=30. Equation 2
Using elimination method
Sutract equation 2 from 1
Then, will have
3x-3x+4y--y=15-50. -×-=+
4y+y=-15
5y=-15
Divide Both sides by 5
y=-15/5
y=-3
From equation 2
3x-y=30
3x--3=30
3x+3=30
3x=30-3
3x=27
Divide both side by 3
x=27/3
x=9
Then, x=9 and y=-3
Step-by-step explanation:
x^2 -2kx +7k -12 = 0
two equal roots -->Δ = b^2 -4ac = 4k^2 - 4(7k-12)=0 = 4(k^2 - 7k +12)=4(k-4)(k-3)=0
so k =3 and k =4
Answer:
The area of the figure composed of a parallelogram, a square and a rectangle is 126 in².
Step-by-step explanation:
Hope I could help!
Answer:
$4785.68
Step-by-step explanation:
Original amount: <u>$</u><u>4</u><u>2</u><u>3</u><u>0</u>
Interest for 1 year: <u>4</u><u>.</u><u>2</u><u>%</u>
<em>First year;</em>

<em>S</em><em>e</em><em>c</em><em>o</em><em>n</em><em>d</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em>;</em>

<em>T</em><em>h</em><em>i</em><em>r</em><em>d</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em> </em><em>(</em><em>t</em><em>o</em><em>t</em><em>a</em><em>l</em><em> </em><em>b</em><em>a</em><em>l</em><em>a</em><em>n</em><em>c</em><em>e</em><em> </em><em>a</em><em>f</em><em>t</em><em>e</em><em>r</em><em> </em><em>3</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em>s</em><em>)</em><em>;</em>

Round the number;
<em><u>$4785.68</u></em>
YOUR ANSWER hope this helps :))
Answer:
Population of the 48th generation will be 4469.
Step-by-step explanation:
Recursive formula by which the population is increasing,

L₀ = 4
Common difference 'd' = 95
Recursive formula represents a linear growth in the population.
Therefore, explicit formula for the given sequence will be,
= L₀ + (n - 1)d [Explicit formula of an Arithmetic sequence]
Here n = Number of terms
L₄₈ = L₀ + (48 - 1)(95)
= 4 + 4465
= 4469
Therefore, population of the 48th generation will be 4469.