Answer:
Step-by-step explanation:
If f(n) = 8n - 3
f(5) = 8(5) - 3
= 40 - 3
= 37
Answer:
£1999.85
Step-by-step explanation:
A = P(1 + rt)
Where:
A = Amount after t years
P = Initial amount invested = £1850
r = Interest rate = 2.7%
t = Time in years = 3 years
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.7%/100 = 0.027 per year.
Solving our equation:
A = £1850(1 + (0.027 × 3))
A = £1999.85
Therefore, Brian will have £1999.85 after 3 years.
It’s the third graph.
Hope this helped:)
Answer:
and
Step-by-step explanation:
Move the constant to the right-hand side and change their sign.
combine like terms
Square both side to remove square brackets.
10y + 24 - 3 = y²+ 8y + 16
Move the expression to the left-hand side and change its sign.
10y + 24 - y² - 8y - 16 = 0
Combine like terms
10y - 8y + 24 - 16 - y² = 0
2y + 8 - y² = 0
Use commutative property to reorder the terms.
-y² + 2y + 8 = 0
Change the sign of expression.
y² -2y -8 = 0
split -2y
<u>y² + 2y </u>- <u>4y - </u><u>8</u> = 0
Factor out y from the first pair and -4 from the second equation.
y ( y + 2 ) - 4 ( y + 2 ) = 0
Factor out y+2 from the expression.
( y + 2 ) ( y - 4)
When the products and factors equals 0, at least one factor is 0.
y + 2 = 0
y - 4 = 0
Solve for y
y = -2
y = 4
When we plug the both solution as y we found that both is true solution of this equation.
This equation has two solutions which are -2 and 4.
Answer:
Area of circle is
Step-by-step explanation:
Since angle is given in radians, so using formula for area of sector in radians is given as,
Given area of sector and angle. Therefore substituting the values in above formula,
Cancelling out the common term,
Multiplying with 2 on both sides,
Therefore value of is
Formula for area of circle is,
Substituting the value,
Therefore area of circle is