Here's the solution,
there's a rectangle with sides 4x and 2x
So, area of rectangle :
=》4x × 2x
=》8x²
now, let's divide the kite into two equal triangles with base = 4x
and height = x
area of each triangle :
=》
=》
=》
=》
now, area of each triangle = 2x²
and there are two triangles so,
Area of the kite will be :
=》2 × 2x²
=》4x²
Area of shaded region =
=》Area of rectangle - Area of kite
=》8x² - 4x² = 4x²
hence, correct option is B.
100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150,...
Answer:
9.99 years
Step-by-step explanation:
P=$3,500
r=7%=0.07
n=4(quarterly)
A= double of $3,500=
$3,500×2=$7,000
t=?
A=p(1+r/n)^nt
$7,000=$3,500(1+0.07/4)^4t
$7,000=$3,500(1+0.0175)^4t
$7,000=$3,500(1.0175)^4t
Divide both sides by $3,500
2=(1.0175)^4t
Take the log to base 10 of both sides
log2=4t × log1.0175
0.30103=4t × 0.00753
0.30103=4(0.00753)t
0.30103=0.03012t
t=0.30103/0.03012
t=9.99435
Approximately
9.99 years
1 / 9^4 and 1 / 6^3
This is because in order to make a negative exponent into a postive exponent, you need to make it into a fraction, 1 as the top number, and the negative exponent as a postive one.
For example, 6^-3 becomes 1 / 6^3.
I hope I helped.
Answer:
260
Step-by-step explanation:
When x represents whole numbers less than 200, the function
f(x) = 2x - 20 .......... (1)
represents the profit earned from selling x carnations for a school fund-raiser.
Therefore, the profit earned from selling 140 carnations for the school fund-raiser will be given by the equation (1) as
f(140) = 2(140) - 20 = 280 - 20 = 260.
Therefore, 260 is the value of f(140). (Answer)
