Answer:
8
Step-by-step explanation:
sin theta = opposite side/ hypotenuse
sin 30 = 4/x
Multiply each side by x
x sin 30 = 4
Divide each side by sin 30
x sin 30 /sin 30 = 4 sin 30
x = 4 /sin 30
We know that sin 30 = 1/2
x = 4 / 1/2
x = 8
Answer: $5,678.85
Step-by-step explanation:
First find out how much the fund was worth after 5 years.
Compound interest formula:
= Investment * (1 + rate) ^ years
= 4,000 * ( 1 + 11%)⁵
= £6,740.23
Half was removed:
= 6,740.23/2
= £3,370.12
Then compound this for the remaining 5 years:
= 3,370.12 * (1 + 11%)⁵
= $5,678.85
9514 1404 393
Answer:
volume goes to 2.0 L
Step-by-step explanation:
At constant temperature, volume and pressure are inversely related. Increasing the pressure by a factor of 125/50 = 2.5 will cause the volume to be reduced by that factor.
volume = 5.0L / 2.5
volume = 2.0 L
The expression in company B represents that is is in arithmetic progression where first term is 42000 and common difference is 1800 . So we have to use the formula of sum of n terms which is
Where a is the first term, n is the nth term, d is the common difference
On substituting there values,we will get
= 15(84000+52200) = 15*136200 =2043000
And for company A, it is
Difference between them =2043000-2002500= 40500
So the correct option is the second option .
Area= a*height
the formula for an isosceles trapezoid is 1/2(base1+base2)*height. 1/2 base 2 and 2a will simplify to a base length of a. a times height or a*height
