Answer: $12
Step-by-step explanation:
The formula to calculate the compound interest , if the interest is compounded semi-annually :-
, where P = Principal amount
r = rate of interest ( in decimal)
t= Time ( in years)
Given : P= $1500
r= 1.6 % =0.016
t= 6 months = year [∵ 1 year = 12 months]
Then, the interest earned by Robert in 6 months will be :-
Hence, Robert earned $12 as interest .
We first do:
∅ = sin⁻¹(0.3)
∅ = 17.5°
To go into the second quadrant, we add 90°.
∅ = 17.5 + 90
= 107.5°
The answer is A.
To figure this out you would have to multiply 40 by 2 since the first problem is 10 and the next is 20. So the answer would be 80.
(8)
since ΔPRS is right isosceles then PR = RS
let PR = RS = x, then using Pythagoras' identity on the triangle
x² + x² = (3√2)²
2x² = 18 ( divide both sides by 2 )
x² = 9 ( take the square root of both sides )
x = 3
that is RS = PR = 3 cm
MNPQ is a square hence PQ = = 5
and QR = PQ - 3 = 5 - 3 = 2 cm
area of rectangle RSTQ = 3 × 2 = 6 cm²
(9)
Since one of the diagonals is an altitude , then right triangle is formed
let one side be x then the other side is x - 2
perimeter = (2 × length ) + (2 × width ) = 2x + 2(x - 2 ) = 4x - 4
now given perimeter = 40, then
4x - 4 = 40 ( add 4 to both sides )
4x = 44 ( divide both sides by 4 )
x = 11
hence sides ( legs of right triangle ) are 11 and 9
Using Pythagoras' identity on the right triangle with hypotenuse (x) being the altitude
x = √(11² + 9²) = √(121 + 81) = √202 ≈ 14.21 in ( to 2 dec. places )
Answer:
y=8(5)^(x)
Step-by-step explanation: