9514 1404 393
Answer:
$2505.80
Step-by-step explanation:
After the first exchange, the tourist has ...
$3000(12.90 R/$) = R38,700
After 7 days, she has ...
R38,700 -7(R900) = R32,400
After the second exchange, she has ...
R32,400 × ($1/R12.93) = $2505.80
She gets $2505.80 at the second exchange.
Answer:
11.2 feets
Step-by-step explanation:
Angle, P = 180 - (38 + 90) = 52
Using trigonometry :
Length pq:
SinP = opposite / hypotenus
Sin52 = 8.8 / pq
0.7880107 * pq = 8.8
pq = 8.8 / 0.7880107
pq = 11.167361
Hence, length of pq = 11.2 feets
Answer:
x = 16
y = 16 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/hyp
sin 60 = y/ 32
Multiply each side by 32
32 sin 60 = y
32 ( sqrt(3) /2) = y
16 sqrt(2)
cos theta = adj/ hyp
cos 60 = x /32
32 cos 60 = x
32 (1/2) =x
16 =x
Step-by-step explanation:
We need to use the binomial theorem/Pascal's triangle here.
(a+b)^5 = (5 choose 0)a^5 + (5 choose 1)a^4*b + (5 choose 2)a^3*b^2 + (5 choose 3)a^2*b^3 + (5 choose 4)a*b^4 + (5 choose 5)b^5.
5 choose 0 = 1
5 choose 1 = 5
5 choose 2 = 10
5 choose 3 = 10
5 choose 4 = 5
5 choose 5 = 1
And 1, 5, 10, 10, 5, 1, is the (5+1) = 6th row of pascal's triangle.
Therefore we get
g^5 + 5g^4*2 + 10g^3*2^2 + 10g^2*2^3 + 5g*2^4 + 2^5
which is
g^4 + 10g^4 + 40g^3 + 80g^2 + 80g + 32
Or, you could do the slow way, by just doing (g+2)(g+2)(g+2)(g+2)(g+2)