Answer:
$4125.00
14.94 years
$379.50
Step-by-step explanation:
1. A = P(1 + r/n)^(nt)
4837.65 = P(1 + 0.032/4)^(4×5)
4837.65 = P(1.008)^(20)
P = 4125.00
2. A = P(1 + r/n)^(nt)
10250 = 5125(1 + 0.0475/1)^(1×t)
10250 = 5125(1.0475)^t
2 = 1.0475^t
ln 2 = t ln 1.0475
t = 14.94
3. Beth pays the first $100, bringing the cost to $1118. She then pays 25% of this, which is $279.50. So she pays a total of $379.50.
Answer:
The answer is 2
Step-by-step explanation:
The hypotenuses of the triangles are different. One is 4 and the other is 5.
Lets use ratios to find the relationship of the hypotenuse and the base.
2.5:5
Turn this into a fraction
2.5/5
Now divide
2.5/5 = 0.5
The base of the triangle is half the length of the hypotenuse.
So 4 is x’s hypotenuse so:
4 x 0.5 = 2
X = 2
Answer:
16/33
Step-by-step explanation:
Tổng của cả 4 tấm thẻ là một số lẻ khi:
Có 1 thẻ là lẻ, 3 thẻ còn lại là chẵn, có: 6C1.5C3=60 cách
Có 3 thẻ là lẻ, 1 thẻ là chẵn, có: 5C1.6C3=100 cách
Suy ra có 160/11C4=16/33 cách
Answer:
97.98
Step-by-step explanation:
The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;
Area of the parallelogram = |PQ×PS|
PQ = Q-P and PS = S-P
Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)
PQ = (4,-5,3) - (0,0,0)
PQ = (4,-5,3)
Also, PS = S-P
PS = (8,-12,4)-(0,0,0)
PS = (8,-12,4)
Taking the cross product of both vectors i.e PQ×PS
(4,5,-3)×(8,-12,4)
PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k
PQ×PS = -16i - 40j -88k
|PQ×PS| = √(-16)²+(-40)²+(-88)²
|PQ×PS| = √256+1600+7744
|PQ×PS| = √9600
|PQ×PS| ≈ 97.98
Hence the area of the parallelogram is 97.98
