Answer:
Step-by-step explanation:
Usimg formula for calculating compound interest.
A = P(1+r/n)^nt
P is the principal =$250
r is the rate = 5%
t is the time = 25years
n = 1/4(compounded quarterly)
Substituting to get the amount A.
A = 250(1+5/25)^25/4
A = 250(1+0.2)^6.25
A = 250(1.2)^6.25
A = 250(3.125)
A = $781.31
Hence the accumulated amount in Jessica's annuity after 25 years is $781.31
F = 18 ft.
The law of cosines states
c² = a² + b² - 2ab cos C
Using our information, we have
c² = 23² + 16² - 2(23)(16)cos 52
c² = 529 + 256 - 736cos 52
c² = 785 - 736cos 52
c² = 331.8732
Taking the square root of both sides, we have
c = √331.8732 = 18.22 ≈ 18
3/8x=6.
x=6*8/3.
x=2*8.
x=16.
Nicole started with 16 feet of string.
Answer:(1) The correct option is b. (2) The correct option is c.
Explanation:
(1)
It is given that the △ABD≅△FEC.
So by (CPCTC) corresponding parts of congruent triangles are congruent.
It is given that the angle DAB is 63 degree.
Therefore, the correct option is b.
(2)
It is given that the △ABD≅△FEC.
So by (CPCTC) corresponding parts of congruent triangles are congruent.
Therefore, the correct option is c.
