Answer:
-q^2 -q + 72
Step-by-step explanation:
(9+ q)(8-q)
=9(8-q)+ q(8-q)
=72 - 9q +8q -q^2
= -q^2 -q + 72
The amount in the account after the given time if compounded semiannually is $1104.2
<h3>Compound interest </h3>
Interest is any amount added on a sum of money over a period of time. The formula for calculating the compound interest is:
A = P(1+r/n)^nt
Given
P = $1000
rate r = 0.05
time =3years
n = 2
Substitute
A = 1000(1 + 0.05/3)^3(2)
A= 1000(1.1042)
A = $1104.2
Hence the amount in the account after the given time if compounded semianually is $1104.2
Learn more on compound interest here: brainly.com/question/24924853
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Answer:
1249. 5 inches
Step-by-step explanation:
Pole length , Pl = 2 fts
Pole shadow, Ps = 20 in = (0.0833 * 20) = 1.666 ft
Tower length, Tl = 125 ft
Tower shadow, Ts = x
Pl / Ps = Tl/ Ts
2/ 1.666 = 125 / x
Cross multiply
2x = 125 * 1.666
2x = 208.25
x = 104.125 ft
x = 104.125 * 12 = 1249. 5 inches
First find the common factor of -30 and 75, which is 15.
Next find the common factors of the variables:
The factors of x$6 is x*x*x*x
Factor for y is y
Factors for Z^3 is z*z*z
Factors for Z^2 is z*z
The GCF would be x^4z^2
Final answer = 15x^4z^2
1. add 40 to the 40 and 25
2. now you have
3. then you have
4. then square root
5.then round answer to nearest tenth which is
