Answer:the nth term of the sequence, Tn= -3n +12
Step-by-step explanation:
The nth term of an arithmetic progression is given as
Tn= a+ (n-1) d
where a= first term
and d = common difference
In this sequence, 9, 6 ,3 ,0, -3, -6 we can see that the number is decreasing by 3
The first term, a= 9
and common difference, d = -3
using our formulae
Tn= a+ (n-1) d
Tn= 9 + ( n-1) -3
Tn=9- 3n+ 3
Tn= -3n +12
Answer:
16
Step-by-step explanation:
Turn 10% into a decimal, so 0.1
160 x 0.1 = 16
Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.
<h3>
Compound interest</h3>
Compound interest is given by:
where A is the amount after t years, P is initial amount, r is the rate and n is the times compounded per period
Given that n = 1, r = 9% = 0.09, A = $7500 t = 11. Hence:
Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.
Find out more on Compound interest at: brainly.com/question/24924853
<span>△PQR is similar to △STU
</span>m∠R = m∠U = 96°
m∠Q = m∠T = 6
m∠P = 180 - ( 96 + 6)
m∠P = 180 - 102
m∠P = 78
answer
m∠P = 78
To determine the length of the hypotenuse, apply Pythagorean theorem.
A^2 + B^2 = C^2
(10)^2 + (24)^2 = C^2
100 + 576 = C^2
676 = C^2
C = 26 cm.
The hypotenuse is 26 cm.
