Answer:
17 years
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r, compounded n times per year for t years.
Filling in the numbers and solving for t, we find ...
16826.03 = 8534(1 +.04/12)^(12t)
16826.03/8534 = 1.0033333...^(12t)
Taking logs, we have ...
log(16826.03/8534) = 12t·log(1.0333333...)
Dividing by the coefficient of t gives ...
log(16826.03/8534)/(12·log(301/300)) = t ≈ 17.000
It will take 17 years for the account balance to reach $16,826.03.
40°, 60° and 80°
sum the parts of the ratio 2 + 3 + 4 = 9
The sum of the angles in a triangle = 180°
Divide 180 by 9 to find one part of the ratio
= 20° ← 1 part of the ratio
2 parts = 2 × 20 = 40°
3 parts = 3 × 20 = 60°
4 parts = 4 × 20 = 80°
The angles in the triangle are 40°, 60° and 80°
Answer:
20.30
Step-by-step explanation:
To the nearest tenth =20.30
<h2><em>OladipoSeun</em></h2>
180°-100°= 80° (angle 1)
180°-150°= 30° (angle 2)
180°-80°-30°= angle 3
angle 3 = 70°
∴ the interior angles are 80°, 30° and 70°
1) -4(12-3)+5(12)=24
-48+12+60=24
24=24
Therefore x=12
2.) -4(x-3)+5x=24
-4x+12+5x=24
-4x+5x=24-12
x=12
