Answer:
Option D
Step-by-step explanation:
The compounded interes formula states that:
V(t) = P (1 + r/n)^ (nt)
t = years since initial deposit = 3
n = number of times compounded per year 1
r = annual interest rate (as a decimal) = 4% / 100 = 0.04
P = initial (principal) investment = $500
Then V(t) = $500 ( 1 + 0.04/1)^3 = 562,43
So the correct answer is option D.
1) To work out the result after a percentage is applied to a number, you work out 'the percentage number/100' and write the answer of this calculation down. 2) You THEN multiply this calculated number (called the 'percentage multiplier') by your orginal number (called the 'principal'). 3) The result of this calculation gives you the answer of what happens when your orginal number is multiplied by a certain percentage. 4) Thus, for a 2.99% increase work out: " (100+2.99)/100 "
The answer is 1.029 - SO THIS is your percentage multiplier. 5) Your earn 2.99% interest each year for 5 years. Thus you multiply your principal (10,500) by the calculated percentage multiplier (1.029), BUT you you multiply the principal by this multiplier 5 TIMES! 6) So, the calulation is:10,500 × (1.029^5). 7) This EQUALS $12,113.403198) Rounded to the nearest cent, the final amount in the account AFTER 5 YEARS = $12,113.40 8) THE ANSWER IS THUS: $12,113.40
4x-6= 22
Move -6 to the other side.
Sign changes from -6 to +6.
4x-6+6= 22+6
4x= 22+6
4x= 28
Divide by 4 for both sides
4x/4= 28/4
x= 7
Answer : x= 7
4/5x + 5 < -3 (multiply the inequality by 5 to get rid of fraction)
4x + 25 < -15 (subtract 25 from both sides)
4x < -15 - 25
4x < -40
x < -10
or
4/5x + 5 < -3 (subtract 5 from both sides)
4/5x < -3-5
4/5x < -8
x < -8/(4/5)
x < -8 * 5/4
x < - 40/4
x < -10
