First, multiply the 1,500 by 4.3% to come up with $64.50 every three months (the question says compounded quarterly).
$64.50 x 4(quarters in a year) = $258.00 per year
$258.00 x 6 years = $1,548.00
$1,500.00 + $1,548.00 = $3,048.00 balance after six years
Answer:
Let's solve your equation step-by-step.
p=(0.5)(2.718282)−5
Step 1: Simplify both sides of the equation.
p=(0.5)(2.718282)−5
p=1.359141+−5
p=(1.359141+−5)(Combine Like Terms)
p=−3.640859
p=−3.640859
Answer:
p=−3.640859
Step-by-step explanation:
Answer:
DE = 18
Step-by-step explanation:
Given that,
Point D is on line segment CE.
DE = x+10, CD=6 and CE=3x
We need to find the length of DE.
ATQ,
CE = CD + DE
Putting all the values,
3x = 6 + x+10
Taking like terms together
3x-x = 16
2x = 16
x = 8
DE = x+10
= 8+10
= 18
Hence, the length of DE is 18.
Answer:
see explanation
Step-by-step explanation:
The nth term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₅ is double a₇ , then
a₁ + 4d = 2(a₁ + 6d) , that is
a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )
4d = a₁ + 12d ( subtract 12d from both sides )
- 8d = a₁
The sum of n terms of an AP is
= 
[ 2a₁ + (n - 1)d ] , substitute values
= 
( 2(- 8d) + 16d)
= 8.5(- 16d + 16d)
= 8.5 × 0
= 0
