2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Step-by-step explanation:
The given is,
Initial investment - $5000
Future amount - $6000
Interest rate - 7.5% (compounded quarterly)
Step:1
Formula to calculate the Future amount with compound interest,
...................................(1)
Where, F - Future amount
P - Initial amount
r - Rate of interest
n - No. of compounding in a year
t - Time period
From given,
F = $6000
P = $5000
r = 7.5%
n = 4 (compounded quarterly)
Equation (1) becomes,



Take log on both sides,

Substitute log values,
0.07918 = 4(t) (0.0080676)
= (t) (0.0322705)
= 2.45
t ≅ 2.5 years
Result:
2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Is it P (q+r ) or P( q, r)?
Answer:
Photo 1: (a) C
(b) A
(c) D
Photo 2: 12.0416cm
Photo 3: 15.5242cm
Step-by-step explanation:
Photo 1: (a) 6×4=24
(b) 6(5)+6=36
(c) 6×6=36
Photo 2: Using Pythagoras' Theorem,
Unknown side length= square root symbol [(8×8)+(9×9)]
= 12.0416cm (6sf)
Photo 3: Using Pythagoras' Theorem,
AC= square root symbol (AB^2+BC^2)
=square root symbol [(15×15)+(4×4)]
= 15.5242cm (6sf)
A seven digit number that describes itself is the number 3211000.
The number has 3 zeros and the number has 2 ones.
Answer:
.25 X 4 = 1
.50 X 2 = 1
.10 X 10 = 1
Step-by-step explanation:
:)