Answer:
$2000 is invested at 8%
$2000 is invested at 14%
Step-by-step explanation:
A total of $4000 is invested part at 8% and the remainder at 14%
Annual interest is $440.
Simple interest formula;
I = P × R × T
Where I is the interest, P is the principal, R is the rate and T is the time.
P = $4000
R = 8% and 14%
T = 1 year
I = $440
Let's say $a is invested at 8% and;
$b is invested at 14%
Then,
($a ×
× 1 ) + ($b ×
× 1) = $440
and
$a + $b = $4000
This forms a simultaneous equation;
0.08a + 0.14b = 440 ... (i)
a + b = 4000 ... (ii)
Multiplying (i) by 1 and (ii) by 0.08 we get;
0.08a + 0.14b = 440 ... (i)
0.08a + 0.08b = 320 ... (ii)
Subtracting (i) - (ii) we get;
0 + 0.06b = 120
0.06b = 120
b = 120 ÷ 0.06 = 2000
So amount invested at 14% ($b) = $2000 and,
The amount invested at 8% ($a) = $4000 - $2000 = $2000
So its a penny and a half dollar that will give you $0.51 so you can do this
starting with your 51 pennies you can get rid of every 5 pennies and replace them with a nickel so say you get rid of 10 pennies you would have 2 nickels
so 51/5= 10.2
or 10 nickels
so that is ten combos right there along side 51 pennies
so no you do the dimes witch for every 10 pennies you get rid of is = to 1 dime so 51/10=5.1 or 5 dimes so that gives you 5 more combos
so now its 1 penny combo with 10 nickel combos with 5 dime combos
now for quarters for every 25 pennies you get rid of is = to 1 quarter so
51/25=2.04 or just 2 and with half dollars ( they do make thoses ) it is for every 50 pennies you get rid of is = to one half dollar ( which is 50 cents) so 51/50= 1.02 or 1 so it is
1 penny combo + 10 nickels combos + 5 dime combos + 2 quarter combos + 1 half dollar combo =
1+10+5+2+1=19 different sums of money