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
Answer:
i think 63%
Step-by-step explanation:
I did 5.25 minus 4.62 and got 0.63
then i multiplied 0.63 times 100 and got 63
correct me if im wrong
Answer:
Initial velocity is zero.
Step-by-step explanation:
According to second equation of motion
where s = distance traveled
t = time taken
a = acceleration
u = initial velocity
here in the question we have
s = 10 m
t = 1 second
a = 20
plugging the known value in order to find the unknown which is u (initial velocity)
[tex]10=u(1)+\frac{1}{2} (20)(1)^2[/tex
10 = u +10
gives u =0
therefore initial velocity is zero.
Using the chain rule: The derivative of e^u is (e^u)(u'). Notice that e^u is rewritten exactly as is and then multiplied by the derivative of the exponent.
Let u=2x. So u'=2
So the derivative of e^u is e^(2x)*2 This can also be written as 2e^(2x).
15. m = 15 because 15/3 = 5 and 5-1 = 4
