Let x = the amount of money he invests at 9%
and y = the amount of money he invests at 3%
y = x - 1400
0.09x + 0.03y = 198
x - y = 1400
9x + 3y = 19800
3x - 3y = 4200
9x + 3y = 19800
12x = 24000
x = 2000
y = 600
$2000 invested at 9% interest
and $600 invested at 3% interest.
Answer:
b = √2
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
<em>a</em> = Leg₁
<em>b</em> = Leg₂
<em>c</em> = Hypotenuse
Step 1: Plug in variables
3² + b² = (√11)²
Step 2: Solve
9 + b² = 11
b² = 2
b = √2
And we have our answer!
In the given formula :
r = rate = 4.5% = 0.045
t = time = 7 years
P = principal = #3,700
e is an arbitrary number used in mathematics, which is approximately 2.7183
Replace the letters with the given information:
A = 3700e^0.045(7)
A = $5,069.96
The answer is C
If

were incorrect, it means that

were correct

There were 28 problems ;)
A suitable probability calculator will tell you that probabilty is about 25.9%.
_____
The normalcdf function on this calculator gives an area between a lower and upper limit. If the upper limit is more than about 8 standard deviations above the mean, the 10th decimal place is unaffected. Since the standard deviation here is about 5, we need to have an upper limit that is about 40 above the mean of about 30. We have chosen 80 as a nice round number and to give a little more margin.