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:
-8/15
Step-by-step explanation:
Answer: (1.5, 1.5)
Step-by-step explanation:
Answer:
The largest possible value for the third side is 18.
Step-by-step explanation:
Here, the first side of the triangle = 17
Second side of the triangle = 2
Let us assume the third side of the triangle = m
Now, In any given triangle:
"Sum of any two sides of a triangle is strictly greater than the third side."
⇒ Sum of first side + Sum of second side > Third Side
or, m < 17 + 2
or, m < 19
hence, the largest possible value for m = 18
Answer:
D. 8
Step-by-step explanation:
We have been given that the number of days that homes stay on the market before they sell in Houston is bell-shaped with a mean equal to 56 days. Further, 95 percent of all homes are on the market between 40 and 72 days.
As per empirical rule 95% of the data on bell curve lies between 2 standard deviations of mean.
So we can set an equation as:
or
Therefore, the standard deviation for our given data is 8 and option D is the correct choice.
