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
=πr2h
Area of circle
=πr2
=V/h
=100/30
≈3.33cm
Assuming that the angles are congruent, then y = 29.
4y - 8 = 79 + y
4y = 87 + y Add 8 to both sides
3y = 87 Subtract y from both sides
y = 29
Answer:
a) 1.8 
b) 3.6 
Step-by-step explanation:
Conversion and calculation of areas
The area of a rectangle is A=wh, where w is the width and h is the height. There are 3 feet in one yard
a)
We are told Kalie put 6 stickers, each one of 1/2 centimeters (0.5 cm) wide by 3/5 (0.6 cm) centimeter long. The area of one sticker is
A=(0.5)(0.6)=0.3
Assuming there is no overlapping, the 6 stickers have a total area
6*0.3 =1.8
b)
Each of Elana's wrapping papers measures 2/5 yards long and 1/4 yard wide. Converting them to feet we have
long=2/5*3=1.2 feet
wide=1/4*3=0.75 feet
Area of each paper=1.2 feet*0.75 feet=0.9
Area of the entire board, assuming no overlapping and no space left uncovered=4*0.9
Area of board=3.6
The answer is it is a statistic because the value describes a characteristic of a sample.
