9514 1404 393
Answer:
4%
Step-by-step explanation:
We assume the interest earned is simple interest, because that make the numbers come out "nice."
The account balance is given by ...
A = P(1 +rt) . . . . principal P earns simple interest at annual rate r for t years
1080 = 1000(1 +r·2) . . . . fill in the given values
1.08 = 1 +2r . . . . . . . . . . divide by 1000
0.08 = 2r . . . . . . . . . . . subtract 1
0.04 = r = 4% . . . . . . . divide by 2
The annual interest rate is 4%.
_____
<em>Additional comment</em>
If interest is compounded annually, the annual rate is about 3.92%. If it is compounded continuously, the rate is about 3.85%.
Answer:
gift 1:
424 cm^2
570 cm^3
gift 2:
1420.5 cm^2
3622.5 cm^3
Step-by-step explanation:
We have to calculate the surface area of these gifts in order to know the amount of wrapping paper.
The formula for the surface area is:
A = 2*ab + 2*ac + 2*bc
Gift 1:
A = 2*6*10 + 2*6*9.5 + 2*10*9.5
A = 424 cm^2
That means that gift 1 needs 424 cm^2 of wrapping paper
Gift 2:
A = 2*14*17.25 + 2*14*15 + 2*17.25*15
A = 1420.5 cm^2
That means that gift 2 needs 1420.5 cm^2 of wrapping paper
Now, to calculate the cubic centimeters of packaging peanuts, we calculate the volume, the volume has as formula:
V = a*b*c
Gift 1:
V = 6*10*9.5
V = 570 cm^3
This means that gift 1 needs 570 cm^3 of packaging peanuts
Gift 2:
V = 14*17.25*15
V = 3622.5 cm^3
That means that gift 2 needs 3622.5 cm^3 of packaging peanuts
Answer:
Check explanation
Step-by-step explanation:
<h2>
2 lemons, 1 cup</h2><h2>
8 lemons, 4 cups</h2><h2>
10 lemons, 5 cups</h2>
Answer:
reggie made an error
the correct scale factor is 2/3
Step-by-step explanation:
we want to get from A to A', B to B', and ultimately C to C'
to get there, we must multiply each value in each point by the scale factor.
let's start out with reggie's scale factor. he multiplies each value in C by 3/2 to get to C'. we can try this out with one point, e.g. A
for A: 3/2 * (-12, -6) = (-18, -9). this is not A' = (-8, -4)! thus, 3/2 cannot be the scale factor
now, onto hillary's scale factor of 2/3
for A: 2/3 * (-12, -6) = (-8, -4). this is A'! thus, hillary is correct and reggie made an error
the correct scale factor is thus hillary's: 2/3