Over time, compound interest at any rate will outperform simple interest. When the rates are nearly equal to start with, compound interest will be greater in very short order. Here, it takes less than 1 year for compound interest to give a larger account balance.
In 30 years, the simple interest will be
... I = P·r·t = 12,000·0.07·30 = 25,200
In 30 years, the compound interest will be
... I = P·(e^(rt) -1) = 12,000·(e^(.068·30) -1) ≈ 80,287.31
_____
6.8% compounded continuously results in more total interest
The answer is D. 140 cm². I think the circumference of the balloon means the circumference of the biggest circle. So the 21=2πr². While the surface area of a sphere is S=4πr². So the S≈140 cm².
Answer:
Find the five number summary of the data:
Minimum = x
Quartile 1 = x
Quartile 2 (median) = x
Quartile 3 = x
Maximum = x
Then, make the plot based on that information. If you are provided with a list of data, you should be able to use a calculator to find out that information.
Answer: y = 2x
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y = 2x - 8
Comparing with the slope intercept form, slope = 2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2
To determine the intercept, we would substitute m = 2, x = - 3 and
y = - 6 into y = mx + c. It becomes
- 6 = 2 × - 3 + c
- 6 = - 6 + c
c = - 6 + 6 = 0
The equation becomes
y = 2x
Answer:
2 integers: $7 and $8
5-by-step explanation:
compute 3 times square root of 5 and get 6.708. . .
Plot that.
Compute 5 times the square root of 3 and get 8.6602...
Plot that.
See which whole numbers are between those two points. Only two: 7 and 8
Since the question includes $ signs (WHY??) include the $ in your answer.
