Using simple interest, it is found that:
- The amount invested at 7% is $2,000.
- The amount invested at 8% is $8,000.
<h3>Simple Interest</h3>
Simple interest is used when there is a single compounding per time period.
The interest after t years in is modeled by:
In which:
- r is the interest rate, as a decimal.
In this problem:
- A total of $10,000 was invested, hence
.
- Two accounts paying 7% and 8% annual interest, respectively, hence
.
- The total interest earned for the year was $780, hence
Then:
Considering 
:
Considering 
:
Considering :
And:
Then:
- The amount invested at 7% is $2,000.
- The amount invested at 8% is $8,000.
You can learn more about simple interest at brainly.com/question/25296782
Answer:
r = 22.3m circa
Step-by-step explanation:
We know that the perimeter of a circle can be calculated as follows:
p = 2
r
So half of perimeter will be:
p/2 = r
We know that p/s = 70m, therefore:
r = 70m /
= 22.3 m circa.
Answer: All data will be sent in 89.39 hours
Step-by-step explanation:
Data transfer rate: 100 Mbps=100 
×
×
=0.3433 
The pigeon can fly 1000 km/day and it needs to fly 400 km (round trip).
Pigeon rate: 
=41.67 
Time of round trip: 400 km÷=9.6 h
So the pigeon can send 1 Tb every 9.6 hours.
If we sum the rates we can get the time for sending all the data:
40 Tb= (0.3433 Tb/h + 1 Tb/9.6h)×t
T= 89.39 hours
So, 30 is the perimeter. We are told the table is twice as long as it is wide.
So, we have think of 2 numbers, one being twice as big than the other. So, it is a rectangle The two number represents the length and the width. To find the perimeter we add all the lengths and the widths. Since the pool table is a rectangle we have two lengths and two widths.
So,
the tow numbers be 10 and 5. 5 is half of 10 and, when multiplied by 2 it is 10. So just to make sure the numbers 5 and 10 work out lets do a calculation.
So,
10+5+10+5 = 30feet. This proves that the sides are these two numbers.
