You decide to put $150 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate
1 answer:
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Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.
Quick note
We can use a formula to find out the sum of an arithmetic series:
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.
Quick note
We can use a formula to find out the sum of an arithmetic series:
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
Answer:
Michelle’s house is 44 miles to Richard’s house.
Step-by-step explanation:
The distance can be found out by using the trigonometric ratio of sine theta
Sine theta= Perpendicular/ Hypotenuse
We know the values of hypotenuse and theta
Sine 30 = 22/ Hypotenuse
Hypotenuse= 22/ sine 30
Hypotenuse= 22/0.5
Hypotenuse = 44
The hypotenuse marks the distance between Michelle’s house to Richard’s house. Due east means counter clockwise rotation from east.
