It's right triangle 45 45 90
The sides in this triangle<span> are in the ratio 1 : 1 : 1√2
if one side = </span>2√2 then b = 2√2
hypo. a = b(√2) = 2(2√2) = 4√2
answer
a = 4√2
b = 2√2
Given :
A group of 106 campers sits in a big circle.
The camp leader tells them to say "hello" to each camper sitting to their left and right.
To Find :
What is the total number of times the campers say "hello".
Solution :
It is given that each camper say "hello" to each camper sitting to their left and right i.e each camper says "hello" twice.
Therefore, 106 campers will say hello = 106 × 2 = 212 times.
Hence, this is the required solution.
Answer:
See explanation
Step-by-step explanation:
Powers of 10 is a very useful way of writing down large or small numbers.
Instead of having lots of zeros, you show how many powers of 10 will make that many zeros.
When you work with small numbers, you should use the negative powers of 10. Just remember for negative powers of 10, move the decimal point to the left. For example,
![0.36=3.6\cdot 10^{-1}\ [\text{Move the decimal point one place to the left}]\\ \\0.036=3.6\times 10^{-2}\ [\text{Move the decimal point two places to the left}]\\ \\0.0036=3.6\times 10^{-3}\ [\text{Move the decimal point three places to the left}]\\ \\...](https://tex.z-dn.net/?f=0.36%3D3.6%5Ccdot%2010%5E%7B-1%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20one%20place%20to%20the%20left%7D%5D%5C%5C%20%5C%5C0.036%3D3.6%5Ctimes%2010%5E%7B-2%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20two%20places%20to%20the%20left%7D%5D%5C%5C%20%5C%5C0.0036%3D3.6%5Ctimes%2010%5E%7B-3%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20three%20places%20to%20the%20left%7D%5D%5C%5C%20%5C%5C...)
When comparing small numbers, write these numbers in scientific notation (only one non-xero digit must be before point) and then
- if the powers of 10 are the same in compared numbers are the same, just compare the numbers which are multiplied by these powers of 10. For example,
because powers are the same (-6) and ![3.6>2.6](https://tex.z-dn.net/?f=3.6%3E2.6)
- if the powers are different, then the smaller is power, the smaller is number (number with the smaller negative power has more places after decimal point). For example,
because ![-6>-7](https://tex.z-dn.net/?f=-6%3E-7)
Well lets do this
3 + 16 ÷ 4
we divide first
3 + 4
Addition
=7
Answer:
$9891.23
Step-by-step explanation:
The formula for future value of annuity due is:
![FV=P[\frac{(1+r)^{n}-1}{r}]*(1+r)](https://tex.z-dn.net/?f=FV%3DP%5B%5Cfrac%7B%281%2Br%29%5E%7Bn%7D-1%7D%7Br%7D%5D%2A%281%2Br%29)
Where,
- FV is the future value of the annuity (what we need to find)
- P is the periodic payment (here it is $400)
- r is the interest rate per period (here 13% yearly interest is actually
percent per period(quarter)) - n is the number of periods (here the annuity is for
years, which is
periods, since quarterly and there are 4 quarters in 1 year)
Substituting all those values in the equation we get:
![FV=400[\frac{(1+0.0325)^{18}-1}{0.0325}]*(1+0.0325)\\=400[23.9497]*(1.0325)\\=9891.23](https://tex.z-dn.net/?f=FV%3D400%5B%5Cfrac%7B%281%2B0.0325%29%5E%7B18%7D-1%7D%7B0.0325%7D%5D%2A%281%2B0.0325%29%5C%5C%3D400%5B23.9497%5D%2A%281.0325%29%5C%5C%3D9891.23)
Hence, the future value of the annuity due is $9891.23