X = 78, because
1) The last angle (the one without the X, equals 24 degrees)
2) 180 - 24 = 156
3) 156/2 = x
x = 78
hope this helps
Answer:
<h2>$1,129.27</h2>
Step-by-step explanation:
Compounded interest formula is
![A=P(1+\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where
is the final amount,
is the principal,
is the anual interest in decimal,
is the numer of compounded periods in one year and
is the time in years.
![P=\$800\\r=0.09\\n=1\\t=4](https://tex.z-dn.net/?f=P%3D%5C%24800%5C%5Cr%3D0.09%5C%5Cn%3D1%5C%5Ct%3D4)
Notice that
, because the interest is compounded anually, if the interest is compounded, then
, because there would be 12 compound periods in one year.
Then, we replace all these vaules in the formula
![A=P(1+\frac{r}{n})^{nt}\\A=800(1+\frac{0.09}{1})^{1(4)}=800(1.09)^{4}\\ A=1,129.26](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D%5C%5CA%3D800%281%2B%5Cfrac%7B0.09%7D%7B1%7D%29%5E%7B1%284%29%7D%3D800%281.09%29%5E%7B4%7D%5C%5C%20A%3D1%2C129.26)
Therefore, after 4 years, the amount would be $1,129.27.
Each person needs to buy at least 3 tickets, because 2 is too small
2(1.50) = 3 and 3(75) = $225
You need $250!
3(1.50) = 4.50 and 4.50(75) = $337.50
It's more than $250, but that's how it would have to be if they each buy an equal amount of tickets
The bag with red candy would be greater as it is already containing 50 % of all and instead its having some share in 15% of those in which both are mixed
Answer:
3 eggs
Step-by-step explanation:
Let the total number of eggs that the woman brought to the market be represented by x
A lady came to the market to sell eggs.
The first customer bought 1/2 of all her eggs and 1/2 of an egg.
x - (1/2x + 1/2) = y
= 1/2x - 1/2= y
y = Amount of eggs left after the first customer left
Her second customer bought 1/2 of all the remaining eggs and 1/2 of an egg.
At this point she had sold all her eggs.
Hence:
y - (1/2y + 1/2) = 0
y - 1/2y - 1/2
Solving for y
y - 1/2y = 1/2
1/2y = 1/2
y/2 = 1/2
Cross Multiply
2y = 2
y = 1
Solving for x
(1/2x - 1/2) = y
y = 1
1/2x - 1/2 = 1
1/2x = 1 + 1/2
x/2 = 3/2
Cross Multiply
2x = 2 × 3
2x = 6
x = 6/2
x => 3 eggs