The formula for finding the Volume of square pyramid is given by :
![V = a^{2} \frac{h}{3}](https://tex.z-dn.net/?f=%20V%20%3D%20a%5E%7B2%7D%20%5Cfrac%7Bh%7D%7B3%7D%20%20%20)
where a is base edge and,
h = height.
We are given in the figure,
base edge = 18cm
Height =12 cm
So plugging these values in the formula for volume , we have
![V = (18)^{2} \frac{12}{3}](https://tex.z-dn.net/?f=%20V%20%3D%20%2818%29%5E%7B2%7D%20%5Cfrac%7B12%7D%7B3%7D%20%20%20)
On solving we get ,
Volume of square pyramid = 1296 cm³.
So first option is the correct choice .
Let f be the fraction invested at 10%. So (1-f) is the fraction at 7%. After one year the interest is
664 = 8200 f (.10) + 8200 (1-f) (.07) = 8200(.03)f + 8200(.07)
f = (664 - 8200(.07))/(8200(.03)) = .3659 = 36.59 %
Answer: 36.59%
Check:
8200(.3659)*.1 + 8200(1-.3659)*.07 = 664.01 good
Answer:
Step-by-step explanation:
Hello!
You have two variables of interest.
X₁: Weight of a popcorn bag.
It's mean is μ= 3.05 ounces and it's standard deviation δ= 0.02 ounces.
X₂: Weight of a potato chips bag.
With mean μ= 5.07 ounces and standard deviation δ= 0.04 ounces.
A bag of popcorn is randomly selected and its weight is X₁= 3.02 and a bag of potato chips is randomly selected with weight X₂= 5.03.
Since these two values are from completely different distributions, you cannot compare them, but if you convert these values to their equivalent Z value. For this, you will subtract the mean of their distribution and dive them by their standard deviation.
Z= (X-μ)/δ ~N(0;1)
Bag of popcorn: Z=(3.02-3.05)/0.02= -1.5
The selected bag of popcorn is 1.5δ away from the mean.
I hope it helps!
Answer:
$ 53.07
Step-by-step explanation:
49.95 ×6.25 %= 3.12
the tax is 6.25%
49.95+3.12=53.07
the total price of the game
$53.07