Answer:
each brother received 1,015 marbles cus 2,030 divided by 2 is 1,015.
Answer:
640 ft^3
Step-by-step explanation:
In this case we must divide the area into two parts, in the prism and in the pyramid, the sum of the volume of these parts would be the total volume
However
for the volume of the prism it would be the multiplication of the three sides, that is:
8 * 8 * 9 = 576
i.e. 576 ft ^ 3
For the pyramid, the formula is the multiplication of the area of the base by the height divided by 3, we know that the area of the base is 8 * 8 and that the height is 3, therefore:
8 * 8 * 3/3 = 64
64 ft ^ 3 is the volume of the pyramid
The total would be:
576 + 64 = 640
Total volume would be 640 ft ^ 3
Answer:
The prize in 2040 would be $1,293,986.
Step-by-step explanation:
We can calculate the annual increase rate as if it was a compound interest.
Then we have a period of 2017-1903=114 years, where the prize goes from $50 to $235,000.
We can then calculate this rate r as:
![FV=PV(1+r)^n\\\\\\r=\sqrt[n]{\dfrac{FV}{PV}} -1\\\\\\r=\sqrt[114]{\dfrac{235,000}{50}} -1\\\\\\r=\sqrt[114]{4700} -1\\\\\\r=1.077-1\\\\\\r=0.077](https://tex.z-dn.net/?f=FV%3DPV%281%2Br%29%5En%5C%5C%5C%5C%5C%5Cr%3D%5Csqrt%5Bn%5D%7B%5Cdfrac%7BFV%7D%7BPV%7D%7D%20-1%5C%5C%5C%5C%5C%5Cr%3D%5Csqrt%5B114%5D%7B%5Cdfrac%7B235%2C000%7D%7B50%7D%7D%20-1%5C%5C%5C%5C%5C%5Cr%3D%5Csqrt%5B114%5D%7B4700%7D%20-1%5C%5C%5C%5C%5C%5Cr%3D1.077-1%5C%5C%5C%5C%5C%5Cr%3D0.077)
We can calculate then the prize, increasing at the same rate, from 2017 to 2040.
The number of periods is n=2040-2017=23.
Then we have:
The prize in 2040 would be $1,293,986.
Answer:
The commutative property
Step-by-step explanation:
7.6+3.9+2.4=
7.6+3.9= 11.5+ 2.4= 13.9.
If you added 2.4 and 3.9 first
3.9+2.4= 6.3+7.6=13.9.
It doesn't matter what order you add in, you'll get the same answer
Answer:
y
=
x
−
1
4
x
+
7
y
=
5
y
=
2
x
−
5
Step-by-step explanation:
sorry if u cant read my thing is being weird
