Shaun invested $176,250 into the new business.
Marcus invested half of the $940,000 so the amount that Shaun and Tristan invested is:
= 940,000 / 2
= $470,000
Shaun and Tristan invested in the ratio 3:5.
The amount that Shaun invested is:
<em>= (Ratio of Shaun / Sum of the ratios) x Amount both invested </em>
= (3 / (3 + 5 )) x 470,000
= 3/8 x 470,000
= $176,250
In conclusion, Shaun must have invested $176,250 into the business.
<em>Find out more at brainly.com/question/771006.</em>
<span>We define
day--------------------------X
hockey cards away ------------f(X)
</span><span>He gives 2 cards away ----------------on day 1----------f(X)=2 X=1
</span>He gives 4 cards away ----------------on day 2----------f(X)=4 X=2
He gives 8 cards away ----------------on day 3----------f(X)=8 X=3
the sequence of cards away 2,4,8,16,32,64,128,256,512,1024
f(x) = 2**(x)
The answers are
D <span>Each day corresponds to a unique amount of hockey cards in this sequence.</span>
And B <span>The graph of this sequence would pass the vertical line test.
Each element of the Domain (X = day), relates to a single value of f(x) = number of hockey cards
That is, every value of X must have only one corresponding value of f(x)
(One value of y, for each input X)
This can also be checked by using the vertical line test.
If we plot f(x) and we draw vertical lines in the curve, we can verify that at every input the line intersects only one point of f(x)</span>
Answer:
Area of polygon MNOPQR = 13 units
Step-by-step explanation:
Area of smaller rectangle:
(7-3)= 4 units multiplied by (3-2) = 1 unit
= 4 sq. units.
Area of polygon MNOPQR
= 3*3 units + 4*1 units
= 9 units + 4 units
= 13 units
Answer:
A. 
Step-by-step explanation:
Given:
Volume of the cylindrical container before dilation, 
Scale factor of the dilation, 
Therefore, the volume of the dilated cylinder is given as:
Plug in 1 gal for 
and 
for SF. Solve for 
. This gives,
Therefore, the volume of the dilated cylinder is gallons.
Hey there!
In this problem, we'll just be finding the surface area of a rectangular prism. In this example, a surface area is a sum of all the areas of each individual face. On this rectangular prism, we have 6 faces, and two of each kind. Our formula is:
SA = 2(lw + wh + lh)
Notice how it has a 2. That two is because those two variables just applies for one side, and there's two for each type of side. On this diagram, the rightmost side's area would be the width (32) times the height (49) and the product would be the area. Let's plug in our numbers:
SA = 2(41 * 32 + 32*49 + 41*49)
Multiply:
SA = 2( 1312 + 1568 + 2009) =
Add:
SA = 2(2880 + 2009)
SA = 2(4889)
SA = 9778 ft squared, or C.
Hope this helps!
