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kotykmax [81]
3 years ago
12

Numbers 16,17,18,19 thanks!!

Mathematics
1 answer:
charle [14.2K]3 years ago
5 0
16. 8/5
17. 13/24
18. 17/4
19. -1/6
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A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 64 ft3. what dimensions y
Doss [256]

To solve this problem you must apply the proccedure shown below:

1. You must use the formula for calculate the surface area and the volume of the tank:

1) SA=x^{2} +4xy\\ 2) V=x^{2} y\\ 64=x^{2} y

2. Solve for y in the second equation and substitute it into the first one.Then, you have:

y=\frac{64}{x^{2}}  \\ SA=x^{2} +4x(\frac{64}{x^{2}})

3. Now, derivate:

SA'=2x-256x^{-2} \\ 2x-256x^{-2}=0

4. When you solve for x, you obtain:

2x^{3}-256=0\\ x=\sqrt[3]{\frac{256}{2}}  \\ x=5.03

5. Now, you must calculate y:

y=\frac{64}{(5.03)^{2}} \\ y=2.52

Therefore, the dimensions are:

The sides of the base of the tank: 5.03 feet

The height of the tank: 2.52 feet

8 0
3 years ago
Jerry and Carlos each have $1,000 and are trying to increase their savings. Jerry will keep his money at home and add $50 per mo
8_murik_8 [283]

Answer:

Jerry has a better saving plan for increasing his savings than Carlos

Step-by-step explanation:

Jerry's initial principal = $1000

Carlos initial principal = $1000

Jerry add $50 monthly this means that in 6 months he has

$50 x 6 = $300 as interest

This means that at the end of 6 months, Jerry would have $1,300 dollars at home

For Carlos the interest rate is 4% per year compounded monthly

If we calculate his interest per month we have:

Interest = 1000 x 4/(100 x 12) = $3.33

2nd month = 1003.33 x 4/(100 x 12) = $3.34

3rd month = 1006.68 x 4/(100 x 12) = $3.36

4th month = 1010.04 x 4/(100 x 12) = $3.37

5th month = 1013.41 x 4/(100 x 12) = $3.38

6th month = 1016.79 x 4/(100 x 12) = $3.40

At the end of 6 month, Carlos would have $1020.18 in the bank

Hence, Jerry has a better saving plan for increasing his savings than Carlos

8 0
3 years ago
4. Connie makes handmade quilts for her grandchildren. Each quilt is 4 ft. by 6 ft. What is the approximate length of the diagon
mash [69]

Answer: 7.2ft not sure if ur rounding answers. If nearest whole number than 7ft.

Step-by-step explanation:

Use Pythagorean theorem.

4^2 + 6^2 = c^2

16 + 36 = 52 = c^2

C = 7.2ft

7 0
3 years ago
I have done a and b but I am really struggling on C
Rashid [163]
Hmmm, just follow what ur gut thinks ifthat make sense
3 0
3 years ago
Write the equation of the line passing through the point (4, 2) when the slope m = -3. (y=mx+b)
VashaNatasha [74]

Answer:

y = -3x + 14

Step-by-step explanation:

Equation of line passing through a point (p , q ) and  slope m is :

         ( y -q ) = m (x - p) , \  \ p = 4 ,\  q = 2 \ , \ m = - 3

        ( y - 2 ) = - 3(x - 4) \\\\y = -3 x + 12 + 2 \\\\y = -3x + 14

4 0
3 years ago
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