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Stolb23 [73]
3 years ago
12

A smart phone costs 149.99 before tax. The tax on the smart phone is 7%. What is the total cost of the smart phone? Round your a

nswer to the nearest cent
Mathematics
1 answer:
guapka [62]3 years ago
6 0

149.99 * .07 = tax on the phone

10.50 =tax on the phone

149.99+ 10.50 total cost

160.49 total cost of the phone

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A trough is 10 ft long and its ends have the shape of isosceles triangles that are 4 ft across at the top and have a height of 1
Anna11 [10]

Answer:

7.5 ft³/min

Step-by-step explanation:

Let x be the depth below the surface of the water. The height, h of the water is thus h = 10 - x.

Now, the volume of water V = Ah where A = area of isosceles base of trough = 1/2bh' where b = base of triangle = 4 ft and h' = height of triangle = 1 ft. So, A = 1/2 × 4 ft × 1 ft = 2 ft²

So, V = Ah = 2h = 2(10 - x)

The rate of change of volume is thus

dV/dt = d[2(10 - x)]/dt = -2dx/dt

Since dV/dt = 15 ft³/min,

dx/dt = -(dV/dt)/2 = -15 ft³/min ÷ 2 = -7.5 ft³/min

Since the height of the water is h = 10 - x, the rate at which the water level is rising is dh/dt = d[10 - x]/dt

= -dx/dt

= -(-7.5 ft³/min)

= 7.5 ft³/min

And the height at this point when x = 8 inches = 8 in × 1 ft/12 in  = 0.67 ft is h = (10 - 0.67) ft = 9.33 ft

7 0
2 years ago
Does anyone know how to factor y^2+49?
Delvig [45]

Answer:

(y + 7i)(y - 7i)

Step-by-step explanation:

It cannot be factored using real numbers, but consider

7i × - 7i

= -49i² and i² = - 1

= 49

The factoring as a difference of squares to obtain

y² + 49 = (y + 7i)(y - 7i)

5 0
3 years ago
Read 2 more answers
How do you work this out?
oksian1 [2.3K]
I think this problem is 3
8 0
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The sum of 3 consecutive numbers are 24. What are the numbers? Please explain.
victus00 [196]
Consecutive numbers mean in order from smallest to largest, therefore, 7, 8, 9, would be the answer. 7+8+9=24.
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3 years ago
What is the unit rate of $4.20 for 6 muffins
Sergio [31]
Well, you would divide 4.20/6 to find the price of just 1 muffin. 4.20/6 is 0.7, meaning that the price for one muffin is 70 cents.
7 0
3 years ago
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