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V125BC [204]
3 years ago
15

Henry buys a softball for 16 dollars plus a 9% tax Ella buys a pair of shoes for 17 dollars plus a 9% tax. Enter the difference

in the amount henry and ella paid,including tax. round your answer to the nearest cent.​
Mathematics
1 answer:
Gwar [14]3 years ago
8 0

Answer:

$1.09

Step-by-step explanation:

16*0.09 = 1.44, 16 + 1.44 = 17.44 (Henry's total cost)

17*0.09 = 1.53, 17 + 1.53 = 18.53 (Ella's total cost)

To find the difference we subtract 18.53-17.44 = 1.09 and so the difference including tax is $1.09

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4.185 divided by 0.93 rounded
mr Goodwill [35]
To the nearest whole: 4
to the nearest hundredth: 4.2
actual answer: 4.5
4 0
3 years ago
Work out the area of a rectangle with base, b = 14mm and perimeter, P = 30mm
nataly862011 [7]

Answer:

14 mm squared is the area

Step-by-step explanation:

3 0
2 years ago
A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40
malfutka [58]
PART A

The given equation is

h(t) = - 16 {t}^{2} + 40t + 4

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4

We add and subtract

- 16(- \frac{5}{4} )^{2}

to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4

We again factor -16 out of the first two terms to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4

This implies that,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4

The quadratic trinomial above is a perfect square.

h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4

This finally simplifies to,

h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29

The vertex of this function is

V( \frac{5}{4} ,29)

The y-value of the vertex is the maximum value.

Therefore the maximum value is,

29

PART B

When the ball hits the ground,

h(t) = 0

This implies that,

- 16 ( t- \frac{5}{4}) ^{2} +29 = 0

We add -29 to both sides to get,

- 16 ( t- \frac{5}{4}) ^{2} = - 29

This implies that,

( t- \frac{5}{4}) ^{2} = \frac{29}{16}

t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }

t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}

t = \frac{ 5 + \sqrt{29} }{4} = 2.60

or

t = \frac{ 5 - \sqrt{29} }{4} = - 0.10

Since time cannot be negative, we discard the negative value and pick,

t = 2.60s
8 0
3 years ago
An x-ray machine for animals cost $125,000. if the loan is for 10 years, and the interest paid is $65,625, what's the interest r
solong [7]
The answer is 59,375 there hope this helps
3 0
3 years ago
Please help me it is very much appreciated
pshichka [43]
<h2>C</h2>

Hope it helps you!

-miraculousfanx-

7 0
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