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2 years ago

Clay ordered two suitcases ($44.50 each) from a catalog. He had to

Mathematics

1 answer:

ratelena [41]2 years ago

3 0

Answer:

I believe your answer is C 94.79

If this answer is wrong please let me know my apologies

Step-by-step explanation:

If my math is correct

44.50+44.50=89

Now, find the tax value by multiplying tax rate by the before tax price:

tax = 85 × 0.065

tax = 5.53 (tax value rounded to 2 decimals)

Add tax to the before tax price to get the final price:

The final price including tax = 85 + 5.53 = 90.53

90.53 plus the shipping 3.89=94.79

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Gloria works at least 10 hours per week but no more than 25 hours each week. She earns 9.00 an hour. Her weekly earnings depend

emmasim [6.3K]

Answer:

[90,225] notation or 135 range

Step-by-step explanation:

10x9=90

25x9=225

[900,2250] notation or 1350 range

7 0

3 years ago

The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3

Alekssandra [29.7K]

Answer:

$9\pi \text{ cubic meters per hour}$

Step-by-step explanation:

Since, the surface area of a cylinder,

$A= 2\pi r^2 + 2\pi rh$ ................(1)

Where,

r = radius,

h = height,

If $A= 36\pi\text{ square meters}, h = 3\text{ meters}$

$36\pi = 2\pi r^2 + 2\pi r(3)$

$18 = r^2 + 3r$

$\implies r^2 + 3r - 18=0$

$r^2 + 6r - 3r - 18 = 0$ ( by middle term splitting )

$r(r+6)-3(r+6)=0$

$(r-3)(r+6)=0$

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

$\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})$

∵ h = constant, ⇒ dh/dt = 0,

$\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}$

We have, $\frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}$

$9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}$

$9\pi = (12\pi + 6\pi )\frac{dr}{dt}$

$9\pi = 18\pi \frac{dr}{dt}$

$\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}$

Now,

Volume of a cylinder,

$V=\pi r^2 h$

Differentiating w. r. t. t,

$\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}$

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3 years ago

In ΔQRS, the measure of ∠S=90°, SR = 7, QS = 24, and RQ = 25. What is the value of the tangent of ∠Q to the nearest hundredth?

TEA [102]

Answer:tanQ=

adjacent

opposite

≈0.2917≈0.29

Step-by-step explanation:

trust me bro

8 0

3 years ago

Solve for x, 5-x/3=-15

tatuchka [14]

The answer is x=50

Hope this help!

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3 years ago

I have 2 more questions I still need help with sorry about me keep asking questions

algol13

I can't help I don't see a question

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4 years ago