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KonstantinChe [14]

3 years ago

11

White correction fluid is sold in a 7/10 ounce bottle.Blue correction fluid is sold in a 6/10 ounce bottle.You buy one bottle of

each color. How much more white correction fluid than blue do you get?

1 answer:

gayaneshka [121]3 years ago

7 0

1/10 oz...I believe that would be correct

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What is an equation of the line that passes through the point (6,-2)(6,−2) and is parallel to the line 5x+3y=65x+3y=6?

ohaa [14]

Answer:

I need sum more detail

Step-by-step explanation:

6 0

3 years ago

Find the value of x. Round to the nearest tenth.

tiny-mole [99]

Answer:

x=18.0

Step-by-step explanation:

$x^2=a^2+b^2-2ab\;cos\; (30)$

$x^2=16^2+30^2-2(16)(30)cos(30)$

$x^2=324.62$

$x=18.0$

4 0

2 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,

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

6 0

3 years ago

Twice a year for 15 years, Warren Ford invested $1,700 compounded semiannually at 6% interest. What is the value of this annuity

-BARSIC- [3]

The value of Warren Ford annuity due is $80,878.21

Define Future Value of an Annuity.

The future value of an annuity is the value of a group of recurring payments at a certain date in the future, assuming a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity's future value.

Given,

Payment fund semiannually is = $1,700

Rate = 6% or 0.06

Time = 15 years

The future value is,

FVₙ =PMT( (1+i/m)ⁿ - 1 ) / (i/m) )

Where,

PMT = $1,700

i = 0.06

m = 2

n = 15 * 2 = 30 periods

Now, plug in the values

FV₃₀ = PMT ( (1 + 0.06/2)³⁰ - 1 ) / (0.06/2) )

= $1,700( (1.03)³⁰ - 1 ) / (0.03) )

≈ $80,878.2067 or $80,878.21

Hence, the value of Warren Ford annuity due is $80,878.21

To read more about Future Value

brainly.com/question/27011316

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6 0

1 year ago

Help me i have homework

nadezda [96]

3x - 5 = 10 or 3 × 5 - 5 = 10

y ÷ x - 4 = 14 or 36 ÷ 2 - 4 = 14

3 0

3 years ago

Read 2 more answers