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3 years ago

If you deposit $4000 into an account paying 6%

Mathematics

1 answer:

masha68 [24]3 years ago

6 0

1,200
Multiply the deposit by the percent by the time. PLEASE MARK BRAINLIEST!

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Two cyclists, 55 miles apart, start riding toward each other at the same time. One cycles 5 miles per hour faster than the other

tangare [24]

Answer:

r = 6 mph and f = 11 mph

Step-by-step explanation:

Representations:

1) speed of faster cyclist: f = r + 5

2) speed of slower cyclist: r

Distances covered:

(r + 5)(5 hr) + r(5) = 55 mi (total distance covered)

Then 5r + 25 + 5r = 55, or, after reducing this equation:

r + 5 + r = 11, or

2r = 6

Then r = 6 mph and f = 11 mph

8 0

3 years ago

K'Mar was painting the walls of his house. He could paint 1/3 of a wall in 3/5 of an hour. how many walls does he paint per hour

fredd [130]

2 walls per hour!! I hope it helps

4 0

3 years ago

Find the volume of a cone with a diameter of 12.9 cm and a height of 16.6 cm.

alexdok [17]

Answer:

112cm^3

Step-by-step explanation:

Formula for volume of a cone is:

$\frac{1}{3} \times \pi \times {r}^{2} \times h$

r = radius and h = height

To find the radius you divide the diameter by 2:

12.9 ÷ 2 = 6.45

Now substitute values into the formula:

$\frac{1}{3} \times \pi \times {6.45}^{2} \times 16.6$

Which equals 112cm^3

3 0

2 years ago

Can you show me the steps to factor out 8x^3 - 27y^3?

Travka [436]

$(2x-3y)(4x^2+6xy+9y^2)$ is the factored form of $8x^3-27y^3$

<em><u>Solution:</u></em>

We have to factor the given expression

$8x^3-27y^3$

We can use the algebraic identity to factor the given expression

$a^3-b^3=(a-b)(a^2+ab+b^2)$

Lets make the given expression in form of $a^3-b^3$

$8x^3-27y^3=(2)^3(x)^3-(3)^3(y)^3$

$8x^3-27y^3=(2x)^3-(3y)^3$

Now apply the algebraic property in above expression

Here, a = 2x and b = 3y

Therefore,

$(2x)^3-(3y)^3=(2x-3y)((2x)^2+(2x)(3y)+(3y)^2)$

$(2x)^3-(3y)^3=(2x-3y)(4x^2+6xy+9y^2)$

Thus the given expression is factored out

7 0

4 years ago

T × 3/5 for t =8/9 pleas help

Korolek [52]

$\frac{8}{9} * \frac{3}{5}= \frac{24}{45}
$ which reduces to $\frac{8}{15}$

4 0

3 years ago