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3 years ago

Solve

Mathematics

2 answers:

Strike441 [17]3 years ago

8 0

Answer:

x=± $\sqrt{15/2}$

Step-by-step explanation:

Misha Larkins [42]3 years ago

4 0

Answer:

Step-by-step explanation:

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4 Sheila buys 200 shares of stock at $18.25 per share and sells them at $32.50 per

JulsSmile [24]

Answer:

Step-by-step explanation:

If Sheila buys

200 shares for 18.25

200*18.25==3650

she sells them for

200*32.50=6500

her profit is

6500-3650=2850.00

another way to solve this would be

32.50-18.25=14.25

14.25*200=2850

7 0

3 years ago

I want to earn $42,000 for a new car, I have 12,678, How much more money do I need to buy the car?

laila [671]

So, you have $12,678. However, you want to earn $42,000 for a new car. If you want to figure out how much money you need, you need to subtract the number of money you want to earn by the number of money that you already have:

$42,000 - 12, 678 = 29,322$

You would need $29,322 more in order to buy the car.

8 0

3 years ago

A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

3 years ago

A chalkboard has a perimeter of 18 ft and is 6 ft long. Find the height of the chalkboard

MakcuM [25]

P = 2H + 2L
L = 6
P = 18
18 = 2H + 2*6
18 = 2H + 12
6 = 2H
H = 3 ft

3 0

4 years ago

Read 2 more answers

The population of a local species of bees can be found using an infinite geometric series where a1=860 and the common ratio is 1

erma4kov [3.2K]

$a_1=860$
$a_2=\dfrac{a_1}5$
$a_3=\dfrac{a_2}5=\dfrac{a_1}{5^2}$
$\vdots$
$a_n=\dfrac{a_{n-1}}5=\dfrac{a_{n-2}}{5^2}=\cdots=\dfrac{a_1}{5^{n-1}}$

The $k$ th partial sum is

$\displaystyle S_k=\sum_{n=1}^ka_n=\sum_{n=1}^k\frac{a_1}{5^{n-1}}$
$S_k=a_1\left(1+\dfrac15+\dfrac1{5^2}+\cdots+\dfrac1{5^{k-2}}+\dfrac1{5^{k-1}}$
$\dfrac15S_k=a_1\left(\dfrac15+\dfrac1{5^2}+\dfrac1{5^3}+\cdots+\dfrac1{5^{k-1}}+\dfrac1{5^k}\right)$

$\implies S_k-\dfrac15S_k=a_1\left(1-\dfrac1{5^k}\right)$
$\dfrac45 S_k=860\left(1-\dfrac1{5^k}\right)$
$S_k=1075-\dfrac{1075}{5^k}$

As $k\to\infty$ , we're left with

$\displaystyle\sum_{n=1}^\infty a_n=\lim_{k\to\infty}\left(1075-\frac{1075}{5^k}\right)=1075$

which is the upper limit to the population of the bees.

4 0

3 years ago