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kirza4 [7]
2 years ago
3

Lucy earned $400 and $550 in interest the last 2 years. Describe the average interest she should earn in each of the next 3 year

s so that her total earnings over the 5-year period are at least $2300.
Mathematics
1 answer:
Cerrena [4.2K]2 years ago
8 0

Answer:

The minimum average interest she should earn in each of the next 3 years is $450

Step-by-step explanation:

Let

x -----> the average interest she should earn in each of the next 3 years

we know that

The sum of the amount earned over the 5-year period must be greater than or equal to $2,300

The inequality that represent this situation is

400+550+3x \geq 2,300

Solve for x

Combine like terms left side

950+3x \geq 2,300

subtract 950 both sides

3x \geq 2,300-950

3x \geq 1,350

Divide by 3 both sides

x\geq \$450

therefore

The minimum average interest she should earn in each of the next 3 years is $450

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a rectangular piece of paper 71 cm long and 10m wide . a cylinder is formed by rolling the paper along its length , find volume
natka813 [3]

Answer:

Volume=355 cm³

Step-by-step explanation:

I assume it should be 10 cm, not 10 m.  If it is 10 m, everything will have to be adjusted.

Circumference = 2\pir

10=2\pir

10÷2\pi=r

1.59=r

V=\pir²h

V=\pi(1.59)(71)

v=355

7 0
2 years ago
Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit. (Hint: Assume that
Vadim26 [7]
So... if you notice the picture below

each circle, has their central angle at the vertex of the triangle
that simply means, 3 circles with a radius of 3, overlapping the triangle

now, the area in the middle, the shaded one, will be, the whole area of the triangle MINUS those 3 circle sectors

hmmmm each sector has 60°, that means, all three of them will then be 60+60+60 or 180°, so the area of those three sectors, can be combined into a 180° sector, well, hell, 180° is really half a circle

so.... the area of those three sectors of 60° each, all three combined, is the same area of half a circle with a radius of 3

so    \bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad s=\textit{length of one side}\\\\
-----------------------------\\\\
\textit{area of a circle}\\\\
A=\pi r^2\qquad r=radius\\\\
\textit{area of half a circle}\\\\
A=\cfrac{\pi r^2}{2}\\\\
-----------------------------\\\\

\bf \textit{now, let us use the side of 6, and radius of 3}
\\\\\\

\begin{array}{clclll}
\cfrac{6^2\sqrt{3}}{4}&-&\cfrac{\pi 3^2}{2}\\
\uparrow &&\uparrow \\
triangle's&&semi-circle's
\end{array}\impliedby \textit{area of shaded area}\\\\
-----------------------------\\\\
\boxed{\cfrac{36\sqrt{3}}{4}-\cfrac{9\pi }{2}}

you can, add the fractions if you want, or leave them like that, or get their difference by using their decimal format

8 0
2 years ago
Read 2 more answers
A company that manufactures small canoes has a fixed cost of $ 18 comma 000$18,000. It costs $ 120$120 to produce each canoe. Th
Scilla [17]
If the company makes 1 canoe only, then the cost is, the fixed cost plus how much it costs for the 1 canoe, or
180,000 + 1*120

if it makes 2 canoes
180,000 + 2*120
3 canoes   180,000 + 3*120
4canoes   180,000 + 4*120
x canoes  180,000 + x*120

so... we dunno what "x" is, but whatever "x" maybe, the cost ends up as 180,000 + x*120, or 180,000 + 120x

now, let's see the revenue
1 canoe 1 * 240
2 canoes 2*240
3 canoes 3*240
x canoes x*240

so.. whatever "x" maybe, the Revenue is x*240 or 240x

break-even point is when, the amount of expenses and earnings cancel each other out, or, there's no profit, but there's no loss either, same amount that's spent is also earned back

so, the break-even point occurs when Revenue = Cost

180,000 + 120x = 240x     <--- solve for "x"
4 0
2 years ago
​You'd like to estimate the proportion of the 12,152 full-time undergraduate students at a university who are foreign students.
Minchanka [31]

Answer:

a) The data distribution consists of ( 7 )​1's (denoting a foreign ​student) and ( 43 )0's (denoting a student from the​ U.S.).

b) The population distribution consists of the​ x-values of the population of 12,152 full-time undergraduate students at the​university, ( 6 )​% of which are​ 1's (denoting a foreign​ student) and ( 94 )% of which are​ 0's (denoting a student from the​ U.S.).

c) The mean is ( 0.06 )

The standard deviation is ( 0.0336 )

The sampling distribution represents the probability distribution of the ( sample ) proportion of foreign students in a random sample of ( 50 ) students. In this​ case, the sampling distribution is approximately normal with a mean of ( 0.06 ) and a standard deviation of ( 0.0336 )

Step-by-step explanation:

5 0
2 years ago
Beck finished 30% of his homework in 12 minutes. How many minutes will it take him to complete all of his homework?
arlik [135]
The correct answer is choice D.  If you put choice D into words, it is saying 30% (0.3) of the total is 12 minutes.

To solve this, use inverse operations.

<span><u>0.3m</u> = <u>12</u>
</span>0.3       0.3
m = 40

It will take Beck 40 minutes.

7 0
2 years ago
Read 2 more answers
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