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mr_godi [17]
2 years ago
7

PLEASE HELP ME!!!! THIS IS TIMED PLEASE HELP ME!!!! PLEASE!!!! PLEASE HELP ME!

Mathematics
2 answers:
guapka [62]2 years ago
7 0

Answer:

18/28

Step-by-step explanation:

MissTica2 years ago
7 0
23/28 i could be wrong
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Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont
love history [14]

Answer:

\approx 17.5% per annum

Step-by-step explanation:

<u>Given:</u>

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

<em>Interest is compounded annually.</em>

<u>To find:</u>

Rate of growth = ?

<u>Solution:</u>

First of all, let us have a look at the formula for compound interest.

A = P \times (1+\frac{R}{100})^T

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%

So, the correct answer is \approx <em>17.5% </em>per annum and compounding annually.

6 0
3 years ago
Consider the system of equations
Free_Kalibri [48]

Answer:

(-3,-8)

Step-by-step explanation:

okay so what we can do here is elimination

we can do this first by multiplying the entire second equation by 2

so then it would become

2(5x-2y=1)

10x-4y=2

now we can add the two equations together which will eliminate y

so

-8x+4y=-8 plus

10x-4y=2 equals

2x=-6

we did that by combining like terms

next we can simplify that

x=-3

now we can plug that into the equation

-8(-3)+4y=-8

simplify

24+4y=-8

4y=-32

y=-8

our answer would be

(-3,-8)

7 0
3 years ago
Read 2 more answers
Could use some help with this. Ty to all who help!
Gekata [30.6K]
106 they add up to 180
6 0
2 years ago
Read 2 more answers
A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:
marin [14]

Answer:

Range = 85

\sigma = 28.71

Interval = [666.78, 781.62]

Step-by-step explanation:

Given

The data for 25 undergraduates

Solving (a): Range and Standard deviation

The range is:

Range = Highest - Least

From the dataset:

Highest = 772

Least = 687

So:

Range = Highest - Least

Range = 772-687

Range = 85

The standard deviation is:

\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}

First, calculate the mean

\bar x = \frac{769 +691 +............+715}{25}

\bar x = \frac{18105}{25}

\bar x = 724.2

So, the standard deviation is:

\sigma = \sqrt{\frac{(769-724.2)^2 +(691-724.2)^2 +(699-724.2)^2 +(730-724.2)^2 +............+(715-724.2)^2}{25}}

\sigma = \sqrt{\frac{20604}{25}}

\sigma = \sqrt{824.16}

\sigma = 28.71

Solving (b): The interval of the 95% of the observation.

Using the emperical rule, we have:

Interval = [\bar x - 2*\sigma, \bar x+ 2*\sigma]

Interval = [724.2 - 2*28.71, 724.2 + 2*28.71]

Interval = [666.78, 781.62]

4 0
2 years ago
Use the net to find the surface area of the prism.<br><br> ft^2
Varvara68 [4.7K]
Consider that long row as 1 big rectangle with base 6+11+6+11=34 and height of 8
area=34*8=272 ft^2

the 2 rectangles on side

the sbase is 11
the height is 6 since it has to match with the other 2 side things
2*6*11=132

add to find total
132+272=404 ft^2
6 0
3 years ago
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