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2 years ago

HELP PLEASE I WILL GIVE BRAINLIEST IF I CAN

Mathematics

1 answer:

mamaluj [8]2 years ago

6 0

Answer:

$L$ ≤ $29$

Step-by-step explanation:

Given

Perimeter = 57 (at most)

Required

Determine the length of each side

The term at most in the values of the perimeter shows that the expression is an inequality and it means that perimeter can't exceed that value;

Let L represents the length of each sides;

Perimeter $=L+L+L$

So,

$L+L+L$ ≤ $57$

$3L$ ≤ $57$

Divide both sides by 3

$3L$ ÷ $3$ ≤ $57$ ÷ $3$

$L$ ≤ $29$

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Point m is located at 4,-2 what is located 2 units for point m

eimsori [14]

Answer:

None

Step-by-step explanation:

Given

$m = (4,-2)$

Required

Point 2 units from m

There are 4 possible points 2 units from m and they are:

$m' = (4+2,-2) = (6,-2)$

$m" = (4,-2+2) = (4,0)$

$m'''= (4-2,-2) = (2,-2)$

$m'''' = (4,-2-2) = (4,-4)$

From the graph, we have:

$A = (4,2)$

$B = (-4,2)$

$C = (2,-3)$

None of the points is 2 units from m

7 0

2 years ago

When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100

ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the future value FV.

In order to see the rule of formation, let's see the value (in $) for the first few years

End of year 0

1,000

End of year 1(capital + interest + new deposit)

1,000*(1.09)+10

End of year 2 (capital + interest + new deposit)

(1,000*(1.09)+10)*1.09 +10 =

$\bf 1,000*(1.09)^2+10(1+1.09)$

End of year 3 (capital + interest + new deposit)

$\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)$

and we can see that at the end of year 50, the future value is

$\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}$

The sum

$\bf 1+1.09+(1.09)^2+...+(1.09)^{49}$

is the sum of a geometric sequence with common ratio 1.09 and is equal to

$\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356$

and the future value is then

$\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564$

The present value PV is

$\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62$

rounded to the nearest hundredth.

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3 years ago

Doug had a total of $75 to buy 3 pictures for his room. He paid the same amount for each picture and had $27 left over. How much

iren [92.7K]

Around 16 dollars. 75-27=48. 48/3=16

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2 years ago

Rewrite equation -qx+p=r

hodyreva [135]

Answer:-qx+p=r

Step-by-step explanation:

8 0

2 years ago

What is the output of the function f(x) = x + 21 if the input is 4? When the input is 4, the output of f(x) = x + 21 is

notka56 [123]

To find the output when you know the input, just plug the input into the function.

x+21=4+21=25

The output is 25.

Hope this helps!

8 0

3 years ago

Read 2 more answers