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solmaris [256]
4 years ago
5

Find the distance between the two points -2,2 and 2,-1. Show your work​

Mathematics
1 answer:
Alex4 years ago
8 0

(-2,2) (2,-1)

You can use Pythagorean  theorem to solve this:

     a^{2} +b^{2} =c^{2}

3^{2} + 4^{2} =c^{2}

9 + 16=c^{2}

25 = c^{2}

\sqrt{25} =\sqrt{c^{2} }

c = 5

^^^This means that the length between the two points is 5 units

Hope this helped! Let me know if there is anything else I can do!

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Your grandparents invested $2,000 for you on the day you were born. How much will this investment be worth on your 25th birthday
algol [13]

We know that, Amount in Compound interest is given by :

\bigstar \ \ \boxed{\sf{Amount = Principal\bigg(1 + \dfrac{Rate \ of \ Interest}{100}\bigg)^{Time \ Period}}}

Given : Principal = $2000

Given : Annual yield is 5% and the interest is compounded quarterly

It means : Interest is compounded 4 times in a year

\implies \sf{Rate \ of \ Interest = \dfrac{R}{4} = \dfrac{5}{4}}

\sf{\implies Time \ period = (25 \times 4) = 100}

Substituting all the values in the formula, we get :

\implies \sf{Amount = 2000\bigg(1 + \dfrac{\dfrac{5}{4}}{100}\bigg)^{100}}

\implies \sf{Amount = 2000\bigg(1 + \dfrac{5}{400}\bigg)^{100}}

\implies \sf{Amount = 2000\bigg(1 + \dfrac{1}{80}\bigg)^{100}}

\implies \sf{Amount = 2000\bigg(\dfrac{81}{80}\bigg)^{100}}

\implies \sf{Amount = 2000 \times (1.0125)^{100}}

\implies \sf{Amount = 2000 \times 3.463}}

\implies \sf{Amount = 6926.8}

8 0
3 years ago
a carpet is laid on a rectangular floor which measures 4meters by 5meters. if the carpet covers 60% of the floor find the area o
Yuri [45]

Answer:

12 m²

Step-by-step explanation:

Area of the floor:

area = length * width

area = 4 m * 5 m

area = 20 m²

area of carpet = 60% of area of the floor

area of carpet = 0.6 * 20 m²

area of carpet = 12 m²

3 0
3 years ago
The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y.
Ne4ueva [31]

Answer:

If you're trying to find the measurement of angle z then it'd be 2x degrees, since its twice that of angle y, which is x degrees

Step-by-step explanation:

5 0
3 years ago
In order to solve the following system of equations we add :
vlabodo [156]
False, you want to subtract in order to get rid of the 2x in both equations
5 0
3 years ago
Noah raised $54, which is 60% of his fundraising goal to support the animal shelter.
zmey [24]

Answer:

make shur your using fractions

54 60

x   100 cross multiply

54(100)   60(x)

5400          60x

divided both by 60

5400/60    60/60

90                   1

= $90

then you go

54  60

90  100

and use a caculater to see if your answer is coorect

you just fowllow the steps to see if you get 90

Step-by-step explanation:

3 0
3 years ago
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