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Karo-lina-s [1.5K]
3 years ago
15

An account earns simple interest. $1675 at 4.6% for 4 years

Mathematics
1 answer:
Paul [167]3 years ago
5 0

Answer:

$308.20

Step-by-step explanation:

The simple interest formula i = p·r·t applies here:

($1675)(0.046)(4) = $308.20

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He vertices of square pqrs are p -4,0 q 4,3 r 7,-5 and s -1,-18.Show that the diagonals of square pqrs are congruent perpendicul
Anit [1.1K]

Answer:

Step-by-step explanation:

The vertices of the square given are P(-4, 0), Q(4, 3), R(7, -5) and, S(-1, -18)

For this diagonal to be right angle the slope of the diagonal must be m1=-1/m2

So let find the slope of diagonal 1

The two points are P and R

P(-4, 0), R(7, -5)

Slope is given as

m1=∆y/∆x

m1=(y2-y1)/(x2-x1)

m1=-5-0/7--4

m1=-5/7+4

m1=-5/11

Slope of the second diagonal

Which is Q and S

Q(4, 3), S(-1, -18)

m2=∆y/∆x

m2=(y2-y1)/(x2-x1)

m2=(-18-3)/(-1-4)

m2=-21/-5

m2=21/5

So, slope of diagonal 1 is not equal to slope two

This shows that the diagonal of the square are not diagonal.

But the diagonal of a square should be perpendicular, this shows that this is not a square, let prove that with distance between two points

Given two points

(x1,y1) and (x2,y2)

Distance between the two points is

D=√(y2-y1)²+(x2-x1)²

For line PQ

P(-4, 0), Q(4, 3)

PQ=√(3-0)²+(4--4)²

PQ=√(3)²+(4+4)²

PQ=√9+8²

PQ=√9+64

PQ=√73

Also let fine RS

R(7, -5) and, S(-1, -18)

RS=√(-18--5)+(-1-7)

RS=√(-18+5)²+(-1-7)²

RS=√(-13)²+(-8)²

RS=√169+64

RS=√233

Since RS is not equal to PQ then this is not a square, a square is suppose to have equal sides

But I suspect one of the vertices is wrong, vertices S it should have been (-1,-8) and not (-1,-18)

So using S(-1,-8)

Let apply this to the slope

Q(4, 3), S(-1, -8)

m2=∆y/∆x

m2=(y2-y1)/(x2-x1)

m2=(-8-3)/(-1-4)

m2=-11/-5

m2=11/5

Now,

Let find the negative reciprocal of m2

Reciprocal of m2 is 5/11

Then negative of it is -5/11

Which is equal to m1

Then, the square diagonal is perpendicular

6 0
3 years ago
Monica wants to save at least $399 to buy a new laptop computer. She has $284 saved already. Which options below will allow her
german

Answer:

She is given $205 and spends $57.

She earns $580 and spends $422.

She is given $38 and earns $42.

She earns $56 and is given $59.

Step-by-step explanation:

You just have to do the math.

4 0
3 years ago
Please solve quickly ​
solong [7]

Answer:

24.9π

Step-by-step explanation:

Curcle Area=πR^2

A= πR^2 × 140°/360°

A= π×8^2 × 0.389 =~ 78.15

4 0
1 year ago
After lunch, the family has 1/8 of a pizza left. What percentage of the pizza did they eat
ira [324]

Answer:

7/8 of the pizza was eaten

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She will receive $18.50.
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