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zhuklara [117]
1 year ago
6

Find the exact interest for $52,600 at 8.5% for 82 days

Mathematics
1 answer:
Anton [14]1 year ago
3 0

We would apply the formula for calculating simple interest which is expressed as

I = PRT

where

I is interest after time t

P is the principal or initial amount

R is the interest rate

T is the time in years

From the information given,

P = 52600

R = 8.5/100 = 0.085

t = 82 days

We need to convert 82 days to years. Recall,

365 days = 1 yr

82 days = 82/365 = 0.2246575

Thus, t = 0.2246575 year

Substituting these values into the formula, we have

I = 52600 x 0.085 x 0.2246575

I = 1004.44

The interest is $1004.44

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On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).
Vlad1618 [11]

Answer:

Area of parallelogram ABCD=13.05=13 Sq.Units

Step-by-step explanation:

Given;

A(3,6)  B(6,5)  C(5,1) and D(2,2)

are points for parallelogram

To Find:

Area of Parallelogram ABCD

Solution:

By using distance formula  we can calculate for each length of parallelogram

But by property of parallelogram

Opposite side are parallel and equal in length

So AB|| DC i.e AB=DC

And AC|| BD i.e BD=AC

Hence  I.e Dist(AB)=Dist(DC)

Now construct the ABCD parallelogram ,on graph so as to find angle made by parallelogram with plane .

(Refer the attachment)

Now

Distance of AD=Sqrt[(2-3)^2+(2-6)^2]

=Sqrt[1+16]

=4.123

Similarly for AB=Sqrt[(6-3)^2+(5-6)^2]

=Sqrt[9+1]

=3.16

ABOVE VALUES ARE SAME AS GRAPH (REFER THE ATTACHMENT)

Now ,angle made by parallelogram with plane and it is 90 degree i.e the

Now Area of parallelogram(ABCD)=a*b*sinФ

here a=4.123 units and b=3.16 units and  Ф=90

Area of parallelogram=3.167*4.123*sin90

=3.167*4.123

=13.05 sq. units

3 0
3 years ago
Read 2 more answers
What type of triangle has side lengths 9, 10, and √130? A. obtuse B. not a triangle C. acute D. right
EastWind [94]

Answer: Option C.

Step-by-step explanation:

The lengths of our triangle are:

9, 10 and √130.

If the triangle is a triangle rectangle, by the Pitagoream's theorem we have:

A^2 + B^2 = H^2

in this case H is the larger side, this must be √130.

then:

A and B must be 9 and 10.

9^2 + 10^2 = (√130)^2

81 + 100 = 130

This is false, so this is NOT a triangle rectangle, the hypotenuse is shorter than it should be.

Now, we have some kind of rule:

 if A^2 + B^2 = H^2 then we have one angle of 90° and two smaller ones. (triangle rectangle)

 if A^2 + B^2 > H^2 then all the angles are smaller than 90°, this is an acute triangle.

 if A^2 + B^2 < H^2 then we have one angle larger than 90°, this is an obtuse angle.

(H is always the larger side, A and B are the two shorter ones).

In this case:

81 + 100 > 130

Then this must be an acute angle.

3 0
3 years ago
-3x+6y= -3 and -5+y=-23
Ira Lisetskai [31]

-5 +y = -23

add 5 to each side

y = -18

-3x+6y = -3

-3x + 6(-18) = -3

-3x -108 = -3

add108 to each side

-3x = 105

divide by -3

x = -35


x=-35

y= -18



5 0
3 years ago
Read 2 more answers
Ok what next helppp i need 2
pickupchik [31]

Answer:

3-2

Step-by-step explanation

8 0
3 years ago
20 points answer right uestion 1(Multiple Choice Worth 4 points)
suter [353]

Answer:

two and one fifth

Step-by-step explanation:

8 0
3 years ago
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