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Misha Larkins [42]
3 years ago
9

Use the constant ratio formula to find the approximate annual percentage rate to the nearest tenth of a percent for a $2000 loan

repaid in 12 payments with an interest charge of $180
Mathematics
1 answer:
prisoha [69]3 years ago
8 0

Answer:

  16.6%

Step-by-step explanation:

The constant ratio formula tells you the amount of total interest is ...

  I = Br(n+1)/(2m)

where B is the loan amount, r is the approximate APR, n is the number of payments, m is the number of payments per year.

Filling in the given values and solving for r, we get ...

  180 = 2000r(12 +1)/(2·12)

  180 = 26000r/24

  r = 180·24/26000 ≈ 0.16615 ≈ 16.6%

The approximate annual percentage rate is 16.6%.

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Figure ABCD is a parallelogram. Points X and Y are placed so that BX ≅ DY and CD ⊥ XY.
alisha [4.7K]

A quadrilateral in which opposite sides are parallel is called a parallelogram. The correct option is D.

<h3>What is a parallelogram?</h3>

A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

For a parallelogram, the opposite sides are equal and parallel to each other. We can write,

AD ≅ BC

Since BX ≅ DY, therefore, we can write,

AB = CD

AX + XB = DY + YC

XB = DY, cancelling both the sides,

AX = YC.

Also, XY is the common side.

Since all the sides are equal also the angle are equal, therefore, it can be written,

AXDY ≅ CYXB

Given the area of CYXB is 71.5 square units. Therefore,

ABCD = CYXB + AXDY

ABCD = 2(CYXB)

ABCD = 143 square units.

Hence, the correct option is D.

Learn more about Parallelogram:

brainly.com/question/1563728

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8 0
1 year ago
· At Jefferson High School, 30% of students drive to school, 60% of students ride the bus to
Marrrta [24]

Answer:

Difference = 250 students

Step-by-step explanation:

Let the total number of students be x.

Given the following data;

% driving = 30%

% riding = 60%

% walking = 10%

Number of students driving = 375

First of all, we would determine the total number of students.

Total = 30/100 * x = 375

0.3x = 375

Total, x = 375/0.3

Total, x = 1250 students.

Next, we determine the number of students walking;

Walking = 10/100 * 1250

Walking = 12500/100

Walking = 125 students

Finally, we would determine many more students drive to school than walk to school;

Difference = 375 - 125

Difference = 250 students

3 0
3 years ago
How to do this question plz answer me step by step plzz plz ​
Iteru [2.4K]

Answer:

£13496.80

Step-by-step explanation:

We can ignore the £ sign for now, that is just units.

If we decrease a number by 4.5%, we will have to find 100-4.5=95.5% of 14132.77.

We can easily do this by setting up a proportion.

\frac{x}{14132.77} = \frac{95.5}{100}

Multiply 14132.77 by 95.5:

14132.77\cdot95.5=1349679.535

Divide by 100:

1349679.535\div100=13496.79535

Rounding this to two decimal places, it simplifies to 13496.80.

Hope this helped!

4 0
3 years ago
What is the 42rd term in the arithmetic sequence 15,11,7 (give solution)
Natalija [7]

Answer:

a

Step-by-step explanation:

becase it is

8 0
3 years ago
Find the value of x and y from the figure, if A, B &amp; C are points on the circle with centre O.
Over [174]

Answer:

x=55 y=125

Step-by-step explanation:

X= 110/2=55

if BC is 110, BAC=250

so Y=250/2=125

7 0
3 years ago
Read 2 more answers
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