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11Alexandr11 [23.1K]
3 years ago
15

Sarah bought a lawnmower for $320. She signed up for the buy now pay later plan at the store with the following conditions: $100

down and payments of $25 for the next 12 months. The extra cost paid by taking this plan is equivalent to what actual yearly rate of interest? A. 67% B. 65% C. 25% D. 85%
Mathematics
1 answer:
gogolik [260]3 years ago
4 0
Amount of lawnowner bought by Sarah=$320 Down payment by Sarah= $100 Sarah paid in 12 months = 12 x 25 $ = 300$ $ paid by sarah = 300+12$=400$ Excess amount paid as interest by sarah=400-320=80$ yearly rate of interest paid by sarah = 80/320 x 100=25% so 25% yearly interest was paid by sarah, so the correct option is C. hope this helps.
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If nm = 8x - 14 and jk = x squared + 1, find JK
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A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The length of Jk can be either 10 or 26.

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

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since in a rectangle the opposite sides are equal, therefore, the sides NM and JK will be equal.

JK = MN

8x - 14 = x² + 1

0 = x² - 8x + 15

x = 5, 3

Hence, the length of Jk can be either 10 or 26.

The complete questions are:

Quadrilateral JKMN is a rectangle, if NM= 8x - 14 and JK= x squared + 1, find JK.

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94. Birth Rate of Unmarried Women In the United States, the birth rate B of unmarried women (births per 1000 unmarried women) fo
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Using concepts of quadratic equation, we have that:

a) The age of unmarried women with the highest birth rate 29 years.

b) The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

c) B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

The birth-rate for women of age a is given by:

B(a) = -0.33a^2 + 19.17a - 213.37

Which is a quadratic equation with coefficients a = -0.33, b = 19.17, c = -213.37

Item a:

The age with the highest value is the a-value for the vertex, which is:

a_V = -\frac{b}{2a} = -\frac{19.17}{2(-0.33)} = 29

The age of unmarried women with the highest birth rate 29 years.

Item b:

The rate is B(29), which is:

B(29) = -0.33(29)^2 + 19.17(29) - 213.37 = 65

The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

Item c:

B(40) = -0.33(40)^2 + 19.17(40) - 213.37 = 25.43

B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

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