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sergeinik [125]
1 year ago
9

Price of article = $315.50

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

The true annual interest rate to the nearest tenth is <u>16.7%</u>.

<h3>How is interest determined?</h3>

The interest amount for this scenario can be determined by computing the total mortgage payment and subtracting the mortgage amount from the earlier figure.

Since payment was made for 20 months, the interest rate can be annualized using 24 months as below.

<h3>Data and Calculations:</h3>

Price of article = $315.50

Down payment = $31.55

Mortgage amount = $283.95

Monthly payment amount = $16.50

Duration of payments = 20 months

Total payment (mortgage and interest) = $330 (20 x $16.50)

Interest = $46.05 ($330 - $283.95)

Annualized interest rate = 16.7% ($46.05/$330 x 24/20)

Thus, the true annual interest rate to the nearest tenth is <u>16.7%</u>.

Learn more about compound interests at brainly.com/question/19950566

#SPJ1

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MAXImum [283]


2 goes into all the terms so;

2(-2x² + 7x - 3) now you could factor it:

2(-2x - 1)(x + 3)

5 0
2 years ago
A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s
makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = Length \times Breadth = xy

We are given that the area of the garden is 122 square feet

So, xy=122 ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = 30x+20(\frac{122}{x})

Total cost = \frac{2440}{x}+30x

Now take the derivative to minimize the cost

f(x)=\frac{2440}{x}+30x

f'(x)=-\frac{2440}{x^2}+30

Equate it equal to 0

0=-\frac{2440}{x^2}+30

\frac{2440}{x^2}=30

\sqrt{\frac{2440}{30}}=x

9.018 =x

Now check whether it is minimum or not

take second derivative

f'(x)=-\frac{2440}{x^2}+30

f''(x)=-(-2)\frac{2440}{x^3}

Substitute the value of x

f''(x)=-(-2)\frac{2440}{(9.018)^3}

f''(x)=6.6540

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

(9.018)y=122

y=\frac{122}{9.018}

y=13.528

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

4 0
3 years ago
Helppppppppppppppppppppppppppppppppppppppppp
mojhsa [17]

<u><em>Answer:</em></u>

<u><em>$55.93 or rounded up is $56</em></u>

<u><em>Division</em></u>

<u><em>First, we would divide 15.98 by 2 to see how many dollars would a bag cost.</em></u>

<u><em>15.98 divided by 2 = $7.99</em></u>

<u><em>Multiplication</em></u>

<u><em>Then, we would multiply by 7 to see how may dollars would it cost for 7 kg bag</em></u>

<u><em>7.99 times 7 = 55.93</em></u>

<u><em>Round-up</em></u>

<u><em>If we round it up, we get $56.</em></u>

<u><em>Request</em></u>

<u><em>Please give me brainliest :)</em></u>

6 0
2 years ago
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AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 58º.
Marat540 [252]

Answer:

32°

Step-by-step explanation:

Given:

∠DMQ = 58º

In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°

Therefore, ∠MDQ = 90°

The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:

180 = ∠DMQ + ∠MDQ + ∠DQM

Solving for ∠DQM, we have:

∠DQM = 180 - ∠DMQ - ∠MDQ

∠DQM = 180 - 90 - 58

∠DQM = 32°

The measure of ∠DQM is 32°

6 0
3 years ago
(3/2)2+4÷2⋅3 simplify
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Hi there!

(3/2)2+4<span>÷2*3 = 9

Hope this helps! :)</span>
8 0
3 years ago
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