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Pachacha [2.7K]
3 years ago
6

Mitchell took out a loan for $1100 at a 19.2% APR, compounded monthly, to

Mathematics
1 answer:
goldenfox [79]3 years ago
4 0

Answer:

C. 18

Step-by-step explanation:

We can find the numbers of payments using following formula

PV = PMT(1- (1+r)^-n)/r

PVr / PMT = 1 - (1+r)^-n

Where

PV = present value = $1,100

PMT = monthly payments = $71.50

r = interest rate = 19.2% / 12 = 1.6%

n = numbers of month = ?

Placing values in the formula

(1+r)^-n = 1 - PVr /PMT

1.016^-n = 1-1100 x 0.016/71.50

1.016^-n = 0.753846154

-n x log 1.016 = log 0.753846154

n = - log 0.753846154 /log 1.016

n = 17.8

n = 18 payments

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<h3>How to determine the functions?</h3>

A quadratic function is represented as:

y = a(x - h)^2 + k

<u>Question #6</u>

The vertex of the graph is

(h, k) = (-1, 2)

So, we have:

y = a(x + 1)^2 + 2

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Evaluate the like terms

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Substitute a = -4 in y = a(x + 1)^2 + 2

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<u>Question #7</u>

The vertex of the graph is

(h, k) = (2, 1)

So, we have:

y = a(x - 2)^2 + 1

The graph pass through (1, 3)

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3 = a(1 - 2)^2 + 1

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<u>Question #8</u>

The vertex of the graph is

(h, k) = (1, -2)

So, we have:

y = a(x - 1)^2 - 2

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-3 = a(0 - 1)^2 - 2

Evaluate the like terms

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Substitute a = -1 in y = a(x - 1)^2 - 2

y = -(x - 1)^2 - 2

Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

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1 year ago
A couple want to buy a house that costs $542 000. They pay a 20% deposit and borrow the rest of
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Step-by-step explanation:

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1 year ago
What is the q1 of 531 469 573 206 374 421 505 489 702
Galina-37 [17]

Answer: Order the data to find the minimum, maximum, and quartiles.

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Step-by-step explanation: I hoped this helped in some way or form.

6 0
2 years ago
The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81 degrees. What is the ap
GuDViN [60]

Answer:

A.  5.19 units

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\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}

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Substituting given values into the equation and solving for r:

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7 0
1 year ago
Read 2 more answers
6x^2-4xy-15xy+10y^2 factor by grouping
PtichkaEL [24]
4 answers · Mathematics
Best Answer
We will need to split the middle term and use the grouping method. To do this multiply the coefficient of the first term (6) against the coefficient of the last term (10):

6 * 10 = 60
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From the list of factors find two numbers that when added together give -19 and when multiplied together give 60. -15 and -4 added together give -19 and multiplied together give 60 so split the middle term by rewriting these values back into the expression:

6x^2 - 15xy - 4xy + 10y^2

Now use the grouping method, take out the highest common factor between the two sets of terms:

3x(2x - 5y) - 2y(2x - 5y)

Group the outside terms:

(3x - 2y)(2x - 5y)


Answers
6 = -3*-2
10 = 5*2
5*3+2*2=19
thus
(2y-3x)(5y-2x)
8 0
3 years ago
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