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3 years ago

Select the correct answer from each drop-down menu.

Mathematics

1 answer:

8090 [49]3 years ago

5 0

Answer:

<u>His monthly payment for the loan will be $ 239.28, and the total finance charge for the loan will be $2,356.80.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Principal of the loan = $ 12,000

Interest rate = 7.3% annually = 0.073/12 = 0.00608333 monthly

Time of the loan = 5 years or 60 months

2. His monthly payment for the loan will be $_______, and the total finance charge for the loan will be $ ___________.

Let's use the monthly payment formula this way:

M = P * [r * (1 + r)ⁿ/(1 + r)ⁿ - 1]

Where,

M = monthly payment

P = principal

r = interest rate

n = number of payments

Replacing with the real values, we have:

M = 12,000 * [0.00608333 * (1.00608333)⁶⁰/ (1.00608333)⁶⁰- 1]

M = 12,000 * (0.008753441 /0.438922)

M = 12,000 * 0.01994

Now, we can calculate the total finance charge for the loan, this way:

Total finance charge = (Monthly payment * Number of payments) - Principal of the loan

Total finance charge = (239.28 * 60) - 12,000

Total finance charge = 14,356.80 - 12,000

<u>Total finance charge = $ 2,356.80</u>

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Shtirlitz [24]

One can determine the number of roots by seeing the degree of the given polynomial.

The number of roots can be determined by just seeing the highest power of the given equation.

1) for the equation x-4=0

here, the highest power of the equation is one. So, it will have one root.

<h3>What is the polynomial?</h3>

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtract multiplication, on, and non-negative integer exponentiation of variables.

Let's check it by simplifying x-4=0 which implies x=4

Hence, the equation has only one root namely x = 4.

2) Consider a quadratic equation,

10t^2-t-3=0

here, the highest power of the equation is two. So, it will have two roots.

Let's check it by simplifying using the middle term splitting method,

10t^2+5t-6t-3=0

5t(2t+1)-3(2t+1)=0

(5t-3)(2t+1)=0

t=-3/5 or t=-1/2

Thus, the equation has two roots.

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3 0

1 year ago

(a) The parametric equations x = f(t) and y = g(t) give the coordinates of a point (x, y) = (f(t), g(t)) for appropriate values

Gnesinka [82]

Answer:

Step-by-step explanation:

a). Given a parametric equation, we are describing a set of coordinates based on the value of t. The variable t is called the parameter.

b) we have the following equations. x=t y=t^2, so in order for us to know where the object is at t=t' we must replace t with the specific value t'. Hence, when t=0 the object is at (0,0^2) = (0,0) (the origin). When t=6, the object is at (6,6^2) = (6,36).

c). To eliminate the parameter, we replace the parameter in one equation by using the second equation. Recall that we have that x=t. Then, by replacing in the second equation, we have the following

$y=t^2 = (x)^2 = x^2$

where $x\geq 0$

5 0

3 years ago

brand X pizza is having a special coupon offer. if you buy two large pizzas, you get $2.00 off the total price before tax. a lar

soldier1979 [14.2K]

Answer:

Very handy question to know the answer to. I know of no place on the planet that does not have a tax of some sort.

The tax only applies when money changes hands. It does not apply to any discounts

So if you take the deal, the cost is

Cost of 2 pizzas = normal price - the discount.

Cost of 2 pizzas = 2*10.50 - 2.00

Cost of 2 pizzas = 21 - 2

Cost of 2 pizzas = 19.00 dollars.

Not you add on the sales tax. You can do this one of two ways, the long way or the short way.

Long way

Find the sales tax

Tax = % * cost

Tax = (7.5/100) * 19

Tax = 1.425 don't round yet.

Total Cost = purchase + tax

Total Cost = 19.00 + 1.425 = 20.425 Now round. This is a real problem. It depends on what you have been told to do about rounding when 5 is the last digit. I round up. So my answer would be 20.43 <<<<< Answer.

Short Way

Cost = (Price - discount)*(1 + %/100)

Cost = (21 - 2)*(1+ 7.5/100)

Cost = 19 * (1.075)

Cost = 20.425 = 20.43

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Hello, and good morning ppl!!<br> what´s <img src="https://tex.z-dn.net/?f=%5Csqrt%7B70%2A%2070%7D" id="TexFormula1" title="\sqr

Tamiku [17]

your question :

$\sqrt{70 \times 70}$

here's the solution,

=》

$\sqrt{10 \times 7 \times 10 \times 7}$

=》

$10 \times 7$

=》

$70$

i hope it helped you..... good luch for your English exam.....

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3 years ago

Read 2 more answers

A certain right triangle has area 30 in. squared . one leg of the triangle measures 1 in. less than the hypotenuse. let x repres

Brut [27]

A) The length of the longer leg is x-1

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.. 60/(x -1) = √(2x -1)
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d) There is one positive real root, at x=13. A graphical solution works well.

The three sides of the triangle are 5 in, 12 in, 13 in.

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3 years ago