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3 years ago

8

Ann Nguyen would like an installment loan for 5,000. Her bank will loan her the money at 12% for 18 months. Her insurance compan

y will loan her the money at 12% for 24 months. Which loan would cost her less?

2 answers:

lina2011 [118]3 years ago

7 0

Answer:

The 18 months would cost less

Maurinko [17]3 years ago

4 0

Ann Nguyen would like an installment loan for 5,000. Her bank will loan her the money at 12% for 18 months. Her insurance company will loan her the money at 12% for 24 months. Which loan would cost her less?

anser

the 12% one

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saul85 [17]

$\large\underline{\sf{Solution-}}$

<u>Let us assume that:</u>

$\sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } }$

We can also write it as:

$\sf \longmapsto x = \sqrt{6 + x }$

Squaring both sides, we get:

$\sf \longmapsto {x}^{2} =6 + x$

$\sf \longmapsto {x}^{2} - x - 6 =0$

By splitting the middle term:

$\sf \longmapsto {x}^{2} - 3x + 2x - 6 =0$

$\sf \longmapsto x(x - 3) + 2(x - 3 ) =0$

$\sf \longmapsto (x+ 2)(x - 3 ) =0$

<u>Therefore:</u>

$\longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}$

$\sf \longmapsto x = - 2,3$

<u>But x cannot be negative. </u>

$\sf \longmapsto x = 3$

Therefore, the value of the expression is 3.

$\large\underline{\sf{Verification-}}$

Given:

$\sf\longmapsto x=3$

We can also write it as:

$\sf\longmapsto x = \sqrt{9}$

$\sf\longmapsto x = \sqrt{6+3}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{9}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}$

This pattern will continue.

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}$

7 0

3 years ago

What would -32 - 24 become if you rewrote the problem to adding the opposite?

Travka [436]

Answer:

If you add it the opposite then it would have a larger sum

Step-by-step explanation:

5 0

3 years ago

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Which of the following exponential regression equation best fits the data shown below. Please help ASAP. ☺️

stepladder [879]

Answer:

Option D [ $y=6.61\,*\,1.55^x$ ] in the list of possible answers

Step-by-step explanation:

For this problem you are supposed to use a calculator that allows you to do an exponential regression. There are many tools that can help you with that, depending on what your instructors has assigned for your class.

I am showing you the results of a graphing tool I use, and which after entering the x-values and the y-values in independent "List" forms, when I request the exponential regression to fit the data, I get what you can see in the attached image.

Notice that the exponential of best fit with my calculator comes in the form:

$y=A\,e^{k\, x}$

with optimized parameters:

$A \approx 6.6114\,\,\,and\,\,\, k=0.4378321$

Notice as well that since:

$e^{0.4378321} \approx 1.5490$

the exponential best fit can also be written:

$y=6.611403\,\,*\,e^{0.4378321\, x}=6.611403\,*\,1.549^{\,x}$

and this expression is very close to the last option shown in your list of possible answers

8 0

3 years ago

Anonymous 3 years ago

scZoUnD [109]

I'm in 7th grade and I need help with my math homework

8 0

3 years ago

Which expression has a positive value?

Black_prince [1.1K]

Answer:

3 (negative 64 divided by 8) + 25 = 1

Step-by-step explanation:

Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14

8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20

3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1

Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3

The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25

6 0

3 years ago

Read 2 more answers