Lana and Ron each opened a separate bank account with $1000. They were both offered a 4.5% interest rate for 2 years. After 2 years, Lana’s account had more money than Ron’s. What could explain the difference?A.Lana’s account earned simple interest; Ron’s account earned compound interest.

B.Lana invested funds for a longer time period.

C.Lana’s account had a higher interest rate.

D.Lana’s account earned compound interest; Ron’s account earned simple interest.

Answers

Answer 1

Answer: i think the answer is D, simple intrest stays the same

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Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 162 = 2(x + k)(x − k)(x + 9)

k= ____________

Answers

If you would like to know the value of the coefficient 'k' in the factored form, you can find this using the following steps:

2x^3 + 18x^2 - 18x - 162 = 2 * (x^3 + 9x^2 - 9x - 81) = 2 * (x^2(x + 9) - 9(x + 9)) = 2 * ((x + 9) * (x^2 - 9)) = 2 * (x + 9) * (x - 3) * (x + 3) = 2 * (x + 3) * (x - 3) * (x + 9)

The correct result would be: k = 3.

Answer: THE ANSWER IS 3

Step-by-step explanation:

The sum of the page numbers of two facing pages in a book is 145. What are the page numbers?

Answers

The answer is 72 and 73. When you add 72+73 it equals 145.

The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 80 cm. What are the dimensions of the rectangle?length = 25 cm; width = 15 cm
length = 22 cm; width = 18 cm
length = 24 cm; width = 16 cm
length = 23 cm; width = 14 cm

Answers

Answer:

Length = 25 cm , Width = 15 cm.

Step-by-step explanation:

Given : The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 80 cm.

To find : What are the dimensions of the rectangle.

Solution : We have given

Perimeter = 80 cm .

According to question :

Let width of rectangle = W .

Length is twice its width.

L = 2W .

Length of a rectangle is 5 centimeters less than twice its width.

L = 2W - 5.

Then ,

Perimeter = 2 ( length + width).

Plug the values

80 = 2 ( 2W - 5 + W ) .

80 = 2( 3W -5) .

On dividing both sides by 2

40 = 3W - 5 .

On adding both sides by 5.

45 = 3 W .

On dividing both sides by 3.

W = 15 cm .

L = 2W - 5.

L = 2 ( 15) - 5 .

L = 30 -5 .

L = 25 cm .

Therefore, Length = 25 cm , Width = 15 cm.

Hello,

Answer A
Let's the width of the rectangle

2a-5 its length
Teh half perimeter is 80/2=40
a+2a-5=40 ==>3a=45==>a=15 and 2a-5=30-5=25

For which value of x is undefined?

Answers

'Undefined' is usually another name for 'infinity', which always pops up when you try to divide by zero.

In this one, there's a fraction, and you're asked: "When is the fraction undefined ?"

If the denominator of the fraction is ever zero, then that's nothing but the old
"division by zero", which is forbidden, not permitted, and undefined.

The denominator of the fraction is x² + 3x + 2 . Can that ever be zero ?
It might be easier to see if you factor it:
(x + 2) · (x + 1) = 0
This equation is true if x=-2 OR x=-1 .
Either way, the denominator of the fraction is zero.
So those are the values of 'x' for which the fraction is undefined.

I don't get this question

Answers

Answer:

1/4

Step-by-step explanation:

Use the equation of a line from 2 points.

Paul opened a bakery. The net value of the bakery (in thousands of dollars) ttt months after its creation is modeled by v(t)=2t^2-12t-14v(t)=2t 2 −12t−14v, left parenthesis, t, right parenthesis, equals, 2, t, squared, minus, 12, t, minus, 14 Paul wants to know what his bakery's lowest net value will be. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation.

Answers

Given:

The net value of the bakery (in thousands of dollars) t months after its creation is modeled by

$v(t)=2t^2-12t-14$

Paul wants to know what his bakery's lowest net value will be.

To find:

The function in a different form (factored or vertex) where the answer appears as a number in the equation.

Solution:

Factor form is used to find the x-intercepts and vertex form is used to find the extreme values (maximum or minimum). So, here we need to find the vertex form.

We have,

$v(t)=2t^2-12t-14$

$v(t)=2(t^2-6t)-14$

Adding and subtract square of half of 6 in the parenthesis, we get

$v(t)=2(t^2-6t+3^2-3^2)-14$

$v(t)=2(t^2-6t+3^2)+2(-9)-14$

$v(t)=2(t-3)^2-18-14$ $[\because (a-b)^2=a^2-2ab+b^2]$

$v(t)=2(t-3)^2-32$

Vertex form:

$f(x)=a(x-h)^2+k$

where, (h,k) is vertex.

On comparing this equation with vertex form, we get the of the function is (3,-32).

Therefore, the vertex form is $v(t)=2(t-3)^2-32$ and the function has minimum value at (3,-32). It means, minimum net value of the bakery is -32 after 3 months.

The vertex form is v(t) = 2(t - 3)² - 32 and the function has a minimum value at (3,-32). It means the minimum net value of the bakery is -32 after 3 months.

Given that,

Paul opened a bakery.

The net value of the bakery (in thousands of dollars) t months after its creation is modelled by the equation v(t) = 2t²- 12t - 14.

Paul wants to determine the bakery's lowest net value.

To rewrite the function in a different form,

Find the vertex of the quadratic equation.

The vertex form of a quadratic equation is given by,

v(t) = a(t-h)² + k,

Where (h, k) represents the coordinates of the vertex.

Proceed, v(t) = 2t² - 12t - 14,

v(t) = 2(t² - 6t) - 14,

v(t) = 2(t² - 6t + 3² - 3²) - 14

v(t) = 2(t - 3)² - 32

Vertex form:

v(t) = a(t-h)² + k,

where, (h,k) is vertex.

On comparing this equation with vertex form, we get the function is (3,-32).

Therefore,

The vertex form is v(t) = 2(t - 3)² - 32 and the function has a minimum value at (3,-32). It means minimum net value of the bakery is -32 after 3 months.

To learn more about quadratic equations visit:

brainly.com/question/30098550

#SPJ3

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