X÷40=25.5<br> What does x equal

If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a)

Luba_88 [7]

Answer:

Diverge

Step-by-step explanation:

(a)

1st year: $1000 * 1.08^1 = \$1080$

2nd year: $1000 * 1.08^2 = \$1166.4$

3rd year: $1000 * 1.08^3 = \$1259.71$

4th year: $1000 * 1.08^4 = \$1360.49$

5th year: $1000 * 1.08^5 = \$1469.33$

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

$(1000*1.08^n)^{'} = 1000ln(n)*1.08^n$

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

$(1000ln(n)*1.08^n)^{'} = 1000\frac{ln(n)}{n}1.08^n$

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

5 0

3 years ago

The price of a share of stock for company XYZ at the beginning of the week was $23.99. Over the next five days, the share of sto

ladessa [460]

$25.12

Work:

23.99+3.60=27.59

27.59-4.51=23.08

23.08+0.95=24.03

24.03+2.17=26.20

26.20-1.08=25.12

7 0

2 years ago

Read 2 more answers

find the population increase from 1591 million and 40280 million find the percent round to the tenth

Kazeer [188]

INCREASE IN %: [(40280-1591)/1591]X 100% = 2,432&

For your info the increase between 2 amounts A₁ & A₂ =(A₁-A₂)/A₁

7 0

3 years ago

Rewrite in simplest rational exponent form <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%2A%20%5Csqrt%5B4%5D%7Bx%7D" id="T

Shkiper50 [21]

The given expression written in the simplest rational exponent form is $x^{\frac{3}{4} }$

<h3>Writing an Expression in Exponent form</h3>

From the question, we are to write the given expression in exponent form

The given expression is

$\sqrt{x} \times \sqrt[4]{x}$

In exponent form,

$\sqrt{x} = x^{\frac{1}{2} }$

and

$\sqrt[4]{x} = x^{\frac{1}{4} }$

Thus, $\sqrt{x} \times \sqrt[4]{x}$ becomes

$x^{\frac{1}{2} } \times x^{\frac{1}{4} }$

Applying the multiplication law of indices, we get

$x^{\frac{1}{2} + \frac{1}{4} }$

= $x^{\frac{3}{4} }$

Hence, the given expression written in the simplest rational exponent form is $x^{\frac{3}{4} }$

Learn more on Writing an expression in exponent form here: brainly.com/question/4421494

#SPJ1

5 0

9 months ago

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the followin

romanna [79]

Answer:

see the procedure

Step-by-step explanation:

Let

x ----> the number of dogs

y ---> the number of cats

we know that

The ratio of the number of dogs to the number of cats is 4:5

so

$\frac{x}{y}=\frac{4}{5}$

$x=\frac{4}{5}y$ ----> equation A

That means ---> The number of dogs is 4/5 the number of cats

There are 270 animals on the rescue farm

so

$x+y=270$ ----> equation B

Substitute equation A in equation B

$\frac{4}{5}y+y=270$

solve for y

$\frac{9}{5}y=270$

$y=270(5)/9\\y=150\ cats$

Find the value of x

$x=\frac{4}{5}(150)=120\ dogs$

<u><em>Verify each statement</em></u>

a) The number of dogs is 4/5 the number of cats

The statement is true (see the explanation)

b) 4/5 of the pets at the farm are dogs

The statement is false

Because

(4/5)(270)=216 dogs

The number of dogs is 120 not 216 (see the explanation)

c) There are exactly 30 more cats than dogs

The statement is true

Because, there are 150 cats and 120 dogs (see the explanation)

d) There are exactly 30 dogs at the farm

The statement is false

Because, there are 120 dogs in the farm (see the explanation)

e) 5/9 of the pets at the farm are cats

The statement is true

Because

(5/9)270=150 cats

The number of cats is 150 (see the explanation)

7 0

3 years ago

X÷40=25.5 What does x equal