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2 years ago

How much interest does a $407 investment earn at 6% over seven years?

Mathematics

1 answer:

SVEN [57.7K]2 years ago

7 0

Answer:

$204.98

Step-by-step explanation:

407(1+0.06)^7

611.98

611.98-407

204.98

So it made $204.98

Hope this helps

You might be interested in

A study is conducted to determine how long a person will wait on hold on a telephone call before hanging up. A sample of 1000 pe

babymother [125]

Answer:

CI = ( 0,539 ; 0,599)

Step-by-step explanation:

The proportion p₀ of person that hung up the phone in the first minute of waiting is:

p₀ = 569/1000 p₀ = 0,569 p₀ = 56,9 %

Then q₀ = 1 - 0,569 q₀ = 0,431 q₀ = 43,1 %

Sample size is n = 1000

A 95 % CI is: α = 5 % α = 0,05 a/2 = 0,025

In z-table we look z ( score ) for 0,025 z = ± 1,96

Now CI for proportion is:

p₀ - z (α/2) * √ (p₀*q₀ )/n < p < p₀ + z (α/2) * √ (p₀*q₀ )/n

we need to find out

z(α/2) * √ (p₀*q₀ )/n = 1,96*√ ( 0,569*0,431)/1000 = 1,96 *0,01566 =0,03

Then

CI ( 95%) = 0,569 ± 0,03 = ( 0,569 - 0,03 ; 0,569 + 0,03)

CI = ( 0,539 ; 0,599)

5 0

3 years ago

For the following right triangle, find the side length x. Round your answer to the nearest hundredth. X, 18, and 10

konstantin123 [22]

Answer:

152

Step-by-step explanation:

All segments in a triangle add to 180. 1

8+10+x=180

x=152

3 0

2 years ago

The volume of a _________ is equal to ___ the volume of a cylinder that has the same base and height. The formula for the volume

katrin2010 [14]

Answer:

cone, $\frac{1}{3}$ , $\frac{1}{3} \pi r^{2}h$ , $\pi r^{2}$ , base, h, height, same, $\frac{1}{3}$ , $\frac{1}{3}$ , 3

Step-by-step explanation:

The volume of a cone is equal to $\frac{1}{3}$ the volume of a cylinder that has the same base and height. The formula for the volume of a cone is $\frac{1}{3}\pi r^{2}h$ . stands for the area of the base and h is the height of the cone. Knowing this, we could quickly find the volume of a cone that has the same base and height as a cylinder with a volume of 9 cubic cm. Since the volume of a cone is $\frac{1}{3}$ the volume of a cylinder (with the same base and height), we would multiply 9* $\frac{1}{3}$ to obtain a volume of 3 cubic cm.

4 0

2 years ago

Given the functionf ( x ) = x^2 + 7 x + 10/ x^2 + 9 x + 20

vladimir1956 [14]

<em>x = -4 is a vertical asymptote for the function.</em>

<h2>Explanation:</h2>

The graph of $y=f(x)$ is a vertical has an asymptote at $x=a$ if at least one of the following statements is true:

$1) \ \underset{x\rightarrow a^{-}}{lim}f(x)=\infty\\ \\ 2) \ \underset{x\rightarrow a^{-}}{lim}f(x)=-\infty \\ \\ 3) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty \\ \\ 4) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty$

The function is:

$f(x)=\frac{x^2+7x+10}{x^2+9x+20}$

First of all, let't factor out:

$f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20} \\ \\ f(x)=\frac{x(x+5)+2(x+5)}{x(x+5)+4(x+5)} \\ \\ f(x)=\frac{(x+5)(x+2)}{(x+5)(x+4)} \\ \\ f(x)=\frac{(x+2)}{(x+4)}, \ x\neq 5$

From here:

$\bullet \ When \ x \ approaches \ -4 \ on \ the \ right: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(-4^{+}+2)}{(-4^{+}+4)} \\ \\ \\ The \ numerator \ is \ negative \ and \ the \ denominator \\ is \ a \ small \ positive \ number. \ So: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=-\infty$

$\bullet \ When \ x \ approaches \ -4 \ on \ the \ left: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(-4^{-}+2)}{(-4^{-}+4)} \\ \\ \\ The \ numerator \ is \ a \ negative \ and \ the \ denominator \\ is \ a \ small \ negative \ number \ too. \ So: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=+\infty$

Accordingly:

$x=-4 \ is \ a \ vertical \ asymptote \ for \\ \\ f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20}$

<h2>Learn more:</h2>

Vertical and horizontal asymptotes: brainly.com/question/10254973

#LearnWithBrainly

5 0

3 years ago

Please answer right away

Delicious77 [7]

Answer:

independent

Step-by-step explanation:

Since no one else answered, figured you wouldn't mind if I do. :-), and you didn't use any CAPS.

How those two events (even and greater than 9) relate?

independent: YES. Can one happen without the other? Certainly. You see (1,1) is an even number that is not greater than 9. Equally, you see (6,5) which is greater than 9, but is not an even number.

inclusive: No, since there's a least one case where a pair number is not greater than 9. The opposite is also true... at least 1 number > 9 that is not even.

Mutually exclusive: No, since there numbers that are even AND greater than 9 (6,4) for example.

Conditional: No. Does one need the other to happen? Absolutely not.

5 0

3 years ago