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3 years ago

13

Ernie deposits $9,800 into a pension fund. The fund pays a simple interest rate of 7%. What will the balance be after four years

?

1 answer:

telo118 [61]3 years ago

6 0

Answer:

$12,845.80

Step-by-step explanation:

take the first number and go +7%. repeat four times

hope this helps :-)

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The perimeter of Square three is 20.4 square units in the perimeter of square two is 27.2 square units what is the area of squar

koban [17]

Answer:

a=554.88

Step-by-step explanation:

20.4*27.2=

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3 years ago

A bus trip takes 1.5 hours. By plane, the same trip takes 30 minutes. How

DENIUS [597]

Answer:

2 times faster

Step-by-step explanation:

because the plane takes one hour less than the bus and 60 min equal a hour and 30 plus 30 equal 60 which is a hour so then it would be 2 times as faster because it is 30 twice to equal the 60

4 0

3 years ago

4. a) A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If t

Klio2033 [76]

First part of question:

Find the general term that represents the situation in terms of k.

The general term for geometric series is:

$a_{n}=a_{1}r^{n-1}$

$a_{1}$ = the first term of the series

$r$ = the geometric ratio

$a_{1}$ would represent the height at which the ball is first dropped. Therefore:

$a_{1} = k$

We also know that the ball has a rebound ratio of 75%, meaning that the ball only bounces 75% of its original height every time it bounces. This appears to be our geometric ratio. Therefore:

$r=\frac{3}{4}$

Our general term would be:

$a_{n}=a_{1}r^{n-1}$

$a_{n}=k(\frac{3}{4}) ^{n-1}$

Second part of question:

If the ball dropped from a height of 235ft, determine the highest height achieved by the ball after six bounces.

$k$ represents the initial height:

$k = 235\ ft$

$n$ represents the number of times the ball bounces:

$n = 6$

Plugging this back into our general term of the geometric series:

$a_{n}=k(\frac{3}{4}) ^{n-1}$

$a_{n}=235(\frac{3}{4}) ^{6-1}$

$a_{n}=235(\frac{3}{4}) ^{5}$

$a_{n}=55.8\ ft$

$a_{n}$ represents the highest height of the ball after 6 bounces.

Third part of question:

If the ball dropped from a height of 235ft, find the total distance traveled by the ball when it strikes the ground for the 12th time. 

This would be easier to solve if we have a general term for the <em>sum </em>of a geometric series, which is:

$S_{n}=\frac{a_{1}(1-r^{n})}{1-r}$

We already know these variables:

$a_{1}= k = 235\ ft$

$r=\frac{3}{4}$

$n = 12$

Therefore:

$S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{1-\frac{3}{4} }$

$S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{\frac{1}{4} }$

$S_{n}=(4)(235)(1-\frac{3}{4} ^{12})$

$S_{n}=910.22\ ft$

8 0

3 years ago

50 more points<br> sdadadada

creativ13 [48]

Switch the variable x and y with each other. Then the correct option is B.

<h3>What is inverse of a function?</h3>

Let the function will be

f: X → Y

Then the inverse function will be

f⁻¹: Y → X

The function is given below.

f(x) = 3x – 10

Then the inverse function of the f(x) will be

Put y in place of f(x).

x = 3y – 10

3y = x + 10

y = (x + 10) / 3

Switch the variable x and y with each other.

Then the correct option is B.

Learn more about inverse function here:

brainly.com/question/19425567

#SPJ1

7 0

1 year ago

A company has $54,000 in a bank account that pays an interest of 2% per year. How much money can I withdraw at the end of one ye

RSB [31]

Answer:

$55,080

Step-by-step explanation:

Hope this helps.

3 0

3 years ago

Read 2 more answers