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3 years ago

15

Mr. Reciprocal started walking as his New Year's resolution. He calculated that he can walk 1/2 mile in 1/4 of an hour. What is

his walking rate in miles per hour

1 answer:

kondaur [170]3 years ago

4 0

2 hours per hour cause 1/4=15 min 1/2 times 4 equals 2 so 2 miles per hour

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Mumz [18]

Answer: $4,365.10

Step-by-step explanation:

Ok, we know that:

The account starts with $2350

There is a simple interest of 3.75% (or 0.035).

Then after one year, the amount in the account will increase by 3.75%, this means that the amount will be:

$2350 + 0.035*$2350 = (1.035)*$2350.

After another year, we have the same increase (but applied to the new amount in the account):

(1.035)*$2350 + 0.035*(1.035)*$2350. = (1.035)^2*$2350

And so on.

You already can see the pattern here, the amount of money in the saving account after N years will be:

M(N) = $2350*(1.035)^N.

Now we can answer:

what is the balance of the account if it earns a simple interest of 3.75% for 18 years?

Just replace N by 18 in that equation:

M(18) = $2350*(1.035)^18 = $4,365.10

6 0

2 years ago

What is the rate of change from x = n to x = 2n?

puteri [66]

Answer:

$\dfrac{-8}{\pi}$

Step-by-step explanation:

The rate of change of the function f(x) from point $x_1$ to point $x_2$ can be calculated using formula

$\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$

Given

$x_1=\pi\\ \\x_2=2\pi$

From the graph of the function

$f(x_1)=f(\pi)=4\\ \\f(x_2)=f(2\pi)=-4$

So, the rate of change is

$\dfrac{f(x_2)-f(x_1)}{x_2-x_1}=\dfrac{-4-4}{2\pi -\pi}=\dfrac{-8}{\pi}$

5 0

3 years ago

Find the 97th term of the arithmetic sequence

kozerog [31]

<h2>Answer:</h2><h2>The 97th term in the series is 409</h2>

Step-by-step explanation:

The given sequence is 25, 29, 33, ....

The sequence represents arithmetic progression

In an AP, the first term is a1 = 25

The difference between two terms, d = 29 - 25 = 4

To find the 97th term,

By formula, $a_{n} = a_{1} + (n - 1) d$

Substituting the values in the above equation, we get

$a_{97} = 25 + (97 - 1) 4$

= 25 + (96 * 4)

= 25 + 384

= 409

The 97 th term in the given sequence is 409.

3 0

2 years ago

Graph: y - 10 = -2(z – 10)

ZanzabumX [31]

Slope = -2; y-intercept = 30

points: (2, 26); (3, 24)

3 0

3 years ago

When reading a book, Charlie made a list by writing down the page number of the last page he finished reading at the end of each

Assoli18 [71]

Answer:

No. of pages he read by the end of the 8th day = 425

Step-by-step explanation:

Charlie started from page 1 and read the same number of pages each day. Suppose x is the number of pages he read each day, the last page he read on the first day would be:

<u>Last page for day 1 = 1 + x</u>

This would be the first number he noted on the list.

The second page number can be determined by adding the number of pages he read to the last page for day 1.

Last page for day 2 = 1 + x + x

= 1 + 2x

Similarly, the last page he read on the third day is:

Last page for day 3 = 1 + 3x. Similarly,

Last page for day 4 = 1 + 4x

Last page for day 5 = 1 + 5x

Last page for day 6 = 1 + 6x

Last page for day 7 = 1 + 7x

Last page for day 8 = 1 + 8x

His Mom added all of the page numbers and got a total of 432. So,

432 = 1+x + 1+2x + 1+3x + 1+4x + 1+5x + 1+6x + 1+7x + 1+8x

432 = 8 + 8x

8x = 432-8

8x = 424

x = 424/8

x = 53

By the end of the 8th day he actually read 1 + 8x pages. Substituting the value of x in this expression, we get:

No. of pages he read by the end of the 8th day = 1 + 8(53)

= 1 + 424

No. of pages he read by the end of the 8th day = 425

4 0

3 years ago