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3 years ago

8

Your friend tells you that if you let him keep 50 of your Pokemon cards for a month, he will give you 1 card extra

1 answer:

ivolga24 [154]3 years ago

4 0

Answer:

0.2682 or 26.82%

Step-by-step explanation:

The monthly interest rate (r) that your friend is willing to pay is:

$r=\frac{1}{50}=0.02$

The following expression converts a monthly interest rate (r) into an annual interest rate (i):

$r=\sqrt[12]{1+i}-1$

For r = 0.02:

$0.02=\sqrt[12]{1+i}-1 \\1.02^{12}-1=i\\i=0.2682$

Your friend is willing to pay an annual rate of 0.2682 or 26.82%.

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In synthetic division, you start by bringing down the first 1 in the box. Multiply that by the 1 outside the box and get a 1. Put that new 1 under the 2 inside the box and add to get 3. Multiply the outside the box by that 3 to get 3 and put that new 3 under the -3 in the box and add to get 0. Multiply that 0 by the 1 outside the box to get 0. Put that 0 under the 2 and add to get the remainder of 2. Your answer is 2, C.

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3 years ago

What is the sum of 1/4 1/8 and 3/8

antiseptic1488 [7]

1/4 + 1/8 + 3/8 = (2*1 +1 +3)/8 = (2+1+3)/8 = 6/8 = 3/4

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3 years ago

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3 years ago

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Find each of the numbers below. Simplify your answers as much as possible.

puteri [66]

Answer:

a. 4

b. -8

c. -2

Step-by-step explanation:

Take any number x;

Its opposite is -x

The opposite of its opposite is x

Using the above statements, we can solve the following questions

Solving (a): -4

In this case:

$x = -4$

The opposite; -x is

$-x = -(-4)$

$-x = 4$

Solving (b): 8

In this case:

$x = 8$

The opposite; -x is

$-x = -8$

Solving (c): -2

In this case:

$x = -2$

The opposite; -x is

$-x = -(-2)$

$-x = 2$

The opposite; -(-x) is

$-(-x) = -2$

$x = -2$

5 0

3 years ago

Daniela and Jack are hiking a steady incline. They use their GPS device to determine their elevation every 15 minutes. At 15 min

kow [346]

Answer:

$h=40t+9700$

where the elevation, h, is in feet and time, t, is in minutes.

Step-by-step explanation:

At the time, $t_1=15$ min, the elevation, $h_1= 10,300$ feet and

at the time $t_2= 30$ min, the elevation, $h_2=10,900$ feet.

As they are hiking a steady incline, so the change in the elevation with respect to time will be constant.

So, there will be a linear relationship between the elevation and the time.

Let $h$ be the elevation at any time instant $t$ , so the linear relation among these quantities is

$h=mt+C_0\;\cdots(i)$

where $m$ is the rate of change of elevation with respect to time and $C_0$ is constant.

The change in the elevation, $\Delta h=h_2-h_1= 10,900-10,300=600$ feet.

and the change in time, $\Delta t=t_2-1_1=30-15=15$ min.

So, change in the elevation in unit time,

$m=\frac{\Delat h}{\Delta t}=\frac{600}{15}=40$ feet/min.

Now, from equation (i)

$h=40t+C_0$

As the elevation, $h=h_1$ at time $t=t_1$ , so

$10,300=40\times15+C_0$

$\Rightarrow C_0=9700$

Hence, the required equation is

$h=40t+9700$

where the elevation, $h$ , is in feet and time, $t$ , is in minutes.

3 0

3 years ago