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3 years ago

6

suppose you invest $700 in a savings account that pays 4.2% annual interest compounded continuously. how much money will be in t

he account after 5 years?

1 answer:

Elina [12.6K]3 years ago

7 0

Answer:

847

Step-by-step explanation:

700 ÷100 = 7

7× 4.2 = 29.4

29.4×5 =147

500+147

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Starting with the definition 1.00in. = 2.54 cm, find the number of kilometers in 7.00mi . Please describe conversions.

ella [17]

The answer is 11.265408 km.

To calculate the number of kilometers, we will use several conversions:
A) 1 mi = 63,360 in
B) 1 in = 2.54 cm
C) 1 cm = 0.00001 km

A) 1 mi = 63,360 in
7 mi = 63,360 in · 7 = 443,520 in

B) 1 in = 2.54 cm
443,520 in = 2.54 cm · 443,520 = 1,126,540.80 cm

C) 1 cm = 0.001 km
1,126,540.80 cm = 0.00001 km · 1,126,540.80 = 11.265408 km

6 0

3 years ago

Read 2 more answers

Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?

NeX [460]

Answer:

The function is $y~=~12 ~-~ 0.5 \cdot x$ .

The slope is $m=-0.5$ .

The y-intercept is $b=12$ .

Step-by-step explanation:

Our aim is to calculate the values <em>m</em> (slope) and <em>b</em> (y-intercept) in the equation of a line :

$y=mx+b$

We have the following data:

$\begin{array}{c|cccc}x&2&4&6&12\\y&11&10&9&6\end{array}$

To find the line of best fit for the points given, you must:

Step 1: Find $X\cdot Y$ and $X\cdot X$ as it was done in the table below.

Step 2: Find the sum of every column:

$\sum{X} = 24 ~,~ \sum{Y} = 36 ~,~ \sum{X \cdot Y} = 188 ~,~ \sum{X^2} = 200$

Step 3: Use the following equations to find <em>b</em> and <em>m</em>:

$\begin{aligned} b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 36 \cdot 200 - 24 \cdot 188}{ 4 \cdot 200 - 24^2} \approx 12 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 4 \cdot 188 - 24 \cdot 36 }{ 4 \cdot 200 - \left( 24 \right)^2} \approx -0.5\end{aligned}$

Step 4: Assemble the equation of a line

$\begin{aligned} y~&=~b ~+~ m \cdot x \\y~&=~12 ~-~ 0.5 \cdot x\end{aligned}$

The graph of the regression line is:

5 0

3 years ago

-6x + 7x + 14 = 3<br>Drag and drop the reasons into the boxes to correctly complete the tables.

PilotLPTM [1.2K]

Answer:

Dude just drag it into the box

Step-by-step explanation:

5 0

3 years ago

Me ajudem nessa equação :<br> 10x - 12 + 10= +18 - 20

nirvana33 [79]

10x - 12 + 10 = 18 - 20
10x - 2 = -2
10x = 0
x = 0

6 0

3 years ago

What is the formula to find radius of the circle

klio [65]

Answer:

R= diameter ÷ 2

Step-by-step explanation:

the radius is half the diameter.

7 0

3 years ago