All categories

4 years ago

Which expression defines the given series for seven terms? 8 + 13 + 18 + . . .

1 answer:

7 0

The given question is 8+13+18+...... which is in arithmetic progression . And for arithmetic series, we have to use the following formula for nth term .

$a_{n} = a + (n-1)d$

Here a =8 , d=5

So we get

$a_{n} = 8+(n-1)5 = 5n +3$

And the required expression for n=7 is

$\sum_{n=1}^{7}(5n+3)$

You might be interested in

Which transformations are needed to change the parent sine function to y = one-fourth sine (4 (x + StartFraction pi Over 6 EndFr

alex41 [277]

Answer:

Transformation needed are;

Vertical compression of 1/4,

horizontal compression to a period of pi/2,

phase shift of pi/6 units to the left.

Step-by-step explanation:

The formula for the general Sine function is given by;

where

if A >1, Vertical stretch and

if 0<A<1, Vertical compression

Period is

Phase shift is C (Positive is to left)

Vertical shift is D.

Given the function:

here, , B = 4 , and D = 0

Therefore, transformation are needed on sine function to get

Vertical compression of

Horizontal stretch to a period =

Phase shift = units to left.

Step-by-step explanation:

5 0

3 years ago

how much would $600 be worth after 10 years, if it were invested at 4% interest compound continuously?

hichkok12 [17]

Use the compound-cont formula A = Pe^(rt):

A = $600*e^(0.04*10) = $600*e^0.4 = $624.49 (ans)

4 0

3 years ago

HELP QUICKLY PLEASE...

Luba_88 [7]

For the first one, I believe I is 1200

6 0

3 years ago

4.5.

Ivan

Given:

The equation of line is

$y=x+3$

To find:

The x-intercept and y-intercept.

Solution:

The equation of line is

$y=x+3$

Putting x=0, we get

$y=0+3$

$y=3$

So, the y-intercept is (0,3).

Putting y=0 in the given equation, we get

$0=x+3$

$-3=x$

So, the y-intercept is (-3,0).

Therefore, the coordinates of the point where the line intersects the y-axis are (0,3). The coordinates of the point where the line intersects the x-axis are (-3,0).

5 0

3 years ago

Express 30 minutes as a percentage of 3 hours 20 minutes

liberstina [14]

Answer:

15%

Step-by-step explanation:

The quantities must be in the same units

Using the conversion

I hour = 60 minutes, then

3 hours 20 minutes = ( 3 × 60) + 20 = 180 + 20 = 200 minutes.

Thus

$\frac{30}{200}$ × 100% = $\frac{30}{2}$ = 15%

7 0

4 years ago