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2 years ago

Write down the first five terms of the geometric progression with

Mathematics

1 answer:

Vilka [71]2 years ago

7 0

Step-by-step explanation:

s1 = 3

s2 = 3×2 = 6

s3 = 6×2 = 12

s4 = 12×2 = 24

s5 = 24×2 = 48

sn = sn-1 × 2 = s1 × 2^(n-1)

s17 = 3 × 2¹⁶ = 3 × 65,536 = 196,608

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An insurance agent receives 16% commission on every premium paid. how much commission is paid on a policy with a premium of $497

a_sh-v [17]

Answer:

$79.63

Step-by-step explanation:

You can figure this by estimating. 16% is a little less than 20%, which is 1/5. $497.69 is almost $500. So, 1/5 of that is almost $100, and a little less than that is about $80. The closest answer choice is $79.63.

If you want to figure it exactly, you can do the multiplication ...

16% of $497.69 = 0.16 × $497.69 = $79.6304 ≈ $79.63

5 0

2 years ago

Please help with this one.

quester [9]

Answer:

x = 7

Step-by-step explanation:

$\frac{3}{7} x + 5 = 8$

$\frac{3}{7} x = 8-5$

$\frac{3}{7} x = 3$

$x = 3 / \frac{3}{7}$

$x = 3 * \frac{7}{3}$ cancel 3

Then

$x = 7$

4 0

3 years ago

Which statements are true regarding the prism? Check all that apply

denis-greek [22]

What are the choices

8 0

3 years ago

Kristen is 64 inches tall, and she stands 12 feet away from a streetlight. If she casts an 82-inch-long shadow, how tall is the

o-na [289]

Answer:

176.39 inches or

14.70 feet

Step-by-step explanation:

Consider the right triangle made by Kristen, ground and shadow.

This triangle has one leg as 64 inches.

Next consider the right triangle formed by street light, ground upto shadow tip.

The two triangles have common angle of elevation and also another angle as 90 degrees.

Hence the two triangles would be similar

Also if A is the angle made by hypotenuse of both triangles with the ground we have

$tanx=\frac{64}{82}$

This value also equals by bigger triangle as

$tanx=\frac{h}{82+12(12)}=\frac{h}{226}$

From these two we get

h = height of street light = $\frac{226(64)}{82} =176.39$

6 0

2 years ago

4x - 1<br> 2.<br> = x + 7<br> Can someone help please?

tatiyna

Answer:

6 $\frac{1}{3}$

Step-by-step explanation:

4x-12 = x+7

4x-12+12 = x+7+12

4x = x+19

4x-x = x+19-x

3x=19

x = 6 $\frac{1}{3}$

And if we substitute the value of x into the equation 4x-12 = x+7,

we will get 13 $\frac{1}{3}$ = 13 $\frac{1}{3}$ in the end.

Hope this helps :)

3 0

2 years ago

Read 2 more answers