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3 years ago

Suppose Kaitlin places $ 4000 in an account that pays 18% interest compounded each year.

Mathematics

1 answer:

Ratling [72]3 years ago

7 0

Answer:

a) $4720

b) $5569.60

Step-by-step explanation:

Initial amount = $4000

Interest rate = 18% PA compounded

<u>Amount after 1 year</u>

$4000*1.18 = $4720

<u>Amount after 2 years</u>

$4720*1.18 = $5569.60

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A 4-foot tall child walks directly away from a 12-foot tall lamppost at 2 mph. How quickly is the length of her shadow increasin

xz_007 [3.2K]

Answer:

The length of the shadow is increasing with the rate of 1.5 feet per sec

Step-by-step explanation:

Let AB and CD represents the height of the lamppost and child respectively ( shown below )

Also, let E be a point represents the position of child.

In triangles ABE and CDE,

$\angle ABE\cong \angle CDE$ ( right angles )

$\angle AEB\cong \angle CED$ ( common angles )

By AA similarity postulate,

$\triangle ABE\sim \triangle CDE$

∵ Corresponding sides of similar triangles are in same proportion,

$\implies \frac{AB}{CD}=\frac{BE}{DE}$

We have, AB = 12 ft, CD = 4 ft, BE = BD + DE = 6 + DE,

$\implies \frac{12}{4}=\frac{6+DE}{DE}$

$12DE = 24 + 4DE$

$8DE = 24$

$DE=3$

Now, the speed of walking = 2 mph = $\frac{2\times 5280}{3600}\approx 2.933\text{ ft per sec}$

Note: 1 mile = 5280 ft, 1 hour = 3600 sec

Thus, the time taken by child to reach at E

$= \frac{\text{Walked distance}}{\text{Walking speed}}$

$=\frac{6}{2.933}$

= 2.045 hours

Hence, the change rate in the length of shadow

$= \frac{\text{Length of shadow}}{\text{Time taken}}$

$=\frac{3}{2.045}$

= 1.5 ft per sec.

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2 years ago

Explain the difference between finding the volume of a cylinder and the volume of a cone.(please help me)

Natali5045456 [20]

Answer:

The difference is that the height of the cone is divided by 3

Step-by-step explanation:

formular of cylinder

$V=\pi r^2h$

Formular of a cone

$V=\pi r^2\frac{h}{3}$

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3 years ago

Barry arrives at the hotel each morning at 7:00am. Today he will stay late to oversee a party in the ballroom. He will leave the

Dmitry_Shevchenko [17]

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3 years ago

Hi, have a good day!

Zinaida [17]

Thank.........you......so.........much.....

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2 years ago

Read 2 more answers

Samantha has $300 for guitar lessons to learn her favorite song mr. Jones charges $800 per lesson and requires three lessons to

Ne4ueva [31]

Mr.Jones charges $800 per lesson and requires 3 lessons

That means mr Jones will charge Samantha 800x3 = $2400 in total.

Mr. Police charges $62 per lesson and requires 4 lessons,

62x4 = $248 in total.

Since mr. Police charges less than mr.Jones, it would be a better deal for Samantha.

IN CASE YOU WROTE THE QUESTION WRONG AND MR JONES CHARGES $80 PER LESSON

In that case it would be 80x3 = $240 in total

mr jones would charge less now and it would be better deal for Samantha.

5 0

2 years ago