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3 years ago

Determine the final balance from depositing $8,000 compounded quarterly for 6 years at 3% annual

Mathematics

1 answer:

cupoosta [38]3 years ago

3 0

Answer:

$9571.31

Step-by-step explanation:

Quarterly compounded equation: A = P(1 + r/n)^nt

Step 1: Plug in variables

A = 8000(1 + 0.03/4)^10

Step 2: Solve

And you should get 9571.31 as your final answer.

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13 ft 5 ft 5 ft Volume:

steposvetlana [31]

Hi!

So all we would need to do is 13*5*5=325. The volume is 325ft cubed.

Hope this helps!

7 0

2 years ago

9. The ticket at right has a perimeter of 42 cm.

Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

$Perimeter =2\times 11 + 4 \times L$

This gives

$2\times11 + 4 \times L = 42$

$22 + 4 \times L = 42$

Collect like terms

$4 \times L = 42-22$

$4 \times L = 20$

Divide both sides by 4

$L =5cm$

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

$Gold = 4 \times L$

$Gold = 4 \times 5cm$

$Gold = 20cm$

$n = 200$ --- number of tickets

The length of all gold line in the 200 tickets is:

$Length = 200 \times Gold$

$Length = 200 \times 20cm$

$Length = 4000 cm$

$Length = 4000 \times 0.01m$ ---- convert to meters

$Length = 40m$

Given that:

$Bottle = 20m$ --- 1 bottle for 20 m

The number of bottles (n) is:

$n = \frac{Length}{Bottles}$

$n = \frac{40m}{20m}$

$n = 2$

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

4 0

2 years ago

Please help me out and with work included

irina1246 [14]

Hope that makes sense

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2 years ago

Please Help! Find the area of the shaded region.

hodyreva [135]

Answer: 9mm

Step-by-step explanation:

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2 years ago

A metal rod is placed in a rectangular box as shown in the figure. How long is the rod? Round your answer to the nearest tenth o

Alexandra [31]

Fist we find the legnth of the diagonal
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
c=5

now the other diagonal
11^2+5^2=c^2
121+25=c^2
146=c^2
sqrt both sides12.083
closest is B

7 0

3 years ago