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irina1246 [14]
3 years ago
10

8) a) How much money will there be in an account at the end of 6 year if $2000 is deposited at compounded quarterly? Write the f

ormula and show all work.​
Mathematics
1 answer:
Sloan [31]3 years ago
4 0

Answer:

$2539.47

10.18722679 (make sure you round this)

Step-by-step explanation:

a.)

Equation for compound interest:

AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\

which rounds to

2539.47

b.)

using the same equation we can write

3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t

not sure how to round this, so I'll leave that part up to you

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Need Help ASAP!!
Aleksandr-060686 [28]

Answer:

$1480.24

Step-by-step explanation:

This will be solved by the formula:

FV=I(1+r)^t

Where

FV is the future value (what we are looking for)

I is the initial amount (which is $1000)

r is the rate of interest per period (8% is annual interest, but the period is SEMI-ANNUAL, that's 6 months, half of yearly. So r would be half of 8%, which is 4% or r = 0.04)

t is the times compounding occurs in the whole time (The whole time period is 5 years, but compounding occurs semi-annually, so 5*2 = 10 times. Thus, t = 10)

<em>plugging the info into the formula we will get our answer.</em>

<em>FV=I(1+r)^t\\FV=1000(1+0.04)^{10}\\FV=1000(1.04)^{10}\\FV=1480.24</em>

4 0
4 years ago
? A mug can hold 13.46 oz of coffee without overflowing. The radius of the mug is 3 cm. Given that 1 cm3 equals 0.034 oz, what i
Elan Coil [88]

Answer:

14 cm

Step-by-step explanation:

Given:

A mug can hold 13.46 oz of coffee.

The radius of the mug is 3 cm.

Given that 1 cm^{3} equals 0.034 oz.

Question asked:

What is the height of the mug to the nearest centimeter ?

Solution:

Given that 1 cm^{3} equals 0.034 oz.

By unitary method:

0.034 oz = 1 cm^{3}

1 oz = \frac{1}{0.034}

13.46 oz = \frac{1}{0.034}\times13.46 =395.88 \ cm^{3}

A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88 cm^{3}. Now we can find the height of the mug by using volume of cylinder formula:

volume of cylinder = \pi r^{2} h

                   395.88=\frac{22}{7} \times3\times3\times \ h\\395.88=\frac{198 \ h}{7}

By cross multiplication:

                 395.88\times 7 =198\ h\\2771.16= 198\ h

By dividing both side by 198

h = 13.99 cm

Therefore,  height of the mug to the nearest centimeter is 14 cm.

                   

6 0
4 years ago
Read 2 more answers
A hiker cycles 9 miles in 2/3 of an hour. Make a chart and fill it in to show how far he will bike if he maintains the same pace
Arada [10]

Answer:

2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles

Step-by-step explanation:

1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)

2.) 2 hours: 13.5 * 2 = 27 miles

3.) 3 hours: 13.5 * 3 = 40.5 miles

4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles

6 0
3 years ago
Read 2 more answers
Quick math help? Thanks!
denpristay [2]
For
|a|>15
assume
a>15
a<-15

so
x+6>15
minus 6
x>9

x+6<-15
minu 6
x<-21

B is answer
4 0
3 years ago
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If you when your mom went to the park and there were two dogs one dog went to the owner how many dogs are at the dog park
melomori [17]

Answer: 2 Dogs

Step-by-step explanation: The other dog never left the park

3 0
4 years ago
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