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VARVARA [1.3K]
3 years ago
15

Can someone write it on paper so I can copy

Mathematics
1 answer:
Darina [25.2K]3 years ago
8 0

Answer:

453/ 2 = 226.5 rounds to 227

672/ 5 = 134.4 rounds to 134

1,294/ 4 = 323.5 rounds to 326

Step-by-step explanation:

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You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us
Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that    

step 1

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

r=10\%=10/100=0.10\\n=4  

substitute in the formula above

A=P(1+\frac{0.10}{4})^{4t}  

A=P(1.025)^{4t}  

Applying property of exponents

A=P[(1.025)^{4}]^{t}  

A=P(1.1038)^{t}  

step 2

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

r=10\%=10/100=0.10  

substitute in the formula above

A=P(e)^{0.10t}  

Applying property of exponents

A=P[(e)^{0.10}]^{t}  

A=P(1.1052)^{t}  

step 3

Compare the final amount

P(1.1052)^{t} > P(1.1038)^{t}

therefore

Find the difference

P(1.1052)^{t} - P(1.1038)^{t} ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

3 0
3 years ago
A road race is 13 1/2 miles long. There are water stations every 3/4 if a mile including at the finish line. How
Margarita [4]

The number of water stations there are along the 13 1/2 miles long road race according to the task content is; Choice C; 18 water stations.

<h3>What is the number of water stations along the road race?</h3>

It follows from the task content that the number of water stations can be determined as follows;

13 1/2 ÷ 3/4

= 27/2 × 4/3

= 18 water stations.

Read more on fraction division;

brainly.com/question/407943

#SPJ1

7 0
2 years ago
How much time will it take for a bug to travel 5 meters if it is traveling 1 m/s
Sophie [7]

Answer:

5

Step-by-step explanation:

divide the distance by the rate of speed

5/1=5

7 0
3 years ago
Read 2 more answers
Suppose that a customer service center claims that the telephone calls it receives last 112 seconds on average, with a standard
adoni [48]

Answer:

95% Confidence interval:  (111.02,112.98)

Step-by-step explanation:

Average = 112 seconds

Standard Deviation = 9 seconds

n = 324

Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96

112 \pm 1.96(\frac{9}{\sqrt{324}} ) = 112 \pm 0.98 = (111.02,112.98)

5 0
3 years ago
Find the value of X in the diagram
velikii [3]

Answer:

Step-by-step explanation:

no. of sides n=5

sum of interior angles=(n-2)×180=(5-2)×180=3×180=540

72+2x+99+89+3x=540

5x+  260=540

5x=540-260

5x=280

x=56°

8 0
3 years ago
Read 2 more answers
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