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3 years ago

Please help need answer

Mathematics

2 answers:

inessss [21]3 years ago

4 0

15/40 is a terminating decimal

ollegr [7]3 years ago

4 0

Answer:

See below

Step-by-step explanation:

If the denominator of a fraction has only factors of 2 and 5, the decimal expression terminates.

If the denominator contains a factor other than 2 or 5, then the decimal expression repeats.

56/72 is a repeating decimal

72 contains a factor of 9.

12/30 is a terminating decimal.

30 contains factors of 2 and 5

15/40 is a terminating decimal.

40 contains factors of 2 and 5

12/37 is a repeating decimal.

37 does not contain factors of 2 or 5.

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A gold coin appreciated in value from $200.00 to $475.00 in 6 years. Find the yearly rate of appreciation. Show or explain all w

Travka [436]

Answer:

16%

Step-by-step explanation:

To solve this we are using the standard growth equation:

$y=a(1+b)^x$

Were

$y$ is the final value after $x$ years

$a$ is the initial value

$b$ is the growth factor (yearly rate of appreciation in our case) in decimal form

$x$ is the time in years

We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so $y=475$ , $a=200$ , and $x=6$ .

Let's replace the values in our equation and solve for $b$ :

$y=a(1+b)^x$

$475=200(1+b)^6$

$\frac{475}{200} =(1+b)^6$

$2.375=(1+b)^6$

$\sqrt[6]{2.375} =\sqrt[6]{(1+b)^6}$

$1+b=\sqrt[6]{2.375}$

$b=\sqrt[6]{2.375}-1$

$b=0.155$

which rounds to

$b=0.16$

Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:

0.16*100% = 16%

We can conclude that the yearly appreciation rate of our gold coin is approximately 16%

3 0

3 years ago

Paddy and Anna each invest $2000 for 5 years.

Serga [27]

Answer: r= 1.22

Step-by-step explanation:

Formula for amount with simple interest = $P(1+rt)$

, where

P= principal value , r= rate of interest , t = time.

Given: P= $2000, t= 5 years, r= 1.25% = 0.0125

$A=2000(1+0.0125\times5)\\\\=2000(1.0625)=2125$

Formula to compute compound amount : $P(1+r)^t$

$=2000(1+r)^5$

When both have same worth then

$2000(1+r)^5=2125\\\\\\ (1+r)^5=\dfrac{2125}{2000}\\\\\\ (1+r)^5=1.0625$

taking log on both sides , we get

$5\ln (1+r)=\ln 1.0625\\\\\\ 5\ln (1+r)=0.0606246\\\\\\ \ln (1+r)=0.012125\\\\\\ 1+r=e^{0.005266}\\\\\\ 1+r=1.0122\\\\ r=0.0122\\\\ \\ r=1.22\%$

Hence, Value of r= 1.22

6 0

3 years ago

What is the difference between 23 and 0.33

pshichka [43]

Answer:

22.67

Step-by-step explanation:

take 0.33 away from 23 to find the answer

4 0

3 years ago

Read 2 more answers

A library wants to buy a new computer that cost $989.99. So far, the library has collected $311. 25 in donations. About how much

mel-nik [20]

Answer:

$678.74

Step-by-step explanation:

989.99-311.25 = 678.74

hoped this helped

5 0

3 years ago

2x – 3y = 18 Solve for y.

Nataly [62]

Answer:

y= -6+2/3x

Step-by-step explanation:

2x-3y=18

Minus the 2x from both sides

-3y=18-2x

Then divide both sides by -1

-3y÷-1=18÷-1 -2x÷-1

Lastly divide both sides by 3

3y÷3= -18÷3+2x÷3

7 0

3 years ago