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Katena32
3 months ago
15

Sandy put $1000 in a savings account which pays 3% interest per year. After four years how much money will

Mathematics
2 answers:
PIT_PIT [12.4K]3 months ago
3 0

After four years, Sandy’s account will show $1464.1

Step-by-step explanation:

Sandy deposited $1000 in a savings account with a 3% interest rate yearly. We now need to determine the total balance after four years without any additional deposits or withdrawals. Let’s calculate:

For the amount after year 1:

⇒ 1000 + \frac{1000(10)}{100} = 1000+100=1100

For the amount after year 2:

⇒ 1100 + \frac{1100(10)}{100} = 1100+110=1210

For the amount after year 3:

⇒ 1210 + \frac{1210(10)}{100} = 1210+121=1331

For the amount after year 4:

⇒ 1331+ \frac{1331(10)}{100} = 1331+133.1=1464.1

Therefore, after 4 years, Sandy’s account will have $1464.1

Inessa [12.5K]3 months ago
3 0

Step-by-step explanation:

Let 'P' represent the principal amount

'R' will stand for the interest rate

'T' indicates the time period

P = $1000

R = 3%

T = 4 years

We can compute the simple interest using,

Interest = (P x R x T) / 100

= (1000 x 3 x 4) / 100

= 12000 / 100

= $120

Thus, the simple interest over 4 years totals $120.

Total amount = P + Interest

= 1000 + 120

= $1120

Consequently, the account will have $1120 after 4 years.

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Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
PIT_PIT [12445]

Answer:

A scale transformation that contracts and is subsequently followed by a reflection.

Step-by-step explanation:

A contraction with a scale factor less than 1, followed by a reflection, constitutes the combination of similarity transformations that maps polygon ABCD to polygon A'B'C'D.

4 0
3 months ago
Read 2 more answers
Bridget ungrouped 5,000 as shown use your understanding of place value to explain how the ungrouped number is equal to 5000
Inessa [12570]
I appreciate you sharing your question. A potential solution to the problem is that 10 ones can be converted into 1 ten, resulting in the total of the ungrouped values of 4,000 + 900 + 10, which sums up to 5,000. I trust my explanation will be beneficial.
6 0
3 months ago
A grocery store receives deliveries of corn from two farms, one in Iowa and the other in Ohio. Both farms produce ears of corn w
Zina [12379]

Answer:

The number of standard deviations above the mean is z_o   = 1.4607

Step-by-step explanation:

The question indicates that:

   The average weight of the corn ears from each farm is \mu=1.26

   The standard deviation for the corn ears from Iowa is \sigma_1

   The standard deviation for the corn ears from Ohio is

     \sigma_2= 0.01 + \sigma_1

     

  A randomly chosen ear of corn from Iowa weighs  x =  1.39 pounds

  The standardized score is  z = 1.645

  The weight of a randomly chosen ear of corn from Ohio measures  x_1 =  1.39\ pound

In general, the standardized score of corn weight from Iowa can be mathematically defined as:

        z  =  \frac{ 1.39 -  1.26 }{\sigma_1 }

=>     1.645 =  \frac{ 1.39 -  1.26 }{\sigma_1 }  

=>      \sigma_1 =  \frac{ 1.39 -  1.26 }{ 1.64 5}  

=>      \sigma_1  =   0.0790  

Conversely, the standardized score of corn weight from Ohio is expressed as:

         z_o  =  \frac{ 1.39 -  1.26 }{\sigma_2 }

=>     z_o=  \frac{ 1.39 -  1.26 }{0.01 + \sigma_1 }  

=>      z_o =  \frac{ 1.39 -  1.26 }{  0.089}  

=>      z_o   = 1.4607

A positive value indicates this quantity represents the number of standard deviations above the mean.

4 0
3 months ago
steven has 9 different shirts 5 different hats 4 different scarves. Steven thinks that if he picks just two of the three items o
Inessa [12570]

Answer:

Steven is mistaken.

Step-by-step explanation:

Steven has

  • 9 unique shirts
  • 5 unique hats
  • 4 unique scarves.

He selects only two out of the three types of clothing. The combinations can be calculated as

  • 9\cdot 5=45 options to select a shirt and a hat;
  • 5\cdot 4=20 options to select a hat and a scarf;
  • 9\cdot 4=36 options to select a shirt and a scarf.

In total, there are

45+20+36=101

different methods to choose just two out of the three clothing items.

As a result, 101 Steven is not correct.

6 0
3 months ago
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