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AnnyKZ [126]
2 years ago
10

Six years ago, Kelsey opened a savings account that earns 1.2% simple interest every year. She started the account with $600 and

has not touched the account since. How much money is in the account now? Show Work!
(A) $43.20
(B) $643.20
(C) $4,320.00
(D) $4,920.00
Mathematics
2 answers:
madam [21]2 years ago
6 0

The final amount left in her bank account=$643.2  

Answer: Option(b)

Given:

Principle P=$600

Rate r= 1.2%

Time t= 6 years

To find:

Amount left in her account

<u>Step by Step  Explanation: </u>

Solution;

Formula used for calculating Amount is given as

\text {Amount}=P+\text { simple Interest }(S I)

Where P=Principal Amount invested

SI=Simple Interest

And also formula used for calculating Simple Interest is

\text { Simple Interest }=\frac{P N R}{100}

Where P=Principal Amount

N=No of years

R=Rate of interest

Substitute this equation in the above main equation we get

\text { Amount }=P+\text { simple Interest }(S I)

\text { Amount }=P+\left[\frac{P N R}{100}\right]

=600+\left[\frac{600 \times 1.2 \times 6}{100}\right]

= 600 + 43.2 = 643.20

Result:

Thus the final amount left in her bank account at the end of 6 years is $643.2

densk [106]2 years ago
5 0

Answer:

600 times .012=7.20

7.20 times 6= 43.20

43.20+ 600= 643.20

the correct answer is b- $643.20

You might be interested in
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 46°, b
horrorfan [7]
We will use the law of cosines
<span>side a² = b² + c² -2bc • cos(A)
</span><span>side a² = 729 + 196 -2*27*14 * cos (46)
</span><span>side a² = 925 -(756 * 0.69466)
</span>side a² = <span><span>399.83704 </span>
side a = </span><span><span><span>19.995925585 </span> </span> </span>
We could round that to 20
a = 20 b = 27 c =14

We can calculate a triangle's area when we know all 3 sides by using Heron's Formula
<span>area = square root (s • (s - a) • (s - b) • (s - c))

where s is the semi-perimeter </span>
semi-perimeter<span> = (side a + side b + side c) ÷ 2</span>
s = (20 + 27 + 14) / 2
s = 30.5
Now we use Heron's Formula
area = square root (s • (s - a) • (s - b) • (s - c))
area = square root (30.5 • (<span>30.5 - 20) • (</span><span>30.5 - 27) • (</span><span>30.5 - 14))</span>
area = square root (30.5 • (10.5) • (3.5) • (<span>16.5))</span>
<span>area = square root (18494.4375)
</span> <span><span><span>area = 135.9942553934  </span> </span> </span>which rounds to
136 square feet
Source:
http://www.1728.org/triang.htm

 




7 0
1 year ago
How many terms in the arithmetic sequence(2,4,6,8....) will give sum of 600
andriy [413]

Answer:

  24 terms

Step-by-step explanation:

The sum of an arithmetic sequence is the average of the first and last terms, multiplied by the number of terms. The last term is given by ...

  an = a1 + (n-1)d

We have a sequence with first term a1 = 2 and common difference d = 2. So the last term is ...

  an = 2+ 2(n -1) = 2n

Then the average of first and last terms times the number of terms is ...

  Sn = 600 = n(2 + 2n)/2 = n(n+1) . . . . . . close to n²

We can solve the quadratic in n, or we can estimate the value of n as the integer just below the square root of 600.

  √600 ≈ 24.5

so we believe n = 24.

_____

<em>Check</em>

  S24 = 24·25 = 600 . . . . . . as required.

8 0
1 year ago
Jackson has ten dollar bills and one dollar bills in his pocket. The number of ten dollar bills is five more than six times the
Katyanochek1 [597]

Answer:

Let t be the number of ten dollar bills.

o×6+5=t

If you need it without t, then it's:

o×6+5

Step-by-step explanation:

Let t be the number of ten dollar bills.

o×6+5=t

We get this because the question said that there were more ten-dollar bills than 6 times the number of one-dollar bills.

5 0
1 year ago
The ratio of teachers needs to be 1:30. If there were 120 students, how many teachers would be needed?
mezya [45]

Answer:

4:120

Step-by-step explanation:

for 120 student they would be 4 teacher needed per 30 student

4:120

4 0
2 years ago
Fatima is saving up to buy a $300 bike. She saves $25 each week from her babysitting money. Which linear equation represents the
anzhelika [568]

300%25x  because 25 per  each job which is xxx and 300 is how much she needs so total amount divided by amount needed

7 0
2 years ago
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