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Ber [7]
3 years ago
11

Susie opens a simple interest checking account. After 6 months, her account grew from $500 to $508.75. What is the interest rate

on her account?
Mathematics
1 answer:
sammy [17]3 years ago
8 0

Answer:

3.5 %

Step-by-step explanation:

508.75 - 500 = 8.75

8.75 = (500) (0.5)

8.75/250 = (250)/250

.035

Move the decimal two places to the right to get 3.5%.

Hope this helps and best of luck!

Feel free to message me if you need more help! :)

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PLS HELP
Anika [276]

The chairs in the auditorium illustrates an arithmetic sequence

  • The recursive rule is:  an = an-1 + 8; a1 = 26
  • The explicit rule is:  an = 18 + 8n
  • There are 74 seats in the 7th row
  • 840 chairs can fit the auditorium

<h3>The recursive rule</h3>

From the question, we have the following sequence:

Seats: 18, 26, 34

Rewrite as:

26 = 18 + 8

34 = 26 + 8

The above means that:

The number of seats on a row is 8 added to the the number of seats on the previous row.

Hence, the recursive rule is:

an = an-1 + 8; a1 = 26

<h3>The explicit rule</h3>

In (a), we have:

a1 = 26 and d = 8

The explicit rule is calculated using:

an = a1 + (n -1) * d

This gives

an = 26 + (n - 1) * 8

Expand

an = 26 - 8 + 8n

Evaluate the difference

an = 18 + 8n

Hence, the explicit rule is:

an = 18 + 8n

<h3>The number of seats in the row 7</h3>

This means that n = 7.

So, we  have:

a7 = 18 + 8 * 7 = 74

Hence, there are 74 seats in the 7th row

<h3>The sigma notation</h3>

We have the maximum number of rows to be 12.

So, the sigma notation would be:

\sum\limits^{12}_{n=1} {18 + 8n}

The total number of seats is:

Sn = n/2(2a + (n -1) * d)

This gives

S12 = 12/2(2 * 26 + (12 -1) * 8)

S12 = 840

Hence, 840 chairs can fit the auditorium

Read more about arithmetic sequence at:

brainly.com/question/6561461

7 0
2 years ago
Which postulate (if any) should be used to show the triangles are congruent?
dezoksy [38]

Answer:

ASA

Step-by-step explanation:

SAS, it must go in order and SAS covers it up, Side, Angle, Side

7 0
2 years ago
Find the ratios for the trig functions below<br><br> sin A =<br><br> cos C =
kondor19780726 [428]

Answer:

Sin A: 35/37

Cos C: 35/37

Step-by-step explanation:

Sin A: 35/37

Cos C: 35/37

Using acronym SohCahToa we know

Sin is Opposite/Hypotenuse

Cos is Adjacent/Hypotenuse

With each problem we mark by the letter given to create adjacent side.

I hope this helps!

5 0
2 years ago
Plz help ASAP 15 points 4. XY is tangent to circle Zat point Y. Xw is tangent to circle Zat point W.
mars1129 [50]

9514 1404 393

Answer:

  A.  4.8 units

Step-by-step explanation:

Segment ZX can divide the figure into two right triangles. Then angle XZY is 136°/2 = 68°. The tangent relation tells you ...

  Tan = Opposite/Adjacent

  tan(68°) = XY/r

  r = 12/tan(68°) ≈ 4.848 ≈ 4.8

The radius of the circle is about 4.8 units.

4 0
3 years ago
Read 2 more answers
BRAINILIEST!!!!!What is the quotient<br>7<br>-7<br>-343<br>343
tatiyna
The quotient for the question is: -343
5 0
3 years ago
Read 2 more answers
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