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Sophie [7]
3 years ago
14

Look at the expression you entered in the table in part C. Write them backward as a sum, starting with the amount from month 12.

You should recognize a geometric series. Use the formula for the sum of a geometric series to determine the amount of money is Esther’s savings account at the end of 1 year after depositing $50 each month. How much money did she earn from interest.

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0

Answer:

Per month Additions Interest Balance

Start $0.00   $0.00

1 $50.00 $0.15 $50.15

2 $50.00 $0.30 $100.45

3 $50.00 $0.45 $150.90

4 $50.00 $0.60 $201.50

5 $50.00 $0.75 $252.25

6 $50.00 $0.91 $303.16

7 $50.00 $1.06 $354.22

8 $50.00 $1.21 $405.43

9 $50.00 $1.37 $456.80

10 $50.00 $1.52 $508.32

11 $50.00 $1.67 $559.99

12 $50.00 $1.83 $611.82

atroni [7]3 years ago
4 0

Answer: =

Write the expressions backward from month 12 to month 1 to get this series:

50 + 50(1.003) + 50(1.003)2 + ... + 50(1.003)11

Convert the series to sigma notation, and find the sum of the 12 terms in the series:

11

S12 50(1.003)

ko

50(1 - 1.00312)

1 - 1.003

610

Esther will have about $610 in her savings account after a year. She would have deposited $600 over 12 months, so she

will have earned $10 in interest.

Step-by-step explanation:

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Sergeu [11.5K]
Find 60% of 65 then add it to 65:

0.6 * 65 = 39

Now add it to 65:

39 + 65 = 104

So she's selling camera's for $104 each.
5 0
2 years ago
Read 2 more answers
Given: BCDF is a parallelogram; AB = BF<br> Prove: angleA=angleE
Katen [24]

Answer:

Step-by-step explanation:

ABCD is a parallelogram.  AB is produced to P, such that AB = BP and PQ is drawn parallel to BC to meet AC produced at Q. Given AB = 8 cm, AD = 5 cm, AC = 10 cm.

→ BC ║ QP →→Given

In Δ ABC and ΔAPQ

∠ABC=∠APQ→→[BC ║ QP , BP is a transversal, so corresponding angles are equal]

∠BAC=∠PAQ→→Reflex angle

Δ ABC ~ ΔAPQ→→(AA similarity criterion]

When triangles are similar, their corresponding angles are equal.

AC=CQ=10 cm, shows that point C is mid point of AQ.

<u>help me by marking as brainliest....</u>

7 0
2 years ago
Convert 230 Fahrenheit to celsius ​
Ber [7]

Answer:

110

Step-by-step explanation:

We can use the ratio from Fahrenheit to Celcius

32:0

Now just divide

230 ÷ 32

110

And That is your Celsius!

Hope this helps!

Have a nice day!

If you find my answer helpful

<em>Pls consider marking my answer as </em><em>Brainliest</em><em>! It would mean a lot!</em>

8 0
3 years ago
Explain why an elevation less than -5 feet represents a distance from sea level greater than 5 feet. ​
Morgarella [4.7K]

The elevation represents a distance from the sea level greater than 5 feet,

because the original description specifies a distance greater than 5 feet

below sea level.

Reasons:

The elevation given as a distance is the height or distance above sea level.

In the above description, elevation is a vector, given that it has both

magnitude (distance) and direction (above sea level).

Distance is a scalar quantity, that has only a magnitude that specifies the

space covered during motion.

An elevation of less than -5 feet indicates that distance of the location

above sea level is less than -5 feet, which is the same as; the distance of

the location  below sea level is greater than 5 feet.

  • Less than -5 feet above sea level = Greater than 5 feet below sea level

Therefore;

  • An elevation of less than -5 feet represents a distance from (below) sea level greater than 5 feet

Learn more about vector and scalar quantities here:

brainly.com/question/11968679

6 0
2 years ago
The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t
Shalnov [3]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

x - 10

The second number in terms of x:

4x

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

19 - 10 = 9

4 \times 19 = 76

The first number is 9, second number 19 and the third number 76.

6 0
3 years ago
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