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anzhelika [568]
3 years ago
15

On the 1st of January 2014, Carol invested some money in a bank account. The account pays 2.5% compound interest per year. On th

e 1st of January 2015, Carol withdrew £1000 from the account. On the 1st of January 2016, she had £23 517.60 in the account. Work out how much Carol originally invested in the account?
Mathematics
1 answer:
cluponka [151]3 years ago
5 0
She started with x.
After 1 year, she had 1.025x.
She withdrew <span>£1000, so now she has 1.025x - 1000.
Then it earned interest for 1 year and ended up as </span>1.025(1.025x - 1000).
The actual amount of money was £23 517.60.
Therefore,

<span>1.025(1.025x - 1000) = 23517.60

1.025x - 1000 = 22 944

1.025x = 23 944

x = 23 360

Her original deposit was </span><span>£23 360</span>
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What’s the error and how can I correct it number 24.
Aloiza [94]

The error is that 9 shouldnt be written as nine it should be written as 3x3 or 3^2. So the answer should be 2^3 x 3^2 because 9 can be divided into even more prime factors of 72.

4 0
3 years ago
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The sum of 8 times a number and 7 equals 9!
Vladimir [108]

Answer:

0.25*8+7=9

Step-by-step explanation:

8x+7=9

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0.25=x

5 0
3 years ago
Can someone help me out here? +brainliest
natali 33 [55]

Answer:

  A) 40

  B) length = 4.275 km; not quite true. See below for explanation.

Step-by-step explanation:

A) Your calculator can tell you the ratio ...

  (national pennies)/(local pennies) = (8×10⁶)/(2×10⁵)

  = (8/2)×10⁶⁻⁵ = 4×10¹ = 40

The national drive collected 40 times as many pennies as the Valley Stream Central goal.

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B) Multiplying the number of pennies by the diameter of each will tell the length of the line of pennies. That length can be compared to the 5 km distance to determine if the reporter's statement is true. (It is <em>not</em> true.)

  length of string = (length of penny) × (number of pennies)

  = (19×10⁻⁶ km) × (2.25×10⁵) = 42.75×10⁻¹ km = 4.275 km

The length of the pennies laid side-to-side is less than 5.0 km. The reporter's statement is not true.

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All scientific and graphing calculators and many 4-function calculators will let you enter numbers in scientific notation.

3 0
3 years ago
A tennis ball machine can launch 60 tennis balls in 12 minutes.
Leokris [45]

It's 300 because you divide 60 by 12 which gives you 5, then multiply 60 and 5.

8 0
3 years ago
Item 18 you and your friend are selling tickets to a charity event. you sell 7 adult tickets and 16 student tickets for $120. yo
quester [9]

Answer:

  $4

Step-by-step explanation:

The two purchases can be written in terms of the cost of an adult ticket (a) and the cost of a student ticket (s):

  7a +16s = 120 . . . . . . . . price for the first purchase

  13a +9s = 140 . . . . . . . . price for the second purchase

Using Cramer's rule, the value of s can be found as ...

  s = (120·13 -140·7)/(16·13 -9·7) = 580/145 = 4

The cost of a student ticket is $4.

_____

<em>Comment on Cramer's Rule</em>

Cramer's rule is particularly useful for systems that don't have "nice" numbers that would make substitution or elimination easy methods to use. If you locate the numbers in the equation, you can see the X-patterns that are used to compute the numerator and denominator differences.

The value of a is (16·140 -9·120)/(same denominator) = 1160/145 = 8. I wanted to show you these numbers so you could see the numerator X-pattern for the first variable.

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Of course, graphical methods can be quick and easy, too.

8 0
3 years ago
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