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vredina [299]
10 months ago
6

John looked at his bank account and noticed that he had $2,029.90 in his account. All that he could remember is that he created

the account 7 years ago and that he had a 6% annual interest rate. How much money did John put into the account?
Mathematics
1 answer:
Over [174]10 months ago
6 0

We will have that for the previous year, he had in the account:

m_{y6}=2029.90-\frac{2029.90\cdot6}{100}\Rightarrow m_{y6}=1908.106

For the year previous to that one, he had:

m_{y5}=1908.106-\frac{1908.106\cdot6}{100}\Rightarrow m_{y5}=1793.61964

For the previous year to that, he had:

m_{y4}=1793.61964-\frac{1793.61964\cdot6}{100}\Rightarrow m_{y4}=1686.002462

For the year previous to that one, he had:

m_{y3}=1686.002462-\frac{1686.002462\cdot6}{100}\Rightarrow m_{y3}=1584.842314

For the second year that the money was in the account, there was:

m_{y2}=1584.842314-\frac{1584.842314\cdot6}{100}\Rightarrow m_{y2}=1489.751775

And the orinial ammount of money that was in the account was:

m_{y1}=1489.751775-\frac{1489.751775\cdot6}{100}\Rightarrow m_{y1}=1400.366669

From this, we know that Jhon had originally $1400.37 in the bank account.

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Arrange the digits 4, 6, 9, 2, 3 in the dividend and the digits 2, 5,2 in the divisor to give the greatest possible quotient.
Leviafan [203]

To get the greatest possible quotient, you need the biggest possible
dividend and the smallest possible divisor.

       96,432 divided by 225  =   428.5666...  <== greatest possible

       23,469 divided by 522  =     44.9597...  <== smallest possible

7 0
3 years ago
X-2y=18 2x+y=6 parallel perpendicular or neither
sergey [27]
<h3>Therefore they are perpendicular.</h3>

Step-by-step explanation:

A equation of line is

y =mx +c

Here the slope of the line is m.

Given equations are

x - 2y = 18

⇔-2y = -x +18

\Leftrightarrow y =\frac{1}{2} x -9............(1)

and 2x + y = 6

⇔y = -2x +6 ............(2)

Therefore the slope of equation (1) is(m_1)= \frac{1}{2}

Therefore the slope of equation (2) is(m_2)= -2

If two lines are perpendicular, when we multiply their slope we get -1.

therefore,

m_1. m_2 =\frac{1}{2}. (-2) = -1

Therefore they are perpendicular.

4 0
3 years ago
Determine if true:<br> 8x2-63=-40
prohojiy [21]

Answer:

False

Step-by-step explanation:

8x2=16

16-63=-47

-47=-40

The numbers do not match.

Hence, the equation is false.

3 0
2 years ago
Read 2 more answers
If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?
Colt1911 [192]

Answer:

f(x)=x-6

Step-by-step explanation:

Given : Parent function : f(x)=x

To Find : If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?

Solution:

Parent function : f(x)=x

Shift the given function down by 6 units.

Rule : The graph f(x) shifts down by b units

So, f(x)→f(x)-b

So, Shift the given function down by 6 units.

So, f(x)→f(x)-6

f(x)=x

So, x→x-6

So, the new function is f(x)=x-6

6 0
3 years ago
A chef uses 3 3/4 pounds of semolina flour and 1 5/8 pound whole wheat flour for each batch of pasta she makes.one week she uses
Maurinko [17]
It is to be noted that for this item, we more concern of the pounds of flour. The number of batches is calculated by dividing the total mass of flour used by the amount per batch. That is,
                                              n = 86 lbs / (1 + 5/8 lbs/batch)
                                              n = 52.92 batch
Thus, the chef makes approximately 53 batches of pasta. 
4 0
3 years ago
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