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xeze [42]
3 years ago
5

A person invests 9500 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how

long must the person leave the money in the bank until it reaches 12600 dollars?
Mathematics
1 answer:
sweet [91]3 years ago
6 0

Answer:

4.9 years

Step-by-step explanation:

Future value is the sum of amount invested and its compounded interest for a specific period of time and on a specific interest rate.

Investment = Present value = $9,500

Future value = $12,600

To find the numbers of years we will use following formula

Future value = Present value x ( 1 + r )^n

r = interest rate = 5.75%

n = number of periods = ?

Placing values in the formula

$12,600 = $9,500 x ( 1 + 5.75%/4 )^n

$12,600 / $9,500 = 1.014375^n

1.3263 = 1.014375^n

Log 1.3263 = n log 1.014375

n = Log 1.3263 / log 1.014375

n = 19.7856 Quarters

n = 4.9 years

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Each bucket holds 212
serg [7]

Answer:

5088

Step-by-step explanation:

212*24=5088

5 0
3 years ago
The table gives estimates of the world population, in millions, from 1750 to 2000. year population year population 1750 790 1900
Tems11 [23]
The poopulation exponential model is given by

P(t)=P_0e^{kt}

Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.

Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:

970=790e^{50k} \\  \\ \Rightarrow e^{50k}=1.228 \\  \\ \Rightarrow 50k=\ln{1.228}=0.2053 \\  \\ \Rightarrow k=0.0041

Thus, the exponential equation using the 1750 and the 1800 population values is P(t)=790e^{0.0041t}

The population of 1900 using the 1750 and the 1800 population values is given by

P(t)=790e^{0.041\times150} \\  \\ =790e^{0.6158}=790(1.8511) \\  \\ =1,462

The population of 1950 using the 1750 and the 1800 population values is given by

P(t)=790e^{0.041\times200} \\  \\ =790e^{0.821}=790(2.2729) \\  \\ =1,796

From the table, it can be seen that the actual figure is greater than the exponential model values.
7 0
3 years ago
The number is odd.
77julia77 [94]

Answer:

Wow thats pretty hard the only things i could guess was the first one could be 18+ 18=36 and then there 6X6=36. but neither of those are greater than 50. And both of them are less than 75.

Step-by-step explanation:

Is this for a class??

7 0
3 years ago
Can some one help me plzz
zloy xaker [14]

Let me try . . .

When two lines intersect, they form four (4) angles, all at the same point.
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A pair of vertical angles are equal, but this problem isn't even asking you about
that; it's just asking you to find a pair of vertical angles.

Since you and I are not sitting together at the same table, I can't point to
the drawing and point out different angles to you.  You just have to go
through the choices, and find a choice where both angles are formed from
the same two lines.

The first choice (KRE and ERT) is no good, because KR,  RE,  and  RT
are parts of three different lines.

Check out the other 3 choices, and you're sure to find the only one where
both angles are formed by the same two lines.


4 0
3 years ago
Read 2 more answers
Write the algebraic expression to represent the following:<br> 'Twenty more than twice a number .'
likoan [24]

Answer:

2x + 20

Step-by-step explanation:

20 + 2x

7 0
2 years ago
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