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wlad13 [49]
3 years ago
12

A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?

Mathematics
1 answer:
kompoz [17]3 years ago
8 0

Answer:

  5.9 years

Step-by-step explanation:

We believe a better representation of the compound interest formula is ...

  V(t)=P(1+\dfrac{r}{n})^{nt}

We want to find the value of t for P=1 and V(t)=2. We are told n=4, so the formula becomes ...

  2=(1+\dfrac{.12}{4})^{4t}\\\\\log{(2)}=4t\log{(1.03)}\quad\text{take logs}\\\\t=\dfrac{\log{2}}{4\log{1.03}}\approx\boxed{5.9\quad\text{years}}

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What is six times three divided by 2
tia_tia [17]

Answer:

9

Step-by-step explanation:

(6*3)÷2

18÷2

9 answer

8 0
3 years ago
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A ​$300 suit is marked down by ​%20. Find the sale price
avanturin [10]

Answer:

1499

5

(Decimal: 299.8)

Step-by-step explanation: =

300

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=

300

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300

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−1

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1500

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7 0
2 years ago
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Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a
Alina [70]

Given:

30-hour review course average a score of 620 on that exam.

70-hour review course average a score of 749.

To find:

The linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course.

Solution:

Let x be the number of hours of review course and y be the average score on that exam.

30-hour review course average a score of 620 on that exam. So, the linear function passes through the point (30,620).

70-hour review course average a score of 749. So, the linear function passes through the point (70,749).

The linear function passes through the points (30,620) and (70,749). So, the linear equation is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-620=\dfrac{749-620}{70-30}(x-30)

y-620=\dfrac{129}{40}(x-30)

y-620=\dfrac{129}{40}(x)-\dfrac{129}{40}(30)

y-620=\dfrac{129}{40}(x)-\dfrac{387}{4}

Adding 620 on both sides, we get

y=\dfrac{129}{40}x-\dfrac{387}{4}+620

y=\dfrac{129}{40}x+\dfrac{2480-387}{4}

y=\dfrac{129}{40}x+\dfrac{2093}{4}

We need to find the y-value for x=57.

y=\dfrac{129}{40}(57)+\dfrac{2093}{4}

y=183.825+523.25

y=707.075

y\approx 707.1

Therefore, the required linear equation for the given situation is y=\dfrac{129}{40}x+\dfrac{2093}{4} and the average score for persons taking a 57-hour review course is 707.1.

4 0
2 years ago
25 percent of £18<br> What is the answer
dlinn [17]

Answer:

4.5 or 4 1/2

Step-by-step explanation:

8 0
2 years ago
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The length of a bridge is 230 m. The length of each of Robert's paces is 75 cm.
wariber [46]

Answer:

307 paces

Step-by-step explanation:

First, lets convert Robert's pace to metres. (cm > m)

75cm = (75/100)m

= 0.75m

Number of Full Paces = Length of Bridge / 1 Full Pace

=

\frac{230m}{0.75m}  \\  = 306 \frac{2}{3} paces

See , we must have full paces, and in this case we are finding the minimum number of paces, so we will be looking at the lowest possible whole number, which in this case, is 307 paces.

5 0
1 year ago
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