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snow_lady [41]
3 years ago
13

Present Value Hoew much shuold be deposited in an account paying 7.2% interest compounded monthly in order to have a balance of

$8000 after 3 years?
Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:$6451.6 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.2%. So

r = 7.2/100 = 0.072

It was compounded for 3 years. So

t = 3

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. A is given as $8000 Therefore,

8000 = P (1+0.072/12)^12×3

8000 = P(1+0.006)^36

8000 = P(1.006)^36

P = 8000/1.24

P = $6451.6

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That would be 0.14 after rounding up from 0.1379
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8) A total of 1456 people attended a high school football game. The cost was $5 for adults and $2.50 for students. If the
MAXImum [283]

Answer:

the answer is 762 adults and 694 students.

Step-by-step explanation:

762 x 5.00 = 3810

694 x 2.50 = 1735

now add 3810 + 1735 = 5545

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3 years ago
Solve the equation, keeping the value for x as an improper fraction. 23x = − 12x + 5 1.Isolate the variable by adding 12x to bot
kogti [31]

Answer:

x=\frac{30}{7}

Step-by-step explanation:

We have been given an equation \frac{2}{3}x=-\frac{1}{2}x+5. We are asked to solve our given equation.

First of all, we will add \frac{1}{2}x on both sides of equation to separate x variable on one side of equation.

\frac{2}{3}x+\frac{1}{2}x=-\frac{1}{2}x+\frac{1}{2}x+5

\frac{2}{3}x+\frac{1}{2}x=5

Now, we will make a common denominator.

\frac{2*2}{3*2}x+\frac{1*3}{2*3}x=5

\frac{4}{6}x+\frac{3}{6}x=5

Add numerators:

\frac{4+3}{6}x=5

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Upon multiply both sides of our equation by \frac{6}{7}, we will get:

\frac{6}{7}*\frac{7}{6}x=5*\frac{6}{7}

x=\frac{5*6}{7}

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Therefore, the solution for our given equation is x=\frac{30}{7}.

5 0
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Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high temperature for the day is 10
WINSTONCH [101]

Answer:

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Step-by-step explanation:

Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:

Amplitude

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A = 15\º

Mean temperature

\bar T = \frac{70\º+100\º}{2}

\bar T = 85\º

Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:

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Where:

\bar T - Mean temperature, measured in degrees.

A - Amplitude, measured in degrees.

\tau - Daily period, measured in hours.

t - Time, measured in hours. (where t = 0 corresponds with 5 AM).

If \bar T = 85\º, A = 15\º and \tau = 24\,h, the resulting function for the outside temperature is:

T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right]

3 0
2 years ago
a tool rental cost $0.65 per minute. if the total bill for the rental was $18.20 then for how many minutes was the tool used?
REY [17]
Wouldn't you do 18.20 divide that by .65 & get 28. So the tool was used for 28 minutes
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