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kirill115 [55]
3 years ago
10

See the attachment below for the question.

Mathematics
1 answer:
hram777 [196]3 years ago
8 0

Answer:

5.631

Step-by-step explanation:

3^x-4 = 6

<u>Add log to both sides</u>

<em>A^x = Y</em>

<em>x logA = logY</em>

<em>3^x-4 = 6</em>

<em>(x-4) log 3 = log 6</em>

<em>x - 4 = log 6/log 3</em>

<em>x - 4= 1.631</em>

x = 5.631

Therefore, the value of x is 5.631.

!!

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Given:

Desmond deposits $ 50 monthly.

Yearly he deposits = $50×12 = $ 600

Rate of interest compounded monthly = 4.7%

To find the amount he will receive after 10 years and the rate of change the value of his account after 10 years.

Formula

A = P(1+\frac{r}{(n)(100)} )^{nt}

where,

A be the final amount

P be the principal

r be the rate of interest

t be the time and

n be the number of times the interest is compounded.

Now,

Taking,

P = 600, r = 4.7, n = 12, t = 10 we get,

A = 600(1+\frac{4.7}{(12)(100)}) ^{(12)(10)}

or, A = 600(1.0039)^{120}

or, A = 959.1

Now,

At starting he has $ 600

At the end of 10 years he will be having $ 959.1

So,

The amount of change in his account = $ (959.1-600) = $ 359.1

Therefore the rate of change = (\frac{359.1}{600} )(100) %

= 59.85%

Hence,

a) His account will contain $ 959.1 after 10 years.

b) The rate of change in his account is 59.85% after 10 years.

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3 years ago
What is a real world word problem for 57.5=p(250)
sladkih [1.3K]
If p(x) is a function, then a real-world example might be

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3 years ago
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3 years ago
Tia is making lemonade for a baseball tournament. The recipe calls for 2/3 cup of strawberries for each gallon of lemonade. She
antoniya [11.8K]

Given:

The recipe calls for \dfrac{2}{3} cup of strawberries for each gallon of lemonade.

Tia has 6 cups of strawberries.

To find:

The number of gallons of lemonade she can make.

Solution:

We have,

\dfrac{2}{3} cup of strawberries for = 1 gallon of lemonade

1 cup of strawberries for = \dfrac{1}{\frac{2}{3}} gallons of lemonade

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                                       = \dfrac{3}{2} gallons of lemonade

6 cup of strawberries for = 6\times \dfrac{3}{2} gallons of lemonade

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Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.

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