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Ilya [14]
3 years ago
14

Pam open a bank account with $200 deposit that account had a simple interest rate of 4.6% her most recent bank statement shows a

balance of $328.80 if she made no deposits or withdrawals how long ago was the account opened ?
Mathematics
1 answer:
Marina86 [1]3 years ago
5 0

Answer:

t=14\ years

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=?\ years\\ P=\$200\\ A=\$328.80\\r=0.046

substitute in the formula above  and solve for t

328.80=200(1+0.046t)

(328.80/200)=(1+0.046t)

t=[(328.80/200)-1]/0.046

t=14\ years

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Answer: 80 feet.


Step-by-step explanation:

1. As you can see in the figure, triangle ABC and the triangle DFG are similar.

2. The scale of factor of triangle ABC to triangle DFG is the following:

sf=\frac{20ft}{4ft}\\sf=5ft

3. Therefore, the lenght of the side DG of the trinagle DFG is:

DG=5*AC\\DG=5*7ft\\DG=35ft

4. The perimeter of the triangle DFG is:

P_{DFG}=20ft+25ft+35ft=80ft

5. Therefore, she would need 80 feet of fence.


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3 years ago
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3/4 is the simplified version of 9/12
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Which equation is equivalent to 16 Superscript 2 p Baseline = 32 Superscript p 3?.
Mrac [35]

The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

2^{8p}=2^{5p+15}

<h3>What is equivalent equation?</h3>

Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The given equation in the problem is,

16^{2p}=32^{p+3}

Write both the equation in the form of same base number as,

(2^4)^{2p}=(2^5)^{p+3}

The power of the power of a number can be written as product of both the numbers. Thus,

(2)^{4\times2p}=(2)^{5\times(p+3)}\\2^{8P}=2^{5P+15}

This is the required equation.

Now if the base is the same at both side of the expression, then the powers can be compared. Thus,

8p=5p+15

Solve it further to find the value of p as,

8p-5p=15\\3p=15\\p=5

Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

2^{8p}=2^{5p+15}

Learn more about the equivalent expression here;

brainly.com/question/2972832

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nataly862011 [7]
(0, 9) would be the coordinates of A.
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Please help I am really confused so if someone could explain it to me I’ll be happy to give u brainlest
Katen [24]

Answer:

a=1

Step-by-step explanation:

If it has a slope f 1 the points should be matching.

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2 years ago
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