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DochEvi [55]
2 years ago
10

Lester deposits $80 into a new savings account. The account earns 6.5% simple interest per year. No money is added or removed fr

om the savings account for 3 years. What is the total amount of money in her savings account at the end of 3 years?
Mathematics
1 answer:
Sedaia [141]2 years ago
4 0

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$80\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ t=years\dotfill &3 \end{cases} \\\\\\ A=80[1+(0.065)(3)]\implies A=80(1.195)\implies A=95.6

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F(x)=x^2. What is g(x)? <br>A. g(x)=1/4x^2<br>B. g(x)=1/2x^2<br>C. g(x)=(1/2x)^2<br>D. g(x)=2x^2
murzikaleks [220]

Answer:

The answer is b g(x)=1/2x^2

Step-by-step explanation:

7 0
3 years ago
What is the simplified expression for 6 to the power of 4 multiplied by 6 to the power of 3 over 6 to the power of 5?
bazaltina [42]

Answer:

6^2

Step-by-step explanation:

(6^4 x 6^3)/6^5

6^7/6^5

6^2 = 36

5 0
4 years ago
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Andreyy89

Answer:

1) the second one

2) 11

Step-by-step explanation:

for the first one, the answer is the second one. because each term is being multiplied by -9 to get the next term.

the second problem is 11

5 0
3 years ago
Prove that lines 3x-4y=12 and 3y=12-4x are perpendicular.
Svetllana [295]

Answer:

see explanation

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes equals - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Consider the given equations

3x - 4y = 12 ( subtract 3x from both sides )

- 4y = - 3x + 12 ( divide terms by - 4 )

y = \frac{3}{4} x - 3 ← in slope- intercept form

with slope m = \frac{3}{4}

3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )

y = - \frac{4}{3} x + 4 ← in slope- intercept form

with slope m = - \frac{4}{3}

Then

\frac{3}{4} × - \frac{4}{3} = - 1

Since the product of their slopes = - 1 then the lines are perpendicular

3 0
3 years ago
(0,5) (3,4) into y=mx+b
Veseljchak [2.6K]

Answer:

y = -1/3x + 5

Step-by-step explanation:

Find slope.

m = y₂ - y₁ / x₂ - x₁

Two points given.

(0,5) (3,4)

m = 4 - 5 / 3 - 0

m = -1 / 3

y = -1/3x + b

Substitute x and y by an point. Let's take (0,5)

0 - x

5 - y

5 = -1/3(0) + b

5 = 0 + b

5 - 0 = b

5 = b

So,

y = -1/3x + 5

6 0
4 years ago
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