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3 years ago

Franklin deposits $3500 in an account that earns 3.5% interest compounded annually.

1 answer:

8 0

The correct answer to this question is this equation:
f(t) = 3500×(1.035)^t

The statement that says, "Franklin deposits $3500 in an account that earns 3.5% interest compounded annually" can be stated in a form of function.

3.5% --> 0.035 + 1 for 1 year
$3500 --> $3500

So the equation would be
f(t) = $3500 * 1.035^t

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Which graph shows a linear function?

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Answer:

the bottom

Step-by-step explanation:

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3 years ago

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What is x in the equation -3(7-2x)+3=8x-10

damaskus [11]

Answer:

x=-4

Step-by-step explanation:

−3(7−2x)+3=8x−10

Step 1: Simplify both sides of the equation.

−3(7−2x)+3=8x−10

(−3)(7)+(−3)(−2x)+3=8x+−10(Distribute)

−21+6x+3=8x+−10

(6x)+(−21+3)=8x−10(Combine Like Terms)

6x+−18=8x−10

6x−18=8x−10

Step 2: Subtract 8x from both sides.

6x−18−8x=8x−10−8x

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−2x−18+18=−10+18

−2x=8

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−2x

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3 years ago

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Carolyn was asked to solve the following system of equations. Her work is shown. What is the solution to the system of linear eq

Natalka [10]

Answer:

(11, 13)

Step-by-step explanation:

Carolyn's work is incorrect. Below is the correct solution:

Given:

$3x - 2y = 7$ ----› Equation 1

$y = x + 2$ -----› Equation 2

Substitute y = (x + 2) in equation 1

$3x - 2y = 7$ ----› Equation 1

$3x - 2(x + 2) = 7$ (substitution)

$3x - 2(x) -2(+2) = 7$ (distributive property)

[Note: this is where Carolyn made a mistake]

$3x - 2x - 4 = 7$

Collect like terms

$x - 4 = 7$

$x = 7 + 4$ (addition property of equality).

$x = 11$

Substitute x = 11 in equation 2

$y = x + 2$ -----› Equation 2

$y = 11 + 2$ (substitution)

$y = 13$

✅The solution to the system of equations would be:

(11, 13)

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3 years ago

A triangle has side lengths of 3 m, 5 m and 4 m. The triangle is enlarged so that the larger

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Answer:

48 meters

Step-by-step explanation:

3*4 = 12

5*4 = 20

4*4 = 16

These are the sizes when the triangle enlarges with a scale factor of 4.

To find perimeter, you add the sides together

12+20+16 = 48

The perimeter is 48 meters

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A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the dog covers 1/2 of a metre.

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Answer:

The goat would cover 9 meters in taking 24 steps.

Step-by-step explanation:

There is a mistake in the question so the correct question is below:

A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the horse covers 1/2 of a metre. How many metres would the goat cover in taking 24 steps?

Now, to find the meters goat cover in taking 24 steps.

As 1 step of horse covers = $\frac{1}{2} \ meter.$