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2 years ago

The Fresh and Green Company has a savings plan for employees. If an employee

Mathematics

1 answer:

erastova [34]2 years ago

5 0

Answer:

$1400

Step-by-step explanation:

The Fresh and Green Company has a savings plan for employees. If an employee makes an initial deposit of $1000, the company pays 8% interest compounded quarterly. If an employee withdraws the money after five years, how much is in the account?

First you need to make 8% into a decimal.

To do that you need to move the decimal point to spaces to the left.

8. ----- 0.8 ----- 0.08

The decimal is 0.08.

Now multiply $1000 by 0.08.

Which is $80.

Now do $80 times 5 years.

which is $400 interest.

Now add $400 to $1000.

Which is $1400.

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PLEASE HELP!! NEED ASAP 100 POINTS!!

Leto [7]

Answer:

See Below.

Step-by-step explanation:

Remember that the maximum account balance Ebony had was $400.

We can see that her bank balance first reached $400 on Day 4 and continued until Day 8.

Part A)

Since the maximum amount is $400, it is whenever the graph reaches (and stays) at its maximum, or the highest points on the graph.

We can see that at around Day 4, she first reached her maximum of $400 since that is the highest point of the graph.

And this continues until approximately Day 8.

Therefore, Ebony first reached $400 on Day 4 and stayed at $400 until Day 8.

Part B)

Refer above. The explanation is the same.

Part C)

Jade is says that the amount Ebony is depositing per day from Days 0 to 4 is the same as the amount Ebony is withdrawing per day from Days 8 to 12.

We also know that Day 12 is when Ebony’s account first reached 0.

Essentially, Jade is saying that the slope of the line from Days 0 to 4 is the same as the slope of the line from Days 8 to 12.

Ignoring the negative, we can immediately see that this is not true without calculating.

This is because the slope of the line from Days 8 to 12 is much steeper than than slope of the line from Days 0 to 4.

So, the two slopes are not equal since they are not the same steepness.

Therefore, this means that from Days 8 to 12, Ebony withdrew money at a faster rate per day than she had been depositing from Days 0 to 4.

Hence, Jade’s statement cannot be true.

3 0

3 years ago

Read 2 more answers

Solve this inequality : 5x+7x<36

Lera25 [3.4K]

Answer:

x < 3

Step-by-step explanation:

5x+7x<36

12x<36

Divide both sides by 12

x<3

7 0

3 years ago

Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).

Leni [432]

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

$m_1=\frac{7-0}{3-0}=\frac{7}{3}$

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

$y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)$

The slope of the line joining E(7,0), and F(3,7). is:

$m_1=\frac{7-0}{3-7}=-\frac{7}{4}$

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

$y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)$