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igomit [66]
3 years ago
13

Micah needs $18,500 to purchase a boat. How much money will he need to invest today in a savings account earning 3.2% interest,

compounding quarterly, to have enough money to purchase the boat in 14 years?
Mathematics
1 answer:
charle [14.2K]3 years ago
6 0
We have that every quarter, he will get an 0.8% interest rate. We also have that there will be 14*4=56 periods of repayment. We have that by the formula, if there are n periods and x% is the interest rate, the capital is multiplied by (100+x%)^n.
Suppose Micah invests x money. Then, we have that after 14 years, the capital available will be C=x*(1.008)^{56}=x*1.562. We have that C=18500$ and hence that 18500=x*1.562. Thus, solving for x we have that x=11841$.
Micah will need to invest only 11841$ in order to pay for his boat; this shows the importance of saving since he earns a lot of money, around 7k $.
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Consider the rule y = 5x + 7.
maksim [4K]

Answer:

see below

Step-by-step explanation:

Consider the rule y = 5x + 7.

a. How many tiles are in Figure 0?

In figure 0, we let x=0

y = 5*0+7 = 0+7 = 7

b. Which figure has 37 tiles?

This means y = 37

37 = 5x+7

Subtract 7 from each side

37-7 = 5x+7-7

30 = 5x

Divide by 5

30/5 = 5x/5

6 =x

Figure 6 has 37 tiles

c. In the equation y = mx + b, what do the letters m and b represent?

m is the slope or how much it is increasing each time x increases by 1  and b is how much we start with when x =0

5 0
4 years ago
Find the sum of the polynomials.
Bond [772]
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6n^2-4-2n^2+9
4n^2+5
Hope this helps!
6 0
3 years ago
Which of the following are square roots of the number below? Check all that<br> apply.<br> 49
Zigmanuir [339]
The answer should be 7
4 0
3 years ago
Read 2 more answers
8. Souve sath equation by gracking, Round to the nearest tenth.Z 4B = -7%0-7-6, -16,-11,5
diamong [38]

Step 1: Write out the equation

x^2+6=-7x

Step 2: Rewrite the equation

x^2+7x+6=0

Step 3: Plot the graph of y = x² + 7x + 6

Step 4: Find the solution of the equation x² + 7x + 6 = 0

The solutions of x² + 7x + 6 = 0 are the x-coordinates of the points where the curve y = x² + 7x + 6 cuts the x-axis.

From the graph, we can see that the points are (-6, 0) and (-1, 0)

Hence, the solutions are -6, -1

8 0
1 year ago
Maximilian wants to rent a car for 10 days, and he has two options. The first rental car company charges a $35 rental fee and an
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Answer:

The second rental car company is better because it is cheaper

Step-by-step explanation:

First option :

The first rental car company charges a $35 rental fee

An amount of $110 for 3 days.

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Second option:

The second rental car company's offer can be modeled by the equation :

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Substitute x = 3

y=28(3)+15

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So, Total cost for 3 days = $99

So, Option 2 is cheaper

So, The second rental car company is better because it is cheaper

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