4. Nick deposited $4,000 in a 4 year CD account that pays 4.18% interest, compoundedweekly. What is the ending balance?

Answer-

Answers

Answer 1
Answer:

Answer:

The balance in Nick's CD account after 4 years would be approximately $4,702.79.

Step-by-step explanation:

To calculate the ending balance of Nick's CD account, you can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment/ending balance

P = the principal amount (initial deposit) = $4,000

r = the annual interest rate (in decimal form) = 4.18% or 0.0418

n = the number of times that interest is compounded per year = 52 (weekly compounding)

t = the number of years the money is invested for = 4 years

Now, plug these values into the formula and calculate:

A = 4000(1 + 0.0418/52)^(52*4)

A = 4000(1 + 0.00080384615)^(208)

A ≈ 4000(1.00080384615)^208

A ≈ 4000 * 1.17569743

A ≈ $4,702.79


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The designer also programs a bird with a path that can be modeled by a quadratic function. The bird starts at the vertex of the path at (0, 20) and passes through the point (10, 8). What is the slope of the line that represents the turtle's path?
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Which statement regarding the diagram is true?m2WXY = m_YXZ
m2WXY < m_YZX
m2WXY + m2YXZ = 180°
m2WXY + m_XYZ = 180°

Answers

The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

To find the correct statement.

Now, We can find the correct statement as;

By definition of linear pair we get;

⇒ m ∠WXY + m ∠YXZ = 180°

Thus, The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

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Answer: C.   angle WXY + angle YXZ = 180 degrees

Explanation:

These two angles are a linear pair. They are supplementary (ie they add to 180) and they are adjacent. We know they are supplementary because line WXZ is a straight line. Put another way: point X is on line WZ.

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Side notes:

  • Choice A is only true if we have a 90 degree angle at point X
  • Choice B is never true because of the remote interior angle theorem
  • Choice D is only true if we have an isosceles triangle with XZ = YZ.

Cole spent a total of 523.46 on holiday gifts for his friends and family. If he bought gifts for eleven people,about how much did he spend on each person

Answers

Answer:

Cole spend 47.587 on buying gifts for each person.

Step-by-step explanation:

Given:

Total money spend on gifts = 523.46

Number of people gifts were bought for = 11

We need to find how much he spend on each person.

Solution:

To find how much he spend on each person we will divide total money spend on gifts with number of people gifts were bought for.

framing in equation form we get;

Spending on each person = (523.46)/(11) = 47.587

Hence Cole spend 47.587 on buying gifts for each person.

A total of 180 students went on a field trip. There were 3 buses. If each bus had the same number of students on it, how many students were on each bus? Explain how to solve using compatible numbers.

Answers

Answer:

60

Step-by-step explanation:

180 divided by 3 is 60

Answer:

The answer is 60.

Step-by-step explanation:

First, you should know that the answer will have a 6 in it, because 6 x 3 = 18.

You don't have to solve anything, you just add a zero onto the 6, because the number 18 has a zero on it. Or you can always use a calculator.

60 x 3 = 180

Line A has a slope of 6/10 and a line B has a slope of 3/5 are both lines parallel?

Answers

Answer:

Nope!

Step-by-step explanation:

If you look at both of the slopes, you can tell that 6/10 is actually equivalent to 3/5. 3/5 is the simplified version of 6/10. So realistically, they'd line up perfectly and not be parallel!

I hope this helped!!

If a grocery store is selling 3 oranges for $1.47 .What is the unit cost ?

Answers

Answer:  0.49 dollars, which is equivalent to 49 cents

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Work Shown:

Divide the total cost over the number of items to get the unit cost

unit cost = (total cost)/(number of items)

unit cost = (1.47)/(3)

unit cost = 0.49 dollars

unit cost = 49 cents

---------------------------

Another approach:

3 oranges = 1.47 dollars

3/3 oranges = 1.47/3 dollars

1 orange = 0.49 dollars

1 orange = 49 cents

The unit cost is the cost of 1 item, so the the unit cost is 49 cents per orange.

Final answer:

The unit cost of an orange in this case is calculated by dividing the total cost ($1.47) by the number of units (3), which gives us a unit cost of approximately $0.49.

Explanation:

The unit price can be calculated by taking the total price and dividing it by the number of units. In this case, the total price is $1.47 and there are 3 oranges. So the unit price would be calculated as follows:

$$1.47 divided by 3 = $0.49 (rounded to the nearest cent)

Therefore, the unit cost of an orange is approximately $0.49..

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Combine like terms.7 + 4x – 10x + 15


A.22 – 14x


B.22 – 6x


C.22 + 6x


D.11x – 5x

Answers

The answer is B 

Reason Being is because you would combine (4x) and (-10x) which would give you -6x.

After combining those you would combine (7) and (15) which would give you 22.

Therefore, your answer is (22-6x)