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nekit [7.7K]
2 years ago
14

Adam wishes to have $19,000 available in 18 years to purchase a new car for his son as a gift for his high school graduation. To

accomplish this goal, how much should Adam invest now in a CD that pays 1.92% interest compounded semiannually? Adam should invest $ NOW. (Round to the nearest cent as needed.)​
Mathematics
1 answer:
Alborosie2 years ago
6 0

The amount of money Adam should save now in order to accomplish his goal is $13,470.30.

<h3>How much should Adam save now?</h3>

In order to determine the amount Adam should save now, the present valaue of $19,000 has to be determined. Present value is the sum of discounted cash flows.

Present value = future value / (1 + interest)^time

Interest = 1.92/2 = 0.96%

Time = 18 x 2 = 36

$19,000 / (1.0096^36) = $13,470.30

To learn more about present value, please check: brainly.com/question/26537392

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3 years ago
Hey can someone help me plz I don't know how to this?
MakcuM [25]
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5 0
3 years ago
diego has 90 songs on his playlist. how many songs are there for each genre ? 40% rock , 10% country , 30% hip hop , the rest is
hjlf

Answer:

Diego playlist has 36 songs in rock genre, 9 songs in Country genre, 27 songs in hip hop genre and 24 songs in electronica genre.

Step-by-step explanation:

Given:

Total Songs on playlist = 90

rock = 40%

country = 10%

hip hop = 30%

rest is electronica.

We need to find the number of songs in each genre.

rock = 40%

So Number of songs in rock genre = \frac{40}{100}\times90 = 36\ songs

country = 10%

So Number of songs in country genre = \frac{10}{100}\times90 = 9\ songs

hip hop = 30%

So Number of songs in hip hop genre = \frac{30}{100}\times90 = 27\ songs.

and rest is electronica genre.

Number of songs in electronica genre can be calculated by Subtracting Number of songs in rock genre and Number of songs in country genre and

Number of songs in hip hop genre from Total number of songs.

framing in equation form we get;

Number of songs in electronica genre = 90-30-9-27 = 24\ songs

Hence Diego playlist has 36 songs in rock genre, 9 songs in Country genre, 27 songs in hip hop genre and 24 songs in electronica genre.

3 0
3 years ago
Read 2 more answers
If a tree in a 1 in. : 2 ft. scale drawing is 10 inches tall, how tall is the actual tree?
Citrus2011 [14]

Answer:

20 feet tall

Step-by-step explanation:

Since it is 1 in: 2ft and the drawing is 10 in, you multiply 10 by 2 and get 20 feet.

(hope this helps!)

4 0
3 years ago
The length of a rectangle is 3 inches more than the width. The area is 10 square inches. Find the dimensions
mr_godi [17]

Answer:

Width = 2

Length = 5

Step-by-step explanation:

let A be the area of the rectangle

   L be the length of the rectangle

   w be the width of the rectangle

<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’

A = L × w

…………………………………………………

A = L × w

⇔ 10 = (w + 3) × w

⇔ 10 = w² + 3w

⇔ w² + 3w - 10 = 0  

<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 =  0 :

Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49

then √Δ = 7

\Longrightarrow w=\frac{-b+\sqrt{\Delta } }{2a} =\frac{-3+7}{2} =2

  or\ w=\frac{-b-\sqrt{\Delta } }{2a} =\frac{-3-7}{2} =-5

-5 is not valid ,because w represents the width

which must be a positive number

Then  w = 2

<u><em>Conclusion</em></u>:

Width = 2

Length = 2 + 3 = 5

6 0
2 years ago
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