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arlik [135]
2 years ago
7

Khloe is going to invest in an account paying an interest rate of 7% compounded quarterly. How much would Khloe need to invest,

to the nearest cent, for the value of the account to reach $340,000 in 19 years?
Mathematics
1 answer:
juin [17]2 years ago
7 0

Answer:

$90,962.66

Step-by-step explanation:

The formula for this is, where V = amount after t years:

V = P(1 + r/n)^nt   where P is the amount invested, r = the rate as a decimal fraction, n is the number of times interest compounded each year and t = the number of years.

Here, V = 340,000, r = 0.07, n = 4 , t = 19 and P is to be found.

340,000 = P(1 + 0.07/4)^(4*19)

340,000 = P( 1.0175)^76

P = 340,000 / (1.0175^76)

P =  $90,962.66

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RUDIKE [14]

The recursive formula

a_{n+1} = 5a_n-3

is telling you that the next term in the sequence is five times the previous one, minus 3.

So, if we start with a_1=4, we have to multiply it by 5 and subtract 3 to get the next:

a_2 = 5a_1-3 = 5\cdot 4 - 3 = 20-3 = 17

And similarly we can obtain all the next terms:

a_3 = 5a_2-3 = 5\cdot 17 - 3 = 85-3 = 82

a_4 = 5a_3-3 = 5\cdot 82 - 3 = 410-3 = 407

a_5 = 5a_4-3 = 5\cdot 407 - 3 = 2035-3 = 2032

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2 years ago
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Answer:

2.865

Step-by-step explanation:

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2 years ago
Gary used landscape timbers to create a border around a garden shaped like a right triangle. The longest two timbers he used are
Cloud [144]

Answer:

9 feet

Step-by-step explanation:

Given:

The border of the garden is a right angled triangle.

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Let the length of the shortest timber be 'x' feet.

Now, in a right angled triangle, the longest length is called the hypotenuse.

As 15 feet is the largest length, it is the hypotenuse of the triangle. Now, applying Pythagoras theorem, we get:

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Sandra enters a pumpkin growing contest each year. Currently, her pumpkin measures 36 inches in circumference. Using data from p
Arturiano [62]
Hi there.

Using process of elimination & some logic, I believe the answer is:

C) starting size of the pumpkin

I hope this turned out right!

~
5 0
2 years ago
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ANSWER: B. 13/8

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2 years ago
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