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skad [1K]
1 year ago
6

11. You expect to have the given amount in an account with the given terms. Find how much you can withdraw periodically in order

to make the account last the specified amount of time. Round your answer to the nearest cent. Account balance: $300,000 Interest rate: 4.45% Frequency daily Time: 22 years Regular withdrawal amount: $

Mathematics
1 answer:
Orlov [11]1 year ago
8 0

This is a question on Present Value of Annuity and we seek the periodic withdrawal.

\begin{gathered} F\text{VA}=\text{PMT(}\frac{(1+\frac{i}{m})^{nm}-1}{\frac{i}{m}}) \\ \text{Therefore, PMT=}\frac{FVA}{(\frac{(1+\frac{i}{m})^{nm}-1}{\frac{i}{m}})} \end{gathered}

where:

FVA = Future value of annuity

PMT = Periodic Withdrawal

i = interest/discount rate

n = no of years

m = no of compundings per interest period

\text{PMT=}\frac{300000}{(\frac{(1+\frac{0.0445}{365})^{22\times365}-1}{\frac{0.0445}{365}})}=22.01

PMT = $22.01

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Solve: 6(1-3) = 2(9-21)
lukranit [14]

Answer:-12=-24 FALSE

Step-by-step explanation:

6-18= -12

18-42= -24

The statement is false

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8 0
3 years ago
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The bracelet Lily would like to buy costs $5 less than 5 times the amount she has saved . The bracelet costs $30. How much money
pochemuha

Lily has saved $ 7

<em><u>Solution:</u></em>

Given that bracelet costs $30

The bracelet Lily would like to buy costs $5 less than 5 times the amount she has saved

Cost of bracelet = $ 30

From given statement,

Cost of bracelet = 5 times the amount she has saved - 5

Let "x" be the amount saved by lily

Cost of bracelet = 5 times x - 5

Here "times" represents multiplication

30 = 5(x) - 5

30 = 5x - 5

30 + 5 = 5x

5x = 35

On dividing 35 by 5 we get 7

x = 7

Thus Lily saved $ 7

3 0
3 years ago
Which of the following is a solution of x2 − 10x = −36?
Masteriza [31]

Answer:

Option D, 5 plus i square root of 11

Step-by-step explanation:

We have to find the solution of x² - 10x = -36

x² - 10x = -36

x² - 10x + 36 = 0

x² - 2(5x) + 25 + 11 = 0

(x-5)² + 11 = 0

(x-5)² = -11

(x-5) = √(-11)

x = 5 + i√11   [ since √(-1) = i]

Option D 5 plus i square root of 11 is the answer.

3 0
3 years ago
PLEASE HELP!!! Two towns are 1100 miles apart. A group of hikers starts from each town and walks down the trail toward each othe
Vinvika [58]

Answer:

2.54 miles/hr

2.04 miles/hr

Step-by-step explanation:

<u>Given: </u> Distance between the two towns = 1100 miles

Difference between speeds = \frac{1}{2} miles/hr

Total time when they meet = 240 hours

<u>To find:</u>

Let distance traveled by first group = x miles.

Now, the distance traveled by second group = (1100-x) miles/hr

The relation between Speed, Time and Distance is given as:

\text{Speed =} \dfrac{\text{Distance}}{\text{Time}}

Let speed of first group = S_1

S_1 = \dfrac{x}{240}

Let speed of second group = S_2

S_2 = \dfrac{1100-x}{240}

As per question, S_1 = S_2 + \frac{1}{2}

\dfrac{x}{240} = \dfrac{1100-x}{240} + \dfrac{1}{2}\\\Rightarrow \dfrac{x}{240} - \dfrac{1100-x}{240} = \dfrac{1}{2}\\\Rightarrow \dfrac{x-1100+x}{240} = \dfrac{1}{2}\\\Rightarrow 2x - 1100 = 120\\\Rightarrow 2x = 1220\\\Rightarrow x = 610 ft

Now,

S_1 = \dfrac{x}{240}

Putting value of x:

S_1 = \dfrac{610}{240}\\\Rightarrow S_1 = 2.54\ miles/hr

Similarly, putting value of x in S_2:

S_2 = \dfrac{1100-610}{240}\\\Rightarrow S_2=\dfrac{490}{240}\\\Rightarrow S_2 = 2.04\ miles/hr

8 0
3 years ago
These dot plots show the lengths (in feet) from a sample of crocodiles and<br>alligators. ​
balandron [24]

Answer:Alligators have a greater IQR because there were some very long alligators (high outliers)

Step-by-step explanation:

6 0
4 years ago
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