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Anna11 [10]
3 years ago
9

An investor deposits $825 into a retirement account that pays 6.5% simple annual interest. If no additional investment is made,

how much interest should the investor expect at the end of 4 years?
Mathematics
2 answers:
Eduardwww [97]3 years ago
5 0

Answer:

24750.

Step-by-step explanation:

825 x 6.5%= 5362.5 x 4= 24750

Ulleksa [173]3 years ago
4 0

Answer:

1039.5

Step-by-step explanation:

6.25% of 825 = 53.625

53.625 x 4 =  214.50

825 + 214.50 = 1039.5

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Consider generating length-7 strings of lowercase letters. How many strings are there that either begin with 2 consonants or end
Semmy [17]

Answer:

5259544316

Step-by-step explanation:

Given that:

Length of string = 7

Either begins with 2 consonants or ends with 2 vowels :

Either or :

A U B = A + B - (AnB)

Number of vowels in alphabet = 5

Number of consonants = 21

2 consonants at beginning :

First 2 consonants, then the rest could be any:

21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816

3 vowels at the end :

First 4 letters could be any alphabet ; last 3 should be vowels.:

26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000

2 consonants at beginning and 3 vowels at the end :

21 * 21 * 26 *26 *5* 5 * 5 = 37264500

Hence,

2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end

(5239686816 + 57122000) - 37264500

= 5259544316

Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316

7 0
3 years ago
Please help me answer this.
Mariulka [41]

Answer:

(a) 3

Step-by-step explanation:

Calculate the slope m of the line given using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0,3) and (x₂, y₂ ) = (3, 2)

m = \frac{2-3}{3-0} = - \frac{1}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{3} } = 3 → (a)


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