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Rudik [331]
3 years ago
9

Maritza remembers her PIN because it is the product of two consecutive prime numbers that is between 1000 and 1500. What is her

PIN?
Mathematics
2 answers:
fenix001 [56]3 years ago
8 0

Answer:

1147

Step-by-step explanation:

Given that Maritza emembers her PIN because it is the product of two consecutive prime numbers that is between 1000 and 1500.

We know that prime numbers are 2,3,5,7...

But one digit numbers consecutive will give very low product.

Hence we can say that two digit numbers to be taken

23(29) = 667 is very low

Hence let us start taking numbers greater than 30

31 and 37 are consecutive primenumbers

31(37) =1147

Let us try next as 37 and 43

37(43) =1591>1500

Hence only possibility is her pin is 1147

Elis [28]3 years ago
3 0
30 x 30 = 900  too low
40 x 40 =1600   too high - so the answer lies somewhere between

30 x 31 (too low)  39 x 40 = too high

31 and 37 are the only primes between those numbers and that is her pin 3137

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Suppose you would like to save P9000 invested at 8% compounded quarterly for 5 years and 6 months. (Note: Round off your answer
Sever21 [200]

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so P = 9000

Interest rate of 8%, so r = 0.08

Compounded quarterly, so n = 4

5 years and 6 months, that is, 5 years and half, so t = 5.5

(a) How much would the value of her savings at the end of the term?

A(t) = P(1 + \frac{r}{n})^{nt}

A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82

(b) How much is the interest earned by your savings?

The amount subtracted by the principal. So

13913.82 - 9000 = 4913.82

5 0
3 years ago
Please help please help ???
zhannawk [14.2K]

Answer: ○| ̄|_ =3

the answer would be 2, because the 30 is increased from the 3 by times 10 so it would be the same for the 20, 20/10=2

Step-by-step explanation: mr clean

4 0
3 years ago
2/3h - 1/3h + 11 = 8
kifflom [539]
2/3h - 1/3h + 11 = 8
1/3h = -3
h = -9
7 0
4 years ago
Dominic's water jug 1.25 quarts. Terrell say he can find the capacity of the jug in fluid ounces by dividing 1.25 by 32.0.
fgiga [73]
No.  Terrell is not correct.  Terrell is incorrect.  The method he offers is 
inappropriate, inapplicable, and lacks veracity, and as a mathematician, 
Terrell himself is devoid of integrity.  If his method is implemented, it 
cannot accurately compute the capacity of Dominic's water jug in fluid 
ounces.  It will produce a number that is inaccurate, fallacious, mistaken, 
erroneous, and incorrect.  Moreover, the solution will be wrong. 

If the units are carried through with the calculation ... as always they must ... 
then it will immediately become clear that Terrell's method has produced a 
solution with units of  "square quarts per ounce", whereupon any witnesses 
should justifiably become nauseous.  Terrell's method should be disdained, 
rejected, discarded and ignored.

==> 1.25 should not be "divided" by 32.  

==> Instead, 1.25 should be<span> multiplied </span>by 32.

The modified method will produce a result with units of "fluid ounces" ...
the first indication to the assembled multitude that whatever the number 
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6 0
3 years ago
A square and an equilateral triangle have equal perimeters. the area of the triangle is $2\sqrt {3}$ square inches. what is the
guajiro [1.7K]
The question is
A square and an equilateral triangle have equal perimeters. The area of the triangle is 2√3 sq<span>uare inches. What is the number of inches in the length of the diagonal of the square?
</span>
we know that
the area of an equilateral triangle is
applying the law of sines
A=(1/2)*b²*sin 60°-----> 2√3=(1/2)*b²*√3/2
(2√3)*(2/√3)=(1/2)*b²
4=(1/2)*b²
b²=8
b=√8 in

perimeter of the triangle=3*b-----> 3*√8 in

let
x----> the length side of the square
perimeter of the square=perimeter of the triangle
perimeter of the square=3*√8 in
and
perimeter of the square=4*x
4*x=3*√8
x=(3/4)*√8----> x=(3/2)*√2 in

find the diagonal of the square
applying the Pythagoras theorem
D²=x²+x²----> D²=2*x²----> D²=2*((3/2)*√2)²
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D²=9
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the answer is
the number of inches in the length of the diagonal of the square is 3
7 0
3 years ago
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