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Alik [6]
2 years ago
7

You have $1000 you want to save, but you don’t want to put it into a savings account the pays only 0.5% per year. Instead, you h

ave decided to put your money into a CD that pays simple interest for three months. At the end of the three months (1/4 of a year) you get your money and interest back. The interest rate you were able to get was 3% per year. What is the total amount of interest (ie. extra money you get) that was earned on this CD?
Mathematics
1 answer:
just olya [345]2 years ago
5 0

Answer:

$30

Step-by-step explanation:

If the CD paid back 3% interest of the money you put in, all you have to find is what 3% of $1000 is.

3% = 0.03.

0.03 x 1000 is $30.

You earned $30 in interest.

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Show that if A is​ invertible, then det Upper A Superscript negative 1det A−1equals=StartFraction 1 Over det Upper A EndFraction
netineya [11]

Answer:

Therefore  

 det(A)*det(A^{-1}) = 1      and         det(A^{-1}) = 1/det(A)

Step-by-step explanation:

Remember that  if  

I  =  Identity Matrix    

then    det(I)=1.

Also remember that for any invertible matrix  

A*A^{-1}  = I =Identity Matrix.

Therefore    

det(A*A^{-1})  = det(A)*det(A^{-1}) = det(I) = 1

Therefore  

 det(A)*det(A^{-1}) = 1      and         det(A^{-1}) = 1/det(A)

7 0
3 years ago
Can someone please help me with this, btw don’t mind the white-out
inysia [295]

Answer:

x< 10

Step-by-step explanation:

To start the absolute difference between 20 and 5 is 15. Next, write out an equation for the problem:

x * 1.5 < 15,

Then divide by 1.5 on both sides...

Boom! x < 10.

7 0
2 years ago
Renee is simplifying the expression (7) (StartFraction 13 over 29 EndFraction) (StartFraction 1 over 7 EndFraction). She recogni
dsp73

Answer:

The correct option is commutative property.

Step-by-step explanation:

The expression that Renee is simplifying is:

(7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})

It is provided that, Renee recognizes that 7 and \frac{1}{7} are reciprocals, so she would like to find their product before she multiplies by \frac{13}{29}.

The associative property of multiplication states that:

a\times b\times c=(a\times b)\times c=a\times (b\times c)

The commutative property of multiplication states that:

a\times b\times c=a\times c\times b=c\times a\times b

The distributive property of multiplication states that:

a\cdot (b+c)=a\cdot b+a\cdot c

The identity property of multiplication states that:

a\times 1=a\\b\times 1=b

So, Renee should use the commutative property of multiplication to find the product of 7 and \frac{1}{7},

(7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})=(7\times\frac{1}{7})\times\frac{13}{29}=\frac{13}{29}

Thus, the correct option is commutative property.

5 0
3 years ago
Read 2 more answers
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
Dima020 [189]

Answer: 0 y=x+10

Step-by-step explanation:

6 0
3 years ago
A private school opened in 2005 with an initial enrollment of 85 students. The enrollment has increased by an average of 18 stud
mafiozo [28]
<span>1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.

f(t) = 85 + 18t </span>⇒ y = 85 + 18x<span>
g(t) = 95 + 15t </span>⇒ y = 95 + 15x

y = y
85 + 18x = 95 + 15x
18x - 15x = 95 - 85
3x = 10
x = 10/3
x = 3 1/3

y = 85 +18(10/3) = 85 + 180/3 = 85 + 60 = 145
y = 95 + 15(10/3) = 95 + 150/3 = 95 + 50 = 145

x = 10/3 or 3 1/3
y = 145
4 0
3 years ago
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