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Mrac [35]
2 years ago
14

Mallory took out a loan for $1500. She paid the loan back in 1 year with 7% simple interest. How much did Mallory pay in total?

Mathematics
1 answer:
romanna [79]2 years ago
6 0

Answer:

$1605

Step-by-step explanation:

Because this is simple interest, you can convert the 7% into a decimal

Because she payed an EXTRA 7% she payed 107% total

107% is the equivalent to 1.07

By multiplying 1500 x 1.07 = 1605

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See question in attached photo.​
statuscvo [17]

9514 1404 393

Answer:

  (a, b) = (-2, -1)

Step-by-step explanation:

The transpose of the given matrix is ...

  A^T=\left[\begin{array}{ccc}1&2&a\\2&1&2\\2&-2&b\end{array}\right]

Then the [3,1] term of the product is ...

  (A\cdot A^T)_{31}=\left[\begin{array}{ccc}a&2&b\end{array}\right]\cdot\left[\begin{array}{ccc}1&2&2\end{array}\right]=a+2b+4

and the [3,2] term is ...

  (A\cdot A^T)_{32}=\left[\begin{array}{ccc}a&2&b\end{array}\right]\cdot\left[\begin{array}{ccc}2&1&-2\end{array}\right]=2a-2b+2

Both of these terms in the product matrix are 0. We can solve the system of equations by adding these two terms:

  (a +2b +4) +(2a -2b +2) = (0) +(0)

  3a +6 = 0

  a = -2

Substituting for 'a' in term [3,1] gives ...

  -2 +2b +4 = 0

  b = -1

The ordered pair (a, b) is (-2, -1).

8 0
3 years ago
The newest cellular phone costs $784.26 after a 5.5% sales tax is applied. What is the cost of the cellular phone before sales t
Vladimir79 [104]
The cost before tax is $743.37
3 0
3 years ago
HELP! Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temper
Lady bird [3.3K]

Answer:

go follow this website it has a full answer brainly.com/question/2803975

Step-by-step explanation:

7 0
3 years ago
What is the value of x to the nearest tenth?
lord [1]

check the picture below.


so x = b + b = √(180) + √(180).

4 0
3 years ago
And algebra teacher drove by a farm yard full of chickens and pigs. The teacher happened to notice there were total of 70 heads
Oksanka [162]

To solve this problem, we are going to use a system of equations.  Let the variable c represent the number of chickens in the farm yard and the variable p represent the number of pigs in the farm yard.  If there is a total of 70 heads, this means that the total number of animals (chickens plus pigs) must be 70.  This can be represent by the equation: c + p = 70.  We are also told that there are 200 legs.  Using our knowledge that chickens have 2 legs and pigs have 4 legs, we can construct the following equation: 2c + 4p = 200.  Our system of equations is as follows:

c + p = 70

2c + 4p = 200

To solve, we are going to subtract c from both sides of the first equation so that we can get the variable p alone.  Then, using this value for p in terms of c, we are going to substitute into the second equation.  This method is shown below:

c + p = 70

p = 70 - c

2c + 4p = 200

2c + 4(70-c) = 200

To solve this equation, we are first going to distribute the coefficient of 4 through the parentheses on the left side of the equation to simplify.

2c + 280 - 4c = 200

Next, we are going to combine like terms on the left side of the equation.  This means adding together the two terms that both have a variable c.

-2c + 280 = 200

Next, we are going to subtract 280 from both sides of the equation so that we can move all of the constant (number only) terms to the right side of the equation.

-2c = -80

Finally, we are going to divide both sides of the equation by -2 to get the variable c alone.

c = 40

We should now substitute this value for c back into one of our original equations to solve for p.

c + p = 70

40 + p = 70

To solve, simply subtract 40 from both sides of the equation to get the variable p alone.

p = 30

Therefore, your answer is that there were 40 chickens and 30 pigs.

Hope this helps!

7 0
3 years ago
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