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NikAS [45]
3 years ago
6

Tammy borrowed $5000 at a rate of 12% compounded monthly. Assuming she makes no payments, how much will she owe after 9 years?

Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer:

$14,644.63

Step-by-step explanation:

To solve this problem we can use the compound interest formula which is shown below:

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

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>n = number of times compounded annually </em>

<em>t = time </em>

<em />

First change 12% into a decimal:

12% -> \frac{12}{100} -> 0.12

Lets plug in the values:

A=5,000(1+\frac{0.12}{12})^{9(12)}

A=14,644.63

Tammy will own $14,644.63 after 8 years,

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What is the solution to the following system?
leva [86]

Answer:

(4,3,2)

Step-by-step explanation:

We can solve this via matrices, so the equations given can be written in matrix form as:

\left[\begin{array}{cccc}3&2&1&20\\1&-4&-1&-10\\2&1&2&15\end{array}\right]

Now I will shift rows to make my pivot point (top left) a 1 and so:

\left[\begin{array}{cccc}1&-4&-1&-10\\2&1&2&15\\3&2&1&20\end{array}\right]

Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,

-2R1+R2=R2 , -3R1+R3=R3

\left[\begin{array}{cccc}1&-4&-1&-10\\0&9&4&35\\0&14&4&50\end{array}\right]

\frac{R_2}{9}=R_2


\left[\begin{array}{cccc}1&-4&-1&-10\\0&1&\frac{4}{9}&\frac{35}{9}\\0&14&4&50\end{array}\right]


4R2+R1=R1 , -14R2+R3=R3

\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&-\frac{20}{9}&-\frac{40}{9}\end{array}\right]


-\frac{9}{20}R_3=R_3

\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&1&2\end{array}\right]


-\frac{4}{9}R_3+R_2=R2 , -\frac{7}{9}R_3+R_1=R_1


\left[\begin{array}{cccc}1&0&0&4\\0&1&0&3\\0&0&1&2\end{array}\right]


Therefore the solution to the system of equations are (x,y,z) = (4,3,2)

Note: If answer choices are given, plug them in and see if you get what is "equal to".  Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.

7 0
3 years ago
Complete the proof that ∠PST≅∠QRT.<br> S<br> P<br> Q<br> R<br> T
EastWind [94]

Answer: Transitive property of congruence

3 0
2 years ago
Read 2 more answers
Selmas class making a care package to give to victims of a natural disaster.Selma packs one box in 5 minutes and has already pac
bixtya [17]

Each of them need to work 105 minutes more in order to have packed the same number of boxes.

<u><em>Explanation</em></u>

Suppose, they need to work for x minutes more in order to have packed the same number of boxes.

Selma packs one box in 5 minutes and Trudy packs one box in 7 minutes.

So, the number of boxes packed by Selma in that x minutes =\frac{x}{5} and the number of boxes packed by Trudy in x minutes =\frac{x}{7}

Given that, Selma and Trudy have already packed 12 and 18 boxes.

Now if <u>each of them packed the same number of boxes</u>, then the equation will be......

12+\frac{x}{5}=18+\frac{x}{7}\\ \\ \frac{x}{5}-\frac{x}{7}= 18-12\\ \\ \frac{7x-5x}{35}=6\\ \\ \frac{2x}{35}=6\\ \\ 2x= 210\\ \\ x= \frac{210}{2}=105

So, each of them need to work 105 minutes more in order to have packed the same number of boxes.

6 0
3 years ago
Help please for today
miskamm [114]

Answer:

<em>y: (0 , 2.5)</em>

<em>x: (3.5 , 0)</em>

Step-by-step explanation:

Y-intercept : (0 , 2.5)

X-intercept: (3.5 , 0)

When looking at the intersection on the y-axis, the x-coordinate will be 0. And when looking at the intersection on the x-axis, the y-coordinate will be 0.

8 0
3 years ago
What is 50 times 50<br> i realy need help on this and plz help me on this
Shalnov [3]

Hello There!

50*50 is 2,500

4 0
3 years ago
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