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Doss [256]
2 years ago
9

If $7500 is invested at an interest rate of 5% each year, what is the value of the investment in 4 years? Write an exponential f

unction and solve.
Mathematics
1 answer:
Vanyuwa [196]2 years ago
3 0
The answer is 9,116.3
7500*(1+0.05)^4 
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Solving for matrices
muminat

Answer:

D

Step-by-step explanation:

The augmented matrix for the system of three equaitons is

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\5&2&-2&|&11\\5&-4&4&|&-7\end{array}\right)

Multiply the first row by 5, the second row by -3 and add these two rows:

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\5&-4&4&|&-7\end{array}\right)

Subtract the third row from the second:

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&6&-6&|&18\end{array}\right)

Divide the third row by 6:

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&1&-1&|&3\end{array}\right)

Now multiply  the third equation by 26 and add it to the second row:

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&0&-45&|&-90\end{array}\right)

You get the system of three equations:

\left\{\begin{array}{r}3x-4y-5z=-27\\-26y-19z=-168\\-45z=-90\end{array}\right.

From the third equation

z=\dfrac{90}{45}=2.

Substitute z=2 into the second equation:

-26y-19\cdot 2=-168\\ \\-26y-38=-168\\ \\-26y=-168+38=-130\\ \\y=\dfrac{130}{26}=5.

Now substitute z=2 and y=5 into the first equation:

3x-4\cdot 5-5\cdot 2=-27\\ \\3x-20-10=-27\\ \\3x-30=-27\\ \\3x=-27+30=3\\ \\x=1.

The solution is (1,5,2)

4 0
3 years ago
Given the diagram below, find the value of x.
Rufina [12.5K]

Answer:

yes 11000

Step-by-step explanation:

6 0
2 years ago
An equilateral triangle of each side 4 cm​
MaRussiya [10]

Answer:

Each side of the triangle is 4cm and each angle is 60 degrees

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
12 ft 9 in <br>08ft 10in<br>+11ft 4in​
Jobisdone [24]

Answer:

what is the question?

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is f(g(x)) when f(x) = x2 + 5, and g(x) = 10 - 5x?
Mashutka [201]

Answer:

D

Step-by-step explanation:

To obtain f(g(x)) substitute x = g(x) into f(x), that is

f(10 - 5x)

= (10 - 5x)² + 5 ← expand (10 - 5x)²

= 100 - 50x - 50x + 25x² + 5 ← collect like terms

= 25x² - 100x + 105 → D

5 0
3 years ago
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