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loris [4]
3 years ago
10

Express 31 billion in scientific notation

Mathematics
1 answer:
ella [17]3 years ago
5 0
3.1 x 10^10

Yeah, that's it.
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Gonzalez Manufacturing borrowed ​$. Part of the money was borrowed at ​%, part at ​%, and part at ​%. The annual interest was ​$
Pavel [41]

Answer:

The answer is "rate 12%, 14%, 16% and value 4000, 10000, and 7000".

Step-by-step explanation:

Let the value is x, y, and z. so,

The value of x amount will be borrowed at 12% = \frac{12}{100} \times x= 0.12x

The value of y amount will be borrowed at 14%= \frac{14}{100} \times x= 0.14x

The value of z amount will be borrowed at 16% = \frac{16}{100} \times x= 0.16x

If the total amount= 21000

\to x+y+z=21000

If the total interest= 3000

calculating the total interest:

\to 0.12x +0.14y +0.16z = 3000

The overall amount borrowing at 12% and 14% was half as much as the amount borrowed at 16%.

\to x + y = 2z\\\\\to x + y - 2z = 0

by calculating the value we have  3 equations that are:

\to x+y+z=21000\\\\\to 0.12.x +0.14.y +0.16z = 3000\\\\\to  x + y - 2z= 0\\

calculate the matrix by above-given value:

\left[\begin{array}{ccc}1&1&1\\0.12&0.14&0.16\\1&1&-2\end{array}\right]\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}21000&3000&0\\ \end{array}\right]

by solving the above matrix we get:

\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}4000&10000&7000\\ \end{array}\right]

\to \$ 4000 \text{ lent at} 12 \% \\\to \$ 10000 \text{ lent at} 14 \% \\\to  \$ 7000 \text{ lent at} 16\%\\\\

6 0
3 years ago
Please help with these two questions?
Pepsi [2]
The top one is x=7 and 4 is y=11 and x=7 idk just bacing it off the other triangles bc there all the same size except 3
4 0
3 years ago
Read 2 more answers
1. Find the sum of the measures of the interior angles of a regular 16-gon.
kenny6666 [7]

Answer:

B.  2520 degrees.

Step-by-step explanation:

Sum of interior angles = 180(n - 2)

= 180(16-2)

= 2520 degrees.

5 0
2 years ago
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