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Mathematics

2 answers:

hram777 [196]3 years ago

6 0

11. B 125
12. C 28
13. D Associative Property of Multiplication
14. D 245

yKpoI14uk [10]3 years ago

5 0

#12 is C. I'll try the other ones and give an answer if I figure it out.

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in 2009 a total of R36 000 was invested in two accounts. One account earned 7% annual interest and the other earned 9% .The tota

Akimi4 [234]

a = amount invested at 7%

b = amount invested at 9%

we know the amount invested was ₹36000, thus we know that whatever "a" and "b" are, a + b = 36000. We can also say that

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of a}}{\left( \cfrac{7}{100} \right)a}\implies 0.07a~\hfill \stackrel{\textit{9\% of b}}{\left( \cfrac{7}{100} \right)b}\implies 0.09b$

since we know the interest earned from the invested was ₹2920, then we say that 0.07a + 0.09b = 2920.

$\begin{cases} a + b = 36000\\\\ 0.07a+0.09b=2920 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{a + b = 36000\implies \underline{b = 36000-a}}~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.07a~~ + ~~0.09(\underline{36000-a})~~ = ~~2920} \\\\\\ 0.07a+3240-0.09a=2920\implies 3240-0.02a=2920\implies -0.02a=-320 \\\\\\ a=\cfrac{-320}{-0.02}\implies \boxed{a=16000}~\hfill \boxed{\stackrel{36000~~ - ~~16000}{20000=b}}$

5 0

2 years ago

Which of the following best describes the graph of the polynomial function

Varvara68 [4.7K]

ANSWER

The graph has no zero.

EXPLANATION

The given polynomial function is a quadratic graph that has its maximum point at

$(-1,0)$

The graph has no x-intercept.

This implies that, the polynomial function represented by this graph has no zeros.

The correct answer is option D

7 0

3 years ago

Read 2 more answers

What is the solution to the inequality 7<=-3x-4

kipiarov [429]

Answer:

The nearest option is -3 (negative 3)

So, Option B is correct.

Step-by-step explanation:

We need to solve the inequality $7 \leq -3x-4$