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elixir [45]
3 years ago
15

Alicia borrowed $3,000 from the

Mathematics
1 answer:
Harrizon [31]3 years ago
3 0

answer: 1,440

explanation: multiply the loan/principal by the rate and amount of years

**remember to turn the rate into a decimal, then multiply

**12% = 0.12

3000 x 0.12 x 4 = 1,440

1,440 = simple interest

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Find the exact value of the expression. Do not use a calculator. If tan θ = 9, find the exact value of cot θ
adelina 88 [10]

\bf tan(\theta )=9\implies tan(\theta )=\cfrac{\stackrel{opposite}{9}}{\stackrel{adjacent}{1}}\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}


\bf c=\sqrt{1^2+9^2}\implies c=\sqrt{82} \\\\[-0.35em] ~\dotfill\\\\ cos(\theta )=\cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{\sqrt{82}}}\implies \stackrel{\textit{rationalizing the denominator}}{cos(\theta )=\cfrac{1}{\sqrt{82}}\cdot \cfrac{\sqrt{82}}{\sqrt{82}}}\implies cos(\theta )=\cfrac{\sqrt{82}}{82}

3 0
3 years ago
Rewrite the function f(x) = -2(x+3)^2 – 8 in the form f (x) = ax²+bx+c.
OverLord2011 [107]

Answer:

-2x^{2}-12x-26

Step-by-step explanation:

(x+3)^2 = x^2+6x+9

-2(x^2+6x+9)-8

-2x^2-12x-18-8

-2x^2-12x-26

8 0
4 years ago
Please pleas please help mark as brainliest!!!!!!!!!!!
olganol [36]
Rule is : plus 5
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4 0
4 years ago
Read 2 more answers
Alexandria is practicing her long distance running. On day 0, she can run 2 miles without stopping. She wants to add 1/4 mile to
monitta

Answer:

slope = 1/4

Step-by-step explanation:

If a equation is in form of y = mx + c

them m is the slope of line.

____________________________________________

Let Y(d) be the distance ran by Alexandria on dth day

Y(0) = 2

she adds 1/4 miles each day then

Y(1) = 2 + 1/4

Y(2) = 2 + 1/4 +1/4 = 2 +1/4(2)

Y(3) = 2 + 1/4 +1/4 +1/4= 2 +1/4(3)

.

.

.

.

similarly

in d days she can run 2 miles + 1/4*d miles

thus, we have

Y(d) = 2 + 1/4(d)

it can be also solved

Thus we see that it is a linear relationship y = 2 + 1/4(d)

which is in the form of y = mx + c

comparing mx to 1/4 d

we have m = 1/4

thus,

slope of this linear relationship is 1/4

8 0
3 years ago
The number of calories consumed at snack varies directly with the number of chocolates eaten. If Jodi eats 2 chocolates, she wil
Veseljchak [2.6K]

Answer:

according to the ratio, if every other chocolates Jodi ate is 36.5 calories, then if she ate 5 chocolates then she would have eaten 157.5 calories. What varies means is some chocolates may not exactly be 36.5 calories.

Step-by-step explanation:

8 0
3 years ago
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