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crimeas [40]
3 years ago
6

Your grandmother deposited some money on your saving account several years ago. If after 4 years, you had $489 and after 6 years

, you had $567 on your account. How much did your grandmother deposit originally? Use the first point to find the original value.
Round your answer to two decimal places.
Mathematics
2 answers:
Nimfa-mama [501]3 years ago
7 0

Answer:

$372

Step-by-step explanation:

If after 4 years, you had $489 and after 6 years, you had $567 on your account.

We first determine the slope of the points (4,489) and (6,567).

Slope, m=\frac{y_2-y_1}{x_2-x_1} \\=\frac{567-489}{6-2} \\=39

Using the slope-Intercept form, y=mx+c and the first value $489

y=mx+c

489=39(4)+c

c=489-156=333

The equation of the line is:

y=39x+333

The Initial Deposit,y at x=1

y=39(1)+333

Initial Deposit =$372

sweet-ann [11.9K]3 years ago
4 0

Answer:

12.45

Step-by-step explanation:

12.45-3

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AlekseyPX

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Step-by-step explanation:

6 0
3 years ago
In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.
Talja [164]

For this problem, we are going to use the <em>law of sines</em>, which states:

\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}


In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, B. Then, we can find the third side. Using the law of sines, we can find:

\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}


We can use this to solve for B:

13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}

B = \sin^{-1}{\Big(13 \cdot \dfrac{\sin{39^{\circ}}}{11}\Big)} \approx 48.1


Now, we can find C:

C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}


Using this, we can find c:

\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{92.9^{\circ}}}{c}

c = \dfrac{11\sin{92.9^{\circ}}}{\sin{39^{\circ}}} \approx \boxed{17.5}


c is approximately 17.5.

8 0
3 years ago
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gladu [14]

Answer:

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Step-by-step explanation:

8 0
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myrzilka [38]
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4 years ago
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4x^2 +3x-11y+17
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Answer:

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Step-by-step explanation:

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