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3 years ago

6

Can someone help me real quick?

1 answer:

Tpy6a [65]3 years ago

4 0

3,400×(1+0.04)^(7)=4,474.17

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What is the value of x?

Elanso [62]

Since all the angles are congruent, the sides must be congruent too.

So, just have one equation on one side equal to another.

5x= 3x+6

Subtract 3x from both sides.

2x=6

Divide 2 into both sides.

x=3.

We can check this by seeing if all the sides are the same.

5(3)= 15

6(3)-5= 15

3(3)+6= 15

I hope this helps!
~cupcake

7 0

3 years ago

What is the value of y in the sequence below?<br> 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

<u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

<u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

Maria has added 4 liters of pure water to 4 liters of a 20% sugar syrup. What is the concentration of the resulting solution?

rusak2 [61]

The concentration of the resulting syrup is 10 liters.

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3 years ago

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Taven mixes 18 liters of 14% acid solution with a 35% acid solution, which results in 23% acid solution.

miv72 [106K]

(0.35x + 0.14 * 18) / y = 0.23
x + 18 = y

4 0

3 years ago

In the diagram below, ab and bc are tangent to o. what is the measure of adc

Andrej [43]

Answer:

Step-by-step explanation: 252 apex

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3 years ago

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