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3 years ago

I need help answering this question..

Mathematics

1 answer:

Irina-Kira [14]3 years ago

7 0

Answer:

$x=3$

Step-by-step explanation:

Given: $15=7x-6$

To solve this equation, we need to isolate $x$ on one side of the equation algebraically. I see that we have like terms, but they are on opposite sides of the equal sign. Let's add $6$ to both sides.

$21=7x$

To isolate x, divide both sides by 7.

$x=3$

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If $300 is invested at a rate of 6% per year and is compounded quarterly, how much will the investment be worth in 12 years?

MAXImum [283]

Answer:

$613.04

Step-by-step explanation:

<em>Compound Interest Formula:</em>

$A = P(1+\frac{r}{n})^{nt}$

n = number of compounds

t = time

r = interest rate

P = principle amount (original amount)

A = final amount

Since it's compounded quarterly, that means there will be 4 compounds per year, so n=4. The interest rate has to be converted to the decimal value, and this is done by simply dividing it by 100 to get r=0.06.

Plug Values into equation:

$A = 300(1+\frac{0.06}{4})^{12*4}$

Simplify inside parenthesis

$A = 300(1.015)^{48}$

Calculate exponent

$A \approx 300(2.043478)$

Multiply values

$A \approx 613.04348$

Round

$A = 613.04$

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2 years ago

What is the probability of rolling a sum of 2 on a standard pair of six-sided dice? Express your answer as a fraction or a decim

loris [4]

1/6 times 1/6 = 1/36

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3 years ago

In circle R with m angle QRS= 90 and QR= 3 units find the length of arc QS round to the nearest hundredth

Advocard [28]

Answer:

4.71 units

Step-by-step explanation:

The formula for arc length =

2πr × θ/360

From the above question,

r = QR = 3 units

θ = angle QRS= 90 = 90°

The length of the arc is calculated as:

2 × π × 3 × 90/360

= 4.7123889804 units

Approximately to the nearest hundredth = 4.71 units

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Lesechka [4]

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3 years ago

I need help answering this question..​

I need help answering this question..