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evablogger [386]
2 years ago
12

Angles A and B are complementary. If cos A = 7x − 9 and sin B = 4x + 15, what is the value of x?

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
5 0

The value of x according to the described angles is; 8

<h3>Complementary angles</h3>

If two angles A and B are complementary, it follows that A + B = 90 and Cos A = Sin B.

From the statement above, it follows that;

  • 4x + 15 = 7x -9

Collect like terms;

  • 15 +9 = 7x - 4x

  • 3x = 24

Divide both sides by 3;

x = 24/3 = 8.

Read more on complementary angles;

brainly.com/question/16281260

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What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is
motikmotik

The amount will be equal to $1348.07. The correct option is A.

<h3>What is compound interest?</h3>

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

\rm A = P(1+\dfrac{r}{n})^{nt}

Compound Interest Formula:

A = Account Balance

P = Principle/Initial Amount

r = Rate of Interest (decimal)

n = Number of times compounded (per year)

t = Number of Years

Given Information

Account Balance = ?

It is given that the balance after 15 years in a savings account earns 2% interest compounded bi-monthly when the initial deposit is 1000.

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

Number of years = 15

Solve by plugging the given values into the formula.

\rm A = P(1+\dfrac{r}{n})^{nt}

\rm A = 1000(1+\dfrac{0.02}{6})^{6 \times 15}

A = 1000 x (1.14)

A = $1348.07.

Therefore, the amount will be equal to $1348.07. The correct option is A.

To know more about Compound interest follow

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#SPJ1

3 0
2 years ago
Helpp hurrryyyyyyyyyy​
FromTheMoon [43]

Answer:

N=10

Step-by-step explanation:

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