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Sonbull [250]
3 years ago
6

You have a $9000 bond that earns 3% interest compounded quarterly. How much is the bond word at 6 years?

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

Answer:

$10,667.66

Step-by-step explanation:

The formula for calculating the compound interest is expressed as:

A = P(1+r/n)^nt

P is the principal = $9000

r is the rate = 3%

time t = 6years

n = 1/4

Substitute

A = 9000(1+0.03/(1/4))^6/4

A = 9000(1+0.03(4))^1.5

A = 9000(1+0.12)^1.5

A = 9000(1.12)^1.5

A = 9000(1.1853)

A = 10,667.67

Hence the amount after 6 years is $10,667.66

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Veronika [31]
COMBINE LIKE TERMS
2x10+5x+80000x

(2x10)+(5x+80000x)


ANSWER
(2 x 10) + (5 x 1) + (8 x 1 10,000) = 2x10+80005x

4 0
4 years ago
A fine fabric was selling for $10.50 per half yard. Joni bought 2 1/3 yards. How much did he spend? Brainliest for correct answe
Alinara [238K]

Answer:

45.5

Step-by-step explanation:

First you would find 1/3 third of 10.50 and it is 3.5, you would then do 10.50 x 4 since it said 10.50 per half a yard, so you would do times 4 and you would get 42, you would then add 42 + 3.5 which equals 45.5.

8 0
3 years ago
Read 2 more answers
An engineer is designing a roller coaster. The tallest peak is 310 feet high.
rusak2 [61]
<h2>Hello!</h2>

The answer is:

The slope of the hill is equal to 2.

<h2>Why?</h2>

To solve the problem, we need to remember that the slope of a line, is the rate of increase or decrease of the line.

From the statement we know that the tallest peak of the roller coaster is 310 feet (y), while the roller coaster travels 155 horizontal feet (x), so, calculating we have:

Slope=\frac{height}{base}=\frac{y}{x}

Then, substituting the given information and calculating, we have:

Slope=\frac{310ft}{155ft}=2

We have that the slope of the hill is equal to 2.

Have a nice day!

4 0
3 years ago
A. Find PR in the diagram <br> b. Find the perimeter of quadrilateral PQRS
Elan Coil [88]

Answer:

Step-by-step explanation:

The quadrilateral has 4 sides and only two of them are equal.

A) to find PR, we will consider the triangle, PRQ.

Using cosine rule

a^2 = b^2 + c^2 - 2abcos A

We are looking for PR

PR^2 = 8^2 + 7^2 - 2 ×8 × 7Cos70

PR^2 = 64 + 49 - 112 × 0.3420

PR^2 = 113 - 38.304 = 74.696

PR = √74.696 = 8.64

B) to find the perimeter of PQRS, we will consider the triangle, RSP. It is an isosceles triangle. Therefore, two sides and two base angles are equal. To determine the length of SP,

We will use the sine rule because only one side,PR is known

For sine rule,

a/sinA = b/sinB

SP/ sin 35 = 8.64/sin110

Cross multiplying

SPsin110 = 8.64sin35

SP = 8.64sin35/sin110

SP = (8.64 × 0.5736)/0.9397

SP = 5.27

SR = SP = 5.27

The perimeter of the quadrilateral PQRS is the sum of the sides. The perimeter = 8 + 7 + 5.27 + 5.27 = 25.54 cm

6 0
3 years ago
Explain the difference between using the cosine ratio to solve for a missing angle in a right triangle versus using the secant r
Pani-rosa [81]

Answer:

<u>Cosine is:</u>

  • cos x = adjacent leg / hypotenuse

<u>Secant is:</u>

  • sec x = hypotenuse / adjacent leg

or

  • sec x = 1/cos x

Both refer to the same (adjacent) angle therefore cosine is used more often than secant.

4 0
3 years ago
Read 2 more answers
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