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3 years ago

7

Omar deposited $4000 into an account with 3.3% interest, compounded semiannually. Assuming that no withdrawals are made, how muc

h will he have in the account after 5 years? Do not round any intermediate computations, and round your answer to the nearest cent.

1 answer:

Anastaziya [24]3 years ago

7 0

Answer:

4711.22

Step-by-step explanation:

$A=P(1+\frac{r}{n} )^{nt}\\\\A=4000(1+\frac{0.033}{2}) ^{2*5}\\\\A=4711.22$

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Is 1.32 a rational number or integer

Ivahew [28]

Answer:

A rational number.

Step-by-step explanation

A rational number is a ratio of whole numbers.

1/3 is the ratio of 1:3

3:1 becomes 3/1 = 3

32:10 can be written 32/10 or 16/5 or 3.2

16/5 is a rational number 16 and 5 are integers, 5 is not equal to 0.

Therefore, 3.2 which can be expressed as 16/5 is a rational number.

6 0

4 years ago

Suppose a ball is thrown upward to a height of h 0 meters. After each bounce, the ball rebounds to a fraction r of its previous

gladu [14]

Answer:

A)1st term:45

2nd term:48.75

3rd term:49.6875

4th term:49.921875

B) Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

Step-by-step explanation:

We are given;

h₀ = Initial height of the ball = 30

r = Rebound fraction = 0.25

a) The arithmetic sequence of bouncing balls is given by the following;

Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)

The first term of the sequence is;

S₁ = h₀ + 2h₀r¹

S₁ = 30 + (2 × 30 × 0.25)

S₁ = 45

The second term of the sequence is;

S₂ = h₀ + 2h₀(r¹+r²)

S₂ = 30 + (2 × 30 × (0.25 + 0.25²)) = 48.75

The third term of the sequence is;

S₃ = h₀ + 2h₀(r¹ + r² + r³) = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³)) = 49.6875

S₄ = h₀ + 2h₀(r¹ + r² + r³ + r⁴)

S₄ = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³ + 0.25⁴)) = 49.921875

B) The general expression for the nth term of the sequence is;

Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

4 0

3 years ago

Please help i will give brainliest!!

Phantasy [73]

Answer:

24 zeroes love yalll pls give brainliest

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Help ASAP. Can somebody please tell if this is the correct answer. If not put the correct answer And help me if I need to graph

RSB [31]

Answer: closed circle pointing to the right.

Step-by-step explanation:

Given that the inequality equation is

6 ( 2 - 3y ) < = 36

Open the bracket

12 - 18y < = 36

Collect the like terms

- 18y < = 36 - 12

Make y the subject of formula

The inequality sign will change the moment you multiply or divide both sides by negative numbers

Y > = - 24/18

Y > = - 4/3

That is y is greater than or equal to negative 4/3

Graphing the above inequality,

The point will be between -2 and -1. And it will be closer to -1.

The arrow will point to the right and it will be a closed circle since it is greater than or equal to.

8 0

3 years ago

Three lines of crops in a garden form a triangular shape. Strawberries are planted in a 10 ft line and green beans are planted i

Marat540 [252]

Answer:

$p = 19.18$

Step-by-step explanation:

This question is illustrated using the attachment and will be solved using cosine formula

$a^2 = b^2 + c^2 - 2bcCosA$

<em>Let the strawberry side be s, the Green beans be b and the pumpkins be p.</em>

<em />

The cosine formula in this case is:

$g^2 = s^2 + p^2 - 2spCosG$

Where

$s = 10$

$g = 18$

The equation becomes

$18^2 = 10^2 + p^2 - 2 * 10 * p * Cos\ 68$

$324 = 100 + p^2 - 20 * p * 0.375$

$324 = 100 + p^2 - 7.5p$

Collect Like Terms

$p^2 - 7.5p + 100 - 324 = 0$

$p^2 - 7.5p - 224 = 0$

Using quadratic formula:

$p = \frac{-b\±\sqrt{b^2-4ac}}{2a}$

Where

$a = 1$

$b = -7.5$

$c = -224$

$p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}$

$p = \frac{7.5\±\sqrt{56.25+896}}{2}$

$p = \frac{7.5\±\sqrt{952.25}}{2}$

$p = \frac{7.5\± 30.86}{2}$

$p = \frac{7.5 + 30.86}{2}$ or $p = \frac{7.5 - 30.86}{2}$

$p = \frac{38.36}{2}$ or $p = \frac{-23.36}{2}$

$p = 19.18$ or $p = -11.68$

But length can not be negative.

So:

$p = 19.18$

6 0

3 years ago