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3 years ago

7

If $1,100 is deposited into a savings account offering 11% interest paid annually, approximately how much money will be in the a

ccount in 10 years?
$12,100
$11,000
$3,123
$1,227

2 answers:

Leona [35]3 years ago

5 0

A=1,100×(1+0.11)^(10)
A=3,123.36

maw [93]3 years ago

5 0

Answer:

C $3,123 this is the answer in odisyware.

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A rectangle has sides in the ratio 1:3 a)Write down the length of the longer side of the length of the shorter side is: (i) 1 cm

Lera25 [3.4K]

(i) The length of the longer side is 3 cm

(ii) The length of the longer side is 6 cm

(iii) The length of the longer side is 15 cm

Step-by-step explanation:

A rectangle has sides in the ratio 1 : 3, we need to find the length of the longer side if:

The length of the shorter side is 1 cm
The length of the shorter side is 2 cm
The length of the shorter side is 5 cm

Let us use the ratio method to solve the problem

(i)

∵ The ratio of the two sides of the rectangle is 1 : 3

∵ The length of the shorter side is 1 cm

→ Shorter : Longer

→ 1 : 3

→ 1 : x

By using cross multiplication

∴ 1 × x = 1 × 3

∴ x = 3

∵ x represents the length of the longer side

∴ The length of the longer side = 3 cm

The length of the longer side is 3 cm

(ii)

∵ The ratio of the two sides of the rectangle is 1 : 3

∵ The length of the shorter side is 2 cm

→ Shorter : Longer

→ 1 : 3

→ 2 : x

By using cross multiplication

∴ 1 × x = 2 × 3

∴ x = 6

∵ x represents the length of the longer side

∴ The length of the longer side = 6 cm

The length of the longer side is 6 cm

(iii)

∵ The ratio of the two sides of the rectangle is 1 : 3

∵ The length of the shorter side is 5 cm

→ Shorter : Longer

→ 1 : 3

→ 5 : x

By using cross multiplication

∴ 1 × x = 5 × 3

∴ x = 15

∵ x represents the length of the longer side

∴ The length of the longer side = 15 cm

The length of the longer side is 15 cm

Learn more:

You can learn more about the ratio in brainly.com/question/4302397

#LearnwithBrainly

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3 years ago

Can someone explain me how to find square root by prime factorization ?

liubo4ka [24]

Answer:

<h2><u>STEPS</u></h2>

Step I: Obtain the given number.
Step II: Resolve the given number into prime factors by successive division.
Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors.
Step IV: Take one factor from each pair.
Step V: Find the product of factors obtained in step IV.
Step VI: The product obtained in step V is the required square root.

<h2><u>Example </u></h2>

<u> Find the square root of 324</u>

324 = 2 x 162
= 2 x 2 x 81
= 2 x 2 x 3 x 27
= 2 x 2 x 3 x 3 x 9
= 2 x 2 x 3 x 3 x 3 x 3
∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 )
√324 = 2 x 3 x 3
√324 = 18

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4 years ago

Population mean = 80

alexira [117]

Answer:

The answer is : 0.0597

Step-by-step explanation:

Population mean = μ = 80

Standard deviation = σ = 20

Sample = N = 60

σ_mean = σ/√N

= (20)/√(60) = 2.582

Now we will find z1 and z2.

z1 = {(84) - μ}/σ_mean = ${(84)-(80)}/(2.582)= 1.549$

z2 = {(88) - μ}/σ_mean = ${(88)-(80)}/(2.582)= 3.098$

Now probability that the sample mean will be between 84 and 88 is given by:

Prob{ (1.549) ≤ Z≤ (3.098) } = (0.9990) -(0.9393) = 0.0597

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3 years ago

Ned walks 6 tenths of a mile to school.Fred walks 9 tenths of a mile to school.who walks farther?.Explain

FromTheMoon [43]

Fred. .9 is larger than .6 therefore, Fred walked a longer distance.

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3 years ago

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A window frame has a length of (5x + 3) inches and a width of (x + 6) inches. The area of the glass in the window is (4x2 + 26x

Darya [45]

Answer:

x^2 + 7x + 3 in^2.

Step-by-step explanation:

The area of the whole frame = (5x + 3)(x + 6)

= 5x^2 + 33x + 18

So the area of the rim = 5x^2 + 33x + 18 - (4x^2 + 26x + 15)

= x^2 + 7x + 3 in^2.

8 0

3 years ago

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