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2 years ago

4.

Mathematics

2 answers:

chubhunter [2.5K]2 years ago

5 0

Answer:

Step-by-step explanation:

we mulitiply $0.08 by our money spent,

$0.08X$100

=$8 in sales tax.

romanna [79]2 years ago

3 0

Answer:

It will be $8

Step-by-step explanation:

100x0.08=8

100+8=108

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A pendulum is set swinging. its first oscillation is through 30 and each succeeding oscillation is through 95% of the angle of t

Marat540 [252]

<u>Answer-</u>

<em>After 76 swings</em><em> the angle through which it swings less than 1°</em>

<u>Solution-</u>

From the question,

Angle of the first of swing = 30° and then each succeeding oscillation is through 95% of the angle of the one before it.

So the angle of the second swing = $(30\times \frac{95}{100})^{\circ}$

Then the angle of third swing = $(30\times (\frac{95}{100})^2)^{\circ}$

So, this follows a Geometric Progression.

$(30,\ 30\cdot \frac{95}{100},\ 30\cdot (\frac{95}{100})^2............,0)$

a = The initial term = 30

r = Common ratio = $\frac{95}{100}$

As we have to find the number swings when the angle swept by the pendulum is less than 1°.

So we have the nth number is the series as 1, applying the formula

$T_n=ar^{n-1}$

Putting the values,

$\Rightarrow 1=30(\frac{95}{100})^{n-1}$

$\Rightarrow \frac{1}{30} =(\frac{95}{100})^{n-1}$

Taking logarithm of both sides,

$\Rightarrow \log \frac{1}{30} =\log (\frac{95}{100})^{n-1}$

$\Rightarrow \log \frac{1}{30} =(n-1)\log (\frac{95}{100})$

$\Rightarrow -1.5=(n-1)(-0.02)$

$\Rightarrow 1.5=(n-1)(0.02)$

$\Rightarrow n-1=\dfrac{1.5}{0.02}$

$\Rightarrow n-1=75$

$\Rightarrow n=76$

Therefore, after 76 swings the angle through which it swings less than 1°

8 0

2 years ago

Graph the function.<br> y = 3 square root x

s2008m [1.1K]

Answer:

x=3×3

Step-by-step explanation:

ok it's fine if you don't mind

8 0

2 years ago

Colin invests £1500 into a savings account. The bank gives 4% compound interest for the first 3 years and 5% thereafter. How muc

fomenos

1500(1+0.04)^3 = 1687.30

1687.30(1+0.05) = 1771.67 to the nearest pound: 1772

6 0

2 years ago

Eva bought 3 rainbow trout for dinner. They weighed 3 Ib 5 oz, 2 Ib 12 oz, and 3 Ib 8 oz. She cut off the heads and the tails an

Y_Kistochka [10]

The amount of waste is 22 oz

<h3>How to determine the waste amount?</h3>

The weights of the 3 rainbow trouts are:

3 Ib 5 oz, 2 Ib 12 oz, and 3 Ib 8 oz.

The total weight is:

Total = 3 Ib 5 oz + 2 Ib 12 oz + 3 Ib 8 oz

Evaluate the sum

Total = 8 Ib 25 oz

The amount she was left with is 8 Ib 2 oz

Subtract this amount from the total

Waste = 8 Ib 25 oz - 8 Ib 2 oz

Evaluate

Waste = 22 oz

Hence, the amount of waste is 22 oz

Read more about sum and difference at:

brainly.com/question/10739762

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8 0

1 year ago

An animal shelter has 8 puppies. If the puppies are 32% of the total dog and cat population, how many dogs and cats are in the a

velikii [3]

Answer:

8 dog/cat

Step-by-step explanation:

one dog/cat is worth 8.5% 8 puppies divided by 32% = 8.5. 8.5 x 8 =68 100% - 32% is 68% divided by 8.5 equals 8

if this helped pls mark brainliest. and 5 star

3 0

2 years ago