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4 years ago

The number of dogs in a city is declining at a rate of about .08% each

Mathematics

1 answer:

MrRissso [65]4 years ago

6 0

Answer:

There will be 3472 cats in 10 years

Step-by-step explanation:

There were 3500 cats

The number of dogs in a city is declining at a rate of about 0.08% each year.

We are supposed to find the no. of cats in 10 years

Formula : $N(t)=N_0(1-r)^t$

Where N(t) = Remaining cats after t days

$N_0$ = Initial population

r = rate of depreciation

t=time

So, No. of cats remained after 10 years = $3500(1-\frac{0.08}{100})^{10}=3472.100$

Hence There will be 3472 cats in 10 years

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Math what is the range of the absolute value function

alexdok [17]

Answer:

The choose C.

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8 0

3 years ago

Consider a triangle ABC like the one below. Suppose that a =53, b=18, and A=130º. (The figure is not drawn to scale.) Solve the

ddd [48]

Answer:

B = 15.1°, C = 34.9°, c = 39.6

Step-by-step explanation:

law of sines

53/sin 130 = 18/sin B

sin B = .26; B = 15.1°

C = 180 - 15.1 - 130 = 34.9°

c/sin 34.9 = 53/sin 130

c = 39.6

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3 years ago

Find each number. Round to the nearest tenth if necessary

Pavel [41]

Answer:

96
6.9
25%
8%
79
33.8

Step-by-step explanation:

Here is the complete question: Find each number. Round to the nearest tenth if necessary.

80% of 120.
115% of 6
What percent of 128 is 32?
3 is what percent of 36?
23.7 is 30% of what number?
71/2% of what is 12?

1) 80% of 120

= $\frac{80}{100} \times 120= 8\times 12$

= 96

∴ 80% of 120= 96

2) $115\%\ of\ 6$

= $\frac{115}{100}\times 6= 1.15\times 6$

∴ $115\%\ of\ 6$ = 6.9

3) What percent of 128 is 32?

= $\frac{32}{128} \times 100$

= $25\%$

4) 3 is what percent of 36?

= $\frac{3}{36} \times 100$

= $8\%$

5) 23.7 is 30% of what number?

Let the number be "x".

⇒ $\frac{30}{100} \times x= 23.7$

Cross multiplying

⇒ $x= \frac{23.7\times 100}{30}$

∴ x= 79.

6) 71/2% of what is 12?

Lets assume the required number be "x".

⇒ $\frac{71}{2} \times 100\times x= 12$

cross multiplying both side.

⇒x= 33.8

∴ 71/2% of 33.8 is 12

6 0

3 years ago

Find the perimeter and are of the trapezoid

lara31 [8.8K]

Answer:

47.7ft

Step-by-step explanation:

12.8ft+6.2ft+13.9ft+15.5ft=47.7ft

8 0

2 years ago

Cos ( α ) = √ 6/ 6 and sin ( β ) = √ 2/4 . Find tan ( α − β )

Zina [86]

Answer:

$\purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}$

Step-by-step explanation:

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8 0

3 years ago