An animal shelter currently has 40 cats in it. Next month they expect the number of cats to increase by 15% over the number this month. Which of the following is the number of cats they expect next month

Answer:

3750

Step-by-step explanation:

Simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex] ( P is the principal, R is rate of interest and T time in years )

Here P = 25000, R = 5 and T = 3 , thus

I = [tex]\frac{25000(5)(3)}{100}[/tex]

  = [tex]\frac{375000}{100}[/tex]

  = 3750

Answer:

πxd

Step-by-step explanation:

162 cow-days

Since the initial grass and the grass accumulated over 4 days is equal to 144 cow-days, the initial grass is equal to (144 − 36) or 108 cow-days. Now, to find the answer to the question: in 18 days, the grass accumulation is equal to 18 ∗ 9 or 162 cow-days.

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Using the principle of proportional relationship, it will take 20 cows 7.2 days.

Setting up the relationship thus :

36 cows = 4 days

Hence, if they eact at the same rate ;

1 cow = 36 × 4 = 144 days

Hence, for 20 cows, it will take;

144 days ÷ 20

= 7.2 days

Hence, 20 cows will feed on the grass for 7.2 days

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Answer:

The value of "c" represents the amount of change that Pablo will receive

Step-by-step explanation:

If you pay 9.79 in lunch with a 20 dollar bill, you would have 10.21 in change.

Let's use the equation given to us:

20.00 = c + 9.79

now let's subtract 9.97 on both sides of the equation:

20.00 - 9.79 = c + 9.79 - 9.79

we're left with:

10.21 = c

this is how much money we're left with after we pay for lunch, which is the change given to us. Therefore,

c = the amount change Pablo will have after he pays for his lunch

Answer:

C

Step-by-step explanation:

I took the test

Answer:

rip

Step-by-step explanation:

Answer:

a shirt with a color on it

Step-by-step explanation:

Answer:

Line 1: m = 2

Line 2: m = 2

The lines are parallel.

Step-by-step explanation:

First, ensure both lines are in the slope-intercept form given as y = mx + b. where m is the slope of the line.

If the slope of both lines are the same, they are parallel.

If the slope of one is the negative reciprocal of the other, they are perpendicular.

If the slope of both lines are different and one is neither the reciprocal of the other, then they are neither parallel nor perpendicular.

✍️Line 1, y = 2x + 5, is already in the slope-intercept form.

✅The slope of Line 1 is 2

✍️Line 2, y - 3 = 2(x + 15), is in point-slope.

We can decide to rewrite in the slope-intercept form or directly determine the slope as it is given. The slope is 2. But to be sure, let's rewrite as y = mx + b.

y - 3 = 2(x + 15)

y - 3 = 2x + 30

Add 3 to both sides

y = 2x + 33

✅As we can see, the slope of line 2 is 2.

✍️Line 1 and line 2 has the same slope of 2, therefore the lines are parallel.

Answer:

6

Step-by-step explanation:

Answer:

just multiply 3,4,and 6 by 6, and divide 43.75 by 6

Step-by-step explanation:

hipe this helps :]

Answer:

4lbs = 25

6lbs = 37.5

7lbs = 43.75

Step-by-step explanation:

your welcome

Answer:

9/4

Step-by-step explanation:

Answer:

oh wenlocktoad is a game developer on reblax

Answer:  -7s=1

Step-by-step explanation: Hope this helps

btw can i have brainliest?

The question is incomplete. Here is the complete question.

Uninhibited growth can be modeled by exponential functions other than [tex]A(t)=A_{0}e^{kt}[/tex]. for example, if an initial population P₀ requires n units of time to triple, then the function [tex]P(t)=P_{0}(3)^{\frac{t}{n} }[/tex] models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.

a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form [tex]P(t)=P_{0}(3)^{\frac{t}{n} }[/tex] that models the population.

b) What will the population be in 47 days?

c) When wil the population reach 750?

d) Express the model from part (a) in the form [tex]A(t)=A_{0}e^{kt}[/tex].

Answer: a) [tex]P(t)=50(3)^{\frac{t}{30} }[/tex]

              b) P(t) = 280 insects

              c) t = 74 days

             d) [tex]A(t)=50e^{0.037t}[/tex]

Step-by-step explanation:

a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is

[tex]P(t)=50(3)^{\frac{t}{30} }[/tex]

b) In t = 47 days:

[tex]P(t)=50(3)^{\frac{t}{30} }[/tex]

[tex]P(47)=50(3)^{\frac{47}{30} }[/tex]

[tex]P(47)=50(3)^{1.567}[/tex]

P(47) = 280

In 47 days, population of insects will be 280

c) P(t) = 750

[tex]750=50(3)^{\frac{t}{30} }[/tex]

[tex]\frac{750}{50}=(3)^{\frac{t}{30} }[/tex]

[tex](3)^{\frac{t}{n} }=15[/tex]

Using the property Power Rule of logarithm:

[tex]log(3)^{\frac{t}{30} }=log15[/tex]

[tex]\frac{t}{30}log(3)=log15[/tex]

[tex]t=\frac{log15}{log3} .30[/tex]

t = 74

To reach a population of 750 insects, it will take 74 days

d) To express the population growth into the described form, determine the constant k, using the following:

A(t) = 3A₀ and t = 30

[tex]A(t)=A_{0}e^{kt}[/tex]

[tex]3A_{0}=A_{0}e^{30k}[/tex]

[tex]3=e^{30k}[/tex]

Use Power Rule again:

[tex]ln3=ln(e^{30k})[/tex]

[tex]ln3=30k[/tex]

[tex]k=\frac{ln3}{30}[/tex]

k = 0.037

Equation for exponential growth will be:

[tex]A(t)=50e^{0.037t}[/tex]

Answer: 12. X = 14

Step-by-step explanation:

10x + 17 = 87 + 5x

10x = 70 + 5x

5x = 70

X = 14

Answer:

Albert is 24. Albert's father is 48

Step-by-step explanation:

Answer:

Step-by-step explanation:

X+y=8

X=2y-8

Answer:

8 lions 15 tigers

Step-by-step explanation:

Answer:

Ooh man, this was back in geometry I think, I think the answer is 4 if my calculations are correct.

i think the bigger side is twice the size of the smaller side, so 2 times 8 is 16,

16 = 5x - 4

x = 4

Answer:

-30

Step-by-step explanation:

To find slope, subtract two y's and then subtract the x's in the same order.

12-(-18)=30=-30

11-12       -1

You could also switch the order like this...

-18-12=-30=-30

12-11      1

As you can see, both of the ways of solving for slope resulted in -30.

Hope this helps!! Have a great day :3

Answer:

The answer is $14.6 for the plain paper and $14.12

Step-by-step explanation:

I think i'm probably wrong but 6+9= 15 so 219 divided by 15 is 14.6 so thats answer 1 and 12+13=25 and 353 divided by 25 is 14.12

:p sorry if im incorrect

Answer: The first answer for 6 of wrapping paper and 9 wrapping paper is $7.30. The second answer for 12 wrapping paper and 13 rolls of SHINY wrapping paper is $4.38.

Step-by-step explanation:

Answer:

Numbers less than 25 is answer

Answer:

Step-by-step explanation:  for 8 thirds use the long lines to count back from 5 to 0 then once u get 0 use the little lines to get to 8 thirds towards 5 and do the same for -11 thirds but towrds -5

Answer:

the area would be "4x2+9+12x"

sorry if this doesn't help :(

Step-by-step explanation:

Answer:

Answer given in the photo

Answer: I think its 117 sorry if im

wrong

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Given:

Two complex numbers are [tex]w_1=-2+3i[/tex] and [tex]w_2=4-4i[/tex].

To find:

The complex number that can be added to [tex]w_1[/tex] to produce [tex]w_2[/tex].

Solution:

Let complex number [tex]z=[/tex] is added to [tex]w_1[/tex] to produce [tex]w_2[/tex].

[tex]w_1+z=w_2[/tex]

[tex]z=w_2-w_1[/tex]

On substituting the values, we get

[tex]z=(4-4i)-(-2+3i)[/tex]

[tex]z=4-4i+2-3i[/tex]

Combine like real and imaginary parts.

[tex]z=(4+2)+(-4-3)i[/tex]

[tex]z=6+(-7)i[/tex]

[tex]z=6-7i[/tex]

Therefore, the correct option is C.

Answer:

Marco earned $2.25.

Step-by-step explanation:

1. If Marco sold 12 cups of lemonade for 3$, we would divide 12 cups and how much he earned from the 12 cups (3$). 12/3 = 4

2. By the end of the day, Marco earned $9. So, 4 cups = 1$. To break it down, 1$ = 100 cents and 100 cents divided by 4 is 25 cents.  Cups to Cost. ( 4 : 1 ) and/or ( 1 : 0.25 )

3. 8 cups = 2$ plus 1 cup (0.25) = 2.25.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer:

Kaycee did not keep lemonade and dollars in corresponding positions in the ratios of the proportion. The proportion should be 12/3=c/9 or it could be written 3/12=9/c. Dollars should be in the same position and cups should be in the same position across ratios.

Step-by-step explanation:

This was the example answer

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Complete question is;

Justin has a crate that is 8 feet long, 2 feet wide, and 3 feet tall. Decide whether each of the crate sizes described below has the same volume as Justin’s crate.

a. 9 feet long, 1 foot wide, 4 feet tall

b. 8 feet long, 2 feet wide, 2 feet tall

c. 4 feet long, 4 feet wide, 3 feet tall

d. 8 feet long, 3 feet wide, 3 feet tall

e. 6 feet long, 2 feet wide, 4 feet tall Answer:

Options C & E have the same volume as Justin's crate.

Step-by-step explanation:

We are told Justin has a crate that is 8 feet long, 2 feet wide, and 3 feet tall.

Thus, original volume is;

V_o = 8 × 2 × 3 = 48 ft³

A) For a dimension of 9 feet long, 1 foot wide, 4 feet tall , volume is;

V_a = 9 × 1 × 4 = 36 ft³

B) For a dimension of 8 feet long, 2 feet wide, 2 feet tall, volume is;

V_b = 8 × 2 × 2 = 32 ft³

C) For a dimension of 4 feet long, 4 feet wide, 3 feet tall, volume is;

V_c = 4 × 4 × 3 = 48 ft³

D) For a dimension of 8 feet long, 3 feet wide, 3 feet tall, volume is;

V_d = 8 × 3 × 3 = 72 ft³

E) For a dimension of 6 feet long, 2 feet wide, 4 feet tall, volume is;

V_e = 6 × 2 × 4 = 48 ft³

Looking at all the options, the only ones that given a volume equal to Justin's original volume are options C & E.

-2x

Step-by-step explanation:

Answer:

x=5, 20

Step-by-step explanation:

2x-3=7

+3 both sides

2x=10

÷2 both sides

x=5

4(5)=20