Assessment started: undefined. Item 1 Rosa buys a bag of cat food for $6.75 and a pack of cat treats for $1.89. How much money does Rosa spend altogether? Enter your answer in the box

Final answer:

To calculate the population after 5 years at a 2% growth rate, you apply the formula for exponential growth, resulting in an estimated population of 5512 to the nearest whole number.

Explanation:

To calculate the population of a town after 5 years with a 2% annual growth rate, you would use the formula for exponential growth. In this case, the initial population is 5000 and the growth rate is 0.02 (2%). The population after n years is given by the formula P(n) = P(0) × (1 + r)ⁿ, where:

After 5 years, the formula will look like this:

P(5) = 5000 × (1 + 0.02)⁵

Calculating the above:

To the nearest whole number, the population of the town after 5 years will be 5512.

Answer:

50 = blank

Step-by-step explanation:

Step 1:  Cross multiply

5/10 = ?/100

5*100 = 10?

500 / 10 = 10? / 10

50 = ?

Answer:  50 = blank

90 in terms of pi is [tex]\frac{\pi}{2}[/tex] .

Step-by-step explanation:

We know that ,

We have to convert 90 in terms of pi i.e. degree to radians:

⇒ [tex](90)\frac{\pi }{180}[/tex]

⇒ [tex]\frac{90 }{180}(\pi)[/tex]

⇒ [tex]\frac{1 }{2}(\pi)[/tex]

⇒ [tex]\frac{\pi}{2}[/tex]

Therefore, 90 in terms of pi is [tex]\frac{\pi}{2}[/tex] .

Answer:whats the expression

Step-by-step explanation:

Explanation:

Answer:

Everything except lawn care.

Answer:

c=8+15h

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

GCF of 9 and 18 is 9. I hope it helps. Srry of the last mishap and i hope you accept my apology.

Answer:

  non-proportional

Step-by-step explanation:

7/8 is a fraction

A proportion is a relation that says two ratios are equal. A fraction is one ratio, so is not a proportion.

___

Something may be proportional to something else with a scale factor of 7/8. It seems some context may be missing from the question.

Answer:

K = 4

Step-by-step explanation:

If y varies directly as x

y = k x

Divide both sides by by x

K = y/x

When y = 32 and

x = 8

K = 32/8

K = 4

Answer: 1.3 meters taller. so 103 cm.

Step-by-step explanation:

Answer:

103cm

Step-by-step explanation:

From the question given, we obtained the following data:

Height of the boy = 97cm

Height of the elder brother = 2m

First let us convert the height of the elder brother to cm. This is illustrated below:

1m = 100cm

2m = 2 x 100 = 200cm

So, the elder brother is 200cm tall. To know how much taller the elder brother is than the boy, subtract the height of the boy from that of the elder bother' as shown below:

200 — 97 = 103cm

Therefore, the elder brother is 103cm taller than the boy

Answer:

Step-by-step explanation:

x/5=6/3

3x=30

x=10

Answer:

x=10

Step-by-step explanation:

x*1/5 = 6/3

Simplify 6/3 =2

1/5x = 2

Multiply each side by 5

1/5x *5 = 2*5

x = 10

Answer:

Quotient given:

\frac{6-3 \sqrt[3]{6} }{ \sqrt[3]{9} }

Answer:

2 \sqrt[3]{3} - \sqrt[3]{18}

Explanation:

1) Rationalize by multiplying numerator and denominator by         \sqrt[3]{9}

2)

\frac{6-3 \sqrt[3]{6} }{ \sqrt[3]{9} } \frac{\sqrt[3]{9}}{\sqrt[3]{9}}

3) Due the operations

\frac{6 \sqrt[3]{3}-3 \sqrt[3]{6.3}}{ \sqrt[3]{27} }

\frac{6 \sqrt[3]{3}-3 \sqrt[3]{6.3}}{ 3 }=2 \sqrt[3]{3} - \sqrt[3]{18}

Step-by-step explanation:

Answer:

0.01

Step-by-step explanation:

1/100=0.01

Answer: 0.01

Step-by-step explanation:

Answer:

See Step-by-step explanation

Step-by-step explanation:

[tex]y=mx+b\\y-b=mx\\x=\frac{y-b}{m}[/tex]

Answer:

B

Step-by-step explanation:

This is very simple if we understand a point of linear and exponential functions.

First of all, a linear growing function increases.

An exponential growing function increases as well.

But, linear function, no matter what the slope is, grows at a CONSTANT RATE. But,

Exponential function grows at a COMPOUND RATE.

So, if there are 2 functions, linear and exponential, the exponential will always exceed the linear, AT SOME POINT EVENTUALLY because of the growth factor (no matter growth factor of linear and exponential -- whatever they are).

So,

B is the correct answer.

Growth factor of each (both) doesn't matter. Exponential will always win!

Answer:

b

Step-by-step explanation:

The exponential function will always exceed the linear function.A quantity increasing exponentially eventually exceeds a quantity increasing linearly.

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you forgot to write the relation so I could help you providing my own relation.

Remember that for any relation, we have a set [tex]A[/tex] that matches the the domain (also called the set of inputs) of the function and the set [tex]B[/tex] that contains the range (also called the set of outputs).

Suppose our relation is:

[tex]y=-10+x \\ \\ For \ x=1,2,3,4,5[/tex]

So the x-values represents the set A and the y-values the set B. Therefore, by evaluating the x-values into our relation we get:

[tex]\text{If x=1} \\ \\ y=-10+1=-9 \\ \\ \\ \text{If x=2} \\ \\ y=-10+2=-8 \\ \\ \\ \text{If x=3} \\ \\ y=-10+3=-7 \\ \\ \\ \text{If x=4} \\ \\ y=-10+4=-6 \\ \\ \\ \text{If x=5} \\ \\ y=-10+5=-5[/tex]

So in this context, the correct option is:

B) (-9,-8, -7, -6, -5}

Answer:

the answer is b

Step-by-step explanation:

i took the test

Answer: 2-1 / y times y/ 3+1

Step-by-step explanation:

In dividing fractions, it is possible to change the sign to multiplication sign by swapping positions of the numerator and denominator.

For example given,

a/b divided by c/d,

We can write this as

a/b times d/c

To simplify the given complex fraction [tex]\(\frac{{2 - \frac{1}{y}}}{{3 + \frac{1}{y}}}\),[/tex]we'll first rationalize the fractions in the numerator and denominator.

For the numerator:

[tex]\[2 - \frac{1}{y} = \frac{2y}{y} - \frac{1}{y} = \frac{2y - 1}{y}\][/tex]

For the denominator:

[tex]\[3 + \frac{1}{y} = \frac{3y}{y} + \frac{1}{y} = \frac{3y + 1}{y}\][/tex]

So, the original complex fraction becomes:

[tex]\[\frac{\frac{2y - 1}{y}}{\frac{3y + 1}{y}} = \frac{2y - 1}{3y + 1}\][/tex]

Therefore, the equivalent expression to the given complex fraction is option d. (2y-1)(3y+1).

Answer:

4

Step-by-step explanation:

10= 6 + 4

Carry over the 6 to the 10 and make e the subject on the right hand side of the equation as shown below:

10 - 6 = e

4= e

Therefore e is 4.

Answer:

e = 4

Step-by-step explanation:

Check the answer by subtraction.

10 - 6 = 4

Or use fact families to check the answer

6 + 4 = 10

4 + 6 = 10

10 - 6 = 4

10 - 4 = 6

Answer:

400 in²

Step-by-step explanation:

(20×16) + (½×8×20)

320 + 80 = 400 in²

Answer:

[tex]\$487.48[/tex]

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=10\ years\\ A=\$1,000\\ r=7.25\%=7.25/100=0.0725\\n=4[/tex]  

substitute in the formula above

[tex]1,000=P(1+\frac{0.0725}{4})^{4*10}[/tex]  

[tex]1,000=P(\frac{4.0725}{4})^{40}[/tex]

[tex]P=1,000/(\frac{4.0725}{4})^{40}[/tex]

[tex]P=\$487.48[/tex]

Answer:

9 months

Step-by-step explanation:200+30m=470

30m=270

m=9

He will pay for 9 months

Yoryi will make payments for 9 months.

To determine the number of months (m) Yoryi needs to make payments, we can solve the equation 200 + 30m = 470. Here's how:

Therefore, Yoryi will make payments for 9 months.

Answer:

  TRUE

Step-by-step explanation:

If this is a True/False question, the answer is True.

__

One of the ways to define triangle similarity is by the ratios of the sides. If the ratios of corresponding sides are the same, the triangles are similar.

Another way to define triangle similarity is by the angle measures. If corresponding angles are congruent, the triangles are similar.

Both conditions will be met by similar triangles.

Step-by-step explanation:

dy/dt = (A − Be^(-t/5)) y

(a) Find the general solution by separating the variables and integrating.

dy / y = (A − Be^(-t/5)) dt

dy / y = [A + 5B (-⅕ e^(-t/5))] dt

ln |y| = At + 5B e^(-t/5) + C

y = e^(At + 5B e^(-t/5) + C)

y = Ce^(At + 5B e^(-t/5))

(b) As t approaches infinity, dy/dt approaches Ay.  The rate of growth, A, is triple the initial rate of growth 0.02, so A = 0.06.

When t = 0, dy/dt = (A − B)y.  The rate of growth, A−B, is 0.02.  We know A = 0.06, so B = 0.04.

(c) Given that A = 0.06, B = 0.04, and y(0) = 50×10⁶ − 10×10⁶ = 40×10⁶:

40×10⁶ = Ce^(0.06(0) + 5(0.04) e^(-0/5))

40×10⁶ = Ce^(0.2)

C = 40×10⁶ e^(-0.2)

y = 40×10⁶ e^(-0.2) e^(0.06t + 0.2 e^(-t/5))

y = 40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5))

(d) If A = 0.02 and B = 0, and there is no transformation (y(0) = 50×10⁶), then:

50×10⁶ = Ce^(0.02(0) + 0)

50×10⁶ = C

y = 50×10⁶ e^(0.02t)

Comparing to the answer from part (c):

40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5)) = 50×10⁶ e^(0.02t)

e^(-0.2 + 0.04t + 0.2 e^(-t/5)) = 5/4

-0.2 + 0.04t + 0.2 e^(-t/5) = ln(5/4)

-5 + t + 5e^(-t/5) = 25 ln(5/4)

t + 5e^(-t/5) = 5 + 25 ln(5/4)

Solve with a calculator:

t = 9.886

The transformed economy surpasses the untransformed economy in the 10th year.

(e) In year t=5, the size of the transformed economy is:

y = 40×10⁶ e^(-0.2 + 0.06(5) + 0.2 e^(-5/5))

y = 47.6×10⁶

The percent growth is:

(47.6×10⁶ − 40×10⁶) / 40×10⁶ × 100% = 19%

The growth rate is greater than 4%, so the current government can expect to be reelected.

Answer:

that's easy just with your number line put then to least to greatest

Ans is -48.

Hope this will help u..

Answer:

it's a base of 18 hope it works

Answer:80 pie

Step-by-step explanation: