You rent an apartment that costs $1300 per month during the first year, but the rent
is set to go up 7.5% per year. What would be the rent of the apartment during the
10th year of living in the apartment? Round to the nearest tenth (if necessary).

Answer:

a ratio indicates how many times one number contains another.

Step-by-step explanation:

Answer:

96 cm

Step-by-step explanation:

Here are the lengths of all the sides starting with the left vertical side and moving clockwise:

Left vertical side: 17 cm

Top horizontal side: 25 cm

Right vertical side: 17 cm

Bottom horizontal side at right: 3 cm

Inside vertical side on right side: 8 cm

Inside horizontal side in middle: 11 cm

Diagonal side: 10 cm

Bottom horizontal side at left: 5 cm

-----------------------------------------------------------------------------------

Add all side lengths:

perimeter = 17 cm + 25 cm +  17 cm + 3 cm + 8 cm + 11 cm + 10 cm + 5 cm

perimeter = 96 cm

Answer:

2x^2+7x-4

Step-by-step explanation:

(2x-1)(x+4)

\(=2x^{2} + 8x-x-4\\=2x^{2} +7x-4\)

Hope this helps!

Answer:

Step-by-step explanation:

2x\(2x² + 7x - 4.\)

Answer:

150.796π square meters

maybe!

Step-by-step explanation:

Try this option:

1. the required surface area consists of: A=A₁+A₂+A₃, where

2. A₁=pi*r*l - the surface of the cone:

pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);

A₁=3.14*2*6.33=39.74 (cm²).

3. A₂=a²-pi*r² - the surface of the top plane:

A₂=36-3.14*4=23.43 (cm²).

4. A₃=5*a² - the surface of the five planes of the given cube:

A₃=5*6²=180 (cm²).

5. the required area:

A=39.74+23.43+180=243.17 (cm²).

Answer: 243.17

The present value of Mark's prize, considering the $10,000 annual payments for 10 years and the subsequent $20,000 annual payments for 30 years, with an 8% discount rate, amounts to $171,391.44.

To calculate the present value of Mark's prize, we need to determine the current worth of the future cash flows he will receive. The $10,000 annual payments for 10 years can be considered an annuity, while the subsequent $20,000 annual payments for 30 years can be viewed as a perpetuity starting from the 11th year.

First, we calculate the present value of the annuity using the formula for the present value of an ordinary annuity:

PV_annuity = \(C * [1 - (1 + r)^(-n)] / r\),

where PV_annuity is the present value of the annuity, C is the annual cash flow, r is the discount rate, and n is the number of years. Plugging in the values, we have:

PV_annuity = $10,000\(* [1 - (1 + 0.08)^(-10)] / 0.08\) = $85,394.45.

Next, we calculate the present value of the perpetuity using the formula for the present value of a perpetuity:

PV_perpetuity = C / r,

where PV_perpetuity is the present value of the perpetuity. Plugging in the values, we have:

PV_perpetuity = $20,000 / 0.08 = $250,000.

Finally, we sum up the present values of the annuity and the perpetuity to obtain the total present value:

Total present value = PV_annuity + PV_perpetuity = $85,394.45 + $250,000 = $335,394.45.

Therefore, with an 8% discount rate, the present value of Mark's prize is $171,391.44.

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Answer:

Circumference = 10\(\pi\) or 31.4

Area = 25\(\pi\) or 78.5

Step-by-step explanation:

Circumference formula is \(2\pi r\)

Plug in the radius of 5 for the equation:

\(2\pi 5\) or \(10\pi\)

Area formula is \(\pi r^{2}\)

Plug in the radius of 5 for the equation:

\(\pi 5^{2}\) or \(25\pi\)

Answer:

5x+y=23

Step-by-step explanation:

y+2=-5(x-5)

y+2=-5x+25

y=-5x+25-2

y=-5x+23

23=y-(-5x)

23=y+5x

5x+y=23

The correct answer is

2 loaves of pumpkin bread and 6 loaves of banana bread. Option C.

For the solution for the Pumpkin bread:

4 eggs

3 1/2 cups of flour

Banana bread:

1 egg

1 (0.5) cups of flour

Available ingredients:

14 eggs

16 cups of flour

Assume 2 loaves of pumpkin bread and 6 loaves of banana bread

For the solution for the Pumpkin bread:

PB=4 eggs* 2

PB= 8 eggs

PB=3 *0.5 * 2

PB = 7 cups of flour

For the solution of the Banana bread:

BB =1 *6

BB= 6 eggs

For cups

BB= 1 (0.5) * 6

BB= 9 cups of flour

In conclusion, The solution of the Total used ingredients

I=8 + 6

I= 14 eggs

For cups

IC=7 + 9

IC= 16 cups of flour

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Answer:

C 2 loaves of Pb and 6 loaves of BB

Step-by-step explanation:

We know that the answer is: Yes, the series converges.

Consider the series 1- 1/2 - 1/3 + 1/4 + 1/5 - 1/6 - 1/7 + . . . which comes in pairs. The first two terms of each pair are of opposite signs, while the remaining terms of each pair are positive. If we group these terms together, we get:

(1 - 1/2) + (-1/3 + 1/4) + (1/5 - 1/6) + (-1/7 + 1/8) + . . .

Notice that the terms in each pair cancel each other out, leaving us with a series of positive terms only. Therefore, if this series converges, the original series also converges.

To determine whether this series converges, we can use the alternating series test. This test tells us that if a series has alternating signs and its terms decrease in absolute value, then the series converges.

In this case, the terms alternate in sign and their absolute values decrease as we move further along the series. Therefore, by the alternating series test, this series converges.

Thus, the answer is: Yes, the series converges.

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Answer:

yes iam help to you. have a nice day

Answer:

A. -12 meters

B. 28 meters

C. 40 meters

Step-by-step explanation:

A. -12 meters

B. 28 meters

C. 40 meters

Step-by-step explanation:

The surface of the ocean would be 0.

Taking this into account, 12 meters below would be 0 - 12, which is -12. Therefore A's elevation would be -12.

For the sea bird, 28 meters above the surface, which is again 0, would be 0 + 28. B's elevation is 28.

Since the fish is 12 meters below the surface and the sea bird is 28 meters above the surface, simply add the two numbers up to get a total of 40 meters. C would be 40 meters.

Symmetric and asymmetric cryptography are both used to secure data, with symmetric algorithms being faster and better suited for bulk data encryption while asymmetric algorithms provide an additional layer of security and are better suited for smaller data sets.

Symmetric cryptographic algorithms use the same key to encrypt and decrypt data, while asymmetric cryptographic algorithms use different keys to encrypt and decrypt data. Symmetric algorithms are generally faster than asymmetric algorithms, making them more suitable for bulk data encryption. Additionally, symmetric algorithms are not vulnerable to man-in-the-middle attacks.

Asymmetric algorithms, on the other hand, are more secure than symmetric algorithms since they require two different keys to encrypt and decrypt data. This makes them more difficult to break, as an attacker would need to obtain both keys. Asymmetric algorithms are also more suitable for smaller amounts of data, such as digital signatures, where the security of the data is more important than speed. However, asymmetric algorithms are vulnerable to man-in-the-middle attacks and other types of attacks that target the keys used to encrypt and decrypt data.

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(a) The doubling time of the population is approximately 13.86 years., (b) It takes approximately 23.10 years for the population to triple in size, (c) It takes approximately 27.72 years for the population to quadruple in size.

To calculate the doubling time of the population, we need to find the time it takes for the population to double from its initial value. In this case, the initial population is 9 million.

(a) Doubling Time:

Let's set up an equation to find the doubling time. We know that when the population doubles, it will be 2 times the initial population.

2P(0) = P(t)

Substituting P(t) = 9e^(0.05t), we have:

2 * 9 = 9e^(0.05t)

Dividing both sides by 9:

2 = e^(0.05t)

To solve for t, we take the natural logarithm (ln) of both sides:

ln(2) = 0.05t

Now, we can isolate t by dividing both sides by 0.05:

t = ln(2) / 0.05

Using a calculator, we find:

t ≈ 13.86

Therefore, the doubling time of the population is approximately 13.86 years.

(b) Time to Triple the Population:

Similar to the doubling time, we need to find the time it takes for the population to triple from its initial value.

3P(0) = P(t)

3 * 9 = 9e^(0.05t)

Dividing both sides by 9:

3 = e^(0.05t)

Taking the natural logarithm of both sides:

ln(3) = 0.05t

Isolating t:

t = ln(3) / 0.05

Using a calculator, we find:

t ≈ 23.10

Therefore, it takes approximately 23.10 years for the population to triple in size.

(c) Time to Quadruple the Population:

Similarly, we need to find the time it takes for the population to quadruple from its initial value.

4P(0) = P(t)

4 * 9 = 9e^(0.05t)

Dividing both sides by 9:

4 = e^(0.05t)

Taking the natural logarithm of both sides:

ln(4) = 0.05t

Isolating t:

t = ln(4) / 0.05

Using a calculator, we find:

t ≈ 27.72

Therefore, it takes approximately 27.72 years for the population to quadruple in size.

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Answer:

13

Step-by-step explanation:

f(x) = 2x - 3,

f(4) = 2(4) - 3,

f(4) = 5

g(x) = 2x^2 + 5x + 1,

g(1) = 2(1)^2 + 5(1) + 1,

g(1) = 2 + 5 + 1,

g(1) = 8

f(4) + g(1) =

5 + 8 =

13

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

Eu sou

Step-by-step explanation:

Quer ser minha amiga? TwT

Answer:

OLA TUDO BEM COM VC??

EU SOU BRASILEIRA

The critical value of f(x) = 5x⁶ - 3x⁵ is x = 0.5 which is also its maxima point

f(x) = 5x⁶ - 3x⁵

differentiation w.r.t x

=> f'(x) = 30x⁵ - 15x⁴

Putting f'(x) = 0

30x⁵ - 15x⁴ = 0

=> x⁴(30x - 15) =0

=> 30x - 15 = 0

=> x = 15/30

=> x = 0.5 , 0

Critical number is 0.5 , 0

(B) To find where f(x) is increasing

for x > 0.5 ,

(30x-15) > 0 => x⁴(30x - 15) > 0

Therefore , f(x) is increasing at ( 0.5 , ∞ )

(C)To find where f(x) is decreasing

for x < 0.5 ,

(30x-15) < 0 => x⁴(30x - 15) < 0

Therefore , f(x) is decreasing at ( -∞ , 0.5)

(D) Differentiation f'(x) again w.r.t to x

f'(x) = 30x⁵ - 15x⁴

f"(X) = 150x⁴ - 60x³

Substituting critical values of x

=> 150(0.5)⁴ - 60(0.5)³

=>9.375 - 7.5

=> -1.875 < 0 , Hence , x = 0.5 is point of maxima

(E) no point of minima

Similarly , we can solve other parts

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The cumulative frequency is the running total of the frequency; each value in the cumulative frequency column is the sum of the previous and current frequency values.

From the data on the number of children, the following can be calculated:

Table of Frequency:

No. of Children | Frequency 0 | 1 2 | 2 3 | 2 4 | 2 5 | 1

Table of Relative Frequency:

Children | Frequency | Relative Frequency 0 | 1 | 1/9 2 | 2 | 2/9 3 | 2 | 2/9 4 | 2 | 2/9 5 | 1 | 1/9

Table of Cumulative Frequency:

Child Count | Frequency | Cumulative Frequency

0 | 1 | 1 \s2 | 2 | 3 \s3 | 2 | 5 \s4 | 2 | 7 \s5 | 1 | 8

Because the cumulative frequency is the frequency's running total, each value in the cumulative frequency column is the sum of the previous and current values in the frequency column.

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Given that a is in Quadrant 2 and sin(a) =, we need to calculate the value of a. However, the value of sin(a) is missing in the question.

Please provide the value of sin(a) to proceed further. Similarly, given that B is in Quadrant 1 and tan(B) = 1, we need to calculate the exact answers for sin(2/3), cos(26), and tan(23).Here are the steps to calculate the exact answers for sin(2/3), cos(26), and tan(23):Given that B is in Quadrant 1 and tan(B) = 1:Since

tan(B) = opposite / adjacent We can assume opposite side as x and adjacent side as 1. Therefore, we get:

Tan(B) = opposite / adjacent

=> 1 = x/1

=> x = 1 Hence, the opposite side in the right triangle is 1.

Now, we can use the Pythagorean Theorem to find the adjacent side. Using the Pythagorean Theorem, we get:

hypotenuse^2 = opposite^2 + adjacent^2

=> hypotenuse^2 = 1 + 1

=> hypotenuse = √2a.

sin(2a) = sin 16/9 Given that a is in Quadrant 2, the value of cos(a) is positive and sin(a) is negative.

sin(a) = -16/9

cos(a) = sqrt(1 - sin^2(a)

= sqrt(1 - (256/81))

= sqrt(25/81)

= 5/9cos(2a)

= cos^2(a) - sin^2(a)

= (5/9)^2 - (16/9)^2

= 25/81 - 256/81= -231/81

tan(2a) = (2tan(a))/(1 - tan^2(a)

)= 2 * (-16/9) / (1 - (-16/9)^2)

= -32/145 Given that B is in Quadrant 1 and

tan(B) = 1:b. cos(26)We know that

cos(90 - 26) = sin(26) and

sin(90 - 26) = cos(26)

cos(90 - 26) = sin(26)

= sin(64)= cos(26)c. tan(23) We can use the identity

tan(2x) = 2tan(x) / (1 - tan^2(x))

tan(2*23) = tan(46)

= 2tan(23) / (1 - tan^2(23))

=> 1/tan(46) = 2/tan(23) - tan(23)

=> tan(23)

= (2 / tan(46)) + tan(46) We know that

tan(90 - 46)

= cot(46)

= cot(44)

= 1/tan(44) Substituting this value, we get

tan(23) = (2 / (1/tan(44))) + (1/tan(44))

= 2tan(44) + tan(44)

= 3tan(44)

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Answer:

Step-by-step explanation:

\(x\cdot x \\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\\\xx=\:x^{1+1}\\\\\mathrm{Add\:the\:numbers:}\:1+1=2\\\\=x^2\)

Answer:

x^2

Step-by-step explanation:

The 325.623 round to the nearest 10 is 325.6.

Rounding a number of means simplifying it while retaining its value close to what it was. The end output is less accurate but more usable. For instance, 73 rounded to the closest ten is 70, because 73 is closer to 70 than 80.

The tens' digit is the rule for rounding to the closest a hundred. If the number is five or more, round up. If the number is four or less, round down. Consider the number formed by the digits in the tens and one's columns when rounding to the nearest hundred.

To round to the next thousand, write down the multiple of 1000 closest to our number. The thousands' digit will either remain unchanged or rise by one.

Therefore, the nearest 10 is 325.6.

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Answer:

1/19

Step-by-step explanation:

Can you please mark my answer as a Brainliest.

Thanks

Answer:

1/19

Step-by-step explanation:.......the final answer 1/19

plz mark me as brainlist and give me points

Given the inequality:

This mean that 3a is less than 39.

The problem that could be solved using the inequality above is:

Three equal priced shirts came to under $39

Where a represents the shirt.

ANSWER:

B) Three equal priced shirts came to under $39

Answer:

5

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

14.3 is probability  of the variance of the number of home runs bautista is projected to hit in 100 games.

How does probability explain work?

Given: n = 100

p = 0.173

Variance = np(1-p)

= 100*0.173*0.827

= 14.3071

Therefore, the variance to two decimal places is

= 14.3.

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Answer:

5 and 5

Step-by-step explanation:

5 divided by 5 is 1

5 plus 5 is 10

Answer:

2

Step-by-step explanation: