a. 7/25
b. 7/24
c. 24/25
d. 24/7

Answer:

23

Step-by-step explanation:

its 23 beacuase 1104 divided by 48 is 23 so its 23 chips

Answer: 23

Step-by-step explanation: 1,104 divided by 48 = 23

Answer:

113 degrees

Step-by-step explanation:

To find the supplement angle, subtract 67 degrees from 180 degrees

180 - 67 = 113 degrees

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The amount of money in the account after 3 years would be $828.

To determine the amount of money in the account after 3 years, we need to find the number of times the money doubles in a period of 3 years, given that it doubles every 7 years. To find this, we divide 3 by 7 to get the number of doubling periods which is approximately 0.4286. Since the money doubles every 7 years, we multiply the initial investment of $690 by 2 raised to the power of 0.4286 to find the final amount.

Using the formula A = P(1+r)^n, where A is the final amount, P is the initial investment, r is the interest rate per period, and n is the number of periods, we have P = $690, r = 100% (as the money doubles), and n = 0.4286. Substituting these values into the formula, we get A ≈ $827.84. Hence, the amount of money in the account after 3 years, to the nearest dollar, would be $828.

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Final answer:

To calculate the future value of an investment that doubles every 7 years after 3 years, we use the exponential growth formula with an annual interest rate determined by the Rule of 70, resulting in approximately $918.

Explanation:

To determine how much money will be in the account after 3 years given that the amount doubles every 7 years, we can use the formula for exponential growth. The formula is A = P(1 + r/n)nt, where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (as a decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.

Since the money doubles every 7 years, the effective annual interest rate 'r' that would cause this can be found using the Rule of 70. The Rule of 70 states that to find the number of years required to double the money at a given interest rate, you divide 70 by the annual interest rate. Here, we have that number already (7 years), so we can rearrange to find the interest rate: rate = 70 / time to double. Therefore, the interest rate is 70 / 7, which equals 10% or 0.10 as a decimal.

However, we are looking for the amount after 3 years, not 7. Thus, we need to adjust our formula to account for this shorter time period:

A = P(1 + r)^t
A = 690(1 + 0.10)^3
A = 690(1.331)
A ≈ $918

So, after 3 years, the investment would grow to approximately $918, to the nearest dollar.

Answer:

See below.

Step-by-step explanation:

Where the graphs of the functions intersect it represents the number of weeks when they have both saved the same amount of money. So by solving the system we can find the number of weeks and that amount of money.

y = x^2 + 2x

y = -3x + 6 so

x^2 + 2x = -3x + 6

x^2 + 5x - 6 = 0

(x + 6)(x - 1) = 0

So x = 1  ( we ignore the negative)

So after 1 week  they have saved the same amount  and the amount is -3 + 6 = 3.

Are you sure that -3x + 6 is right - because Sarah does not save anything after year 1 . The equation has a negative slope!!

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

a) 3x5³

b) 75

Step-by-step explanation:

a) find the Prime factors of 375 by dividing your number by prime numbers (you answers must be whole) use a factor tree to help you

a) do the same to 150

one you have you answers in this case we have

375- 3x5x5x5

150 - 2x3x5x5

you collect all the like terms, this will be 3x5x5 then you just simply multiply it And it gives you 75

375 as a product of prime factors is 3x5^3 and the highest common factor of 375 and 150 is 25.

To express 375 as the product of prime factors, you must first determine the prime numbers that when multiplied together will equal 375. The prime factors of 375 are 3 and 5. So, 375 can be written as 3x5^3.

Next, to find the highest common factor of 375 and 150, you need to first find the prime factors of both numbers. As shown above, the prime factors of 375 are 3 and 5. The prime factors of 150 are 2, 3 and 5.

The highest common factor is identified by locating the largest number that can divide both numbers without leaving a remainder. The highest common factor of 375 and 150 is hence, 25 because it's the greatest factor that both numbers have in common.

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Answer:

5.5 cu ft        vol = L*w*h*  w=x L= 3x  h=3

270=  3[3x*x]

Final answer:

To find the length and width of the touch tank, we need to use the formula for the volume of a rectangular tank. By substituting the given values and solving the equation, we can find the width and length.

Explanation:

Let's assume that the width of the touch tank is x feet. So, the length of the tank would be 3x feet.

The volume of a rectangular tank is given by the formula volume = length × width × height. We can substitute the given values into this formula.

270 = (3x) * x * 3

Simplifying the equation, we get:

270 = 9x^2

Dividing both sides of the equation by 9:

x^2 = 30

Taking the square root of both sides of the equation:

x = √30 ≈ 5.48

Therefore, the width of the touch tank is approximately 5.48 feet. Since the length is three times the width, the length would be approximately 3 × 5.48 = 16.44 feet.

Answer:

D) 19.5 in^2

Step-by-step explanation:

Volume is 1/3base * height

52in^3 = 1/3x*8

multiply by 3

156in^3 = x*8

divide by 8

19.5 = x

x = 19.5

Answer:

D

Step-by-step explanation:

Answer:

3.73333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distance = 4/5 of 4 2/3

[tex]=\frac{4}{5}*\frac{14}{3}\\\\=\frac{4*14}{5*3}[/tex]

= 56/15

= 3 11/15 miles

Answer:

No

Step-by-step explanation:

this is because only 50% of the college students said they could drive there fore it doesn't make sense.

Answer:No, Micah is not correct. Since there are equal numbers in the group that drive and the group that doesn’t drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.

Step-by-step explanation: its on e2020

Answer: a) 1060, b) [tex]\dfrac{61}{167}[/tex]

Step-by-step explanation:

Since we have given that

Number of boys = 870

Number of girls = 800

Probability that a boy chosen studies Spanish = [tex]\dfrac{2}{3}[/tex]

Probability that a girl chosen studies Spanish = [tex]\dfrac{3}{5}[/tex]

So, the number of boys in the school who study Spanish would be

[tex]\dfrac{2}{3}\times 870=290\times 2=580[/tex]

So, the number of girls in the school who study Spanish would be

[tex]\dfrac{3}{5}\times 800\\\\=3\times 160\\\\=480[/tex]

So, total number of students who study Spanish would be :

[tex]480+580=1060[/tex]

b) What is the probability, as a fraction in its simplest form, that a student

chosen at random from the whole school does not study Spanish?

​Number of students who do not study Spanish would be:

[tex](870+800)-1060\\\\=1670-1060\\\\=610[/tex]

So, the probability of students who does not study Spanish would be :

[tex]\dfrac{610}{1670}=\dfrac{61}{167}[/tex]

Hence, a) 1060, b) [tex]\dfrac{61}{167}[/tex]

There are 1060 students who study Spanish in the school. The probability that a student chosen at random from the whole school does not study Spanish is 610/1670.

To work out the number of students in the school who study Spanish, we need to find the number of boys and girls who study Spanish and add them together. The probability that a boy chosen at random studies Spanish is 2/3. So the number of boys who study Spanish is 870 * (2/3) = 580. The probability that a girl chosen at random studies Spanish is 3/5. So the number of girls who study Spanish is 800 * (3/5) = 480. Therefore, the total number of students who study Spanish is 580 + 480 = 1060.

To find the probability that a student chosen at random from the whole school does not study Spanish, we subtract the probability that a student does study Spanish from 1. The probability that a student does study Spanish is 1060 (students who study Spanish) divided by 1670 (total number of students in the school). Therefore, the probability that a student does not study Spanish is 1 - (1060/1670) = 610/1670, which is already in its simplest form.

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Answer:

Yes

Step-by-step explanation:

The order of the factors does not alter the product

Yes because of your property’s

Answer:

the answer is c

Step-by-step explanation:

Answer:

The answer is -3x because the red tiles represent -x so since there are 3 -x tiles the answer would be -3x

The first term of the geometric  sequence is 0.0061

Step-by-step explanation:

The general form of geometric  sequence is a, ar, ar²,ar³,.......

where,

The formula to find the nth term of the geometric sequence is given by :

⇒ [tex]n_{th} term = ar^{n-1}[/tex]

⇒ [tex]8_{th}term = a\times4^{8-1}[/tex]

⇒ [tex]100 = a \times 4^{7}[/tex]

⇒ [tex]100 = a \times 16384[/tex]

⇒ [tex]a = \frac{100}{16384}[/tex]

⇒ a = 0.0061

Therefore, the first term of the geometric  sequence is 0.0061

Answer:

The first term of the geometric  sequence is 0.0061

Step-by-step explanation:

k is the variable for the translations on the Y-axis so if u move the graph 5 units down then k would be 5

Answer:

k=5

Step-by-step explanation:

Final answer:

The percent increase of the waterpark's entry fee is approximately 30.36%, which is calculated by finding the difference between the new and original cost, dividing by the original cost, and then converting that number to a percentage.

Explanation:

To calculate the percent increase of the entry fee to the waterpark, we need to follow these steps:

Step 1: The increase in cost is $73 - $56 = $17 per person.

Step 2: The increase divided by the original cost is $17 ÷ $56 ≈ 0.30357.

Step 3: To find the percent increase, we multiply the result from step 2 by 100: 0.30357 × 100 ≈ 30.36%.

Therefore, the percent increase of the entry fee is approximately 30.36%.

To find the percent increase in the entry fee, subtract the old fee from the new fee, divide by the old fee, and multiply by 100. The entry fee increase is approximately 30.36%.

To find the percent increase in the entry fee, you need to calculate the difference between the new fee and the old fee, and then divide that difference by the old fee. Finally, multiply the result by 100 to get the percentage.

The entry fee increase is approximately 30.36%.

Answer:

f(2) = 25

Step-by-step explanation:

Given

f(x) = [tex](5)^{x}[/tex]

To evaluate f(2) substitute x = 2 into f(x)

f(2) = [tex](5)^{2}[/tex] = 25

Answer:

First time : 1/6

Second time : 1/6

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Since it is a six-sided die, you will roll every number at least one time, making the answer 1/6

Answer:

it's a glass ball r = 3 inches

Step-by-step explanation:

edgenutiy

Answer:

glass ball 3 inches ( ;  (  :

Step-by-step explanation:

Which sphere has a volume of approximately 113.1 cubic inches?

Glass ball: r = 3 inches

A glass ball.

Soccer ball: r = 4 inches

A soccer ball.

     Lamp: d = 10 inches

A round lamp.

Answer: 193 faulty paint sprayers

Step-by-step explanation: 5/10 is = to 1/2 so half of them are faulty

next divide 365 by 2 to get 192.5 remember if the decimal is 5 or greater you can round up since you cannot have half a paint sprayer you have to round up to 193 paint sprayers

hope this helps mark me brainliest if it helped

Answer:

8 people

Step-by-step explanation:

step1:move 8.50 to the other side

228.50=8.50+27.50x

220=27.50x

step 2:find x by dividing

220=27.50x

x=8

hope this helps,mark me brainliest.

There are 8 people who attended the park.

To solve the problem, let's define the variables and write an equation. Let x be the number of people who attended. The total cost is the sum of the parking fee plus the admission fees.

The parking fee is $8.50, and the admission fee per person is $27.50. Therefore, the total cost can be expressed as:

Total Cost = Parking Fee + (Admission Fee per Person * Number of People)

This simplifies to:

$228.50 = $8.50 + $27.50 * x

First, subtract the parking fee from the total cost:

$228.50 - $8.50 = $27.50 * x

$220 = $27.50 * x

Now, divide both sides by the admission fee per person to find x:

x = $220 / $27.50

x = 8

Thus, 8 people attended the park.

Answer:

It depends

Step-by-step explanation:

There is no problem attached and it depends on the problem.

Answer:

Step-by-step explanation:

Answer:

[tex]y = \frac{3\cdot (x+1)}{x+1}[/tex]

Step-by-step explanation:

A rational function with no vertical asymptotes contains an avoidable discontinuity, an example is presented hereafter:

[tex]y = 3[/tex]

[tex]y = 3\cdot 1[/tex]

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

[tex]y = \frac{3\cdot (x+1)}{x+1}[/tex]

Answer:

x = 14

Step-by-step explanation:

-2(x-5)-4=-22

Distribute

-2x +10 -4 = -22

Combine like terms

-2x+6 =-22

Subtract 6 from each side

-2x+6-6 = -22-6

-2x = -28

Divide each side by -2

-2x/-2 = -28/-2

x = 14

Answer:

A

Step-by-step explanation:

Just square all of them to find 64

The square roots of 64 are -8 and 8. Neither 32 nor 64 1/2 are square roots of 64.

The square root of a number is a value that, when multiplied by itself, gives the original number. When dealing with real numbers, remember that a number can have two square roots: a positive root and a negative root.

For the number 64, we know 8 * 8 equals 64, so 8 is a square root. As a negative number multiplied by a negative number results in a positive number, -8 * -8 also equals 64. Therefore -8 is also a square root of 64.

Option A, -8, and B, '(64) 1/2' or -8, are correct. The square root of 64 is not 32 and 64 1/2.

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Do I choose A or B?

If so: B

Answer:

-28 1/3

Step-by-step explanation:

Answer:

-1 ; no

Step-by-step explanation:

5 x -3 + 2 x 7 = -1

And since -1 is not zero the vector will not be perpendicular

Answer:

C on edge

Step-by-step explanation: