Consider the sequence 60, 53, 46, 39, 32, 25, ...
The common difference of this sequence is
Select one
formula for the sequence is

The tenth term for this sequence is
Select one

[tex]\text{Simple interest formula:}\\\\A=P(1+rt)\\\\\text{Plug in your given values:}\\\\A=12,500(1+0.04(3))\\\\\text{Solve:}\\\\A=12,500(1+0.04(3))\\\\A=12,500(1+0.12)\\\\A=12,500(1.12)\\\\A=14,000\\\\\boxed{\$14,000}[/tex]

Sophia will earn $14, 000 in interests after 3 years.

The fee you pay to borrow money or the fee you charge to lend money is called interest. The most common way to represent interest is as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

We have,

Sophia invests $12,500 in an account.

R= 4%

Time= 3 years

So, Amount = P(1+ rt)

A = 12500 (1 + 0.04(3))

A = 12500 ( 1 + 0.12)

A = 12500 + 1.12

A = $14, 000

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Answer:

B) It decreases 22% per year.

Step-by-step explanation:

We are given that The value, v(.r), of his  portfolio can be modeled with the function : [tex]y(x) = 30,000(0.78)^x[/tex]

Where x is the number of years since he made his investment.

Formula :[tex]P(1-r)^t=A[/tex]

Where P = Principal

r = rate of decrease

t = time

A = Amount after t years

So, On comparing

P = 30000

t=x

A=y(x)

[tex]1-r=0.78[/tex]

[tex]\Rightarrow 1-0.78=r[/tex]

[tex]\Rightarrow 0.22=r[/tex]

So, r = 0.22

r=22%

So, Rate of decrease is 22%

So, Option B is true,

It decreases 22% per year.

Answer:

Step-by-step explanation:

If the sequence is being multiplied, for instance:

1, 2, 4 ,8 ,16

It is being multiplied by 2 every term.

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Answer:

15

Step-by-step explanation:

An isosceles triangle has equal base angles.

Hence,

[tex] 3x=5x-30\\

\implies 30=2x\\

\implies x=15[/tex]

Answer:

C

Step-by-step explanation:

Well all triangles need to be equal to 180°. When you substitute a, b, and d in for x, the result are bigger than 180 not including the 3rd angle. With C the angles equal 45° and 45° angle which leave the appropriate sized angle for the 3rd angle at 90°. So x is equal to 15.

Answer:

D x+9 = 2x+1

Step-by-step explanation:

y = x+9

y = 2x+1

Substitute x+9  for y in the second equation

y = 2x+1

x+9 = 2x+1

This answers the question

To finish the problem

Subtract x from each side

x+9-x =2x-x+1

9 = x+1

Subtract 1 from each side

9-1 =x+1-1

8=x

Now find y

y = x+9

y = 8+9

y=17

the answer is B: 24

i know it

Answer:

it would be 0.25

Step-by-step explanation:

I think the answer would be 0.19

(Hope this helps!)

The correct option is c. 637 cm is not equal to 63.7 mm.

To solve this problem, we need to convert each of the given units to millimeters (mm) and then compare them to 63.7 mm.

a. [tex]\(6.37 \times 10^4 \, \mu m\)[/tex] to mm:

Since 1 mm = \(1 \times 10^3 \, \mu m\), we have

\[6.37 \times 10^4 \, \mu m \times \frac{1 \, mm}{1 \times 10^3 \, \mu m} = 63.7 \, mm\]

This is equal to 63.7 mm.

b. [tex]\(6.37 \times 10^{-5} \, km\)[/tex] to mm:

Since 1 km = [tex]\(1 \times 10^6 \, mm\)[/tex], we have

[tex]\[6.37 \times 10^{-5} \, km \times \frac{1 \times 10^6 \, mm}{1 \, km} = 63.7 \, mm\][/tex]

This is also equal to 63.7 mm.

c. 637 cm to mm:

Since 1 cm = 10 mm, we have

[tex]\[637 \, cm \times \frac{10 \, mm}{1 \, cm} = 6370 \, mm\][/tex]

This is not equal to 63.7 mm.

d. 0.637 dm to mm:

Since 1 dm = 100 mm, we have

[tex]\[0.637 \, dm \times \frac{100 \, mm}{1 \, dm} = 63.7 \, mm\][/tex]

This is equal to 63.7 mm.

Therefore, the only option that is not equal to 63.7 mm is 637 cm.

Answer:

136

Step-by-step explanation:

15 plus 2 is 17,then multiplied by 8

The final simplified expression is 2 over the square root of 5, represented as  [tex]\( \frac{2}{\sqrt{5}} \).[/tex]

Let's break it down step by step:

1. Simplify the square roots:

[tex]- \(\sqrt{4}\) equals 2 because \(2 \times 2 = 4\). So, \(\sqrt{4} = 2\).[/tex]

  - We have [tex]\(\sqrt{5}\)[/tex] in the denominator, which cannot be simplified further because 5 is a prime number and doesn't have any perfect square factors.

2. Substitute the simplified square roots:

  - After simplifying [tex]\(\sqrt{4}\)[/tex] to 2, the expression becomes [tex]\(\frac{3 \times 2}{3\sqrt{5}}\).[/tex]

3. Cancel out the common factor:

  - Both the numerator and the denominator have a factor of 3. So, we can cancel out 3 from both sides:

[tex]\[\frac{3 \times 2}{3\sqrt{5}} = \frac{2}{\sqrt{5}}\][/tex]

4. Final simplification:

  - The expression [tex]\(\frac{2}{\sqrt{5}}\)[/tex] is simplified as far as it can go because the square root of 5 cannot be simplified further.

So, the simplified expression is [tex]\(\frac{2}{\sqrt{5}}\).[/tex]

Answer:

(13×14×6)/3= 364 centimeter cube

I answered wrongly cuz forgot to divide by 3

my mistake

Answer:

4263m^3

Step-by-step explanation:

So for number 2, that is a right rectangular pyramid. The formula is lwh/3.

The length is 21, the width is 21, and the height is 29. So the volume is 4263.

Answer: 6 x 10^12

Step-by-step explanation:

Move the decimal to the left so there is one non-zero digit number left of the decimal point. This will be the exponent placed on 10

Answer:

$2.34

Step-by-step explanation:

Cost of 4 boxes

The cost of 4 boxes must be the difference between the total and the strawberries

total-strawberries

12.25-2.89=9.36

4 boxes costs $9.36

Cost of 1 box

You bought 4 boxes for $9.36, and each box costs the same, so we can divide the cost by the number of boxes

cost/boxes

9.36/4=2.34

Each box of cereal costs $2.34

Answer:

$2.34

Step-by-step explanation:

So first you have to subtract 2.89 from 12.25. then you should get 9.36. After you get that you have to divide 9.36 by 4 because there are 4 boxes of cereal and we need to know how much is the cost of one box of cereal. ONce you get that the answer would be $2.34.

Answer:

pls mark me brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 109

Step-by-step explanation:

In pentagons, the total degrees for the interior angles is always 540 degrees.

540 = 91 + 160 + 100 + 80 + x

540 = 431 + x

109 = x

I hope this helped!

Answer:

Step-by-step explanation:

50 - 31 = 19

38%

The difference between the area of the large pizza (20-inch diameter) and the small pizza (12-inch diameter) is about 201.06 square inches. We calculated this by finding the area of each pizza using the formula for the area of a circle, and then subtracted the smaller area from the larger.

The subject of this question is Mathematics, specifically the concept of area for circles. To calculate the difference between the areas of the two pizzas, we first have to find the area of each pizza individually.

The formula for the area of a circle is A = πr^2, where r is the radius of the circle. For the large pizza with a diameter of 20 inches, the radius is 20/2=10 inches, so its area would be A = π * (10^2) = 314.16 square inches.

For the smaller pizza with diameter of 12 inches, the radius is 12/2 = 6 inches. So, the area of the small pizza is A = π * (6^2) = 113.10 square inch.

Now, to get the difference between the two areas, we subtract the smaller area from the larger area: 314.16 square inches - 113.10 square inches = 201.06 square inches. This is the difference between the area of the large pizza and the small pizza.

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The science quiz has a higher percentage of correct answers.

To determine which quiz has a higher percent of correct answers, we need to calculate the percentage of correct answers for each quiz.

Science Quiz:

Math Quiz:

Comparison

The science quiz has a higher percentage of correct answers (76%) compared to the math quiz (75%).

Answer: The correct answer is 74˚

Answer:

4

Step-by-step explanation:

Answer:

The answer is C. (2,1)

Step-by-step explanation:

We know angle P is 90 degrees because of Thales Theorem, and angle N is 60 degrees. Because the angles in a triangle have to add up to 180 degrees, angle PMN has to be 30 degrees.

Angle QMO is half of angle PMN, so it's 15 degrees. Angle MQO is equal to angle QMO because the radii make Triangle OQM isosceles, so angle MQO is 15 degrees.

Answer:

yes this is right

Step-by-step explanation:

the triangle MOQ is icosceles and angle O is 150 degrees so that leaves 30/2... 15.

Answer:i really dont know but i think it 27.5

Step-by-step explanation:

i think i've answered this before dont trust mee

Answer:

∠ A = 68°

Step-by-step explanation:

The sum of the interior angles of a kite = 360°

The opposite angles A and C are congruent

360° - (123 + 101)° = 360° - 224° = 136°

Thus since ∠ A = ∠ C, then

∠ A = [tex]\frac{136}{2}[/tex] = 68°

Answer:

You are winning

Step-by-step explanation: If you drop in $2 a day for 10 weeks you have spent $20. You have won $75 from the slots which leaves you with a gain of $55.

Answer:

$260

Step-by-step explanation:

you multiply $65 by 4 for the set of four and the product is $260.

Answer:

A set of 4 tires cost $260.

Step-by-step explanation:

It is given that each tire is sold for $65. In order to find a set of 4 tires, you have to multiply it by 4 :

1 tire = $65

4 tires = $65×4

= $260

Answer:

BC = 15.01

Step-by-step explanation:

Solve this question using a trigonometry ratio, which you can remember them all with SohCahToa, which says:

sinθ = opp / hyp

cosθ = adj / hyp

tanθ = opp / adj

θ means the "angle of reference" (angle we are talking about).

In this problem, θ is A = 65°,

To decide which trig. ratio to use, find out which sides we want to use. We will use AC = 7 because we know it.

We also use BC because we need to find it.

In relation to ∠A or θ, AC is adjacent and BC is opposite.

The ratio with adjacent and opposite is tangent.

tanθ = opp / adj              Substitute the variables for this question

tanA = BC / AC               Substitute the values you know

tan65° = BC / 7               Rearrange this and isolate C

BC = 7tan65°                  Multiply 7 and tan65 to find the missing side

BC = 15.011548......          Exact answer on your calculator

BC ≈ 15.01                       Round to nearest hundredth

Multiply equation B by 3 and add the result to

equation A.

Option 2 is correct

Multiply equation B by 3 and add the result to A

When we are given two equations we can solve them by eliminating one variable, and equating the value of one variable to another or by using a matrix.

If we want to eliminate y in the given equation we will, LCM of (9,3) is 9 we can multiply B by 3 and add to A.

Hence Option 2 is correct.

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Answer:

1/6

1/6

1/36

Independent

Step-by-step explanation:

Make a chart with 36 outcomes of a pair of six sided dice.

Count the amount that starts with 4, which is 6. 6/36 = 1/6

Doubles. Count the pairs, basically both numbers are the same. 6 outcomes out of total is 1/6.

Last one.

(1/6)^2 = 1/36

These are independent, because the first die landing on 4 doesn't have anything to do with making the die becoming doubles.

Answer:

18

Step-by-step explanation:

mode is the number that occurs the most

Answer:

18

Step-by-step explanation:

I just identified the numbers and saw 18 the most

Answer:

Step-by-step explanation:

The wording "a rate proportional to its size" is an indication that growth (or decay) is exponential.

1) For many problems involving exponential growth, I like to use the numbers given in the problem statement as follows.

  population = (initial population) × (growth factor)^(t/(growth period))

where the "growth period" is the period of time in which the population is multiplied by the "growth factor".

Here, we're given ...

  (initial population) = 400

  (growth factor) = 800/400 = 2

  (growth period) = 2 . . . . hours

So, our population function can be written as ...

  P(t) = 400×2^(t/2)

__

2) Putting t=8 into the formula, we get ...

  P(8) = 400×2^(8/2) = 400×16 = 6400

After 8 hours, the population will be 6400.

__

3) Fill in the given number and solve for t.

  2270 = 400×2^(t/2)

  2270/400 = 2^(t/2)

Taking logs, we have ...

  log(227/40) = (t/2)log(2)

  t = 2×log(227/40)/log(2) ≈ 5.009

After 5.0 hours, the population will reach 2270.