For the geometric sequence, find the two missing terms between 5 and 1/25

Kristina made the investment of $10,500 at 11% and $18,000 at 13% in each account, after one year if the the total interest was $3,495.00.

Let x be the amount invested at 11% and y be the amount invested at 13%.

The sum of the amounts is the total amount invested, which is $28,500.

Therefore, we have:

x + y = 28,500

We are also given that the total interest earned after one year is $3,495.

We can use the simple interest formula:

I = Prt,

where I is the interest,

P is the principal,

r is the interest rate as a decimal,

and t is the time in years. For the 11% account, we have:

I₁ = 0.11x(1) = 0.11x

For the 13% account, we have:

I₂ = 0.13y(1) = 0.13y

The sum of the interests is equal to $3,495, so we have:

0.11x + 0.13y = 3,495

Multiplying the first equation by 0.11, we get:

0.11x + 0.11y = 3,135

Subtracting this equation from the second equation, we get:

0.02y = 360

Dividing both sides by 0.02, we get:

y = 18,000

Substituting this into the first equation, we get:

x + 18,000 = 28,500x = 10,500

Therefore, Kristina invested $10,500 at 11% and $18,000 at 13%.

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Answer:

A.) 6:51

B.)The train at 6:42

C.)34 minutes

Since the question explicitly stated that ice production is proportional to time, we're going to have to use proportion fractions. Remember to convert hours into minutes as well.

The given equation is

First, we subtract 3x on each side

Second, we subtract 5 on each side

At last, we divide the equation by -8

The probability of rolling exactly a 1 when a dice is picked randomly from two 4-sided dice and three 6-sided dice is 0.4 or 40%.

To calculate the probability of rolling exactly a 1 when a dice is picked randomly from two 4-sided dice and three 6-sided dice, we need to determine the total number of dice and the number of dice that have a 1 as a possible outcome.

There are two 4-sided dice and three 6-sided dice, so the total number of dice is 2 + 3 = 5.

Out of these five dice, we need to determine how many have a 1 as a possible outcome.

Among the two 4-sided dice, there is only one die (out of two) that has a 1 as a possible outcome.

Among the three 6-sided dice, there is also one die (out of three) that has a 1 as a possible outcome.

Therefore, there are a total of two dice that have a 1 as a possible outcome.

The probability of rolling exactly a 1 when a dice is picked randomly is calculated by dividing the number of favorable outcomes (two dice) by the total number of possible outcomes (five dice):

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 2 / 5

Probability = 0.4

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Answer:

67

Step-by-step explanation:

67

Answer: A i think but im so to sure

Step-by-step explanation: im taking the test rn and ill come back after and see if its right or wrong

Answer:

\(2x^2+8x-7\)

Step-by-step explanation:

\((3x-4)(x+4)-(x+3)(x-3) \\ \\ =(3x^2+8x-16)-(x^2-9) \\ \\ =3x^2+8x-16-x^2+9 \\ \\ =2x^2+8x-7\)

Answer:(-3,-9)

Step-by-step explanation:

Answer:

18.75

Step-by-step explanation:

Answer:

The correct answer would be A.) 3 1/4 or 3.25.

Step-by-step explanation:

I just did the test on edge 2020

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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The probability considering both the fire alarm and the tornado siren going off is 0.2%, under the condition that the probability of the fire alarm going off is 10% and the probability of the tornado siren going off is 2%.

The probability considering both the events happening is the product of their individual probabilities. Then the events are called independent of each other, we could multiply the probabilities to get the answer.
P(Fire alarm goes off) = 10% = 0.1
P(Tornado siren goes off) = 2% = 0.02
P(Both fire alarm and tornado siren go off) = P(Fire alarm goes off) × P(Tornado siren goes off)
= 0.1 × 0.02
= 0.002

Hence, the probability of both the fire alarm and the tornado siren going off is 0.002 or 0.2%.
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Answer:

68 miles

Step-by-step explanation:

Answer: is it B?

Step-by-step explanation:

The Area Ratio is 1.5. and Perimeter Ratio is 1.22. The estimated overall cost for the proposed 15,000 SF warehouse is $150,000.

To perform a line by line estimate for the proposed warehouse, we'll calculate the area and perimeter ratios between the existing and proposed warehouses. We'll then use these ratios to estimate the overall cost for the proposed 15,000 square feet (SF) warehouse.

Given: Existing Warehouse:

Area: 10,000 SF

Perimeter: 410 LF

Proposed Warehouse:

Area: 15,000 SF

Perimeter: 500 LF

First, let's calculate the area ratio:

Area Ratio = Proposed Area / Existing Area

Area Ratio = 15,000 SF / 10,000 SF

Area Ratio = 1.5

Next, let's calculate the perimeter ratio:

Perimeter Ratio = Proposed Perimeter / Existing Perimeter

Perimeter Ratio = 500 LF / 410 LF

Perimeter Ratio = 1.22 (rounded to two decimal places)

We'll now use these ratios to estimate the overall cost for the proposed 15,000 SF warehouse. Since we don't have specific cost figures, we'll assume a linear relationship between the area and cost.

Cost Estimate = Existing Cost * Area Ratio

Let's assume the existing cost is $100,000.

Cost Estimate = $100,000 * 1.5

Cost Estimate = $150,000

Therefore, the estimated overall cost for the proposed 15,000 SF warehouse is $150,000.

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The value of SS for this population cannot be determined with the given information.

The sum of squares (SS) for a population is calculated by summing the squared differences between each individual score and the population mean.

However, the given information provides the population standard deviation (σx = 12) and the population variance (σx^2 = 54), but it does not provide the population mean (μ).

Without the population mean, we cannot accurately calculate the value of SS. Therefore, the value of SS for this population cannot be determined based on the given information.

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Answer:

No because the given numbers do not satisfy the equation a² + b² = c²

Answer:

No, because the given numbers satisfy the equation a^2+b^2=c^2.

Step-by-step explanation:

The Pythagorean triple 2, 3, 4. We can put it in our formula, a^2+b^2=c^2. So, that will equal:

2^2+3^2=4^2

(4+9.....16)?

And 4+9=13, which does not equal 16. So No, because the given numbers satisfy the equation a^2+b^2=c^2 is correct.

If you liked this solution, be sure to hand out a Brainliest. Thank you so much.

DUBS, Signing off.

Step-by-step explanation:

3^-5= 1/3^5

9^-3=1/9^3

3^-4=1/3^4

Answer:

Step-by-step explanation:

3^-5 = 1/ 3 ^5 = 1/243

9^-3 = 1/9^3    = 1 /729

3^-4 = 1/3^4

For any number which has a negative power there will be a 1 as the numerator and the number with its power as the denominator

Area Principle. In a statistical display, each data value should be represented by the same amount of area. Bar chart (Relative Frequency Bar Chart)

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

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Answer:

Okay, let's break this down step-by-step:

* Kiran drove 250 mi from Tortula to Cactus.

* So we need to find her speed on that portion of the trip.

* The total trip time was 11 hours.

* From Cactus to Dry Junction (360 mi trip) her speed increased by 10 mi/h.

* So if her speed increased by 10 mi/h, we can call her original speed from Tortula to Cactus = x mi/h

* Then her speed from Cactus to Dry Junction = x + 10 mi/h

* In 11 hours she drove:

** 250 mi from Tortula to Cactus (at speed x mi/h)

** 360 mi from Cactus to Dry Junction (at speed (x + 10) mi/h)

* So:

** 250 / x = time from Tortula to Cactus (in hours)

** 360 / (x + 10) = time from Cactus to Dry Junction (in hours)

* And:

** time from Tortula to Cactus + time from Cactus to Dry Junction = 11

* Solving this:

250 / x + 360 / (x + 10) = 11

610 / x + 36 = 11

x = 24

So Kiran's speed from Tortula to Cactus was 24 mi/h.

Let me know if you have any other questions!

Answer:

15$

Step-by-step explanation:

Answer:

x = 10.931 or round to x = 11

Step-by-step explanation:

Answer:

13 units

Step-by-step explanation:

I GOTCHU ANKLE BREAKER

Answer:

it is easy it is 3833

Step-by-step explanation:

The money saved by Raj from the given conditions is $950.

Given that, Raj, Devi and Miko have managed their savings well.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The ratio of Devi to Miko's savings is 3:11.

So, Devi's saving is 3x and Devi to Miko's savings is 11x.

The sum of Raj and Devi's savings is $1181. Raj and Miko's savings sum up to $1797.

Let y be the Raj's saving.

Now, y+3x=1181 --------(I) and y+11x=1797 --------(II)

From equation (I), y=1181-3x

Substitute y=1181-3x, in equation (II), we get

1181-3x+11x=1797

⇒ 8x=1797-1181

⇒ 8x=616

⇒ x=616/8

⇒ x=77

So, y=1181-3x=1181-231

=$950

Hence, the money saved by Raj from the given conditions is $950.

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If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

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Answer:

2x = 7y

Step-by-step explanation:

2 Yogurts = $7

4 Yogurts = $14

6 Yogurts = $21

8 Yogurts = $28

10 Yogurts = $35

Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

Answer:

B. 68 square cm

Step-by-step explanation:

0.5 x 6 x 5 = 15

5 x 7 = 35

9 x 2 = 18

15+35+18 =68

The pairs of triangles that are similar are △jkl ~ △abc and their corresponding angles are congruent.

The fact that, When two triangles are comparable, their corresponding sides have a proportional ratio and their corresponding angles have a congruent relationship.

In this issue

△jkl ~ △abc

Because the proportion between its corresponding sides

Verify

CA/LJ=BC/KL

replace the specified values

14/7=20/10

2=2 >>>>> is correct

so

The proportion between the corresponding sides is linear.

therefore △jkl ~ △abc are similar.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

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Answer: b & e

Step-by-step explanation: cuz

15 -(2+5) 2 =

15 -7 +2 = 10

the answer is 10