You invested ​$14,000 in two accounts paying 2% and 7% annual​ interest, respectively. If the total interest earned for the year was $380, how much was invested at each​ rate?

If  Health and Fitness Tyler does squats and pushups. He wants to increase the number of each type of exercise by 20% by the end of the month. The equation is 0.2(x+25)=13 and the number of squats is 40.

Let x represent  the number of squats Tyler currently have

Given the equation:

0.2(x + 25) = 13

Expanding the parentheses on the left side:

0.2x + 5 = 13

Subtracting 5 from both sides:

0.2x = 8.

Dividing both sides by 0.2 to isolate x:

x = 8/0.2

x = 40

Therefore  Tyler currently does 40 squats.

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The equivalent of a gallon (gal) is 16 cups, 8 pints, or 4 quarts. The biggest liquid measurement is this one.

The complete question is

What is the biggest measurement of liquid?

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Answer:

The class raised $45 x 23 = $1035.

Step-by-step explanation:

To find the total amount of money raised by the class:

Identify the amount raised by one student: $45.

Multiply the amount raised by one student by the number of students: $45 * 23.

The total amount raised by the class is $45 * 23 = $1035.

P(B|A) = P(A and B) / P(A) = 0.10 / 0.57 = 0.1754.

Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurring. It provides a framework for understanding the uncertainty and unpredictability of real-world events and helps to make informed decisions based on data and evidence.

The basic concept of probability is the idea that every event has a numerical value between 0 and 1, representing the likelihood of the event occurring. An event with a probability of 1 is considered certain to occur, while an event with a probability of 0 is considered impossible to occur. Events with probabilities between 0 and 1 are considered uncertain, and their likelihood of occurrence can be described using a probability distribution.

There are different methods for calculating probabilities, including classical probability, which assumes that all outcomes are equally likely, and empirical probability, which is based on actual observations of real-world events. The concept of conditional probability is also important, as it allows us to calculate the likelihood of an event occurring given the occurrence of another event.

Probability is widely used in many different fields, including science, engineering, finance, and medicine. In science, it is used to model and understand complex systems, while in engineering it is used to design and test new technologies. In finance, it is used to evaluate investments and make informed decisions, while in medicine it is used to assess the risk of diseases and evaluate the effectiveness of treatments.

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The value of interest after 3 years is  £2,304.

Borrowers must pay lenders simple interest as a fee in exchange for a loan. Compound interest is excluded from the calculation and just the original principal is used. Simple interest applies to all loans, not just specific ones. Additionally, it is the kind of interest that banks give their customers on their savings accounts.

Given amount invested = principal = £9600

rate = 8% per year

time = 3 years

simple interest is,

SI = (Prt)/100

SI = (9600*8*3)100

SI = £2,304

Hence value after 3 years is £2,304.

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Answer: b because i searched it up and thats what it is

The length of the side BC is 5 unit.

The length of the line segment bridging two points on a plane is known as the distance between the points.

The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}

Given:

A quadrilateral has vertices:

A(0, -3)

B(6, -3)

C(9, 1)

D(3, 1)

The length of the side BC = √{(x₂-x₁)² + (y₂-y₁)²}

= √{(9 - 6)² + (1 + 3)²}

= 5

Therefore, the length is 5 unit.

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Answer: Y=5

8x5=40

40x5=200

200x5=1000

etc..

The car is 7 feet long and the model is 16 inches long, the ratio of the length of the car to the length of the model is, 21:4  So Option D is correct

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

The car is 7 feet long

The model is 16 inches long

The ratio of the length of the car to the length of the model = ?

It is known that,

1 feet = 12 inches

Now, converting length of car into inches

⇒   7 feet =  7×12 inches = 84 inches

So, Ratio of lengths

⇒  84/16

⇒   21/4

Hence, the ratio is 21:4

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Complete question:

A model is made of a car. The car is 7 feet long, and the model is 16 inches long. What is the ratio of the length of the car to the length of the model?

a) 4:21

b) 7:16

c) 16:7

d) 21:4

Answer:

Subtract two angles together to get the answer 19.(22) 20.(12)

To isolate the variable on one side of the equal sign, divide both sides of the equation by the coefficient of the variable.

There are 30.90 meters squared of the field is not reached by the sprinkler.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

First, get the area of the square field. The area of the square is side multiplied by side.

A = S x S

A = 12 X 12

A = 144 meters squared

Second, get the area of the circle formed by the sprinkler.

The circle is formed inside the square with a radius of 6 meters (half of the diameter which is 12 meters).

A = πr²

A = 3.1415 x 6²

A = 113.09733 meters squared.

In order to get the not sprinkled area, subtract the area of the square by the area of the circle.

Hence, Not Sprinkled Area = 144 meters squared - 113.09733 meters squared

Thus, The final answer is 30.90 meters squared.

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The period of the sinusoidal function in this problem is given as follows:

5 units.

A periodic function is a function that has the behavior repeating in intervals over the domain.

Then the period of the function is defined as the shortest difference between two points in which the function has the same behavior.

One of the examples of the shortest difference in this problem is between x = 1 and x = 6, hence the period is calculated as follows:

6 - 1 = 5 units.

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Step-by-step explanation:

by using the paymdnt pkan, the total amount to pay is,

36 + 15×12

= £216

so saving 240-216 = 24. ( 10%)

so it is not 8% saving

An equation that models the total number of hours which Laura babysits is l = d + 5.

In order to write an equation that model this situation, we would assign variables to the number of hours Delilah babysits and the number of hours Laura babysits respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into an algebraic equation based on the fact that Laura babysits 5 hours more per week than Delilah as follows;

l = d + 5

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44 tourists only visited LEGOLAND (of these three).

Let's call the number of tourists who visited only LEGOLAND x.

From the information given, we know that:

258 tourists had visited the Magic Kingdom

299 tourists had visited Universal Studios

100 tourists had visited both the Magic Kingdom and LEGOLAND

82 tourists had visited both the Magic Kingdom and Universal Studios

76 tourists had visited both LEGOLAND and Universal Studios

12 tourists had visited all three theme parks

68 tourists did not visit any of these theme parks

We can calculate x as follows:

x = number of tourists who visited LEGOLAND only

number of tourists who visited LEGOLAND - number of tourists who visited LEGOLAND and Magic Kingdom - number of tourists who visited LEGOLAND and Universal Studios + number of tourists who visited all three parks

= 100 - 82 - 76 + 12

= 44

Hence, 44 tourists only visited LEGOLAND (of these three).

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Answer:

a.

The growth rate (k) can be calculated using the exponential growth formula: P = P0 * e^(kt), where P0 is the initial population, t is the time in years, and e is the natural logarithm base.

From the information provided, the initial population of elves in 2000 was 23, and in 2003, the population was 34. By substituting the values into the formula and solving for k, we get:

34 = 23 * e^(k * 3)

Taking the natural logarithm of both sides:

ln(34) = ln(23 * e^(k * 3))

Using the logarithmic identity:

ln(34) = ln(23) + ln(e^(k * 3))

Solving for k:

k = (ln(34) - ln(23)) / (3) = 0.175

Therefore, the growth rate (k) for the population of elves is 0.175.

b.

To find the population of elves in 2020, we can use the exponential growth formula:

P = P0 * e^(kt)

Substituting the initial population of elves in 2000, which was 23, and the growth rate (k), which we found to be 0.175, we get:

P = 23 * e^(0.175 * 20)

Calculating the exponential function:

P = 23 * e^3.5

Therefore, there will be approximately 51 elves in 2020.

c.

To find the year when there will be 543 elves, we can use the exponential growth formula and solve for t:

543 = 23 * e^(0.175 * t)

Dividing both sides by 23 and taking the natural logarithm of both sides:

ln(543/23) = 0.175 * t

Solving for t:

t = (ln(543/23)) / 0.175

Therefore, there will be 543 elves in the year 2027.

i am not sure

Answer:

When using inverse operations with negative numbers, when you change subtraction to addition, the negative turns to a positive.

-8 - -10 can be changed to:

8 + 10

8 + 10 = 18

Step-by-step explanation:

Hope it helps! =D

Sorry took so log to answer. My internet is being slow some reason. -_-

The loss is given as difference of cost price and selling price and the selling price is R750.

Mathematicians use the profit and loss formula to calculate market prices for goods and to assess how lucrative a company is. There is a selling price and a cost price for every goods. We can determine the profit made or loss suffered for a certain product based on the values of these prices. Cost price, fixed, variable, and semi-variable costs, selling price, marked price, list price, margin, etc. are some of the key words that are addressed in this article.

Given that the cost price is R600, and the profit is R150.

The profit is given as:

P = SP - CP

150 = SP - 600

SP = 150 + 600

SP = 750

The loss is given as:

L = CP- SP

Hence, the loss is given as difference of cost price and selling price and the selling price is R750.

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The height where the pumpkin lands on the hill is given as follows:

36 meters.

The equation for the pumpkin's height is given as follows:

y = -0.1x² + 4.9x.

The equation for the hill's height is given as follows:

y = 0.9x.

Hence the pumpkin will land on the hill at a time of:

-0.1x² + 4.9x = 0.9x.

Hence:

0.1x² - 4x = 0.

x(0.1x - 4) = 0.

0.1x - 4 = 0

x = 40.

The height is then given as follows:

y = 0.9(40)

y = 36 meters.

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Answer: [tex]80\%[/tex]

Step-by-step explanation:

[tex]\frac{90-50}{50} \times 100=80\%[/tex]

Answer:

Roughly around 764.15

Step-by-step explanation:

The equation to find area is A = π r^2

When you replace the values, you get A = π 15.6^2

15.6 squared is 243.36, so you end up with A = π x 243.36

Once you multiply them, you get 764.15, which is roughly the amount

Answer:

solution

given,

length =6cm

breadth =5cm

height =4cm

Now,

area of cuboid =l×b×h

=6cm ×5cm×4cm

=120cm^3

Hence, the total surface area of the given figure of cuboid is 120cm^3

Step-by-step explanation:

given above

Both Lily and Charlotte biked 9 miles in a day. They biked 48 miles within the space of 3 days

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

Every day last week, Lily biked 7 miles and Charlotte biked 9 miles.

The total distance both biked in a day = 7 miles + 9 miles = 16 miles

Both Lily and Charlotte biked 9 miles in a day

They biked the same number of miles each day for 3 days, hence:

Total distance biked = 16 miles per day * 3 days = 48 miles

They biked 48 miles within the space of 3 days

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Hence Sequences 4, 16, 36, 64,.. are not arithmetic, however 40, 30, 20, 10,... are, with a common difference of -10 and the 52nd term being -490.

An arithmetic progression is defined as a constant discrepancy between terms that follow one another through a series. For instance, the number sequence 5, 7, 9, 11, 13, and 15 is an example of either an exponential manner with a limitation of two. A progression with a set tolerance between any consecutive numbers is referred to as a "arithmetic progression" (A.P.). Two types of mathematical progression are possible: series in mathematics with a finite length A finite geographic progression is a serie with a finite number of terms. The early, delayed, tolerance, and frequency of terms may all be calculated using the terms in the series.

given

First succession

4, 16, 36, 64,

The common difference must be the same for it to be considered AP.

It is not AP since 16 - 4  ≠  36 - 16.

Second succession;

40, 30, 20, 10, ...

common distinction =30 - 40 = 20 - 30 = 10 - 20 = -10

As a result, it will be an AP because the common difference is -10 and the same.

Now, The nth phrase of AP equals a plus (n - 1) d, where d is a typical difference and an is the initial term.

So, 52nd term = 40 + (52 - 1) (-10), which is -490.

Hence Sequences 4, 16, 36, 64,.. are not arithmetic, however 40, 30, 20, 10,... are, with a common difference of -10 and the 52nd term being -490.

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Answer:

1) x=1/4Y-1/2   2) x=1/4Y-1/2

Step-by-step explanation:

x=1/4Y-1/2       x=1/4Y-1/2

-4x=2-Y           2x=-4-Y

x=-1/2+1/4Y     x=-2-1/2Y

x=1/4Y-1/2        x=1/4Y-1/2

Answer:

D. 29

Step-by-step explanation:

A. 10 = 2 × 5   not prime

B. 15 = 3 × 5   not prime

C. 27 = 3³   not prime

D. 29 = 1 × 29    prime

Answer:

29

Step-by-step explanation:

A prime number is a number that can't be divided by any number other than itself or 1.

10

1*10

2*5

5*2

10*1

NOT A PRIME NUMBER

15

1*15

3*5

5*3

15*1

NOT A PRIME NUMBER

27

1*27

3*9

9*3

27*1

NOT A PRIME NUMBER

29

1*29

29*1

PRIME NUMBER

Answer: 0.452 ÷ 2 = 0.226 is the correct answer. :)

Please answer my question too, i would appreciate it.

Answer:

ehhhh

Step-by-step explanation: