Lucy invested for 15 years at 2.8%, compounded annually and ended with an account balance of $2250. What was her initial deposit? Daund to the norost della

Answer:

0

Step-by-step explanation:

x < 4 means all numbers less than 4, excluding 4 itself.

4.5 > 4.

5 > 4.

so 0 is the solution

Answer:

4

Step-by-step explanation:

interval notation ( negative infinity, 4)

The expression is simplified to 2

It is important to note that the table of exact values for trigonometric identity differ with the particular identity in study.

From the table of exact values, we have that;

sin 15 = 0. 25

sin 30 = 0. 5000

sin 45 = 0. 7071

sin 60 = 0. 8600

sin 75 = 0. 9659

sin 90 = 1

To determine the value of the expression, we have to substitute the value of sin 30 as 0. 5000

4 sin 30°

⇒ 4 × 0. 5000

multiply through

⇒ 2

The value determined is 2

Thus, the expression is simplified to 2

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He had 48.75 oz of salsa.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

I guess that Clay is filling 6.5 oz bottles of salsa.

And we know that he was able to fill 7.5 of these bottles,

then if each bottle has 6.5 oz, 7.5 of them have a total mass of salsa will be equal to 7.5 times 6.5 ounces,

this is:

M = 7.5*6.5 oz = 48.75 oz

This means that Clay had 48.75 ounces of Salsa

A drawn model to show this is seen below.

Each big square represents 0.5 oz,

and the area black delimited area represents a total amount of 6.5 oz, we have 7 of them, then you can draw that 7 times,

and count the squares,

and then you will find the total ounces of salsa that Clay had, which is equivalent to the multiplication we did above.

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Answer:

-5.1

Step-by-step explanation:

Since we know the starting temperature was -12.6 and the decrease was 7.5, that gives an equation.

-12.6 - 7.5.

Since we are working in temperature we need to be careful when subtracting.

-12.6 - 7.5 = -5.1

In a calculator, -12.6 - 7.5 would be 20.1 but since we are using temperature the answer is -5.1.

Hope that helps. x

Answer:

x>-2

Step-by-step explanation:

first you want to get rid of all of the numbers on the left so you can only be left with 2x>-4 then you decide both sides by 2x because you only want to be left with one x and once you divide you will be left with x>-2

Answer:

The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A

Step-by-step explanation:

From the graph of the printing rate of Printer A, we can see that;

At 1 minute, number of pages printed = 15

At 2 minutes, number of pages printed = 30 minutes

At 3 minutes, number of pages printed = 45

Thus printing rate for printer A is; 15/1 = 30/2 = 45/3 = 15 pages per minutes

Since printer B can print 25 pages per minute, we can conclude that;

The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A

Answer:

The second one is the answer.

Step-by-step explanation:

slope= y2-y1

          ------------

            x2-x1

Answer:

32

Step-by-step explanation:

you need to find out which number is 40% of 80 and to do that you go 40/100 is equal to what (x) over 80-  x/80 and then you cross multiply so 100 times x is 100x = 40 times 80 which is 3200 and then divide 3200 by 100 so you get 32

Answer:

\(p = \frac{m}{v} \)

Step-by-step explanation:

Density is the ratio of an object's mass to its volume, and it measures how compact an object is. The density of an object, p, is directly proportional to its mass, m, and inversely proportional to its volume, V:

\(p = \frac{m}{v} \)

It is given that 5% of the students that were in the honours society met with the congresswoman.

It is also known that 12 students met the congresswoman.

Let the total number of students in the honours society be x.

So it follows:

Hence there are 240 students in the honours society.

Option C is correct.

Answer:

the answer is D according to my scorrs

The family actually lost purchasing power due to the combination of the wage increase and inflation, as their budget did not keep pace with rising prices.

We need to calculate the inflation-adjusted increase in their wages.

First, we can find the amount of the wage increase by multiplying the original budget by the percentage increase:

Wage increase = $22,300 x 0.03 = $669

Next, we need to adjust for inflation. We can do this by finding the inflation rate as a decimal (5.6% = 0.056) and subtracting it from 1 to get the inflation-adjustment factor:

Inflation-adjustment factor = 1 - 0.056 = 0.944

Finally, we can calculate the inflation-adjusted wage increase by multiplying the wage increase by the inflation-adjustment factor:

Inflation-adjusted wage increase = $669 x 0.944 = $631.08

Therefore, the family's net gain in purchasing power is:

Net gain = Inflation-adjusted wage increase - Original budget

Net gain = $631.08 - $22,300

Net gain = -$21,668.92

So the family actually lost purchasing power due to the combination of the wage increase and inflation, as their budget did not keep pace with rising prices.

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Answer:

Simplifying

6f + -12 = 4f + 6

Reorder the terms:

-12 + 6f = 4f + 6

Reorder the terms:

-12 + 6f = 6 + 4f

Solving

-12 + 6f = 6 + 4f

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '-4f' to each side of the equation.

-12 + 6f + -4f = 6 + 4f + -4f

Combine like terms: 6f + -4f = 2f

-12 + 2f = 6 + 4f + -4f

Combine like terms: 4f + -4f = 0

-12 + 2f = 6 + 0

-12 + 2f = 6

Add '12' to each side of the equation.

-12 + 12 + 2f = 6 + 12

Combine like terms: -12 + 12 = 0

0 + 2f = 6 + 12

2f = 6 + 12

Combine like terms: 6 + 12 = 18

2f = 18

Divide each side by '2'.

f = 9

Simplifying

f = 9

Step-by-step explanation:

Answer:

The answer is 55.

m=55

Step-by-step explanation:

we know that a straight line is 180
We know that m+125 is a straight line.
This means that we will subtract 125 from 180
When you do that, you get 55.

We can check our answer by doing 125+55
That will get you 180.

Answer:

I dont understand what your saying???

Step-by-step explanation:

The slope of the line in the graph is,

⇒ m = 1

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is,

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (- 1, 0) and (0, 1).

Now,

Since, The equation of line passes through the points  (- 1, 0) and (0, 1).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - 0) / (0 - (-1))

m = 1 / 1

m = 1

Thus, The slope of the line in the graph is,

⇒ m = 1

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Answer:

The answer would be approximately 13.9, so if 13.9 is not a choice just pick what closest to it.

Step-by-step explanation:

Answer:

13.7

Step-by-step explanation:

The mean length of the rainbows is 20 miles.

To determine the mean length of the rainbows we are going to divide the Total miles in length by the number of rainbows.

Using this formula

Mean length=Total miles in length /Number of rainbows

Where:

Total miles in length=100 miles

Number of rainbow=5

Let plug in the formula

Mean length=100/5

Mean length=20 miles

Inconclusion the mean length of the rainbows is 20 miles.

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The length of each sides of the right triangle are as follows:

The shape of the city lot is a right triangle.

The hypotenuse side is 4 ft longer than one of the other side.

The perimeter of the lot is 440 ft.

Therefore, using Pythagoras theorem,

let

x = the other side

y = the second leg

x² + y² = (x + 4)²

x² + y² = (x + 4)(x + 4)

x² + y² = x² + 4x + 4x + 16

x² + y² = x² + 8x + 16

y² = 8x + 16

Hence,

x + x + 4 + y = 440

2x + y + 4 = 440

2x + y = 436

2x + y = 436

y = 436 - 2x

y² = 8x + 16

(436 - 2x)(436 - 2x) = 8x + 16

190096 - 872x - 872x - 4x² = 8x + 16

190096 - 1744x - 4x² = 8x + 16

4x² + 1752x -190080 = 0

4(x² + 438x - 47520) = 0

x² + 438x - 47520 = 0

Therefore,

x = 90 and x = - 528

Therefore, the hypotenuse side is 94 ft.

94² - 90² = y²

y = √8836 - 8100

y = √736

y = 27.1293199325

y = 27 ft

Therefore, the short leg, long leg and hypotenuse are 27 ft, 90 ft and 94 ft.

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Answer:

Sorry, I cannot answer this question without additional information such as the dimensions of the triangular prism.

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Pls vote my answer as brainliest

Answer:

33

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)

the answer is

\(B. \: {v}^{2} {w}^{2} + {15v}^{2} {w}^{3} + 2\)

Hope this helps you!

The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

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Answer:

The answer is x=-7/2

Step-by-step explanation:

hope this helps

6x + 9 = -12

6x+9-9=-12-9

6x=-21

To find the x divide both side by 6.

6x/6=-21/6

x= -7/2

the answer to this question is = (- 7/2)

Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

The expression that is equivalent to the given value would be = 18-i . That is option C.

An equivalent expression is defined as the type of expression that is similar to a given value when simplified.

The given expression = ( 3 + 4i) ( 2 - 3i)

Expand the given expression by removing the brackets as follows:

= =2(3+4i)−3i(3+4i)

=(6+8i)−(9i−12)

= (6+12)+i(8−9)

=18−i.

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Answer:

6

Step-by-step explanation:

The study described is a randomized experiment.

A randomized experiment is a typical experimental study design. It is a study design in which the researcher or investigator is in complete control of the research environment. For example, an investigator may wish to assess the effects of certain treatments on some experimental units.

The investigator decides the type of treatment, the type of experimental unit to use, and the allocation and assessment procedures of the treatments and effects, respectively, while in an observational study, the researcher or investigator is usually a passive observer as he only observes and analyses facts and events as they occur naturally.

In experimental studies, the researcher is in complete control of the exposure, and the result should therefore provide stronger evidence of an association or lack of association between exposure and a health problem than would an observational study.  

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"Determine whether the study described below is a randomized experiment or an observational study.

A medical researcher wants to determine whether exercise can lower blood pressure. She recruits 100 people with high blood pressure to participate in the study. She assigns a random sample of 50 of them to pursue an exercise program that includes daily swimming and jogging. She assigns the other 50 to refrain from vigorous activity. She measures the blood pressure of each of the 100 individuals both before and after the study."--

If Shannon attempts 400 throws this year, the number of free throws that she would make is 100 free throws.

To find the number of free throws that Shannon might be able to make this year, you need to look at the rate at which she is able to make free throws from the number of throws that she makes.

When Shannon made 20 throws, she was able to make 5 free throws out of these 20 throws. This means that her rate of free throws is :

= Number of throws made / Total throws taken x 100 %

= 5 / 20 x 100 %

= 0. 25 x 100 %

= 25 %

If Shannon has 400 throws therefore, the number of free throws she can make at that rate is:

= Number of total throws x Rate of free throws made

= 400 x 25 %
= 100 free throws

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