Find the principal needed now to get $75 after 3 years at 8% compounded quarterly.

Answers

Answer 1

The principal needed now to get $75 after 3 years at 8% compounded quarterly is $59.14

Compound interest

The formula for calculating the compound interest is given as shown:

A = P(1+r/n)^nt

Given the following parameters

A= $75

rate r = 8% = 0.08

Time t = 3 years

n = 4

Substitute

75 = P(1+0.08/4)^4(3)
75 = P(1.02)^12
75 = 1.2682P

P = 75/1.2682
P = 59.14

Hence the principal needed now to get $75 after 3 years at 8% compounded quarterly is $59.14

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Related Questions

Select the correct answer. Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100

Answers

Answer: C

she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.

Find the value of y for the given value of x.

y=2−9x;x=2/3

Answers

Answer:

-4

Step-by-step explanation:

y=2-9×(2/3)=2-6= -4

f(x) = 3-2-x for x = -3

Answers

Answer:

f(-3) = 4

Step-by-step explanation:

f(-3) = 3-2-(-3)

f(-3) = 3-2+3

f(-3) = 4

To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.

Answers

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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What is the length of the line segment that joins (3, -2) and (3, 9)

Answers

Step-by-step explanation:

\( \sqrt{3 - 3} + \sqrt{9 - - 2} \)

\( \sqrt{0} + \sqrt{11} \)

\( \sqrt{11} \)

Thats the answer of distance

The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?

Answers

The constant that will be used in Digby's linear inequality will be 8.

What are linear inequalities, exactly?

Inequality is a mathematical statement that states that neither side is equal. When a link causes a non-equal comparison between two expressions, an inequality develops. The inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠), replace the equal sign "=" in the sentence. In mathematics, inequalities are classified into three types: polynomial inequalities, rational inequalities, and absolute value inequalities.

The characters '<' and '>' denote severe inequalities, whereas " ≤ and ≥ " denote slack inequalities.

Now,

Given that The temperature during a winter day was less than 8 degrees Fahrenheit.

let x be the temperature in degree Fahrenheit

then the linear inequality to show the statement will be

x<8 where 8 is a constant

Hence,

          The constant that will be used in Digby's linear inequality will be 8.

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Answer:

The awnser is 8.

Step-by-step explanation:

i just know<33

What is the value of x? Round only your final answer to the nearest hundredth.

What is the value of x? Round only your final answer to the nearest hundredth.

Answers

The length of the hypotenuse is 12.52 yards.

Given that a right triangle, we need to find the value of the hypotenuse x,

Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.

We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.

Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.

We know that, the cosine of the angle is the ratio of the base to the hypotenuse,

So,

Cos 37° = 10 / x

x = 10 / Cos 37°

x = 12.52

Hence the length of the hypotenuse is 12.52 yards.

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A rectangular box has length 11 ft, width 8 ft, and height 12 ft. Find its volume as surface area.

Answers

The volume of a rectangular box= 1056 ft³

The surface area of a rectangular box= 632 square ft

What is meant by volume?

Volume is a measure of three-dimensional space that is occupied. It is frequently quantified numerically using SI-derived units or different imperial or US customary units (such as the gallon, quart, cubic inch). The definition of length (cubed) is related to volume. The volume of a container is commonly believed to be its capacity; that is, the amount of fluid (gas or liquid) that the container can hold, rather than the amount of space it occupies.

Volume was measured in ancient times using similar-shaped natural containers, and later, standardized vessels. Arithmetic formulas can quickly compute the volume of some simple three-dimensional shapes.

Given,

Length of the rectangular box= 11ft

Width of the rectangular box= 8 ft

Height of the rectangular box= 12 ft

Volume= Length× Width× Height

Volume= 11×8×12

=1056 ft³

Therefore, volume= 1056ft³

Surface area of a rectangular box is,

1 and 2 surfaces, 11 × 8 ===>

Surface area = 2× (11× 8) =  176 square ft

1 and 3 surfaces 11 × 12 ===>

Surface area = 2× (11×12) = 264 square inches

3• 2 surfaces 12 × 8 ===>

Surface area = 2× ( 12 × 8) = 192 square inches

Adding all the surface areas

176 +264 +192= 632  square ft.

The surface area of a rectangular box= 632 square ft

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May I please get some help with this The question asks Which lines are Perpinduicular?It may take me a while to understand this

May I please get some help with this The question asks Which lines are Perpinduicular?It may take me

Answers

For this question, we need to calculate the slope

For G

\(\begin{gathered} m=\frac{-3+2}{2+2} \\ m=\frac{-1}{4} \end{gathered}\)

For R

\(\begin{gathered} m=\frac{5-1}{3-2} \\ m=\frac{4}{1} \end{gathered}\)

For B

\(\begin{gathered} m=\frac{5-0}{1-0} \\ m=5 \end{gathered}\)

R is perpendicular to B

Denise earns $22.50 an hour. How much will Denise earn for an overtime hour if she earns time and half ( 1.5 ) for overtime work?

Answers

She would earn 33.75 for that overtime hour

A road is
4/5
of a mile long. A crew needs to repave 2/5
of the road. How long is the section that needs to be repaved?
Write your answer in simplest form.

Answers

Answer: 20/10

Step-by-step explanation:

Take (calculate) 4/5 of 2/5 mile:

4x5= 20

---- * ---- = 20/10

2x5= 10

The section that needs to be repaved is 1/2 of a mile.

What is a fraction?

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now it is given that,

Length of road = 4/5 of a mile

Road needs to repave = 2/5 of the road

Thus, road needs to repave = 2/5 of 4/5

⇒ road needs to repave = (2*4)/(5*5)

⇒ road needs to repave = 10/20

or, road needs to repave = 1/2

Thus, the section that needs to be repaved is 1/2 of a mile.

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Select all of the following statements that are true four years from now, in the year 2025.
Select : 2
Submit Answer
The Thrift segment will demand 7,741 thousand units
The Core segment will demand 9,771 thousand units
The Nano segment will demand 5,403 thousand units
The Elite segment will demand 5,869 thousand units

Answers

The Thrift segment will demand 7,741 thousand units and the Core segment will demand 9,771 thousand units true from the following statements.

The options that are true from the following statements will be:

The Thrift segment will demand 7,741 thousand units

The Core segment will demand 9,771 thousand units

Based on the complete information options that are given, it can be inferred that the growth rate for the companies was given.

Growth rate simply means the percentage change of assets or investments for a particular period. From the table, it can be inferred that the thrift segment will demand 7,741 thousand units while the core segment will demand 9,771 thousand units.

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2. Claire drinks 64 fluid ounces of water o day. How many gallons of water does she drink in a week?​

Answers

Answer:

3.5 gallons a week

Step-by-step explanation:

Well 64 gl Oz is basically half a gallon. So half a gallon of water a day would result in 0.5*7 (7 days in a week) and you would get 3.5 gallons.

find the tax (7%) paid on $99 sneakers

Answers

$6.93
you just multiply $99 by .07 since that’s the percentage

Answer:

6.3

Step-by-step explanation:

99(.07)=6.3

original price was 92.7 + 6.3 gives you 99

what is 2(3x+4)=x-7​

Answers

the answer to your question is x=-3

can yall help me out please.​

can yall help me out please.

Answers

Answer:

which one equals 12? option C

Step-by-step explanation:

Increase 2,400 by 5%

Answers

2,520 i found it on a percentage calculator website

Increasing 2400 by 5% gives us 2520

we can increase the value by using the formula:

\(initial value+ percentage increase *initial value\) = increased percentage

in the aforementioned question we have

initial value = 2400

percentage increase = 5%

thus we can find out the increased percentage by:

2400 + 2400 X (5/100)

=2400 + 120

=2520

the value by which 2400 is increased is 120

to arrive at the increased value which is 2520

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I need some assistance please

I need some assistance please

Answers

2 (-4) - 6
-8 - 6
-14


2 (7) - 6
14 - 6
8

If T = 78 in, U = 96 in, V = 72 W = 130 in. X = 104 in, Y = 17 in, and Z = 120 in, what is the perimeter of the object?

If T = 78 in, U = 96 in, V = 72 W = 130 in. X = 104 in, Y = 17 in, and Z = 120 in, what is the perimeter

Answers

We are asked to determine the perimeter of the figure. The perimeter of any geometrical figure is equivalent to the sum of all of its sides, therefore, the perimeter "P" is:

\(P=W+X+U+Y+Z+V+T+Y\)

Replacing we get:

\(P=(130+104+96+17+120+72+78+17)\text{ in}\)

Solving the operation:

\(P=634\text{ in}\)

Therefore, the perimeter is 634 in.

16. In an arithmetic sequence: 2, 8, 14, 20, ---------- what is the twentieth term?

Answers

Answer:

In an arithmetic sequence: 2, 8, 14, 20, ---------- what is the twentieth term?

Step-by-step explanation:

116

You can gt this answer by adding 6 in every number

Brainliest please

Factorise x2 - 2x - 3

Answers

(x+1)(x-3)
x= -1,3
This is the answer

The factorization of x² - 2x - 3 is  (x+1)(x-3).

The given quadratic equation is,

x² - 2x - 3

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

Hence to factorize we can write the given quadratic equation as,

⇒ x² - 3x + x - 3

⇒ x(x-3) + (x - 3)

⇒ (x+1)(x-3)

Hence,

x² - 2x - 3 =  (x+1)(x-3)

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sara buys two bags of chips and three boxes of pretzels for $ 85. He then buys another bag of chips and two more boxes of pretzels for $ 50. Find the cost of each bag of chips and each box of pretzels.

Answers

Answer:

Chips= $20    Pretzel=$15

Step-by-step explanation:

Sara bought 2 Chips + 3 Pretzels = $85

(Extra) 1 Chips + 2 Pretzels = $50

Pretzels are twice as much as chips so above ^^ Can be expressed

as Pretzel (15) + Pretzel (15) + Chips(20) = $50

Now lets go back to the first line Putting in the new prices

Chips(20) + Chips(20) + Pretzel(15) + Pretzel(15) = Pretzel(15) = $85

3.98 + 4.25 + 5.92 + 8.6 + _____ = 34.16

Answers

Answer:

11.41

Step-by-step explanation

step 1: 3.98 + 4.25 + 5.92 + 8.6= 22.75

step 2: subtract 22.75 from 34.16=  

step 3: after subtracting your difference will be 11.41

3.98 + 4.25 + 5.92 + 8.6 + 11.41 = 34.16

Rotation 90° clockwise about the origin
N
O
G

Rotation 90 clockwise about the originNOG

Answers

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

What is a rotation?

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Rotation 90 clockwise about the originNOG

A pot contains 30 ounce's of soil. You use 2 3/4 ounces of soil to plant 1 herb.Is there enough soil in the pot to plant 10 herbs?

Answers

Yes, because if you round 2 3/4 to 3 And then divide 30 by 3 you get 10 so you could plant 10 plants

What’s the answer to this radical functions equation ASAP

Whats the answer to this radical functions equation ASAP

Answers

Step-by-step explanation:

√z is defined only when z >= 0

Therefore √x - 1 is defined only when (x - 1) >= 0, x >= 1.

The only graph that shows the domain x >= 1 is graph Y.

Select the correct answer. What is the decimal form of 17%?

Answers

Answer:

0.17

Step-by-step explanation:

Brainliest me pls

Have a nice day!

A triangle has sides with lengths 8, 15, and 17.

a. Verify this is a Pythagorean triple.

Type your response in the space below.


b. Approximate the acute angles in this triangle. Round each angle to the nearest degree.

Type the answers in the boxes below.

Answers

The values 8, 15 and 17 is a Pythagorean triple and therefore a right angle triangle.

What is Pythagoras Triple

A Pythagorean triple is a set of three positive integers, a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right-angled triangle, where c is the hypotenuse.

In this problem, we can we can check if the values are for a right angle triangle.

Assuming this is a right angle triangle which obeys Pythagoras theorem, the longest side will be the hypothenuse.

c = hypothenuse = 17a = leg = 15b = 8

c² = a² + b²

17² = 15² + 8²

289 = 225 + 64

289 = 289

From the calculation above, the values of is a Pythagorean triple.

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Help please question in the picture

Help please question in the picture

Answers

Answer:

81 m²

Step-by-step explanation:

The area of the figure = area of the rectangle + area of the triangle

= Length*Width + ½*base*height

Length = 10 m

Width = 6 m

base = 6 m

height = 7 m

Thus:

Area = 10*6 + ½*6*7

Area = 60 + 21 = 81 m²

PLEASE help fast with attached question!! Thanks!​

PLEASE help fast with attached question!! Thanks!

Answers

Answer: I thihnk it's 1x10^-2

Step-by-step explanation: This equals 0.1, and 6^-2 is equal to 0.1....the rest of the answers are either too big or too small

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