Olivia borrowed $5,000 for 5 years at 5% simple interest.

Answers

Answer 1

Answer:

The answer is $1250

Step-by-step explanation:

Solution,

Principle (P) = $ 5,000

Time (T) = 5 years

Rate(R) = 5 %

Simple Interest (I) = ?

Now,

We have,

Simple Interest (I) = P×T×R/ 100

= 5,000×5×5/100

= $1250


Related Questions

42. A triangle has an area of 14 square inches. The height of the triangle is three inches more than the
base. What are the base and height of the triangle?
43. Jill has a small treasure box that is 6 inches long. It can hold a volume of 72 inches cubed, and the
width of the box is 5 inches less than twice the height of the box. What are the dimensions of the box?
44. Jessie is mowing her back yard that is in the shape of a right triangle. The shortest side is 7 meters
shorter than the second side, and the hypotenuse is 13 meters long. What are the lengths of the two
sides?

Answers

Answer:

Question 42

area of a triangle = 1/2 × base × height

Given:

area = 14 in²height = x + 3base = x

Substituting given values into the formula:

⇒ 14 = 1/2 × x × (x + 3)

⇒ 28 = (x + 3)x

⇒ 28 = x² + 3x

⇒ x² + 3x - 28 = 0

⇒ (x - 4)(x + 7) = 0

⇒ x = 4, x = -7

As length is positive, x = 4 only.

height = 4 + 3 = 7 in

base = 4 in

-----------------------------------------------------------------------------------------

Question 43

volume of a cuboid = length x width x height

Given:

volume = 72 in³length = 6 inheight = xwidth = 2x - 5

Substituting given values into the formula:

⇒ 72 = 6 × (2x - 5) × x

⇒ 12 = (2x - 5)x

⇒ 12 = 2x² - 5x

⇒ 2x² - 5x - 12 = 0

⇒ (x - 4)(2x + 3) = 0

⇒ x = 4, x = -1.5

As length is positive, x = 4 only.

height = 4 in

width = 2(4) - 5 = 3 in

-----------------------------------------------------------------------------------------

Question 44

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = x - 7b = xc = 13 m

Substituting given values into the formula:

⇒ (x - 7)² + x² = 13²

⇒ x² - 14x + 49 + x² = 169

⇒ 2x² - 14x - 120 = 0

⇒ x² - 7x - 60 = 0

⇒ (x - 12)(x + 5) = 0

⇒ x = 12, x = -5

As length is positive, x = 12 only.

⇒ one leg = 12 m

⇒ other leg = 12 - 7 = 5 m

A manager drew this box-and-whisker plot to represent the number of minutes each of his 27 employees took on their break. Each employee took a different amount of time.

How many employees took a break longer than 49 minutes?

Enter your answer in the box.

Answers

Answer:

6

Step-by-step explanation:

Longer than 49 is only 25% percentile.

27  X .25 = 6.75

Employees are whole numbers, therefore the answer is 6.

Answer:

6

Step-by-step explanation:

Algebra: Right answer pls

Which statement about the graph of y = 4 (1.25)× is true?

The coordinates of the x-intercept are (4, 0)

The coordinates of the y- internet are (0, 4) (ʀɤɢʜʈ Åɴswɛɾ)

The equation of the asymptote is x = 4

The graph includes the point (0, 1.25)

Answers

Answer: B

Step-by-step explanation:

Megan purchased a used car for $6,200. Her state charges 6% tax for the car, $57 for registration, $60 for a new title certificate, and $40 for a state safety and emissions inspection. Show all work. a. How much does Samantha need to pay for these extra charges, not including the price of the car? b. How much does she need to pay in total, for the car and extra charges? Show oyur work.

Answers

If A:B = 7:8 an B:C =12:7,find

A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.

a. How much of the sample will remain after 6 years?

Answers

Answer:

0.75mg

Step-by-step explanation:

6 years is its half life, meaning that half of it will have iradiated by that point. 1.5 / 2 = 0.75

Jodi has a collection of 153 shells. She gives 39 shells to her sister Sherri. Then their mother gives each sister 28 shells.

Part A
How many shells does Sherri have now?

A.
28

B.
67

C.
142

D.
181

Part B
How many shells does Jodi have now?

A.
28

B.
67

C.
142

D.
181

Answers

Answer:

Part-A= C

Part-B= B

Step-by-step explanation:

153-39=114

114+28=142

39+28=67

Answer:

Part A is b and Part B is c good luck


Is x + 2 a factor of p(x) = x°- 3x² – 7x + 6 ? Explain your answer.

Answers

Answer:

True

Determine whether x+2 is a factor of x³-3x²-7x+6:

[tex]True[/tex]

I hope this helps you

:)

HELP 50pts!!!!!!!!!!

Answers

Answer:

2.5, which would be 2:30 hours

Step-by-step explanation:

time/distance:

22.5/9 = 2.5

9 x 2.5 = 22.5

so the answer is 2.5

Answer:

2.5 hours

Step-by-step explanation:

[tex]\sf time \ taken = \dfrac{distance}{speed}[/tex]

Here:

distance : 22.5 kmspeed : 9 km/hr

[tex]\hookrightarrow \sf \dfrac{22.5}{9}[/tex]

[tex]\hookrightarrow \sf 2.5[/tex]

Suppose a math class has 18 females (2 of whom speak French) and 13 males (5 of whom speak French).

Compute the probability that a randomly selected student is male, given that the student speaks French.

Round your answer to three decimal places.

Answers

18 females, 13 males, total: 31 students.

•female french students: 2

•male french students: 5

probability: male french = 5/31,

total students

edit: as a percentage, 16.129 %

For the graphed function f(x) = (4)x - 1 + 2, calculate the average
rate of
change from x = 1 to x = 2.

Answers

Answer:

y+4

Step-by-step explanation:

Help help help help help

Answers

Answer:

[tex]\mathbf{m}=-\frac{1}{2}[/tex]

Step-by-step explanation:

⇒ Find the slope of the line that is perpendicular to y = 2x + 7 :

     ↓

     [tex]\mathbf{m}=-\frac{1}{2}[/tex]

I hope this helps you

:)

Perpendicular lines have slopes that are negative reciprocals of one another.

slope intercept form:

y = mx + b (where m is slope)

since the slope of the first line is 2

the perpendicular line’s slope must be -1/2

I hope this helps and is the BRAINLIEST!

Good luck with your studies!

the question is below please help by monday

Answers

Where are the options

Complete the table below with the amounts of raspberry juice, apple
juice and soda needed to make the different quantities of Fruit Fizz.
mixture must taste exactly the same each time.

Answers

So this is science. I would pick raspberry juice instead of apple because it’s right

Hope this helps!!

-
Angle A and B are vertical angles. If Angle A = (5x – 3)° and Angle B = (4x + 21)°,
then find the measure of Angle A.

Answers

Answer:

Angle A=87°

Step-by-step explanation:

(5x-3)°+(4x+21)°=180°

9x°+18°=180°

9x°+18°-18°=180°-18°

9x°=162°

9x°/9°=162°/9°

x=18°

Angle A=(5x18-3)°

(90-3)°

Angle A=87°

1. Find the area of the polygon
2. Find the area of the polygon
A=__ sq. un

3. In the figure, each of the small squares has an area of 1. What is the area of the shaded region?
(A) 50
(B) 45
(C) 100
(D) 55

Answers

Answer:

1. A = 40 units²

2. A = 72 units²

3. B) 45

Step-by-step explanation:

1.  This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 4(1/2 x 5 x 4)

                                             = 40 units²

2.  This shape comprises two pairs of congruent triangles.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)

                                             = 72 units²

3.  Count the number of shaded squares:

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²

Graph the following function:
f(x) = x2 + 5x – 6

Answers

Answer:

The graph is in the image below

Step-by-step explanation:

you can use an online graphing calculator like Desmos to graph questions like this

I'm not sure if the x2 is x^2 but I will assume

15 Mary needs to work out the size of angle x in this diagram.
DO NOT WRITE IN THIS AREA
63°
X
B
С
She writes
x = 63° because base angles of an isosceles triangle are equal.
Mary is wrong.
(a) Explain why.

Answers

Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°

What is a triangle?

A triangle is a polygon with three sides and three angles. Types of triangles are equilateral, isosceles and right angled.

An isosceles triangle is a triangle in which two sides and two angles are equal.

From the diagram:

∠A = ∠B (base angles)

Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°

Find out more on triangle at: https://brainly.com/question/17335144

What is the factorization of the trinomial below?

3x^3 + 6x^2 - 24x

A. 3x(x - 2)(x + 4)

B. 3x(x - 2)(x - 4)

C. 3(x - 2)(x + 4)

D. 3(x^2 - 2)(x + 4)

Answers

The correct answer is A

how many millions are there in 1 core?

Answers

Answer:

10 million

Step-by-step explanation:

Yolanda cut 2 2/3 yards of fishing line from a new reel. How much is this in inches?

Answers

Answer:

1 yard = 3 feet: 3.25 yards x 3 feet per yard = 9.75 feet. 1 foot = 12 inches: 9.75 feet x 12 inches per foot = 117 inches.

Step-by-step explanation:

1 yard = 3 feet: 3.25 yards x 3 feet per yard = 9.75 feet. 1 foot = 12 inches: 9.75 feet x 12 inches per foot = 117 inches.

What type of function is f(x) = 2x3 – 4x2 + 5?

Answers

it's a cubic function

The given function f(x) = 2x³ – 4x² + 5 is a cubic function.

What is a cubic polynomial?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

A cubic polynomial is a sort of polynomial that is based on the variable's largest exponent, or degree, in mathematical terms. As a result, a cubic polynomial is one in which the degree or maximum power of the variable is 3.

It is observed that the given function is a cubic function as its highest power of the variable is three.

Therefore, the given function f(x) = 2x³ – 4x² + 5 is a cubic function.

To know more about cubic polynomials follow

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What is the domain and range of the graph below?

Answers

Answer:

Domain = [-7,4]

Range = [-4,8]

Step-by-step explanation:

Domain= all values of x

Range= all values of y

becuase there are no values going to infinity and they all end, we can just look at our end points.

Find the angle between vectors a=(1,2) and b=(1,-1/2).

Answers

Answer:

[tex]90^{\circ}[/tex]. In other words, these two vectors are perpendicular (orthogonal) to one another.

Step-by-step explanation:

Let [tex]\|a\|[/tex] and [tex]\|b\|[/tex] denote the magnitudes of vector [tex]a[/tex] and vector [tex]b[/tex]. The dot product between these two vectors is represented as [tex]a^{T}\, b[/tex].  Let [tex]\theta[/tex] denote the angle between the two vectors. The cosine of this angle would be equal to:

[tex]\begin{aligned}\cos(\theta) &= \frac{a^{T}\, b}{\|a\| \|b\|}\end{aligned}[/tex].

The dot product between vector [tex]a = \langle 1,\, 2\rangle[/tex] and [tex]b = \langle 1,\, -1/2\rangle[/tex] is:

[tex]\begin{aligned}a^{T}\, b &= {\begin{bmatrix}1 \\ 2\end{bmatrix}}^{T}\, \begin{bmatrix}1 \\ -1/2\end{bmatrix} \\ &= 1 \times 1 + 2 \times \left(-\frac{1}{2}\right) \\ &= 0\end{aligned}[/tex].

The magnitudes of the two vectors are:

[tex]\begin{aligned}\| a \| &= \sqrt{1^{2} + 2^{2}} \\ &= 5\end{aligned}[/tex].

[tex]\begin{aligned}\| b \| &= \sqrt{1^{2} + \left(-\frac{1}{2}\right)^{2}} \\ &= \frac{1}{2}\, \sqrt{5}\end{aligned}[/tex].

Therefore:

[tex]\begin{aligned}\cos(\theta) &= \frac{a^{T}\, b}{\|a\| \|b\|} \\ &= \frac{0}{5 \times (\sqrt{5} / 2)} \\ &= 0\end{aligned}[/tex].

Among all angles between [tex]0^{\circ}[/tex] and [tex]180^{\circ}[/tex], the only angle with a cosine of [tex]0[/tex] is [tex]90^{\circ}[/tex]. Therefore, the angle between vector [tex]a[/tex] and vector [tex]b[/tex] must be [tex]90^{\circ}\![/tex]. Hence, these two vectors are perpendicular to one another.

In the polynomial below, what number should replace the question mark to produce a difference of squares?

x^2 + ?x - 36

A. 12

B. 36

C. 6

D. 0

Answers

Answer:

Step-by-step explanation:

c

A rectangle has a length of √ 72 meters and a width of √ 18 meters. Find its perimeter in exact and approximate forms, and then find its area.

The exact perimeter is _________ meters.

This is approximately ___________ meters. (Round your answer to the nearest tenth)

The area of the rectangle is ____________ square meters.

Answers

Answer:

The exact perimeter is [tex]18\sqrt{2}[/tex] meters.

This is approximately 25.5 meters (nearest tenth).

The area of the rectangle is 36 square meters.

Step-by-step explanation:

Area of a rectangle = width × length

Perimeter of a rectangle = (2 × width) + (2 × length)

Given:

length = [tex]\sqrt{72}[/tex] mwidth = [tex]\sqrt{18}[/tex] m

Perimeter

[tex]\textsf{Perimeter}=2 \sqrt{18} +2\sqrt{72}[/tex]

               [tex]=2 \sqrt{9 \cdot 2} +2\sqrt{36 \cdot 2}[/tex]

               [tex]=2 \sqrt{9} \sqrt{2}+2\sqrt{36}\sqrt{2}[/tex]

               [tex]=2 \cdot 3 \sqrt{2}+2\cdot 6\sqrt{2}[/tex]

               [tex]=6 \sqrt{2}+12\sqrt{2}[/tex]

               [tex]=18\sqrt{2} \textsf{ m}[/tex]

The exact perimeter is [tex]18\sqrt{2}[/tex] meters.

This is approximately 25.5 meters (nearest tenth).

Area

[tex]\textsf{Area}=\sqrt{18} \times \sqrt{72}[/tex]

       [tex]=\sqrt{9 \cdot 2} \times \sqrt{36 \cdot 2}[/tex]

       [tex]=3\sqrt{2} \times 6\sqrt{ 2}[/tex]

       [tex]=18\sqrt{2}\sqrt{ 2}[/tex]

       [tex]=18 \cdot 2[/tex]

       [tex]=36 \textsf{ m}^2[/tex]

The area of the rectangle is 36 square meters.

The piecewise function h(x) is shown on the graph.
What is the value of h(3)?
-2
ch
0-1
0 1
02
2.
-5 4 -3 -2 -14
2 3 4 5 x
-2
2
-3
-5

Answers

Answer:

1

Step-by-step explanation:

Let's say we have y=f (x)

It denotes the y value that corresponds to x.

When x=3, we can see from the graph that

The matching y value for x=3 =1

As a result, h(3)=1

The value of h(3) can be estimated from the piecewise function curve is 1. so option c is correct.

What is piecewise function?

A function that is composed of several smaller functions, each with a distinct domain, is said to be piecewise. The term "piecewise" refers to the way in which these sub-functions are defined in terms of various intervals or "pieces" of the function's overall domain.

Given that,

The graph of the piecewise function

The function is divided into two piece

Interval-1     x ∈ [-4, -1)

Interval-2   x ∈  [-1, 4]

The value of the function when x  is equal to 3,

In the graph it is clearly mention that for x =3

the output value of the function is 1

Hence, the output value is 1

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What is the mean of the data set?

21.2, 15.3, 20.5, 16.8, 30.2

Question 1 options:

19.2


20.8


21.5

Answers

Answer:

B. 20.8 (second option)

Step-by-step explanation:

The mean is calculated by adding up their values, and then dividing them into elements of a set.

All of them should first be added together.

21.2+15.3+20.5+16.8+30.2

Solve.

[tex]\sf{21.2+15.3+20.5+16.8+30.2=104}[/tex]

The sum of the data set is 104.

The number of terms in the data set is n=5.

Therefore, the mean of the data set is 20.8, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Solve for x 5x + 15 = 28
o
ol
43
5
13
5
O 13
043

Answers

Answer:

[tex]\boxed{\sf{x=\dfrac{13}{5}=2.6 }}[/tex]

Step-by-step explanation:

To solve for x, you have to isolate it on one side of the equation.

First, subtract by 15 from both sides.

[tex]\sf{5x+15-15=28-15}[/tex]

Solve.

28-15=13

Rewrite the problem down.

5x=13

Divide by 5 from both sides.

[tex]\sf{\dfrac{5x}{5}=\dfrac{13}{5} }[/tex]

Solve.

You can also divide the numbers from left to right.

13/5=2.6

[tex]\boxed{\sf{x=\dfrac{13}{5}=2.6 }}[/tex]

Therefore, the correct answers is x=13/5=2.6.

I hope this helps you! Let me know if my answer is wrong or not.

[tex]\rightarrow \sf 5x + 15 = 28[/tex]

[tex]\rightarrow \sf 5x + 15 -15= 28-15[/tex]

[tex]\rightarrow \sf 5x = 13[/tex]

[tex]\rightarrow \sf \dfrac{5x}{5} = \dfrac{13}{5}[/tex]

[tex]\rightarrow \sf x = \dfrac{13}{5}[/tex]

[tex]\rightarrow \sf x = 2\dfrac{3}{5}[/tex]

[tex]\rightarrow \sf x = 2.6[/tex]

What is 5 1/3% converted into a fraction?

Answers

      Answer: [tex]\frac{4}{75}[/tex]

      To Know: A percent (%) divided by 100 becomes a decimal / fraction.

      Step-by-step explanation:

[tex]5\frac{1}{3}[/tex]% [tex]/100[/tex]

[tex]5\frac{1}{3}[/tex]%[tex]*\frac{1}{100}[/tex]

[tex]\frac{16}{3}[/tex]%[tex]*\frac{1}{100}[/tex]

[tex]\frac{16*1}{3*100} =\frac{16}{300} =\frac{8}{150}=\frac{4}{75}[/tex]

     Leaving us with an answer of [tex]\frac{4}{75}[/tex]

Which statement about these triangles is true.

Picture Below

Answers

Answer:

For me I think it is a number 3

Step-by-step explanation:

The statement about these triangles which is true there are exactly three isosceles triangles, the correct option is B.

What is the right triangle?

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that;

4 triangle figure

we can answer the question by counting how many triangles belong to each category. We have:

Three acute triangles: B, D, and E.

Three isosceles triangles: A, D, and E.

Two right triangles: A and C.

Two scalene triangles: B and C.

Therefore, the statement that is true about these triangles is:

Therefore, by the given triangle answer will be There are exactly three isosceles triangles.

Learn more about a right angle triangle;

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Pete's Pottery observes the heights of the vases in inventory. The results are represented by the box plot shown below.Select all of the true statements. The data recorded must have been for 24 vases. The box plot also gives data on the heights of mugs in inventory. The heights are measured in centimeters. The box plot gives data on the heights of vases in inventory. There must be between 6 and 12 vases in inventory. The heights are measured in inches. The longer leg of a right triangle is 1 cm longer than the shorter leg. The hypotenuse is 9 cm longer than the shorter leg. Find the side lengths of thetriangle.cmLength of the shorter leg: 0Length of the longer leg: 0Length of the hypotenuse: 0cmcm What should be the ideal debt-equity ratio of an organization? Use the graphing calculator to graph the quadratic function y = x2 5x 36. Which value is a solution of 0 = x2 5x 36?9446 PLS HELP ASAP THANKS ILL GIVE BRAINLIEST PLS THANKS PLS ASAP PLS PLS THANKSS Help please!__________ is caused by a bacteria that can be transmitted by a flea bite, contact with an infected person, or via airborne droplets. Symptoms are lymph glands that are swollen and painful ("buboes", red spots that turn black)A ) TuberculosisB ) SyphilisC ) Botulism D ) Bubonic Plague A family uses 12,986. 64 Swiss francs per year to pay a mortgage that requires US dollars. Approximately how much, in US dollars, does the family spend per month on the mortgage? 1 US dollar = 0. 9019 Swiss francs 1 Swiss franc = 1. 11 US dollar $975 $1,080 $1,200 $1,440. I need help first answer gets brainliest Which type of electricity-generating power plant releases radioactive materials as well as toxic metals such as lead and arsenic under normal operating conditions?. will give brainliest! 3. Felipe is ordering new carpet for his bedroom floor. (The floor is represented in the picture below asrectangle JKLM). He knows the base edge, ML, measures 18 ft. And the distance of diagonal KMmeasures 25 ft. What is the area of Felipe's bedroom floor? Show all work and round your answer tothe nearest tenth.Please helpp 1. Something that can be verified as true is _____. A. connotation B. an opinion C. a -fact D.a denotation when did we discover the galilean satellites were ocean worlds A 30-foot ladder is leaning against an office building. if the base of the ladder is12 feet away from the base of the building, find the angle of elevation. round tothe nearest degree (whole number). really need this for a test Borrow 1 from the whole number part to rewrite 8 10/24 A person who experiences persistent and intense dizziness after exercising should _________. Please I would really need help rn Match the number to the corresponding part of the diagram below.1. _____ Language (technical vocabulary)2. _____ Language3. _____ Language (descriptive vocabulary) 4. _____ Texts medical reports legal texts academic journals5. _____ Texts technical guides consumer guides textbooks advertising6. _____ Texts biographies essays short stories poems 1. Poetic 1 2. Ordinary 2 3. What are the examples of physical chemistry? In the adjoining figure triangle PQR is similar to triangle PMN , PM= 2MQ And PN = 2NR . Determine ratio of MN/QR