Select the correct answer from each drop-down menu.

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.




Use the given expression to complete the statements below.


The expression is the of the amount initially deposited and the of one and the rate of increase raised to the number of.


The choices are for 1 are sum, quotient, square, product. Choices for 2 is quotient, sum, product, difference. Choices for 3 are compounding periods, months, years.

Answers

Answer 1

Complete Question:

sierrac3000

06/28/2019

Select the correct answer from each drop-down menu.

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.

250(1+0.018/2)^2t

Use the given expression to complete the statements below.

The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*

1st Blank:

Product

Sum

Quotient

Square

2nd Blank:

Quotient

Product

Difference

Sum

3rd Blank:

Compounding Periods

Years

Months

Answer:

1st blank = product

2nd blank = sum

3rd blank = years

Step-by-step explanation:

The expression given above is :

250(1+0.018/2)^2t

The expression can thus be explained as:

The *product* of the amount initially deposited and the *sum* of one and the rate of increase raised to the number of *years*


Related Questions

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
y = 2x - 2
y = 2x + 2
y = x + 2
y = x-2

Answers

Answer:

A line in form of y = ax + b passes (0, 2)

=> 2 = 0x + b => b = 2

This line also passes (4, 6)

=> 6 = 4x + 2 => x = 1

=> Equation of this line: y = x + 2

=> Option C is correct

Hope this helps!

:)

Answer:

A line in form of y = ax + b passes (0, 2)

=> 2 = 0x + b => b = 2

This line also passes (4, 6)

=> 6 = 4x + 2 => x = 1

=> Equation of this line: y = x + 2

=> Option C is correct

Hope this helps!

:)

Step-by-step explanation:

What is 15% of 80kg????

Answers

Answer:

12 kg

Step-by-step explanation:

15%×80 =

= 15×80/100

= 15×8/10

= 120/10

= 12 kg

Can someone please help me with this?

Answers

Answer: x= -3 + 2[tex]\sqrt{2\\}[/tex] or -3 -2 [tex]\sqrt{2}[/tex]

Step-by-step explanation:

First you want to get the quadratic formula

in this case a=1 b=6 and c=1

plug it in and solve the equations

(sorry don't know how to put in equations here)

Answer:

Answer: x= -3 + 2\sqrt{2\\} or -3 -2 \sqrt{2}

Step-by-step explanation:

First you want to get the quadratic formula

in this case a=1 b=6 and c=1

plug it in and solve the equations

find the value of x.
please help !!!

Answers

Answer:

62 degrees

Step-by-step explanation:

all triangles equal 180 degrees so you would add both angles together then subtract the sum of that by 180

Answer:

[tex]x=62^o[/tex]

Step-by-step explanation:

Since the addition of all internal angles of a triangle should add up to [tex]180^o[/tex], then, the missing angle can be found by subtracting the two known angles from [tex]180^o[/tex]:

[tex]x=180^o-68.5^o-49.5^o=62^o[/tex]

3. Shenker has 45 CDs.
He gives 10 CDs to his brother.
a) Write an equation you can solve to find how many CDs
Shenker has left.
b) Solve the equation.

Answers

Answer: The equation is 45-10=x the answer is 35

Step-by-step explanation: To make the equation you need to have and = sign so, we can do what he has (45) and subtract what he gives away (10) which would equal what he has left (x)

Answer:

45 (initial amount) - 10 (given to brother) = x (number of cd's left)

Equation:

    45 - 10 = x

Answer:

    35 CDs

Karen is making a set of costumes for the school play using a piece of cloth. She reduces the length of the cloth she intends to use by 10%. If the initial length of the cloth that she wanted to use was 15 meters, what is the new length of the cloth she wants to use?

Answers

Answer:

The new length is 13.5 meters

Step-by-step explanation:

Here, we are interested in calculating the new length of the cloth she wants to use

What we know from the question is that she is making a reduction of 10% from an initial of 15 meters

Thus, the length she is to use can be calculated by first getting what 10% of 15 meters is

Mathematically, that would be ;

10/100 * 15 = 1.5 meters

We now subtract this from the total of 15 meters

= 15 meters - 1.5 meters = 13.5 meters

PLEASE HELP ME OUT!

Answers

So you have to look at the events first which is ‘given that they watch Tv’. The number of people who watch Tv are 4 however only two of them wear glasses

So...

2/4 = 0.5

Your answer would be 0.50

Hope this helps! :)

A rectangle has an area of k2 + 19k + 60 square inches. If the value of k and the dimensions of the rectangle are all natural numbers, which statement about the rectangle could be true? The length of the rectangle is k – 5 inches. The width of the rectangle is k + 4 inches. The length of the rectangle is k – 20 inches. The width of the rectangle is k + 10 inches.

Answers

Answer:

The width of the rectangle is k+4 inches

Step-by-step explanation:

you have [tex]k^{2}+19k+60[/tex] which can be factorized to (k+4)(k+15)

if the length of the rectangle is k-5 that would mean that we can write [tex]k^{2}+19k+60[/tex] as (k-5)n which we know is false, so the only one that applies is k+4

The true statement is:

"The width of the rectangle is k + 4"

Which statement is true?

Remember that for a rectangle of length L and width W, the area is given by:

A = L*W

So we want to factorize the area equation, which is a quadratic equation, into a product of two terms.

A = k^2 + 19k + 60

The two zeros are given by Bhaskara's formula:

[tex]k = \frac{-19 \pm \sqrt{19^2 - 4*1*60} }{2} \\\\k = \frac{-19 \pm 11 }{2}[/tex]

So we have two zeros, these are:

k = (-19 - 11)/2 = -15

k = (-19 +11)/2 = -4

So we can factorize the area as:

A = (k - (-15))*(k - (-4)) = (k + 15)*(k + 4).

From this, the only statement that can be true is:

"The width of the rectangle is k + 4"

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1480401

If a plastic cup costs #80.00 and 1/2 dozen of it costs #420.00,find the discount of 1/2 dozen

Answers

Answer: 60

Step-by-step explanation:

Cost of 1 cup = 80

Actual cost of 6 cups = 80 x 6 = 480

1/2 dozen cups were bought for 420

Discount 480 - 420 = 60

Add 7m/16+(-m/16) . Reduce, if possible.

Plzz answer quickly

Answers

Answer:

6m/16 = 3m/8

Step-by-step explanation:

since the fractions have the same denominator, just take out the operation on the numerators of the 2 fractions. So, 7m +(-m).

7m +(-M) is the same as 7m - m, so that is 6,

when you put it back together, you get 6m/16, simplify it to 3m/8

I really need to get this rain I will give you Brainlyest or whatever that thing is called if you get this right

Answers

Answer: A. SSS

Step-by-step explanation:

The two triangles are congruent through SSS which means Side-Side-Side. This is because each side of the triangle correlates between the two of them. They both have a 8, 6, and 3 side.

Answer:

SSS

Step-by-step explanation:

The given triangles have 3 equal sides: 3, 6 and 8

So the answer is SSS (side-side-side)

Find the value of x.
Please help

Answers

Answer:

x=5

Step-by-step explanation:

7/5=(2x-3)/x

5(2x-3)=7x

3x=15, x=5

Please answer correctly !!!!! Will mark brainliest !!!!!!!!!

Answers

Answer:

The width is 2x+1

Step-by-step explanation:

10x^2 +5x

Divide this by 5x

10x^2 /5x = 2x

+

5x/5x =1

Add this together

2x+1

The width is 2x+1

Answer:

( 2x + 1 )

Step-by-step explanation:

10x^2 + 5x

it could also be;

5x (2x + 1)

so, the width is( 2x +1)

PLZ HLP MEEEEEEEEEEEEEEE the table below shows what 300 boxer students ate for lunch on friday. what is the ratio of the number of students who ate soup to the number of students who did not eat soup?

Answers

Answer:

number of students who ate soup = 60

number of students who didn't ate soup

= 300-60

= 240

60/240 = 1/4

Let the polynomials A = 7x² + 3xy and B = -3xy.
Determine A + B.
a) 7x²
b) 3xy
c) 7x² + 6xy
d) 14x² + 6xy
e) -3xy

Answers

Answer:

The answer is 7x²

Step-by-step explanation:

Since we have to add the two polynomials together, we write it as A+B=7x²+3xy-3xy. Now, we simplify, and we are left with A+B=7x²

A projectile’s motion is modeled by the function given in the table, where x represents time in seconds and f(x) represents height above the ground. At what time is the projectile on the ground? – 80.4 seconds 2 seconds 4.6 seconds It will never hit the ground.

Answers

Answer:

Its 2!

Step-by-step explanation:

Just got it correct on edge 2020

The projectile is on the ground for 2 seconds.

What is a projectile?

A projectile is an object this is propelled via the application of external pressure and then movements freely underneath have an impact on gravity and air resistance.

What are the 3 types of the projectile?

the bullet, the round ball, shot

Learn more about projectile here https://brainly.com/question/12870645

#SPJ2

Three students use pens to write th enams of graduating seniors on thei rdiplomas. One writes 7 names in 6 minutes, another writes 17 names in 10 minuts, and the third writes 23 names in 15 minutes. How long, to the nearest minute, will the students take to the write the names on 440 diplomas if they work together?

Answers

Answer:

Total time  ≈ 100(nearest minutes)

Step-by-step explanation:

The rates at which each student writes names per minutes can be calculates as follows.

First student

6 minutes = 7 names

1 minute = 7/6 names

second student

10 minutes = 17 names

1 minute = 17/10 names

Third student

15 minutes = 23 names

1 minute = 23/15 names

Total time = 440/total rate

Total time = 440/1.17 + 1.7 + 1.53

Total time = 440/4.403

Total time = 99.931

Total time  ≈ 100(nearest minutes)

Factor the expression completely.
18x2 - 32
O A. 2(3x + 2)(3x – 8)
B. 2(9x2 - 16)
O C. 2(3x - 4)(3x - 4)
O D. 2(3x + 4)(3x - 4)

Answers

Answer:

[tex]\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}[/tex]

Step-by-step explanation:

      [tex]A = 18x^{2} - 32\\[/tex]

Find the sharing components:

<=> [tex]A=2*9*x^{2} - 2*16[/tex]

Apply the inverse of associative property:

<=> [tex]A = 2(9x^{2} - 16)[/tex]

Identify two square components inside the parenthesis:

<=> [tex]A = 2((3x)^{2} - 4^{2} )[/tex]

Factorize:

<=> [tex]A = 2(3x + 4)(3x - 4)[/tex]

=> Option D is correct

Hope this helps!

:)


Which of the following is equal to the ratio of the circumference of a circle to its diameter?

Answers

Answer:

Im pretty sure its the 1st one

Step-by-step explanation:

Answer:

option 3 π

Step-by-step explanation:

Circumference = πd

Circumference : diameter = πd : d

                                            = π : 1 = π

-30 belongs to what family of real numbers ?

Answers

Answer: Irrational numbers

i believe it would be an integer

Christine,milan, and Scott sent a total of 145 messages during the weekend . Christine sent 7 more messages than Scott . Milan sent 4 times as many messages as Scott . How many messages did they each send?

Answers

Answer:

number of message sent by Scott is 23

number of message sent by Christine is   30

number of message sent by Milan is 92

Step-by-step explanation:

Total message sent by Christine,Milan, and Scott : 145

Let number of message sent by Scott be x .

Given that Christine sent 7 more messages than Scott

number of message sent by Christine is   x+7

It is also given that  Milan sent 4 times as many messages as Scott

number of message sent by Milan is   4*x = 4x.

Thus, sum of message sent by Christine,milan, and Scott  in terms of x

= x + x + 7 + 4x = 6x + 7

we already know that Total message sent by Christine,milan, and Scott is 145

thus,  6x + 7 should be equal to 145

6x + 7 = 145

=>6x = 145 - 7 = 138

=> x = 138/6 = 23

Thus,  

number of message sent by Scott is x = 23

number of message sent by Christine is   x+7 = 23+7 = 30

number of message sent by Milan is   4x = 4*23 = 92

What is the length of the hypotenuse of the triangle when x=13

Answers

Answer:

90.80

Step-by-step explanation:

6x+4

= (6)(13)+4

= 78+4

=82

3x

=(3)(13)

= 39

So we know the sides are 39 and 82

Pythagoras theorem in triangles

= a2+b2= c2

Now, we know the value of a and B but not c (the hypotenuse)

Therefore,

c2 = (39)^2 + (82)^2

= 1521+ 6724

= 8245

so, c = √8245

= 90.80 unitd

20 PTS What is the sixth term of the sequence shown in the table? Term Value 1 –46,656 2 7,776 3 –1,296 4 216 5 6 {SEE IMAGE}

Answers

Answer:

a₆ = 6

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = [tex]\frac{216}{-1296}[/tex] = [tex]\frac{-1296}{7776}[/tex] = [tex]\frac{7776}{-46656}[/tex] = - [tex]\frac{1}{6}[/tex]

This indicates the sequence is geometric.

To obtain any term in the sequence, multiply the previous term by r, thus

a₅ = 216 × - [tex]\frac{1}{6}[/tex] = - 36

a₆ = - 36 × - [tex]\frac{1}{6}[/tex] = 6

Answer:

It's 6

Step-by-step explanation:

Got it right!

1 –46,656

2 7,776

3 –1,296

4 216

5 36

6 6

divided by 6 every time

x:28=1:8
Whats the answer eh​

Answers

Answer:

Step-by-step explanation:

We can setup the equation as

x/28 = 1/8

Cross multiplying we get

8x = 28

Dividing by 8 we get

x = 28/8 = 7/2

A bookstore has 60 books about math this is 0.05% of the total number of books on the shelves how many books are there in the bookstore that are not about math

Answers

Answer:

119,940 books are not about math.

What I did:

60x2000=120,000

120,000-60=119,940

Answer:

119940

Step-by-step explanation:

.05 % are about math

b= books

b * .05% = 60

Change to decimal form

b * .0005 = 60

Divide each side by .0005

b = 60/.0005

b =120000 books in the store

we want the ones not about math

120000-60

119940

Triangle ABC has a perimeter 22cm AB = 8cm BC =8cm By calculation, deduce whether triangle ABC is a right angle triangle. NEED AN ANSWER ASAP

Answers

Answer:

No ABC is not a triangle

Step-by-step explanation:

Perimeter = 22 cm

AB = 8 cm ; BC = 8 cm

AC = 22 - ( 8 + 8 ) = 6 cm

But all those sides doesn't follow Pythagorean Theorem(AB^2 + BC^2 = AC^2) ....because 8^2 + 8^2 isn't equal to 6^2 ......

Had it followed the theorem , it could have been a right angle triangle...

find the size of angle yxz give your answer to 3 significant figures 20cm 8cm

Answers

tan X = |YZ| / |XZ| = 20/8 = 5/2

X = arctan(5/2) = 68.2°

Answer: 68.2°

The size of angle ∠YXZ is 68.3° given that sides YZ=20cm and XZ=8cm by using trigonometric ratios.

What are trigonometric ratios?

In a right angled triangle, if A is an angle other than right angle then trigonometric ratios are

sin A =[tex]\frac{opposite side}{hypotenuse}[/tex]

cos A=[tex]\frac{adjacent side}{hypotenuse}[/tex]

tan A =[tex]\frac{opposite side}{adjacent side}[/tex]

Calculate the angle ∠YXZ

Given YZ=20cm and XZ=8cm

Since the triangle is right angled, and opposite side and adjacent side are given we can find tan(∠YXZ )

tan (∠YXZ ) =20/8 =2.5

∠YXZ = arctan (2.5) =68.2°

Hence the size of angle ∠YXZ is 68.2° given that sides YZ=20cm and XZ=8cm.

Learn more about trigonometric ratios here :

brainly.com/question/22384999

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what is the constant of proportionality for y=5/8x

Answers

Answer: 5/8

Step-by-step explanation:

Answer:

k = [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

The standard form of an equation representing proportion is

y = kx ← k is the constant of proportionality

y = [tex]\frac{5}{8}[/tex] x ← is in this form

with k = [tex]\frac{5}{8}[/tex]

10 ft
8 ft
8.9 ft
4 ft
Calculate the perimeter of this figure
to the nearest tenth.
P = [? ] ft

Answers

10+8+8.9+4=30.9
Rounded to the nearest tenth is 30ft

Jeffrey estimates there's a 40% chance to eat pizza for dinner, it's 60% chance he'll drink cold out, and it's 30% chance to eat pizza and drink Cola. What's the probability of Jeffrey drinking cola, if he eats Pizza?​

Answers

Answer:

  a.  75%

Step-by-step explanation:

Let "p" represent the probability that Jeffrey will eat pizza, and "c" represent the probability that he will drink cola.

We are given ...

  P(p) = 0.40

  P(p&c) = 0.30

The conditional probability of interest is ...

  P(c|p) = P(p&c)/P(p) = 0.30/0.40 = 0.75

The probability Jeffrey will drink cola, given that he eats pizza, is about 0.75.

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