The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

3,18/5, 108/25...
Find the 10th term

The amount Vicente needs to deposit now in order to have a balance of $20,000 in his savings account after 10 years is $15,384.62

What is simple interest?

The simple interest on the savings is determined as the deposit multiplied by the annual interest rate and the number of years that deposit would last in the account

I=PRT

I=simple interest

P=principal=deposit=unknown

R=annual simple interest=3%

T=number of years=10

A(amount in 10 years)=P+PRT

A=P(1+RT)

$20,000=P(1+3%*10)

$20,000=P*1.30

P=$20,000/1.30

P=$15,384.62

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Answer:

3311

Step-by-step explanation:

The steps are as follows

1. Divide 456 by 5. This gives a quotient of 91 with a remainder of 1. This remainder becomes the least significant digit of the new base number. This would be the right most digit. So the number is _ _ _ 1

2. Take the quotient, 91, divide by 5 again. This gives a quotient of 18 with a remainder of 1. Put this remainder to the immediate left of the previous value. So we have the number as _ _ 1 1

3. Take the previous quotient, 18, divide by 5 again. 18/5 gives quotient of 3 with a remainder of 3. Put this to the immediate left of the previous number giving the number as _ 3 1 1

4. Repeat the division of the new quotient by 5. 3/5 gives a quotient of 0 with remainder of 3 so we stop

Number = 3 3 1 1

Best done by writing a program or using a calculator

The number of people that would be infected on Dec 19th, based on the daily growth rate of 0.18%  is 1,076,542

What is interval in days between Nov. 19th and Dec.19th?

The interval between November 19th and December 19th is a period of 30 days, since there are 11 more days in November and 19days in December, in essence, using the future value formula, we can compute the number of people tested positive for corona virus on 19th December as shown below:

FV=PV*(1+g)^N

FV=number of people tested positive for corona virus on 19th Dec.=unknown

PV=number of people tested positive for corona virus on Nov. 19th=1,020,000

g=growth rate=0.18%

N=number of days between 19th Nov. and Dec.

FV=1,020,000*(1+0.18%)^30

FV= 1,076,542

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Answer:

5.

Step-by-step explanation:

32-20-12.

Answer:

50

Step-by-step explanation:

divide 20 by 0.4
= 20/0.4 = 20 * (1/0.4)
= 20*2.5
= 50

The true statement about the given diagram is: A. segment XZ is perpendicular to segment WY.

Perpendicular segments are line segments that intersect at a point to form right angles which is equal to 90 degrees. The point where perpendicular segments meet have an angle measure of 90 degrees.

In the given diagram, we are told that angle YXZ is equal to  90 degrees. This means that at the point where segment XZ and segment WY meet have an angle measure of 90 degrees.

This means they are perpendicular segments.

Therefore, the true statement about the given diagram is: A. segment XZ is perpendicular to segment WY.

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Answer:

(22v and 10w)

Step-by-step explanation:

A rectangle is a 4 sided figure. Perimeter is the distance around the rectangle.  The total distance would be

(5v -2w) + (5v - 2w) + (6v+7w) + (6v + 7w)  Add all the like terms together

5v + 5v + 6v + 6v - 2w - 2w + 7w + 7w

The v's add up to 22 and the w's add up to 10

Answer: 0.100

Step-by-step explanation: In the table, it shows that the number of people who have a Bachelor's Degree AND are aged 50 or over is 1958. The total amount of residents in the town are 19623. 1958/19623 gives us the probability. In decimal, the answer is 0.09978086938, which rounds to 0.100

The figure will be a sphere with center T and radius 8 1/2 inches, that is, option D.

A circle is a closed curve constituting of the set of all points in a plane that are equidistant from a given point. This point is the center of the circle and the distance is the radius of the circle.

A circle is a 2-dimensional figure, and the two dimensional does not contain the set of all points in the 3-dimensional plane.

A sphere is a round geometrical object and is the set of all points that are equidistant from a given point, in the three-dimensional space.

Here, we are given that there is a point T and we need to describe the collection of all points in the same plane that are 8.5 inches from point T.

Going by the definitions given above, we can infer that it is a sphere with center T and radius 8.5 inches. If we take it to be a circle then it will not include the points in the 3D plane, hence, sphere.

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Your question was incomplete, check for the full content below-

Which describes the collection of all points in the same plane that are 8 1/2 inches from point T?

A.) Circle T with radius 8 1/2 inches

B.) circle T with diameter 8 1/2 inches

C.) circle T with radius 17 inches

D.) a sphere with center T and radius 8 1/2 inches

Maths:

Round 1

1) Grapes cost £1.50 per kg and carrots cost £1.00 per kg. How much would it costs for 3kg of

grapes and half a kilogram of carrots? £5

2) Jenny decides to share her sweets between herself and her 3 friends. She has 212 green

sweets, 310 blue sweets and 502 yellow sweets. How many sweets will Jenny and her friends

get each? 256

3) Large chocolate bars come with 32 pieces. Medium chocolate bars come with 24 pieces.

Barry buys 8 large bars of chocolate and 6 medium bars. How many pieces of chocolate will he

have altogether? 400

4) A flower shop sells roses for £1.79, carnations for £1.25 and buttercups for £1.30. Holly

decides to buy 3 roses and a buttercup. How much does she spend? £6.67

5) Pencils come in packs of 12 and each pack costs £1.19. Mr Green needs to buy a pencil for

each of the 50 children in his class. How much will he spend on pencils? £5.95

Round 2

1) Mrs Orange decides to share her savings between her six grandchildren. She has £350 in

her savings tin and £1450 in her savings account. How much will each of her grandchildren get?

£300

2) Green lollipops come in packs of 5, yellow lollipops come in packs of 6 and blue lollipops

come in packs of 4. A school buys 32 packs of blue lollipops and 18 packs of green lollipops.

How many lollipops will they buy altogether? 218

3) The baker’s oven can bake 28 loaves of bread at a time. In a day, it can go through 30 full

bakes. How many loaves of bread would be baked after 1 week? 5880

4) Ms Purple sells cars for a living. In one day, she sells 2 blue cars (at £4500 each), 7 yellow

cars (at £6000 each) and 12 black cars (at £8000 each). How much money does she take in car

sales in that one day? £147,000

5) Coaches carry 58 people. A school decides to take its 300 pupils and 38 staff on a visit to the

beach. A single coach costs £128. How much will the total cost of the coaches come to? £768

Topic:

Fruit Veg

Quince

raspberry

Lettuce

garlic

tomato

strawberry

grape

pumpkin

blackberries

nashi

kiwi

chilli

pear

passion fruit

cantaloupe

fig

eggplant/aubergine

cucumber

lemon

peach

lime

watermelon

pineapple

Zucchini/courgette

grapefruit

persimmons

mango

plum

cauliflower

Broccoli

Leeks

Fennel

Carrots

Coriander

Silverbeet

Snow peas

Beans

Celery

Beetroot

Peas

Artichoke

Sweet potato

Answer:

(a) --> f(x) = -(x - 4)²

(b) --> f(x) = x² + 3

(c) --> f(x) = (x - 2)²

(d) --> 6. f(x) = 3 - x²

Parent function of all the graphs is y = x²

(a)

The graph makes a sad face meaning the coefficient will be negative.

Comparing to the parent function y = x², the graph has been translated 4 units to the right.

Equation: f(x) = -(x - 4)²

(b)

The graph makes a happy face meaning the coefficient will be positive.

Comparing to the parent function y = x², the graph has been translated 3 units up.

Equation: f(x) = x² + 3

(c)

The graph makes a happy face with translation 2 units to the right.

Equation: f(x) = (x - 2)²

(d)

The graph makes a sad face with translation 3 units up across y axis.

Equation: f(x) = -x² + 3

f(x + a)  :  translation a units left in the x axis.

f(x - a) : translation a units right in the x axis.

f(x) + b :  translation b units up in the y axis.

f(x) - b : translation b units down in the y axis.

Answer: a popcorn is $9

Step-by-step explanation:

soda is $6

Answer:

See attachment

Step-by-step explanation:

Draw a 45o angle

Bisecting means dividing the angle into 2 halves, which is 22.5o each

Answer:

What do I solve for?

Step-by-step explanation:

The times associated with each speed are:

It is always true that the speed is inversely proportional to time.

In this case we find the situation of bicycle moving at constant speed, where the traveled distance (s), in miles, is equal to the following expression:

s = v · t           (1)

Where:

Now we proceed to calculate time needed for each speed:

t = s / v

Case 1

t = 100 mi / 5 mi / h

t = 20 h

Case 2

t = 100 mi / 10 mi / h

t = 10 h

Case 3

t = 100 mi / 15 mi / h

t = 6.667 h

Case 4

t = 100 mi / 20 mi / h

t = 5 h

Case 5

t = 100 mi / 25 mi / h

t = 4 h

According to the model for rectilinear uniform motion, the speed is inversely proportional to time.

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The price of the adult's ticket is $20 and the price of a child's ticket is $14.

Let adults = a

Let children = c

The appropriate equation will be:

3a + 4c = 116

2a + 3c = 82

Multiply equation I by 2

Multiply equation ii by 3

6a + 8c = 232

6a + 9c = 246

Subtract

c = 14

Price for children = 14

Since 2a + 3c = 82

2a + 3(14) = 82

2a + 42 = 82

2a = 82 - 42

2a = 40.

a = 40/2

a = 20

Therefore, the price of the adult's ticket is $20 and the price of a child's ticket is $14.

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The value of the z-score is calculated as 0.259.

The standard normal distribution is the variable of a normal distribution to mean 0 and variance 1. The normal distribution follows a bell curve. The z-table aids in determining the area beneath the curve.

Now, as per the given question;

The formula for the z-score is;

z = (x - μ)/σ

x = sample size

σ = standard deviation

μ =  mean of the sample

For the given values in the question;

x = 31.1

σ = 7.7

μ = 30.9

Substitute the given values in the formula to fine z-score;

z-score = (31.1 - 30.9)/7.7

z-score = 0.259

Therefore, the value of the z-score is computed as 0.259.

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Answer:

Mark has 18 and Don has 73

Step-by-step explanation:

Let M = Mark and let D = Don

D = 4M + 1

D + M = 91

Substitute and solve for M

4M +1 + M = 91

5M = 90

M = 18

Therefore D = 4(18) + 1 = 73

The minimum divisor such that the dividend is greater than 1000 and a quotient of 52 with a remainder of 18 is 18.86.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Division = divide any two numbers or variable called division.

Let's consider a division problem.

5/2 → 2 + 1

Here 5 is called the dividend,2 is the divisor,2 is the quotient, and 1 is the remainder.

Now,

2  × 2 + 1 = 5

Therefore,divisor × quotient + remainder = dividend

So,

Let's suppose the divisor in the given case is x

Now,

52x + 18 ≥ 1000

52x ≥ 982

x ≥ 18.86

Hence "The minimum divisor such that the dividend is greater than 1000 and a quotient of 52 with a remainder of 18 is 18.86".

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The given question is incomplete complete question is ;

What is the minimum divisor such that The dividend is greater than 1,000, The quotient of 52 with a remainder of 18

The number of adult tickets, that  were sold that day  at the movie theatre was 62

What are simultaneous equations?

Simultaneous equations are two or more equations that must be solved concurrently in order to derive the values of the unknown, the total sales, as well as the total number of tickets sold, can be modeled into equations as below:

let x be the number of adult tickets

let y be the number of children's tickets

9x+5.90y=1000.60....... equation 1

x+y=137.................. equation 2

solve for y in equation 2

y=137-x

substitute for y in equation 1

9x+5.90(137-x)=1000.60

9x+808.30-5.90x=1000.60

9x-5.90x=1000.60-808.30

3.10x=192.30

x=192.30/3.10

x=adult tickets=62

children tickets=137-62

children tickets=75

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The leading coefficient and degree of the polynomial 18u - 8u^2 -9 + u^7 are 1 and 7 respectively.

According to the given question.

We have a polynomial 18u - 8u^2 -9 + u^7.

As we know that the leading coefficient of a polynomial is the coefficient of the leading term.

And the highest and the greatest power of a variable in a polynomial equation is called degree of a polynomial.

Here, the leading term of the given polynomial is u^7. Therefore, the leading coefficient of a polynomial is 1.

And the degree of the polynomial is 7.

Hence, the leading coefficient and degree of the polynomial 18u - 8u^2 -9 + u^7 are 1 and 7 respectively.

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Car A consumes 11.9 gallons.

Car B consumes 13 gallons

Car A consumes 16.3 gallons

Car B consumes 11.6 gallons

In order to determine the required values, the mathematical operation that would be used is division. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

Gallons that would be consumed when driving  300 mi of city driving plus 100 mi of highway driving:

For Car A = (300 / 36) + (100 / 28) = 11.9 gallons

For Car B: (300 / 29) + (100 / 37) = 13 gallons

Gallons that would be consumed when driving  100 mi of city driving plus 300 mi of highway driving:

For Car A = (100 / 36) + (300 / 28) = 16.3 gallons

For Car B: (100 / 29) + (300 / 37) = 11.6 gallons

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Answer:

12-4i

Step-by-step explanation:

i means √-1

(3 - i)(3 + 1) =

3*3=9

3*1=3

-i*3= -3i

-i*1 = -i

9+3-3i-i=

12-4i <--- answer

(3 - i)(3 + i) =

3*3=9

3*i=3i

-i*3= -3i

-i*i = -(√-1)*(√-1) = -(-1) = 1

9+3i-3i+1 =

10 <--- answer

Answer: 1 6/9, or 1 2/3

Step-by-step explanation:

Regroup the 5 and 1/9 to get 4 10/9. Subtract the 3 4/9 from the 4 10/9, getting 1 6/9. Simplified, this is 1 2/3. Hope this helps!

Answer:

angle A=125 angle B= 114 angle C= 121

Step-by-step explanation:

first you have to find x so that you can find each angle

the interior angles of a triangle is equal to 360

add the angles together x+x+7+x+11=360

combine like terms 3x+18=360

subtract 18 on both sides 3x=342

divide by 3 on both sides x=114

to find angles:

plug in X to each side

(114)+7 = angle C

(114)+11= angle A

114= angle B

The inequality that represents the number of sets of glasses Zoey should buy is s ≥ 43

The first step is to determine the number of glasses needed.

The number of glasses needed = 711 - 281 = 430

The second step is to determine the number of sets Zoey needs to buy.

Number of sets needed = 430 / 10 = 43 sets

The third step is to determine the appropriate inequality sign to use

Here are inequality signs and what they mean:

The ≥ (greater than or equal to ) would be used since the number of sets can either be equal to or greater.

s ≥ 43

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