PLEASE HELP ASAP
I think it’s supposed to be an arithmetic series or sequence.

Kaydence is saving for an RRSP. She saved $100 the first year, $200 the second year, $300 the third year, and so on. If she put $100 away on January 1, 2014, $200 away on January 1, 2015, and continued to put money away on the first of each year, how much money would Kaydence have saved by the end of the day on January 1, 2050?

Answers

Answer 1

Answer:

  $70,300

Step-by-step explanation:

The amount Kaydence saved is the value of an arithmetic series with first term 100 and common difference 100. The number of terms in the sum is 37. The formula for the sum can be used.

Sum of an arithmetic series

The formula for the sum of n terms of an arithmetic series is ...

  Sn = (2a1 +d(n -1))(n/2) . . . . . . first term a1, common difference d

Application

The number of terms being added is ...

  2050 -2014 +1 = 37 . . . . . . years Kaydence made deposits

The formula with a1=100, d=100, and n=37 is ...

  [tex]S_{37}=(2\cdot100+100(37-1))\dfrac{37}{2}=\dfrac{(200+3600)\cdot37}{2}\\\\S_{37}=70,\!300[/tex]

Kaydence would have saved $70,300 by the end of Jan 1, 2050.


Related Questions

Find x ( transversals relations )

Answers

Answer:

x = 12

Step-by-step explanation:

(8x - 34) and (5x + 2) are alternate angles and congruent, then

8x - 34 = 5x + 2 ( subtract 5x from both sides )

3x - 34 = 2 ( add 34 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Is the following triangle congruent by SAS, ASA, or SSS? Why?

Answers

Answer:

ASA

Step-by-step explanation:

As it is shown

m<A = m<Z

m<Y = m<C and

|YZ| = |AC| so the triangles are congruent by ASA

please help! thank u!​

Answers

Step-by-step explanation:

I cannot see the correct value so u check yourself. but this is the correct graph.

write a linear equation of a line that goes through (8,0) and (-6,7)

Answers

Answer:

Line equation: y=−0.5x+4

Slope: -0.5

Intercept: 4

Step-by-step explanation:

Quincy has box of cereal to eat over 6 days. If he splits the box into equal portions, how much will he eat each day?​

Answers

Answer:

1/6 of the cereal box

Step-by-step explanation:

Find the number of terms in this polynomial. 7g7 + 10g4 – 6g3 + 3g2 - g​

Answers

Answer:

If you have more than 4 terms you say polynomial with the certain number of terms you have. So the answer to this is polynomial with 5 terms.

Hope this helps.

Write as an addition problem: 22 - (-8)

Answers

Step-by-step explanation:

22+8

I think this ans may help you

Mister Lincoln by juices and water for the school picnic a pack of their juices box cost $5 about the six water bottles cost $3 Mister Lincoln spends $94 for a Hyundai Sonata juice boxes and bottled water.

Answers

Answer:

10 packs of juice and 15 packs of water was bought by Mr. Lincoln

Step-by-step explanation:

Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes costs $5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes and bottles of water.

Solution:

Let x represent the number of packs of juice boxes bought by Mr. Lincoln and let y represent the number of packs of water bottles bought by Mr. Lincoln.

Each pack of juice cost $5 while each pack of water cost $3. Mr. Lincoln spends $95, therefore:

5x + 3y = 95       (1)

Each pack of juice contain 8 juice boxes and each pack of water contain 6 water bottles. Since 170 juice boxes and bottles of water was bought, therefore:

8x + 6y = 170         (2)

Solving equations (1) and (2) simultaneously. Multiply equation (1) by 2 and then subtract equation (2) from the result to get:

2x = 20

x = 10

Substitute x = 10 in equation (1):

5(10) + 3y = 95

50 + 3y = 95

3y = 45

y = 15

Hence 10 packs of juice and 15 packs of water was bought by Mr. Lincoln

Factor x⁴y² + x³y³.
A. x 3y 2(x + y)

B. x³y² (x + 1 )

C. x²y² (x + y)​

Answers

Answer:

A..........,..,......

Step-by-step explanation:

....,.............

Num projeto, o desenho de um jardim tem a forma de um triângulo retângulo onde a hipotenusa mede 4,5 cm. A escala utilizada foi de 1:200. Qual é o comprimento real desse lado do jardim (hipotenusa)? Apresenta a resposta em metros.

Answers

Answer:

9 metros

Step-by-step explanation:

Da pergunta acima

Fator de escala =

Medida correspondente: Representação do objeto

= 1: 200cm

Conseqüentemente:

1 cm = 200 cm

4,5 cm = x cm

x cm = 4,5 × 200 cm

x cm = 900 cm

O comprimento real deste lado do triângulo (hipotenusa) = 900cm

Pediram-nos para converter para metros

100cm = 1 m

900cm = xm

Multiplicação cruzada

100 cm × xm = 900 cm × 1 m

xm = 900 cm × 1 m / 100cm

xm = 9m

O comprimento real deste lado do triângulo (hipotenusa) em metros = 9 metros

Use multiplication to solve the proportion. a/6 = 15/2

Answers

Answer:

[tex]\frac{a}{6}[/tex] = [tex]\frac{15}{2}[/tex]

2a = 6 · 15

2a = 90

a = 45

Step-by-step explanation:

help pleasseeeeeeeeee​

Answers

Answer:

B, C, E, F

Step-by-step explanation:

The table shows two linear functions and the function values for different values of x.
Which expression represents h(x)?
A. (f ∙ g)(x)
B. (g + f)(x)
C. (f – g)(x)
D. (g – f)(x)

Answers

Answer:

the answer is A. (f ∙ g)(x)

Step-by-step explanation:

i got it wrong twice, and then it told me the answer

Answer:

its   A

Step-by-step sussy vent imposter baka :)  ;0

I need a lot of heeelp pleaseee

Answers

Answer:

i think its mn

Step-by-step explanation:

its the 2 close to qs

Which Paris of triangle must be similar?

Answers

Triangles 1 and 2 are equilateral

Three sisters have ages that are consecutive odd integers. The sum of their ages is 57. Find the age of each sister.

Answers

Answer:

The answer is 17 19 and 21

hope i could help!

what's the value of
[tex](2 \sqrt{2}) {}^{2} [/tex]
chess ?​

Answers

Answer:

jbtcxey5x6ivb

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

(2√2)^2

= (2^2× √2^2)

=(4×2)

=8

If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers

Answers

Answer:

Step-by-step explanation:

If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers

Let us represent:.

First number = x

Second number = y

If the sum of two numbers is 4

= x + y = 4

x = 4 - y

The sum of their squares minus three times their product is 76

x² + y² - 3xy = 76

We substitute 4- y for x

(4 - y)² + y² - 3(4 - y)y = 76

(4 - y)(4 - y) + y² - (12 - 3y)y = 76

16 - 4y - 4y - y² + y² - 12y - 3y² = 76

16 -20y - 3y² = 76

3y² + 20y - 16 + 76 = 0

3y² + 20y + 60 = 0

If you borrow $491 for one year at an interest rate of 9%, how much interest will you pay?

Answers

Answer:

44.19

Step-by-step explanation:

419*0.09=44.19

Which describes how to calculate the range of this data set?
4, 5, 6, 8, 11, 12

A.) Subtract 11-5.
B.) Subtract 12-5.
C.) Add 11+5.
D.) Add 12+4.

Answers

Answer none of them it’s 12-4=8

Answer:

D.) Add 12+4

Step-by-step explanation:

I took the test on Edge 2021.

The price have changed from $120 to $75. By how many
percent did it change?
Plz show how you did it

Answers

Answer:

around 37%

Step-by-step explanation:

120 × (1 - 37%) = 120 × (1 - 0.37) = 75.6

if im being honest i used calculator . net's percentage calculator

Challenge. A large university accepts ​60% of the students who apply. Of the students the university​ accepts, ​50% actually enroll. If 10,000 students​ apply, how many actually​ enroll?

Answers

10,000 x 0.6 = 6,000 are accepted
6,000 x 0.5 = 3,000 actually enroll

Answer: 3,000

Step-by-step explanation:

Apply= 10,000

University Accept= 10,000*60% = 6,000

Enroll= 6,000*50% = 3,000

What is the difference?

Answers

Answer:

I WAS WRONG PICK D

Step-by-step explanation:

I'm an idiot

PLEASEEEEEE!!! help with this
PLEASE EXPLAIN HOW TO DO THIS LIKE IN STEPS AND EVERYTHING

Explain, in detail, the steps on how to factor the following trinomial.
3x^2+5x +2

Answers

Answer:

(3x+2)(x+1)

Step-by-step explanation:

Given the quadratic equaton;

3x^2+5x +2

Factorize

(3x^2+3x+)(2x+2)

Factor out the common value from each bracket

3x(x+1) + 2(x+1)

3x+2(x+1)

Hence the factored form is (3x+2)(x+1)

What is 30% of 42?
I’ve given up on my hw pls help

Answers

Answer:

12.6 is the answer! happy to help ya :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

42(30/100)

12.6

need help asap! will give brainliest<3

Answers

Answer:

(B)

Step-by-step explanation:

There are 150 adults and 255 children at a zoo. The zoo makes a total of $4,500 from the entrance fees, and the cost of an adult and a child to attend is $23. how much does it cost each for a parent and a child? Let a represent an adult. Letc represent a child. Enter a system of equations to represent the situation, then solve the system. The system of equations is and The adult tickets cost $ and the child tickets cost $​

Answers

Answer:

y+x=31, 150x+225y=5100.

y=-x+31

150x+225(-x+31)=5100

-75x=-1875

x=25 (adult tickets are $25)

31-25= 6 (child tickets are $6)Step-by-step explanation:

Answer:

Parent: $25

Child: $6

Step-by-step Explanation:

y+x=31, 150x+225y=5100

y=-x+31

150x+225(-x+31)=5100

-75x=-1875

x=25 (adult tickets are $25)

31-25= 6 (child tickets are $6)

I hope this helped :D

A player kicks a soccer ball resting on the ground. The height of the ball, h(t) in feet, after t seconds can be represented by the function h(t) = -16+2 +96t.
Use this information to answer the two questions that follow.
Part A: What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again?
seconds
Part B: When will the ball reach its maximum height?
After seconds

Answers

Answer:

Part A: 6

Part B: 3

Step-by-step explanation:

trust me.

Answer:

6 seconds

After 3 seconds

Step-by-step explanation:

h(t) =-16t^2+96t

a=-16

b=96

c=0

96/2(-6) =3

Max = 3

(0,)

(6,0)

ht/t  = 16t^2+96/t

Shirley went shopping in a mall. She reached the mall 12.5 minutes later than her usual time. While returning she took 20 minutes more than twice her usual time to reach home. If the usual time she takes to reach the mall is 40 minutes, find the total number of minutes Shirley spent going and coming back from the mall.

Answers

Answer:

Total time Shirley spent  going and coming back from the mall= 152.5 minutes

Step-by-step explanation:

Usual time it takes to reach mall from home = 40 minutes

New time she took to reach the mall=12.5 minutes later than her usual time

= 40 minutes + 12.5 minutes= 52.5 minutes

New time she took to reach home ( lets assume she followed the same route as coming from home in which she spends 40 minutes) =20 minutes more than twice her usual time to reach home.=20 minutes + 2(40)= 20 minutes  + 80 minutes

=100 minutes

Total time  going and coming back from the mall =52.5 minutes  +100 minutes = 152.5 minutes

An escalator 152 feet in length rises to a platform and makes a 31° angle with the ground. Find the height of the
platform above the ground.

Answers

Answer:

78.3 or 78.29

Step-by-step explanation:

We are asked to find the height of the figure which is the vertical side of the triangle. We are given an angle and we are a side opposite of that angle( the height of the platform) and the hypotenuse 152. So we are going to use sine.

Opposite/Hypotenuse

We use this equation

[tex] \sin(theta) = \frac{opp}{hypo} [/tex]

Plug in the values

[tex] \sin(31) = \frac{x}{152} [/tex]

Which is about 78.29

Other Questions
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