Before Sarah does open her account, she sees her grandmother for the holidays. Grandma wants to contribute to Sarah’s ROTH and even matches her contribution, giving her an additional $500 to invest. Now that Sarah has an initial investment of $1000, how much would Sarah have at age 68 based on her predicted rate of return from historical data

Answers

Answer 1

Answer:

2,9457

Step-by-step explanation:

100+7% = 1.07

(1.07)^50 = 29.45702506

y = 1000(29.46)

y = 29,460


Related Questions

the population of london city is 11400. write this in scientific notation

Answers

Answer:

1.14 x 10x4

Step-by-step explanation:

thats is correct i just did the test

5 divided by 29.95 show work please​

Answers

0.167

Step-by-step explanation:

5 ÷ 29.95

= 5 ÷ 2995/100

= 5 × 100/2995

= 500/2995

≈ 0.167

5 divided by 29.95 is 0.167

Solving Two Step Equations

9x + 6/3 = 5x + 2

Answers

Answer:

x = 0

Step-by-step explanation:

In this case it isn't exactly 2 steps, but you can still solve it.

First, simplify. Divide 6 with 3:

9x + (6/3) = 5x + 2

9x + 2 = 5x + 2

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 2 and 5x from both sides:

9x (-5x) + 2 (-2) = 5x (-5x) + 2 (-2)

9x - 5x = 2 - 2

4x = 0

Divide 4 from both sides of the equation to isolate the variable, x:

(4x)/4 = (0)/4

x = 0/4 = 0

x = 0 is your answer.

~

Answer:

4x+5

Step-by-step explanation:

9x+6/3=5x+2=9x-5x=4x+3+2=4x+4

hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Answers

Answer:

C) 1 ¼

Step-by-step explanation:

.25 = ⁴/⁴ ÷ .25 = ¼

ñññññ

Answer:

The choice C)

[tex]1 \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]1.25 = \frac{5}{4} = 1 \frac{1}{4} [/tex]

I hope I helped you^_^

using a number line, find both the intersection and the union of the following interval: (-∞, 7) and [-5, +∞)

Answers

Step-by-step explanation:

the intersection of the interval: (-∞, 7) and [-5, +∞)

is [-5, 7)

and the union of the interval: (-∞, 7) and [-5, +∞)

is (-oo, +oo)

What is 6% of 24.55 rounding to the nearest hundredth

Answers

Answer:

24.56!

Step-by-step explanation:

4 or less stays the same 5 or more goes up

what is the slope of the number set of 4,1 and 4,8?

Answers

Answer:

The entered points belong to a vertical line. There is no slope.

Step-by-step explanation:

Someone help plz make sure it’s right and will make brainiest:)

Answers

The correct answer is y = -x + 3.

Good luck :) !

Given the following sets.
A = (0, 1, 2, 3}
B =[a, b, c, d)
C = (0, a, 2, b}
Find A n C.
O [0, 2}
O [a, b, c, d)
O [0, 1, 2, 3)
O empty set
O (0, a, 2, b)

Answers

find AnC

given,

A=(0,1,2,3)

C=(0,a,2,b)

now,

AnC=(0,1,2,3)n(0,a,2,b)

AnC=(0,2)ans.

4. "Eleven subtracted from the quotient of a
number and five is -13."
How do I write this equation?? HELP

Answers

Answer:

[tex]\frac{x}{5}-11=-13[/tex]

Step-by-step explanation:

11 subtracted ( - 11 ) from the quotient ( division ) of a number ( x ) and 5 is ( = ) -13

[tex]\frac{x}{5}-11=-13[/tex]

Find the measure of each angle indicated.

A D
A) 21°
C) 23°
E 25°
B) 80°
D) 20°

Answers

Let the missing Angle be " x "

We know that Measure of an exterior angle of a triangle is equal to sum of the opposite two interior angles,

that is :

x + 80° = 100°

x = 100° - 80°

x = 20°

value of missing angle = 20°

The sum of thirty and a number is equal to seventy less than a number times three

Answers

Answer:

30 +x = 3(y-70)

Step-by-step explanation:

number 3.) solve for x

Answers

Answer: D) 9

x = 9........

What is the result of subtracting the second equation from the first? 5x-y=6 and -2x+y=8

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(2,−4)

Equation Form: x= 2, y = −4

Step-by-step explanation:

I did the math

true or false, two figures are mathematically similar if the angles change by the same scale factor.

Answers

Answer:

true

Step-by-step explanation:

when a figure is changed by a scale factor, it is similar. The angles and shape stay the same, but the size changes.

If the radius of one circle is 4cm and the diameter of another circle is 12cm, what is the ratio
of circumferences for the small circle to the bigger circle?

Answers

Answer:

2 cm/3 cm

Step-by-step explanation:

Diameter of smaller circle = 8cm

Diameter of bigger circle = 12 cm

8cm/12cm = 2/3

Hello! Please help!!​

Answers

Answer:

3 x 6 = 18

Step-by-step explanation:

think it's right. that jump from 6 to 3 might be cause of my downfall.

Answer:

18!

Step-by-step explanation:

Its going down by 1 number, 9 x 10 = 90

8 x 9 = 72

7 x 8 = 56

6 x 7 = 48

3 x 6 = 18

cos^8a+sin^8a=1-sin^22a+1/8sin^4a​

Answers

cos⁸A+sin⁸A = (Cos⁴A)² + (Sin⁴A)²

=> (Cos⁴A + Sin⁴A)² - 2Cos⁴ASin⁴A

=> [(Cos²A)²+(Sin²A)²]² - 2(CosASinA)⁴

=> [(Cos²A+Sin²A)² - 2Cos²ASin²A]² - 2(CosASinA)⁴

=> [1 - 2Cos²ASin²A]² - 2(CosASinA)⁴

=> [1 - 2(CosASinA)²]² - 2(CosASinA)⁴

//Remember: Sin2A = 2SinA CosA => SinACosA = 1/2Sin2A

=> [1 - 2(1/2Sin2A)²]²- 2(1/2Sin2A)⁴

=> [1 - 1/2Sin²2A]² - 1/8Sin⁴2A

=> 1 + 1/4Sin⁴2A - Sin²2A - 1/8Sin⁴2A

=> 1 - Sin²2A + 1/8Sin⁴2A

=> R.H.S

the number of painted turtles in a pond is ten less than one-third of the number of frogs. Let f represent the number of bullfrogs. Write an expression for the number of painted turtles

Answers

The expression for the number of painted turtles in the pond will be 1/3f - 10.

Let the number of bullfrogs be represented by f.

From the given information, the number of painted turtles in a pond is ten less than one-third of the number of frogs, the expression for this will be:

= (1/3 × f) - 10

= 1/3f - 10

Therefore, the expression for the number of painted turtles in the pond will be 1/3f - 10. This implies that we have to multiply the fraction by f and then subtract 10 from the value.

In conclusion, the correct option is 1/3f - 10.

Read related link on:

https://brainly.com/question/24950597

Sam walked x miles at 4mph.
Then he walked 2x miles at 3mph.
A) find average speed for the whole journey.
The second part of journey took 25mins longer than the first part.
B) Find the value of x.

Answers

Answer:

Sam average speed for the whole journey =  [tex]3\frac{3}{11} mph[/tex]

Step-by-step explanation:

Formula: Speed = [tex]\frac{Distance}{Time}[/tex]

i.e. Time = [tex]\frac{Distance}{Speed}[/tex]

If Sam walked x miles at 4 mph, then time taken by him = [tex]\frac{x}{4}[/tex] hours

If he then walked 2x miles at 3 mph, then time for this period =  [tex]\frac{2x}{3}[/tex]hours

Average speed = [tex]\frac{Total Distance}{Total Time}[/tex]

=[tex]\frac{x+2x}{\frac{x}{4} \frac{2x}{3} }[/tex]

=[tex]\frac{3x}{\frac{x1}{4} \frac{2}{3} }[/tex]

=[tex]\frac{3}{\frac{3+8}{12} }[/tex]

=[tex]\frac{3 x 12}{11}[/tex]

=[tex]\frac{36}{11}[/tex]

=[tex]3\frac{3}{11} mph[/tex]

Hence, Same's average speed for the whole journey =  [tex]3\frac{3}{11} mph[/tex]

Determine the value of y​

Answers

Answer:

C

Step-by-step explanation:

Because [tex]y^{\circ}[/tex] and [tex]134^{\circ}[/tex] both lie on a straight line, they sum to [tex]180^{\circ}[/tex].

So, [tex]y+134=180[/tex].

We can subtract [tex]134[/tex] from both sides of the equation to get [tex]y=46[/tex].

So,  the answer is [tex]\boxed{C}[/tex] and we're done!

subtract 3 1/6 1/7/12

Answers

Answer:

0 < 1 < 3 1/6

Step-by-step explanation:

0/6<6/6<19/6

0 is less than 1 is less than 3 1/6

you are driving to a friends house at 35 miles per hour and the friend lives 21 miles away. how long to get to the house

Answers

Answer:

35miles/1 hr=21miles/x hr

= x hr* 35miles/1 hr= 21 miles

= x = 21/35 =0.6 hr

So, traveling at 35mph it will take 0.6 hours to travel 21 miles.

If you want time in mins then keep going:

=> 60 mins = 1 hour, 0.6 hours = x mins

60mins/1 hr = x mins/ 0.6 hr

0.6 * 60 mins = 36 mins.

:. It takes 0.6 hrs or 36 mins to drive 21 miles at a constant speed of 35mph

Step-by-step explanation:

The temperatures for the week were as follows Sunday 72 Monday 72 Tuesday 85 Wednesday 69 Thursday 72 Friday 80 and Saturday 77 determine the mean rounded to the nearest tenth median mode and range of the results

Answers

Answer:

Mean- 75.3

Median- 72

Mode- 72

Range- 77

Step-by-step explanation:

Please please help me with this question just help me on (C)

Answers

Answer:

move 3 seconds on your x-axis, and find your intersection with you y axis to determine the height h in m.

Am assuming you drew the function...

substitute 3 in the equation

[tex]h=-5({t})^{2} +20t\\ h=-5({3})^{2} +20(3)\\h=60-45=15m[/tex]

Donna is collecting stamps. On the first day, she collects 5. On the second day, she collects 9. Each day, she collects 4 more stamps than the day before. How many total stamps will she have after 20 days?

Answers

Answer:

81 stamps

Step-by-step explanation:

Here we will use the AP formula

We know that

a_n = a + (n - 1)d

a = first term = 5

n = number of terms = 20

d = common difference = 9 - 5 = 4

On putting values

=> a_20 = 5 + (20 - 1)4

=> a_20 = 5 + (19)4

=> a_20 = 5 + 76

=> a_20 = 81

Therefore,

She will have 81 stamps after 20 days

[tex]\huge{\purple{\underline{\underline{\sf{\pink{ANSWER:-}}}}}}[/tex]

Here we have,

first term (a) = 5

no. of terms (n) = 20

common difference (d) = 9 - 5 = 4

[tex]\implies\tt{a_n = a + (n - 1) \times d} \\ \\ \implies\tt{a_20 = 5 + (20 - 1) \times 4} \\ \\ \implies\tt{a_20 = 5 + 19 \times 4} \\ \\ \implies\tt{a_20 = 5 + 76} \\ \\ \implies\tt{a_20 = 81}[/tex]

Hence, there will be 81 stamps after 20 days.

I need help lollololol

Answers

Answer & Step-by-step explanation:

37.

Linda walked 3/4 (or 75%) of a track which is 3.5 miles long

Multiply 0.75 by 3.5 to get 2.625 miles (or 2 and 5/8 miles)

38.

We need to multiply the 2 and 3/8 mile track by 2 and a half (2 and 0.5)

1/8 is 0.125  

2/8 is 0.25

3/8 is 0.375

The track is 2.375 miles long.

Multiply 2.375 by 2.5

The track will be 5.9375 miles long after 5 years ( or 5 and 15/16 miles)

Step-by-step explanation:

37) ¾×7/2

21/8 miles = 2⅝miles .

38) (19/8×5/2)+19/8

= 95/16+19/8

= 133/16 = 8 5/16 miles .

hope this helps you.

How do you write a number to the power of something ?
( ex : 125 to the power of 5 )

Answers

Answer:

How do you write a number to the power of something ?

( ex : 125 to the power of 5 )

125⁵

thats it easy as much

The distance a car can travel varies directly with the amount of gas in the tank. The car can travel 135 miles with 5 gallons of gas. How many miles can the car travel with 8 gallons of gas? and The value of y varies directly with x. When y=6, x=½. What is the value of x when y=312? please help me.

Answers

Answer:

216

Step-by-step explanation:

135/5=27

27*8=216

Define the following terms and give an example of each. 1) Exponent 2) Base 3) Power 5) Expanded form 6) Standard form 4) Exponential form plzzzzzzz help me plzz

Answers

Answer:

Exponent - "a quantity representing the power to which a given number or expression is to be raised"

Base - "The number that gets multiplied when using exponents"

Power - "The number of times you use the number in multiplication"

Expanded Form - "A way to write a number by adding the value of its digits"

Standard form - "A way of writing down very large or very small numbers easily."

Exponential form - "a shortcut way of writing repeated multiplication involving base and exponents"

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