Hailey invested $2,000 in an account paying an interest rate of 2\tfrac{3}{8}2 8 3 ​ % compounded continuously. Sophie invested $2,000 in an account paying an interest rate of 2\tfrac{7}{8}2 8 7 ​ % compounded daily. To the nearest hundredth of a year, how much longer would it take for Hailey's money to double than for Sophie's money to double?

Answers

Answer 1

Answer:

5.08 years

Step-by-step explanation:

We are to solve for time using compound interest formulas

For Hailey

Principal = $200

Amount = Double of Principal = $4000

Rate = 2 3/8% = 2.375.

Time = ?

Hence,

First, convert R as a percent to r as a decimal

r = R/100

r = 2.375/100

r = 0.02375 per year,

Then, solve the equation for t

t = ln(A/P) / r

t = ln(4,000.00/2,000.00) / 0.02375

t = 29.185 years

≈ 29.19 years

For Sophie

Principal = $200

Amount = Double of Principal = $4000

Rate = 2 7/8% = 2.875

Time = ?

First, convert R as a percent to r as a decimal

r = R/100

r = 2.875/100

r = 0.02875 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 0.02875/365)] )

t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 7.8767E-5)] )

t = 24.11 years

How much longer would it take for Hailey's money to double than for Sophie's money to double?

For Hailey it takes 29.19 years

For Sophie it takes 24.11 years

We find the difference

= 29.19 - 24.11

= 5.08 years

Therefore, it would take 5.08 years for Hailey's money to double than Sophie

Answer 2

Answer:

5.07 a little late but oh well

Step-by-step explanation:


Related Questions

5

Part 1: The Easter Bunny wanted the children to have an Easter egg hunt on a soccer field,

which has dimensions of 75 yards by 120 yards. To honor the social distancing restrictions,

each egg must be placed 6 feet apart. What is the maximum number of eggs which can be

placed on the field? Hint: Did you notice the measurement units?

Answers

Answer:

13500

Step-by-step explanation:

to answer this question

convert the dimensions of the field to foot find the area of the fielddivide the area by the space of each egg

1 yard = 3 foot

75 yards = 75 x 3 = 225

120 yards = 120 x 3 = 360 ft

Area of a rectangle = length x width

225 x 360 = 81,000 ft^2

Maximum number of eggs = Area of the field / space the eggs must be apart

81,000 / 6 = 13,500

Help me please!!!!!!!!!!!!

Answers

Answer: +9,+5

Step-by-step explanation:

Write 4x2 = 12 in standard form.

Answers

The standard form of equation  4x2 = 12 is

4x^2=4^3. This is further explained below.

What is  4x2 = 12 in standard form.?

Generally, The standard form of decimal numbers has the same definition as whole numbers.

In conclusion, the standard form of   4x2 = 12 is

4x^2=4^3

Read more about Arithmetic

https://brainly.com/question/22568180

#SPJ2


APR of 0.995%. How much money would a $1000 investment be worth at the end of 5 years

Answers

Answer:

The amount in 5 years will be $1,050.75

Step-by-step explanation:

Here, we want to calculate the worth of the given amount of money in the next 5 years

We use the compound interest formula here;

A = P(1 + r/n)^nt

A is the amount after the given number of years

P is the amount invested which is $1,000

r is the rate which is 0.995% which is 0.995/100 = 0.00995

n is the number of times per year interest is compounded and that is 1

t is the number of years which is 5

substituting these values, we have

A = 1000( 1 + 0.00995/1)^5

A = 1000(1.00995)^5

A = $1,050.75

Could someone please help me with this?

A regular child admission ticket to the San Diego Zoo is $52. If you have a special pass, you can get a 20% discount on the original ticket price. What is the discounted amount of the ticket when you use the discount?

Answers

The answer is $10.40

10 points and brainliest please help me

Answers

Answer: Id k

Step-by-step explanation:

Find the volume of the cone in terms of pi.
405TT cm3
324TT cm3
72TT cm3​

Answers

Answer:

324πcm³

Step-by-step explanation:

Volume=⅓πr²h

⅓*π*9²*12

=324πcm³

There are four blood types, and not all are equally likely
to be in blood banks. In a certain blood bank, 49% of
donations are type O blood, 27% of donations are type
A blood, 20% of donations are type B blood, and 4%
of donations are type AB blood. A blood bank wants to
know how many donations will be required, on
average, to achieve at least one of each of the blood
types.
is it appropriate to use the geometric distribution to calculate probabilities in the situation?

Answers

Answer:

D

Step-by-step explanation:

ed

A $60 video game is on sale for 30% off! How much money will you SAVE ?

Answers

Answer:

YOu will save 18 $

Step-by-step explanation:

Answer:

The game would be 42 dollars

Step-by-step explanation:

Ceci can drive 225 miles in 3 hours (Rate - 75)
How many hours does it take her to drive 1,125 miles?

Answers

Answer:

it'll take 15h for her to drive 1125 miles

Step-by-step explanation:

take 225 ÷ 3 then you get how many miles she drives in an hour which is 75

75 × 15 = 1,125

Please help! Factor the following polynomial:

Answers

Answer:

C is correct

Step-by-step explanation:

100g^2 : 10g  x 10g = 100g^2

-9: 3 x -3 = -9

Multiply

(10g + 3)  (10g - 3)

100g^2 - 30g + 30g - 9

   100g^2 +   0 - 9

Fill in the blank with the correct response. In the image below, the corresponding angle to angle 1 is angle .

Answers

Answer: Angle 8

Step-by-step explanation: don't know if this is what your looking for

Answer:

-3

Step-by-step explanation:

Select the statement that describes the following expression 6 x (2 + 7) − 9. (4 points)

Group of answer choices

6 times the sum of 2 and 7, then subtract 9

6 times the product of 2 and 7, then add 9

6 times the difference of 2 and 7, then subtract 9

6 times the sum of 2 and 7, then add 9

Answers

Answer:

Add all of them together

Step-by-step explanation:

You have to add the numbers and that gives you the sum

The symbols <, >, ≤, ≥ are called
equality symbols
inequalities symbols
operational signs
radical signs

Answers

Given:

The symbols [tex]<,>,\leq ,\geq[/tex].

To find:

The correct name for the given group of symbols.

Solution:

We know that,

Equality symbols is [tex]"="[/tex].

Inequalities symbols are [tex]"<,>,\leq ,\geq"[/tex].

Operational signs are [tex]+,-,\times , \div[/tex].

Radical signs is [tex]\sqrt{}[/tex].

It means, the symbols [tex]<,>,\leq ,\geq[/tex] are called inequalities symbols.

Therefore, the correct option is B.

.
(07.06 MC)
Rocky needs at least $32 to buy an amplifying speaker. He already has $17. Which graph best represents all the possible dollar amounts that Rocky can save to buy an amplifying speaker? (5 points)

Number line graph with open circles on 0 and 15 and shading in between.
Number line graph with closed circles on 0 and 15 and shading in between.
Number line graph with closed circle on 15 and shading to the right.
Number line graph with open circle on 15 and shading to the right.

Answers

Number line with closed circle on 15 and shading to the right. That's because 32 - 17 = 15 and since you need at least 15 more dollars the circle would be closed and shading to the right since it's at least meaning 15 or more.

The answer is c i took the test a long time ago

Answer:

C. Number line graph with closed circle on 15 and shading to the right.

Step-by-step explanation:

i took the test

a pizzeria charges eight dollars for a large cheese pizza, plus 2 dollars for each topping. the total cost for a large pizza is given by the equation c equals 2t+8, where t is the number of toppings. what is the slope? what does the slope represent? what is the y-intercept? what does the y-intercept represent? list all 6 ordered for 0-5 toppings.

Answers

Step-by-step explanation:

the slope is 2 (the cost for each topping)

the y-int is 8,, it represents the initial $8 for the pizza

and i dnt understand wht the last sentence is asking for

A rectangle has perimeter 20 m . Express the area of the rectangle as a function of the length of ones its side.

Answers

Answer:

A = 10W - W²

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

Area of a rectangle =LW

L is the length

W is the width

Given

Perimeter = 20m

20 = 2 (L+W)

10 = L+W

L = 10 - W ....2

Substitute equation 2 into the formula for calculating the area

Recall that A = LW

A = (10-W)W

A = 10W - W²

Hence the area of the rectangle as a function of the length of ones its side is expressed as A = 10W - W²

Ten times the square of a non zero number is equal to fifty times the number.

What is the number?

Answers

Answer:

5

Step-by-step explanation:

10x^2=50x

10x=50

x=5

x=5 hsjsbseinsosnsiwnskdbisndisnsdjd

12. Find the height of the cone shown below if the volume is 3.6 cubic inches. Round your answer to the nearest tenth.

Answers

Answer:

h = 1.34 inches

Step-by-step explanation:

Given that,

The volume of cone, V = 3.6 cubic inches

Let the radius of cone is, r = 1.6 inches

We need to find the height of the cone. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h\\\\h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 3.6}{\pi \times 1.6^2}[/tex]

h = 1.34 inches

So, the height of the cone is equal to 1.34 inches.

Rose writes down all of her math quiz scores. Her math scores are 98,78,84, and 96. What is the mean of her math quiz scores?

Answers

98+78+84+96= 356

Now we will count

there are 4 numbers

= 89

Your mean will be 89

Please help me out please

Answers

Answer:

The answer is 8

Step-by-step explanation:

PLEASE HELP with question 2! BRAINLIEST to correct answer!! NO LINKS AS ANSWERS, or you will be REPORTED!!!

Answers

get x = 128 is not a step

Find the Circumference
(I need to know how to show the work too)

Answers

try 3 because 3 times 3 is. 9

100 points what is a $499.00, $579.00, $364.99 and a $749.00 purchase with 7.5% sales tax

Answers

Answer:

$499.00 - 7.5% tax =  $536.43

$579.00 - 7.5% tax = $622.43

$364.99 - 7.5% tax = $392.36

$749.00- 7.5% tax = $805.18

499.00$-536.425$
579.00$-622.425$
364.99$-392.364$
749.00$-805.175$
Workup in photo below. Good luck.

If you created a stack of 15 pennies taped together, do you think the probability of getting a heads on a toss of the stack would be different than for a stack of 10 pennies?

Answers

No it wouldnt becuase if theyre taped together they both will still have a 50 percent chance of landing on heads

Step-by-step explanation:

Help on this question please

Answers

[tex]sin41 = \frac{x}{111} then x = 72.8[/tex]

According to sin rule

[tex] \frac{opposite}{hypotenus} [/tex]

Find the volume of the cylinder . Round to the nearest tenth. r = 5 cm 5 cm V=[?]cm^ 3

Answers

Answer:

V = 392.70 cm³

Step-by-step explanation:

Volume of a cylinder = πr²h

V = 22/7 * 5² * 5

V = 392.70 cm³

Answer: Acellus uses 3.14 for pi, so 5^2*5*3.14 is 392.5

Step-by-step explanation: 392.5

The diameter of a circle is 14 ft. Find its area to the nearest tenth.

Answers

Answer:

The answer is 153.9

Step-by-step explanation:

To get the answer we will first divide 14 by 2 because we are trying to find the area.  14 ÷ 2 = 7.  Now multiply 7 x 7 x π, which equals 154.9 rounded to the nearest tenth.

Answer:

153.9 ft.²

Step-by-step explanation:

[tex]A=\pi r^2[/tex] where r is the radius of the circle

The radius is equal to half the diameter, so to find r, divide 14 ft. by 2:

14÷2=7

Plug 7 into the equation as r

[tex]A=\pi (7)^2\\A=\pi (49)\\A=153.9[/tex]

Therefore, the area of the circle is 153.9 ft.² when rounded to the nearest tenth.

I hope this helps!

y=\ 4\cdot2\ ^{x}\left\{-5\le x\le1.5\right\}

Answers

Answer:

sorry i dont no

Step-by-step explanation:

Round
$34.7691 to the nearest cent.

Answers

Answer:

Step-by-step explanation:

$34.77 cents is the correct answer
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