On her 21st birthday, Sydney deposited $400 in a new bank account that earns 3.7% interest compounded continuously. If there are no other deposits or withdrawals, how much interest will she have earned by her 60th birthday

Answers

Answer 1

Answer:

$1,649.80

Step-by-step explanation:

Answer 2

Sydney will have earned $1293.35 in interest by her 60th birthday.

How to find interest?

To solve this problem, we need to use the formula for continuously compounded interest:

A = P [tex]e^{rt}[/tex]

Where:

A is the final amount of money in the account (including principal and interest)

P is the initial principal (in this case, $400)

r is the interest rate (in this case, 3.7% per year)

t is the number of years the money is invested (in this case, 39 years)

e is the mathematical constant approximately equal to 2.718

Plugging in the values from the problem, we get:

A = $400[tex]e^{0.037 \times 39}[/tex]

Calculating this, we find that A = $400[tex]e^{1.443}[/tex] = $1693.35

Therefore, he will have earned $1693.35 - $400 = $1293.35 in interest by her 60th birthday.

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Related Questions

Find the value of x. X=​

Answers

Answer: x=9

Step-by-step explanation:

24/36=6/x

24/36=2/3

2*3=6

3*3=9

Answer:

x= 12

Step-by-step explanation:

Some one please help me work out 1-2

Answers

One- total surface area- 94 ft
Two- 37ft


b) 1325 + 13 long division​

Answers

Answer:

1325 divided by 13 is 101.92 rounded to the nearest hundredth

Step-by-step explanation:

I'm not sure what the question is asking though.

Deluxe limousine service charges $2 for the initial pickup of the passenger and then $1 per mile

Answers

What is the question???

The formula t=\sqrt((h)/(16))represents the time t in seconds that it takes an object to fall from a heigh of h feet. A coin is dropped from a height of 75 feet. To the nearest second, how long did it take the coin to fall?

Answers

Answer:

We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America.

Jimmy buys 5 notebooks that each cost the same amount and 1 binder that costs $7.50. The total cost is $18.75. How much does each notebook cost?
Choices:
A. $2.25
B. $5.24
C.$2.52
D.$3.80​

Answers

Answer:

A. $2.25

Step-by-step explanation:

If you subtract $7.50 from $18.75 you get $11.25, then divide that by 5 and you'll get $2.25.

Hope this was useful.

Answer:

The answer would be $2.25

Step-by-step explanation:

If you multiply 2.25 with 5 you get 11.25 so now you just add the 7.50 to it and that's how you get 18.75

Which statement accurately describes the scatterplot?
У
:.
.
A. There are two outliers.
B. There are three distinct clusters.
C. The points seem to be clustered around a line.
D. There are no outliers. .

Answers

C. Hope it helps
#CarryOnLearning

The correct statement accurately describes the scatterplot is,

⇒ The points seem to be clustered around a line.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A scatterplot is shown in figure.

Now, By given figure, We get;

When we draw the line of equation,

⇒ The points seem to be clustered around a line.

Hence, The correct statement accurately describes the scatterplot is,

⇒ The points seem to be clustered around a line.

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Given f(x) = 3x2 + kx + 19, and the remainder when
f(x) is divided by x + 3 is 37, then what is the value of k?

Answers

Answer:

[tex]f{x} = x + 3 = 0 \\ x = - 3 \\ f( - 3) = 3( - 3) {}^{2} + k( - 3) + 19 = 37 \\ f( - 3) = 27 - 3k + 19 = 37 \\ f( - 3) = 46 - 3k = 37 \\ f( - 3) = 46 - 37 = 3k \\ f( - 3) = 9 = 3k \\ f( - 3) = k = 3[/tex]

Put these numbers in order from least to greatest.

1/2 1/3 2/5 0.6 0.3

Least


Greatest

Answers

0.6, 0.3 2/5, 1/3 1/2 ( I believe)

Step-by-step explanation:

good luck !!!

Help me please ASAP please

Answers

Answer:

2 x 4=

Step-by-step explanation:

2 x 4 and then no loops 6/8=0.75

Answer: 0.982

Heres why: Если вы мертвы задницу перевел это, чем я сожалею об этом. Это шутка, и, честно говоря, я не имею чертовски понятия, что ответ

Kyle held a balloon 8ft off the ground above his head and Ava is standing 15 feet directly to g the right of Kyle how far is Ava from the balloon

Answers

Answer:

17

Step-by-step explanation:

Pythagorean theory baby! Okay so the Pythagorean theory is a² + b² = c² so lets draw a triangle and label our sides. So we know 8² + 15² = c² so I'm going to find the square root of all of our numbers. We get 64 + 225 = c² so then add 64 + 225 = 289 then I take the square root of 289 which equals 17 . This answer also makes sense because out hypotenuse should always be bigger then the legs.

I'm pretty sure thats right, Hope this helps.

Measures of center and variation can be used to describe data sets. Choose ALL statements about these measures that are true.
The mean, or average is a measure of center
The range of data set is a measure of center
The median of a data set is a measure of variability.
Measures of variability describe how the values in a data set vary.
Measures of Center describe all values in a data set with a single number

Answers

Answer:

These are the answers:

A) The mean, or average, is a measure of center.

D) Measures of variability describe how the values in a data set vary.

E) Measures of center describe all values in a data set with a single number.

The mean, or average is a measure of center

Measures of variability describe how the values in a data set vary.

Measures of Center describe all values in a data set with a single number

What is Median?

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

The following statements about measures of center and variation are true:

The mean, or average, is a measure of center.

Measures of variability describe how the values in a data set vary.

Measures of center describe all values in a data set with a single number.

The statement "The range of data set is a measure of center" is false. The range is a measure of variability, not center.

The statement "The median of a data set is a measure of variability" is also false. The median is a measure of center, not variability

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How can I find the prime factorization of a number with an easy explanation?

Answers

Answer:

Step-by-step explanation:

Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers.                                                                 Step 2: Write the number as a product of prime numbers.

"Determine which three lengths cannot be the measure of the sides of a triangle. 2 m, 5 m, 6 m 8 m, 10 m, 17 m 5 m, 20 m, 22 m 4 m,15 m, 20 m"

Answers

Answer:

None.

All the four given measurements can form a triangle.

Step-by-step explanation:

Given;

first measurement, = 2m , 5m, 6m

second measurement, = 8m, 10m, 17m

third measurement, = 5m, 20m, 22m

fourth measurement, = 4m, 15m, 20m

For any of the three lengths to form a triangle, the sum of any two sides must be greater than the third side.

First measurement: 2m + 5m = 7m and 7m > 6m (can form a triangle)

Second measurement: 8m + 10m = 18m and 18m > 17m (can form a triangle)

Third measurement: 5m + 20m = 25m and 25m > 22m (can form a triangle)

Fourth measurement: 4m + 15m = 19m and 19m < 20m  BUT

                                  20 m + 15m = 35 m and 35 m > 4m (can form a triangle)

Therefore, all the four given measurements can form a triangle.

Help please and thatn you plzzzzzzzzzzzzzzzz ill give more points

Answers

(7,5) is the points on your graph

Answer:

yooooooo wus up

Step-by-step explanation:

click point (7,5)

Find l.
10 in.
l
b = [?] in.
6 in.

Answers

Answer:

By applying Pythagoras theorem

Answer is √[109] inch

Express each quotient in the simplest form. A. B. C. D.
What is the answer? There is nothing people have said to help

Answers

Is there an image you can show?

what is the total price of a book if barnes and nobles gets it for 4.25 and the markup is 30% How much do they sell the book for?​

Answers

Answer:

$5.53 i think

Step-by-step explanation:

30% = 0.3

0.3 x 4.25 = 1.275

1.275 + 4.25  ≈ 5.53

Answer:

5.25

Step-by-step explanation:

Could someone please give the answer to this question.?

Answers

Answer:

25

Step-by-step explanation:

v^2 - 10v + __ : what number when added to itself gives you -10 ? -5

what's -5 x -5 ? 25

(v-5)^2 is a perfect square

please help 3/4x 2 1/7

Answers

Answer:

1 17/28 or 1.6071428571429 round: 1.61 in decimal form.

I need so much help with these could you help me?

Answers

Answer:

Step-by-step explanation:

In ΔBCA and ΔDCA,

BC ≅ CD                 Given

∠BCA ≅∠DCA        Given

AC ≅ AC                    Reflexive property

ΔBCA ≅ ΔDCA          S A S congruent

∵ BA ≅ AD                CPCT {Corresponding part of congruent triangle}

Plz Help! Ill give brainliest to the first correct answer!

How many solutions does the system of equations below have?
y = -9x - 2
y = -9x - 2

A. No solution
B. One solution
C. Infinitely many solutions

Answers

C infinite many solutions is the correct answer

a 3 inch radius circle is drawn inside a 7 in radius Circle if you throw a dart at the circles what is the probability you land inside the smaller circles​

Answers

Answer:0.82

Step-by-step explanation:

The first step is to determine the areas of the inner and the bigger circles.

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Considering the inner circle,

diameter = 148.4 cm

Radius = 3 inches

Area = 3.14 × 3² = 28.26 inches²

Considering the bigger circle,

Radius = 7 inches

Area = 3.14 × 7² = 153.86 inches²

The area between the bigger and inner circles is

153.86 - 28.26 = 125.6 inches²

Probability = number of favourable outcome/number of total outcome.

the probability you land inside the bigger circle but outside smaller circle is

125.6/153.86 = 0.82

Which rectangular prism has the greatest volume?

Answer asap!!

Answers

Answer:

b

Step-by-step explanation:

735\

Answer:

the top 1! it's bigger by 2cm length wise

A line with a slope of 5 passes through the point (0,0). What is its equation in slope-intercept form?

Answers

Answer:

y=5x or y=5x+0

Step-by-step explanation:

there is a slope of 5 and it has no setoff

PLS HELP WITH THIS IMMEDIATELY!!!! i’ll give brainiest if u don’t leave a link

Answers

Answer:

sides: scalene (no sides are the same length)

angle: right (largest angle is 90*)

can someone help ASAPPP PLEASE

Answers

I’m only good at fractions sorry honey

Jaquol is making a recipe that uses 2 cups of sugar for every 3 cups of flour. If he uses a total of 40 cups of these ingredients, how many cups of sugar were
required?

Answers

Answer:

16 cups of sugar

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

So our ratio here is 2:3. Here's what we're gonna do:

2 + 3 = 5 for every time he makes the recipe

40 / 5 = 8

To double check:

2 x 8 = 16

3 x 8 = 24

16 + 24 = 40

the stove you have to bake in is an old one and only has the temperature in ° Fahrenheit. You are making rusks and have to dry them overnight at a temperature of 176°.Convert this temperature to ° Celsius​

Answers

Answer:

[tex]80^{\circ} C[/tex]

Step-by-step explanation:

You are making rusks and have to dry them overnight at a temperature of 176° F.

The given temperature is in Fahrenheit. We need to convert it into °C.

The relation between Fahrenheit and  °C is given by :

[tex]C=\dfrac{5}{9}(F-32)[/tex]

Put F = 176

So,

[tex]C=\dfrac{5}{9}(176-32)\\\\C=\dfrac{5}{9}\times 144\\\\C=80^{\circ} C[/tex]

So, the temperature is equal to [tex]80^{\circ} C[/tex].

The floor tiles In the Jackson family kitchen are squares that measure 8 and 3/4 to a side. Each grid Square in the drawing measures 1/4 in to a side which is the scale of the drawing.

Answers

Answer:

Step-by-step explanation:

The aware iz 1 in 35 in

The scale of drawing is 1 inch : 27 inch

What is scale factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

Given that, the measurement of the tile = 27/4 inches

Side of the drawing = 1/4 inches

The scale of the drawing =

1/4 inch of drawing = 27/4 inch of tile

That means, 1 inch of the drawing = 27 inch of the tile

Therefore,

The scale of the drawing is 1 inch : 27 inch

Hence, option D is correct

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The complete question is ;

The floor tiles in the Jackson family’s kitchen are squares that measure 6

3 /4  inches to a side. Each grid square in  the drawing measures 1 /4  inch to a side. Which is the scale of the drawing?

A. 1 : 8  3 /4

B. 1 : 10

C. 1 /4 : 27

D. 1 : 27 n

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