suppose 7,500 is invested at 1.5%, compounded continuously. what will the account balance be in 16 years?​

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf \$9,534.37}}[/tex]

Step-by-step explanation:

The formula for continuously compounded is:

[tex]A=Pe^{rt}[/tex]

where P is the principal amount, r is the interest rate as a decimal, and t is the amount of time.

The principal amount is $7,500 and time is 16 years. The interest rate is 1.5%. Convert this to a decimal- divide by 100 or move the decimal places two spots to the left.

1.5/100= 0.015         or           1.5 --> 0.15 --> 0.015

Now we know all the values and can substitute them into the formula.

[tex]P= 7500 \\r= 0.015 \\t= 16[/tex]

[tex]A= 7500(e^{0.015*16})[/tex]

Solve the multiplication in the exponent first.

[tex]A= 7500(e^{24})[/tex]

Solve the exponent.

[tex]A= 7500 (1.27124915)[/tex]

[tex]A=9534.368627[/tex]

Round to the nearest cent (hundredth place). The 8 in the thousandth place tells us to the round the 6 to a 7.

[tex]A=9534.37[/tex]

The account balance will be $9,534.37 after 16 years.


Related Questions

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72.4

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40°

Step-by-step explanation:

110 + 30 is 140. Since the sum of every triangle's angles are 180, you do 180-140. the answer is 40

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i d k  m a y b e 4 5?

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Answer:

3 for every 5

Step-by-step explanation:

help please!
How many solutions does the system have?
3x + y = 8
2x + 2y = 8
a. exactly one
b. no solutions
c. infinitely many solutions

Answers

Answer:

Step-by-step explanation:

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Answer:

a

Step-by-step explanation:

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A 150​-gram bag of berries is a mixture of raspberries and blueberries. If ​80% of the bag is​ raspberries, how many grams of blueberries are in a​ bag?

Answers

Answer:

30g

Step-by-step explanation:

Since the bag is a total of 150 grams...

100% = 150

1% = 150 ÷ 100 = 1.5

Find out 80% of the bag which is finding out how many raspberries there are in the bag.

80% = 1.5 x 80 = 120

The remaining in the bag out of the raspberries is the berries.

150 - 120 = 30 (berries)

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Answers

1.25

the exponent is to the 6th because there are six zeros

Answer:

blue box: 1.25

orange box: -7

Will give brainliest to decent answer!

Answers

Answer:

1. Domain: [0,120] Range: [0,300]

2. f(30) = 200; After 30 minutes, the altitude of the balloon is 200 feet.

3. x = 10; When the altitude of the balloon is 100 feet, the time has passed is equal to 10 minutes.

4. at 20-40 minutes

5. 70 minutes

6. x: {40 ≤ x ≤ 90}

Step-by-step explanation:

1. The line is between 0 and 120 on the x-axis and is between 0 and 300 on the y-axis.

2. When x = 30, y equals 200.

3. When y = 100, x equals 10.

4. The line stays on 200 for 20 minutes, between 20 and 40.

5. Between 30 and 100 minutes, the altitude is greater than 200.

6. All x values between 40 and 90 (including 40 and 90 too) matches with 300 as their y-coordinate.

Answer:

.1:

.2:

.3:

.4: At around 20 to thirty minutes

.5: From 20 to 90 minutes

.6:

Step-by-step explanation:sorry i dont know the others

18 1/4 as an improper fraction

Answers

Answer:

73/4

Step-by-step explanation:

18x4 = 72. 72 + 1 = 73

Answer: 73/4

Step-by-step explanation:

An improper fraction is simply a fraction in which the numerator is larger than the denominator.  Thus, simply convert 18 into fourths, 72/4, then add 1/4 to get 73/4

Hope it helps <3 :D

A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find the probability of drawing a yellow chip, not replacing it, and then choosing a blue chip.
I need it now!

Answers

i think this right
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Write all the names of the quadrilateral shown.
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Answers

Answer:

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Step-by-step explanation:

15
15 of 16
George needs flour to make bread and cookies. He used 3 cups of flour for the bread. He need 1 cups of flour for each batch of cookies
George has a total of 12 cups of flour.
Select the

Answers

Answer:

9 flour for the cookies

Step-by-step explanation:

there is 12 cups of flour and he already used 3 for the bread so that leaves us to 9 cups of flour left which is the cookies.

Consider the two triangles shown. Which statements are correct?
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ZA = 78.46
B)
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LC-42.44
D)
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11
E)
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79
6

Answers

Answer:

A

Step-by-step explanation:

A)

180-44.42-57.12= 78.46

Antonia incorrectly solves the equation −2(14−54a)=6 . Her work is shown below.

Determine which of her steps are correct based on the work in the previous step. Drag and drop Yes or No into each box to show if her math is correct for each step.

Then, drag and drop the correct solution into the box to make the statement true.

Answers

Answer:

For the yes/no bit:

step 1: no

step 2: no

step 3: yes

step 4: yes

step 5: no

for the final answer bit: a = 2  3/5 (the last option)

Step-by-step explanation:

yes/no bit:

step 1 is wrong because she didn't multiply [tex]-\frac{5}{4}a[/tex] by -2

step 2 is wrong because she subtracted 1/2 instead of adding it

step 3 is correct because 6 - 1/2 = 11/2

step 4 is correct because she correctly multiplied both sides by 4

step 5 is wrong because she added 5 instead of dividing by -5.

for the final answer bit, I've attached an image below with my working out. hope this helps!

the airplane passengers consist of 70 adults and 14 children. What is the ratio of children to all passengers, in simplest form

Answers

Answer:

7:42

Step-by-step explanation:

children: all passengers

then simplify

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Cashier job pays $9 per hour
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Answers

Answer:

14

Step-by-step explanation:

12 that is the answer
To the question

PLEASE ANSWER ASAP ILL GIVE BRAINLIEST

The length of a rectangle is represented by (3x + 4). The width of the rectangle is
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Answers

Answer:

12.04 units squared

Step-by-step explanation:

You need to find X first

3x+4 = 2x-5

5x = -9   (Divide both side by 5)

x = -1.8

Substitute X into the equations

(3x+4) = -1.4

(2x-5) = -8.6

Find the Area with the given number

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Brayden stated that a flying disc had a circumference of 43.96 in. Eliza wanted to find the area of the same flying disc. What is the area of the flying disc rounded to the nearest whole number? Both Brayden and Eliza used 3.14 for π.

Answers

Step-by-step explanation:

circumference(c)=43.96

2πr=43.96

r=43.96÷2π

radius ( r)=7

Now,

area(a)=πr^2

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Which statements about the figure must be true? Select
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O ZDBC is bisected by ray BD.
ZABC is bisected by ray BD.
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Answers

Answer: ABC is bisected by ray BD.

BC = One-halfAC

2mDBC = mABC

Step-by-step explanation:just took the test :)

The solution is, Options B, C and D are correct choices.

B.) ABC is bisected by ray BD.

C.) BC = AC/2

D.) 2mDBC = mABC

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

We have been given a diagram in which point B is the midpoint of line ABC. We are asked to choose the correct statements about our given diagram.

A. DBC is bisected by ray BD.

Since DBC is an angle for our given diagram and side BD is terminal side of angle DBC, therefore, option A is false.

B. ABC is bisected by ray BD.

We have been given that point B is the midpoint of segment ABC, this means that ray BD bisect line ABC. Therefore, option B is true.

C.

Since point B is midpoint of line ABC, so AB will be equal to BC.

i.e. we get,

BC = AC/2

Therefore, option C is the correct choice.

D. 2mDBC = mABC

We can see that measure of angle DBC is 90 degrees.

We can see that ABC is a line and measure of linear angle is 180 degrees,

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In the diagram Shown a 2-foot wide flower border surrounds the heart-shaped pond. What is the area of the border?

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Answers

Answer:

Step-by-step explanation:

Area of square = 144 sq ft

Area of circle = πr² = 36π sq ft

Total area = (144+36π) sq ft

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12x+24 is equivalent to 4(3x+6) because...

Answers

Answer:

you use disputation

Step-by-step explanation:

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Answers

9514 1404 393

Answer:

  x = 58

Step-by-step explanation:

The external angle is half the difference of the intercepted arcs.

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The total cost of a $70.42 meal after a 20% tip
$

Answers

Answer:

$84.50

Step-by-step explanation:

Answer:

$84.504

Step-by-step explanation:

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Answer:

D

Step-by-step explanation:

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Answers

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Answers

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Answers

Mrs. Finch is my math teacher!
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