Sarita deposits $1000 in an account paying 3.4% annual interest compounded continuously.
A. What is the balance in Sarita's account after 5 years?

Answers

Answer 1

Considering continuous compounding, it is found that the balance of her account after 5 years is of $1,185.3.

What is the equation for continuous compounding?

It is given by:

[tex]A(t) = Pe^{kt}[/tex]

In which:

P is the principal.k is the interest rate.t is the time, in years.

In this problem, the parameters are given as follows: P = 1000, r = 0.034, t = 5, hence:

[tex]A(5) = 1000e^{0.034(5)} = 1185.3[/tex]

The balance of her account after 5 years is of $1,185.3.

More can be learned about continuous compounding at https://brainly.com/question/15965736


Related Questions

What equals -9 when multiplied but -8 when added

Answers

Answer:

1 and -9

Step-by-step explanation:

We can find the number by looking at the factors of -9, which include 1 and -9, -1 and 9, and -3 and 3.

1 * -9 = -9

1 + (-9) = -8

pythag test. question in screenshot

Answers

14^2-9^2=x^2
196-81=x^2
115=x^2
x=10.7238

25^2-10.7238^2=(j+9)^2
625-115=(j+9)^2
510=(j+9)^2
510=j^2+9^2
510-9^2=j^2
510-81=j^2


j=13.6

Eli planted 14 out of his 20 tomato plants so far in his garden. What percentage of his tomato plants has he planted?

Answers

Answer:

70%

Step-by-step explanation:

First we express this as a fraction:

14/20

Then we express it as a decimal: (by doing 14÷20)

0.7

Now we express it as a percentage by multiplying the decimal by 100:

0.7×100%

70%

Answer:

70%

Step-by-step explanation:

GIven:

Eli planted 14 out of his 20 tomato plants so far in his garden. What percentage of his tomato plants has he planted?

Solve:

14/20 x 100

0.7 x 100

70%

Hence, 70% of his tomato plants he planted.

~Lenvy~

what number is between 1.3 and 1.45

Answers

Step-by-step explanation:

1.3+1.45/2

= 1.75/2

=0.875

Two sides of an isosceles triangle measures 9 and 18. Which of the following could be the measure of the other side?

Answers

20.124

Step-by-step explanation:

remember the pythagoream theurm states a^{2} + b^{2} =c^{2} so

9 x 9 = 81

18 x 18 = 324

324+81 = 405

now you have to sq root it (20.1246)

Use the given parent function f(x)=|x| to graph g(x)=|x+2|−4. Use the ray tool and select two points to graph each ray.

Answers

Answer:

g(x) is the translation of f(x) 2 units to the left and 4 units down

Jazmine is picking an outfit to wear to a party. She has 5 pairs of pants, 7 shirts, and 4 pairs of shoes to choose from. The number of possibilities Jazmine has to wear to the party is ———- than 120.

Answers

Answer:
mmore
Step-by-step explanation:
Multiply them all together

how do you find the square root for 9cm ​

Answers

Square Root of 9:-

[tex]\rightarrow[/tex]Square root of 9 is a whole number that is multiplied by itself to get the original number. The actual value of square root of 9 is 3.

√9 = ±3

[tex]\rightarrow[/tex]If we square +3 or -3, the resulting value will be equal to 9.

[tex]\sf{(+3)^2 = 9}[/tex]

[tex]\sf{(-3)^2 = 9}[/tex]

How to find?:-

[tex]\rightarrow[/tex]Number 9 is an odd number and not a prime number. Prime numbers have only two factors, 1 and the number itself. But as we know, 9 have three multiple factors, 1, 3 and 9 itself. Thus, we can write the number 9 in the form of multiple as;

[tex]\sf{1 × 9 = 9}[/tex][tex]\sf{3 × 3 = 9}[/tex][tex]\sf{9 × 1 = 9}[/tex]

[tex]\rightarrow[/tex]You know that number 9 is a multiple of 3 or when 3 is multiplied by itself, we get the number 9. Therefore, we can write the square root of 9 as;

➾[tex]\sf{\sqrt{9}}[/tex]

➾[tex]\sf{\sqrt{3×3}}[/tex]

➾[tex]\sf{\sqrt{3^2}}[/tex]

[tex]\rightarrow[/tex]The square cancels the square root of a number. Therefore, if we cancel the square root with a square in the above expression, we get,

➾[tex]\sf{\sqrt{9}}[/tex] = ±3

__________________________________

Hope it helps you:)

One-fourth of the sum of a number and 10 is 2 less
than twice the number?

Answers

Answer:

The number is 2

Step-by-step explanation:

The equation is: 1/4 (x + 10) = 2x - 1

1/4x + 2.5 = 2x - 1

Multiply everything by 4 to get rid of the fraction

x + 10 = 8x - 4

Subtract x from both sides

10 = 7x - 4

Add 4 to both sides

14 = 7x

Divide both sides by 7

x = 2

416
Chapter 7 Graphing and Functions
16. 2y - 5 = 0
ху

Answers

Answer:

y=2

Step-by-step explanation:

add 5 to 0 then divide 5 with 2

Zoey purchased a new car in 1992 for $28,000. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $9,600 in the year 1996, then what would be the predicted value of the car in the year 1998, to the nearest dollar?

Answers

Answer:

V = V0 e^-k t     where V is the value of the car and t the time in years

ln (V/V0) = - k t

k = -1/4 ln (96/280) = .268

V = V0 e^-k t = 28000 e^-.268 * 6 = 28000 e^-1.606 = $5621

The area of the rectangle is
432 square units. If the width
is 24 units, what is the length?

Answers

Answer:

18 units

Step-by-step explanation:

Area = length * width (A = L * w)

So, in order to find the length when given the width and area, you have to divide the area by the width.

432 / 24 = 18

I hope this helps! Have a lovely day!! :)

A right angle intersects a line at point M.

A right angle intersects a vertical line at point M and forms 3 angles. From top to bottom going clockwise, the angles are 1, 90 degrees, 2.
Which statement is true about angles 1 and 2?

They are congruent.
They are right angles.
They are complementary.
They are supplementary.

Answers

Answer:

I've attached an image showing the intersection and the angle.

Answer:

C: They are complementary

Step-by-step explanation:

We can see from the image that angle 1, angle 2 and 90° are on a straight line. We know that sum of angles on a straight line is 180°. Thus;

∠1 + ∠2 + 90° = 180°

Rearranging, we have;

∠1 + ∠2 = 180° - 90°

Thus;

∠1 + ∠2 = 90°

Now, from angle proofs in trigonometry, it states that If the non-common sides of two adjacent angles add up to 90°, then it means that the angles are complementary.

In our problem here, sum of ∠1 and ∠2 equals 90°. Also, they are the non-common sides of 2 adjacent angles. Thus, we can say that they are complementary.

Step-by-step explanation:

50/100 in tenth fraction and decimal form

Answers

Answer:

5/10 and .5

Step-by-step explanation:

50/100 is 1/2 so 1/2 is equal to 5/10

5/10 is also 1/2 and 1/2 as a decimal is .5 or 0.5

hope it helps !

Find the value of x in this equation.

Answers

Answer: 5

Step-by-step explanation:

Use the long division method to find the result when 4x3 + 12x2 + 172 + 9 is
divided by x + 1.

Answers

Answer:

216

Step-by-step explanation:step 1

first you are going to multiply and add all of the things that need to be multipied and added

4x3=12

12x2=24            

172+9= 181

                   ^  12+24+181= 217

second step: put 217 and x+1 in an equation

you cant divide a number with an x, so you have to put it in an equation and solve for x

x+1=217 ( subtract 1 to the other side of the = sigh. 217-1= 216)

x=216


Find the area of the following shape. (8 points)

what is the answer?

Answers

Answer:

72 square units

Step-by-step explanation:

Identify the heightIdentify the lengthMultiply those two togetherThat is your answer

H = 9 units

L = 8 units

A = H × L

A = 9 × 8

A = 72 square units

P1 = (1,5). P2 = (x,2) .p1p2=5 ​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use distance formula :

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(x - 1) {}^{2} + (2 - 5) {}^{2} } = 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: {(x - 1) {}^{2} + ( - 3) {}^{2} } = 5 {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) {}^{2} + 9 = 25[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) {}^{2} = 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) = 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) = \pm4[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 5 \: \: or \: \: - 3[/tex]

How do you figure out which statement is true?

Answers

Answer:

What question are you talking about though

The table shows the location and magnitude of some notable earthquakes. How many times more energy was released by the earthquake in Peru than by the earthquake in Italy? Use the given equation for comparing earthquake intensity level and magnitude.

Answers

Using the given logarithmic equation, it is found that 158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.

How many times more energy an earthquake releases than another?

According to the logarithmic function given in the problem, the ratio between the amounts of energy released is given by:

log r = M1 - M2

In which M1 and M2 are the magnitudes.

In this problem, considering the earthquakes in Peru and Italy, the magnitudes are M1 = 8.1, M2 = 5.9, hence:

log r = M1 - M2

log r = 8.1 - 5.9

log r = 2.2

[tex]10^{\log{r}} = 10^{2.2}[/tex]

r = 158.5

158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.

More can be learned about logarithmic equations at https://brainly.com/question/25537936

please help
cos40∘=sin(x+30∘)​

Answers

Answer:

x = 20 degrees.

Step-by-step explanation:

cos40∘=sin(x+30∘)​

sin (x + 30) = 0.766

x + 30 = arcsin 0.766 = 50

x = 50 - 30 = 20.

Answer:

x = 20

Step-by-step explanation:

cos(angle) = sin(complement of angle) , then

cos40 = sin(90 - 40) = sin50 , then

sin(x + 30) = sin50 , that is

x + 30 = 50 ( subtract 30 from both sides )

x = 20

Find the solution(s) to the system
y = x2-4
y = -2x – 5

Answers

Answer:

=(-1,-5)

Step-by-step explanation:

y=X1=4

y=-2x-5-2

if f(-3)=14 what would be the equation for f(x)

Answers

Answer:

Step-by-step explanation:

if quadratic

(-3)²+5=9+5=14

so f(x)=x²+5

or

if linear

(-3)+17=14

f(x)=x+17

if  cubic

(-3)³-2(-3)²-3(-3)+14=14

f(x)=x³-2x²-3x+14

so on.

math again. marking as brainliest

Answers

Answer:

d po

Step-by-step explanation:

sna maka tulong hheeheh

Simplify the expression.
The cost of renting a community center is $100, with an additional cost of $10 per guest.

Which graph has the most appropriate scales and units for this situation?

Answers

Answer:

Units will be   # attendees  for the x axis

Units will be $   for the y axis

the graph should be y = 100 when x = 0   and then for each x increase of one the value of y will increase 10

Step-by-step explanation:

Box size | number of mufffons
Small. 4
Medium. 6
Large. 8
Extra large 12

How many muffins are needed to fill all the boxes? Show your work

Answers

30
4 + 6 = 10
10 + 8 = 18
18 + 12= 30

or 4 + 6 + 10 + 8 + 12 = 30

Zahra is looking at a map of a park that has
a scale of 3 in. to 200 ft.
On the map, each side of the park is 6
inches long.
Zahra's distance to the park is 500 feet.
How long would this distance be on the
map?

Answers

Answer:

7.5 inches

peeeee

Using the digits 1, 3, and 5 only once, write the greatest
and least three-digit numbers you can.

Answers

Answer:

Greatest: 531

Least: 135

Step-by-step explanation:

In order to make the greatest number, you want the highest number to be in the highest digits place.

In this case, 5 is the largest number

This is because having a number that is 500 is greater than a number that is 300 or  100.

Then, the next biggest number will be used for the next digit, which is 3, so 3 will be in the 10s place

Then the left over 1 will be in the single digits place, so the greatest number is

531

This is the same process as before, just instead of big numbers, you want little numbers

For the least number, you want the lowest number to be in the 100s place, which is 1

Then 3 is the next lowest number

and the left over is 5

So the least number you can make is:

135

Which set shows an average of 8?
A) A
B) B
C) A and B
D) none of the above

Answers

Answer: D

Step-by-step explanation:

None of the above

Answer:

Step-by-step explanation:

d

A gas tank holds exactly 14 gallons of gas. If the tank is 2/3 empty, how many gallons remain in the tank?

Answers

2/3 empty would mean 1/3 of the total would remain:


14 gallons x 1/3 = 4 2/3 gallons are left in the tank

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