Lea invests a sum of money in a savings account with an interest rate of 3.4% compounded continuously. After 10 years, the balance is $1900. What is the amount of her initial investment?

Answers

Answer 1

Answer:

$1,352

Step-by-step explanation:

The computation of the initial amount is shown below:

As we know that

Ending value = Initial investment × e^{rate, time period}

$1,900 = Initial investment × e^{3.4%, 10}

$1,900  = Initial investment × e^0.34

$1,900  = Initial investment × 1.404947591

So, the initial investment is

= $1,900 ÷  1.404947591

= $1,352


Related Questions

The pink striped dress that Carolina had been admiring finally went on
sale. The original price was $150. The dress was marked 40% off. How
much money will Carolina save on the dress? How much will she pay for
the dress?

Answers

Answer:

she will save %60 and pay $90

Step-by-step explanation:

Tammy stopped at the bakery and picked up 2 dozen donuts and 2 cups of coffee. She paid $16.00. Coffee costs $2.00 a cup. Write an equation you can use to solve for d, the cost of 1 dozen donuts. Show your work.

Answers

Equation

2(2) + 2d = 16

Answer:

$6 for one dozen donuts

Step-by-step explanation:

1: 2 times 2 to get 4

2: 16 minus 4 to get 12

3: 12 divided by 2 to get 6

On Sunday, Sheldon bought 4 kg of plant food. He used 1 kg on his strawberry plants and used 1 kg for his tomato plants. Complete each of the 2 activities for this Task. Activity 1 of 2 How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached Activity 2 of 2 Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time. He will use the sar plant food as before. How much plant food will he need? Does he have enough left to do so? Explain your answer pictures, or numbers.​

Answers

Answer:

2 7/12

Step-by-step explanation:

Find the percent of change.
From $18 to $45.

Answers

Answer:

150

Step-by-step explanation:

(45-18):18*100 =

(45:18-1)*100 =

250-100 = 150

Answer:

Hope this helps

Step-by-step explanation:

Since your going from 18 to 45, your increase of percentage would be 150%, and the difference is 27.

Apply the distributive property to create an equivalent expression.
6(5x−3)=

Answers

Answer:

12

Step-by-step explanation:

6(5x−3)=

6 * 5 - 6 * 3 = 12

30 - 18 = 12

12 = 12

Hey there!

The distributive formula is:

a(b + c)

= a(b) + a(c)

= ab + ac

Now let’s solve for your given equation!

6(5x – 3)

= 6(5x) + 6(–3)

= 30x – 18

Answer: 30x – 18 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

I started walking at 4pm when I finished the hour hand of the clock turned 90 degrees what time did I finish

Answers

Answer:

7 P.M.

Step-by-step explanation:

Time at which the walk was begun = 4 p.m.

Finished after rotating the clock 90° i.e. = 3 hours

Thus,

The time at which the task finished = 4 p.m. + 3hours

= 7:00 PM

Help i will brain listHelp i will brain list

Answers

Answer:

The associative property will be:

[tex](14\textbf{.}\frac{1}{7})\frac{2}{5}[/tex]

So, Option C is the correct option.

Step-by-step explanation:

We need to write the expression that uses the associative property to make it easier to evaluate: [tex]14(\frac{1}{7}\textbf{.}\frac{2}{5} )[/tex]

The associative property of multiplication states that: [tex]a(b\textbf{.}c)=(a\textbf{.}b)c[/tex]

So, For the given expression:

[tex]14(\frac{1}{7}\textbf{.}\frac{2}{5} )[/tex]

The associative property will be:

[tex](14\textbf{.}\frac{1}{7})\frac{2}{5}[/tex]

So, Option C is the correct option.

Answer: Option C is the correct option.

The associative property will be:

So, Option C is the correct option.

Step-by-step explanation:

We need to write the expression that uses the associative property to make it easier to evaluate:

The associative property of multiplication states that:

So, For the given expression:

The associative property will be:

So, Option C is the correct option.

9 3/4 - 1 1/3 = answer in simplest form

Answers

8 5/12 when you simplify.

if 9 in the beginning is with the 3/4 the answer is 6 1/12

steps:first convert 9 3/4 into improper fraction so it equals 39/4 then subtract 39/4-11/3 and you get 73/12 or 6 1/2
hope this helps!

Which set of points on the graph represents equivalent ratios?
points C, D, and F
points B, C, and D
points B, C, and F
points A, C, and D

Answers

Answer:

points A C and d <3

Step-by-step explanation:

Answer:

i dont know show a pic

Step-by-step explanation:

a Basketball ticket costs $45 but they are having a promotional game night and all tickets are 25% off what is the new price of the ticket​

Answers

Answer:

33.75

Step-by-step explanation: Because $11.25 is 30% of $45. So then the subtract 11.25 from 45 giving you $33.75

IM BEGGING PLZ! I’ll mark brainliest! Plz!

Answers

Answer:

Step-by-step explanation:

SOHCAHTOA

Sine is opposite over hypotenuse

Cosine is adjacent over hypotenuse

Tangent is opposite over adjacent

In this context, opposite means the side opposite of the angle. Adjacent means the side that is touching the angle. And the hypotenuse is the longest side, which is usually visually obvious.

3.) tan(25) = x/31

Use a calculator for tan(25), then multiply both sides by 31 to get your x value.

x = 14.5

4.) cos(48) = 17/x

Use a calc to do 17/cos(48) to get the x value

x = 25.4

5.) sin(theta) = 17/18

Divide 17/18, then take the inverse sine of both sides with a calculator to get the theta value

theta = 70.8 degrees

6.) tan(theta) = 31/42

Divide 31/42, then take the inverse tangent of both sides with a calc.

theta = 36.4 degrees

7.) Your best bet is to draw a picture. For my case, Im going to imagine it. The angle is 35 degrees and the hypotenuse is 300 feet. The question is asking for the opposite of the angle. This calls for sine.

sin(35) = x/300

x = 172.1 feet

nio
12
5. Order from least to greatest.
9
95%,
10
17 94
0.951,
20' 100

Answers

Answer:

Least to Greatest: [tex] \frac{17}{20} , \: \frac{9}{10} , \: \frac{94}{100}, \: 0.95, \: 0.951[/tex]

Step-by-step explanation:

☆I converted all to decimal form so that it was easier to see which is greater.

▪0.95, 0.9, 0.951, 0.85, 0.94

☆Now I ordered them from least to greatest.

0.85, 0.9, 0.94, 0.95, 0.951

☆Then I simply switched them to the original form.

[tex] \frac{17}{20} , \: \frac{9}{10} , \: \frac{94}{100}, \: 0.95, \: 0.951[/tex]

what is 52% of 25 if you answer your the first to answer you get 25 points

Answers

Answer:

13

Step-by-step explanation:

convert 52% into a decimal which is 0.52 then mulitply by 25 to get your answer

52% of 25 is 13. I hope this helped :)

Determine the measure of the ∠BAC.

Answers

Answer:

180-94=86

Step-by-step explanation:

117 and x adjacent angles what is the value of x

Answers

17 because you multiply the 17 and x

Ben buys hockey tickets for $150.00. He uses a coupon for 10 percent off. Ben will pay $135.00 for the tickets

Answers

Answer:

True/ He has enough

Step-by-step explanation:

10% of 150 is 15, therefore 150 - 15 = 135, so he has enough to pay for the tickets.

HELP PLS PLS PL SPLSLSSPPS

Answers

Answer:

x ≈ 73.3

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos39° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{57}{x}[/tex] ( multiply both sides by x )

x × cos39° = 57 ( divide both sides by cos39° )

x = [tex]\frac{57}{cos39}[/tex] ≈ 73.3 ( to the nearest tenth )

Brainliest n 15 Points
Pythagorean Theorem
Find the length of the third side to the nearest tenth.

Answers

The answer would be 6.3, Three squared is nine and the missing side needs to equal 49. 6.3 squares and 3 squared will equal 49.

help me. Need before 4 pm tomorrow

Answers

Answer:

theres an app thhat can help trust me i understand its hard lolll

Step-by-step explanation:

[tex]\frac{1}{4}w-3\ \textless \ 3[/tex]

Answers

Answer:

x<24

I believe

Step-by-step explanation:

Which Digit(s) make the solution of the equation the whole number

5x-28 = 5...

Answers

Answer: x=33/5

Step-by-step explanation:

5x-28=5

5x=33

x=33/5

How is sleet different from hail?

1:Hail falls to the ground as liquid water, and sleet is solid.
2:Hail falls with rain and snow, and sleet only falls with snow.
3:Sleet can happen during thunderstorms, and hail cannot.
4:Sleet pellets are smaller than hail.

Answers

I would say 4, but I’m not positive. I’m so sorry if that’s incorrect!

The diameter of a circle is 18 m. Find its circumference in terms of pi.​

Answers

Answer:

56.54867 but rounded off that will be 56.55

( here's more information

Radius

9

Diameter

18

Circumference

56.54867

Area

254.469 )  

The circumference of the circle is 18π meters.

What is circumference?

The distance along a circle's perimeter is referred to as its circumference.

The circumference of a circle can be found by the formula: C = πd, where d is the diameter of the circle.

Given that the diameter of the circle is 18m, we can find its circumference by:

C = πd

C = π18

C = 18π

Therefore, the circumference of the circle is 18π meters.

To learn more about the circumference;

https://brainly.com/question/12512221

#SPJ2

What is the answer to 7/8-6/7

Answers

Answer:

The answer is 1/56 simplified

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{7}{8} - \frac{6}{7} = \frac{7 \times 7 - 6 \times 8}{7 \times 8} \\ \\ \frac{49 - 48}{56} = \frac{1}{56} [/tex]

what makes an equation proportional

Answers

Answer:

(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") ... This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

Step-by-step explanation:

I hope this help  btw can i get brainliest  this would be my first time

In which equation is Y a non-linear function of X

A. Y = 2x - 4
B. Y = divided by X
C. Y = 8 - 2x / 3
D. Y = x - 9 / 3 + 2x

Answers

Answer:

i think a but i could be wrong

Step-by-step explanation:

What the answer I don’t know it

Answers

The answer is B since a negative number being subtracted cancels out and becomes a number, for example: since its -(-3) it becomes positive.

Answer:

A

Step-by-step explanation:

because negative minus negative is positive so its negative 6 plus 3

What is the value of c in the equation below?

Answers

Answer:  1/4

===============================================

Explanation:

We'll use the rule

x^y*x^z = x^(y+z)

This says that when we multiply exponential expressions with the same base, we add the exponents. In this case, the base is 2 so x = 2.

The exponents we're adding are -4 and 2

So,

2^(-4)*2^2 = 2^(-4+2) = 2^(-2)

This matches up with the a^b to show that a = 2 and b = -2

Furthermore, we'll use the rule that x^(-y) = 1/(x^y) to go from 2^(-2) to 1/(2^2) = 1/4 which is the value of c.

Darlene earns $12.10/h. She works for 33 h one week. How much did she earn? During the week ($399.30) she spent $105 on herself. She gave $10
to charity. The rest of her earnings she put into savings.
How much money did she put into savings?

Answers

284.30 also my name is Darlene

9(-6+4h). Help me please

Answers

Answer:

-54+36h

Step-by-step explanation:

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