Tara placed $1200 in a savings account which compounds interest continuously at a rate of 1.4%.


How much will she have in the account after 3 years?

Round your answer to the nearest dollar.

Do NOT round until you have calculated the final answer.

Answers

Answer 1

Answer:

$1,251

Step-by-step explanation:

Formula: [tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Plug the values into the formula; solve:

[tex]r = \frac{r}{100}[/tex]

[tex]r = \frac{1.4}{100}[/tex]

[tex]r = 0.014[/tex]

0.014 rate per year

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

[tex]A = 1,200.00^{(2.71828)}^{(0.014)(3)}[/tex]

[tex]A = $1,251.47\\[/tex]

1,251.47 is 1251 rounded because the first value after the decimal point is not greater or equal to 5.

Answer 2

Answer:

1251

Step-by-step explanation:


Related Questions

How is compound interest different from simple interest?
O A. Compound interest accrues on the down payment as well as the
principal.
B. Compound interest accrues only on the initial amount borrowed.
C. Compound interest accrues daily, monthly, or quarterly rather than
annually.
D. Compound interest accrues on the interest, as well as the
principal.

Answers

Answer:

D. Compound interest accrues on the interest, as well as the

principal.

Answer:

D. Compound interest accrues on the interest, as well as the

principal.

Step-by-step explanation:

3x+4y+6z=15
Solve for x.​

Answers

Answer:

[tex]x = 5 - \frac{4}{3} y - 2z [/tex]

Step-by-step explanation:

Question:-To solve for x

Equation:-3x + 4y + 6z = 15

Solution:-

=> 3x + 4y + 6z = 15

[On subtracting both sides with 4y]

=> 3x + 4y + 6z - 4y = 15 - 4y

[On Simplification]

=> 3x + 6z = 15 - 4y

[On subtracting both sides with 6z]

=> 3x + 6z - 6z = 15 - 4y - 6z

[On Simplification]

=> 3x = 15 - 4y - 6z

[On dividing both sides with 3]

[tex] = > \frac{3x}{3} = \frac{15 - 4y - 6z}{3} [/tex]

[On Simplification]

[tex] = > x = 5 - \frac{4}{3} y - 2z \: (ans)[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{QUESTIONS:}[/tex]

3x+4y+6z=15 Solve for x.

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{ANSWER:}[/tex]

[tex]x = 5 - \frac{4}{3} y - 2z[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{SOLUTION:}[/tex]

[tex]3 \orange{+ 4y + 6z = 15}[/tex]

Move the variables to the right-hand side and change their signs.

[tex]3x = 15 \orange{ - 4 - 6z}[/tex]

Divide both sides of the equation by 3

[tex]\orange{3x = 15 - 4 - 6z}[/tex]

[tex]↓[/tex]

[tex]\orange{x = 5 - \frac{4}{3} y - 2z}[/tex]

The x-intercepts of 3x+4y+6z=15 is

[tex]x = 5 - \frac{4}{3} y - 2z[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

#CarryOnlearning

2v-3(v+5) simplify answer

Answers

3v•2.


Add 2v and v

Add -3 and 5

Answer:

-v-15

Step-by-step explanation:

This is the answer.

Have a good day.

Let me know if you need an explanation.  

Full explanation and answers on these 2 questions please. Also only answer if u know what ur doing.

Answers

Step-by-step explanation:

Q3

25 - (x-8)²/4 = [100 - (x-8)²]/4

[100 - (x²- 16x + 64)]/4

(100 - x² + 16x - 64)/4 = (-x² + 16x + 36)/4

(36 + 16x - x²)/4 = (36 - 2x + 18x - x²)/4

[2(18 - x) + x(18 - x)]/4 = [(2 + x)(18 - x)]/4

....proved

Q4

3(ax + 7) - 2(x + b) = 4x + 29

expanding,

3ax + 21 - 2x - 2b = 4x + 29

3ax - 2x + 21 - 2b = 4x + 29

Comparing terms; x terms,

3ax - 2x = 4x

3a - 2 = 4

3a = 6

a = 6/3

a = 2

constant terms,

21 - 2b = 29

21 - 29 = 2b

2b = -8

b = -8/2

b = -4

.... proved

It costs a man 75 dollars to buy the things that he needs to make hot dogs. The city allows him to sell his hot dog somewhere near the city hall. However, the city hall charges him 1 dollar for each hot dog sold


Calculate how many hotdogs he will have to sell in order to make a profit if the price he charges for 1 hot dog is $1.50.

Answers

Answer
x = 150
Explanation
Based on the given conditions, formulate:
Rearrange unknown terms to the left side of the equation:
Combine like terms:
Divide both sides of the equation by the coefficient of variable:
Remove the parentheses:
Calculate the product or quotient:
Answer: x = 150


It costs $4.00 for 25 fl. oz. of detergent or $3.40 for 20 oz. Which is a better buy?

Answers

the 25 oz container is better because the unit price is 16 cents an oz and the unit price for the 20 oz is 17 cents

Ashleigh went to Cape Canaveral to watch the space shuttle take off. The solid rocket boosters are ejected after the shuttle passes through the threshold of space. This is scheduled to occur when the shuttle reaches a height of 354,200 feet. If Ashleigh is 10 miles from the launchpad, what will be the angle of elevation she has to look up to see the boosters ejected?

Answers

La respuesta es yo no se que es la resquesta

Factor w2 + 3w+w + 3 by grouping,

Answers

Answer:

(w+3)(w+1)

Step-by-step explanation:

In w^2 + 3w+w + 3,

we group it so that it looks like (w^2+w) + (3w+3)

Then we factor so that is w(w+1) + 3(w+1).

Distributive property(converse) allows us to simplify to (w+3)(w+1)

solve for x where xe(0,2pi). state exact answers.
b)
[tex] \frac{1}{ \sqrt{3} } \sin(2x) + \cos(x) = 0[/tex]
e)
[tex]3 \cos(x) + \tan(x) = 0[/tex]
Note: for question e, get this equation to a point ready for factoring or to use the quadratic formula, then stop. make sure its in standard form.​

Answers

Answer:

that's the correct answer

Divide £121 in the ratio 2:9.

Answers

is this one of your answer choice?

help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast

Answers

Answer:

4

Step-by-step explanation:

The number in from of sin is the frequency

Answer:

4

Step-by-step explanation:

(15 points) Critique Reasoning Jamie says that the
expressions 6x - 2x + 4 and 4(x + 1) are not
equivalent because one expression has a term
that is subtracted and the other does not. Do
you agree? Explain.
a

Answers

Answer:

they are the same

Step-by-step explanation:

6x - 2x + 4 ← collect like terms

= 4x + 4

and

4(x + 1) ← distribute parenthesis by 4

= 4x + 4

The 2 expressions are equivalent to 4x + 4

Answer:

No, Jamie is incorrect

Step-by-step explanation:

No, because in the expression 4(x+1)  you will first need to multiply 4 by x, your result is 4x, and then you multiply 4 by 1, you get 4, so the answer will be 4x+4.

Also in the expression 6x-2x+4  ,you will first need to subtract 2x from  6x, your result is 4x ,and then you add 4 , so the answer will be 4x + 4

Our final answer is:

6x-2x+4 = 4x + 4 and 4(x+1) = 4x + 4

how do you write this expression in word form?

Answers

Answer:

d-7 divided by 2 or over 2

4x+6<-6 how to solve

Answers

Answer:

The answer is below.

Step-by-step explanation:

4x<-6-6

4x<-12

x= -3

Inequality form:

x< -3

Interval Notion:

(-8,-3)

Note: Turn the -8 on the sideways on the right, because its not 8.

Answer: x < -3

Step-by-step explanation: 4x+6=-6

                                                   -6  -6

                                                     4x/4      -12/4

                                                            x<-3

0.1/0.5=X/10 what is x

Answers

0.1/0.5 is the same as 1/5

1/5 = X/10

we times both sides by 10 to get x on its own

1/5 x 10 = 10/5 = 2 ( which equals X/10 x 10)

X/10 x 10 = X

2 = X

Anyone know how to work this problem? I need to find the domain and range

Answers

Answer:

Step-by-step explanation:

Domain : [-9,-3]

Range: [2,6]

Answer:

um I think it's the range is 30

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )

Answers

36 / k+3 = 44 / k+5

crossmultiply:
44k + 132 = 36k + 180
8k = 48
k = 6

? / 6 = 44 / 11
? / 6 = 4 / 1

cross multiply:
? = 24

Answer:

k=6

?=24

Step-by-step explanation:

[tex] \frac{ln}{xz} = \frac{nm}{zy} = \frac{lm}{xy} [/tex]

[tex] \frac{36}{k + 3} = \frac{44}{k + 5} [/tex]

Now we just cross multiply

44(k+3)=36(k+5)

44k+132=36k+180

Take k-values to one side

44k-36k=180-132

8k=48

k=6

Now we can use k to find ?

[tex] \frac{44}{6 + 5} = \frac{36}{6 + 3} = \frac{?}{6} [/tex]

once simplified we get:

[tex] \frac{44}{11} = \frac{36}{9} = \frac{?}{6} [/tex]

[tex]4 = 4 = \frac{?}{6} [/tex]

in essence we know that:

[tex] \frac{4}{1} = \frac{?}{6} [/tex]

so we can cross multiply:

?=24

About how many years ago did Jesus live

A.10,000
B. 5,000
C. 2,000
D. 1,000

Answers

Jesus was born in 4 BC (more or less) and live to be 33 years old, which means His death was around 29 AD (more or less). That was precisely, 1992 years ago

what is the answer to this question?

posted a picture for better understanding:)

Answers

Answer:

5

Step-by-step explanation:

Usually, the sequence is [tex]a_{1}, a_{2}, a_{3}, a_{4}, ..., a_{n}[/tex] where n is a postive number.

From the question,

[tex]a_{n} = a_{n-1} - 5[/tex]

if n = 2 ;  

[tex]a_{2} = a_{1} - 5[/tex]

[tex]a_{2} = 20 - 5 = 15\\[/tex]

Thus, we got [tex]a_{2} = 20[/tex].

if n = 3 ;  

[tex]a_{3} = a_{2} - 5[/tex]

[tex]a_{3} = 15 - 5 = 10[/tex]

Thus, we got [tex]a_{3} = 10[/tex].

if n = 4 ;  

[tex]a_{4} = a_{3} - 5[/tex]

[tex]a_{4} = 10 - 5 = 5[/tex]

Thus, we got [tex]a_{4} = 5[/tex].

***There are many ways to solve this question

example:

[tex]a_{n} = a_{n-1} - 5[/tex]

[tex]a_{n} - a_{n-1} = - 5[/tex]

Substitute n with 2, 3, 4

Then, we will get 3 equations.

Sum them up;

We will get

[tex]a_{4}-a_{3}+a_{3}-a_{2}+a_{2}-a_{1} = -15\\a_{4}-a_{1} = -15\\a_{4} = -15+20 = 5[/tex]

So when you are adding fractions how do you know when you need to simplify the numbers and how do you simplify?

Answers

Let's look at an example.

We'll add the fractions 1/6 and 1/8

Before we can add, the denominators must be the same.

To get the denominators to be the same, we can...

multiply top and bottom of 1/6 by 8 to get 8/48multiply top and bottom of 1/8 by 6 to get 6/48

At this point, both fractions involve the denominator 48. We can add the fractions like so

8/48  + 6/48 = (8+6)/48 = 14/48

Add the numerators while keeping the denominator the same the entire time.

The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.

14/2 = 748/2 = 24

The fraction 14/48 reduces to 7/24

Overall, 1/6 + 1/8 = 7/24

Multiply and write in standard form:
(2x + 1)(5x - 2)
Show all work for full credit.

Answers

Answer:

10x^2+x-2

Step-by-step explanation:

(2x+1)(5x-2)

10x^2+5x-4x-2

10x^2+x-2

how to fix my calculator please help meee i cuold not fix it plsss what to do​

Answers

so, you must have some kind of device for you to make a question on brainly. if you are using your phone, there is probably an already installed calculater app on there. if you don't have one, go to app store or play store and download it. if you are using computer, simply search it. of course, you can also use your phone and just search it on the web.

Answer:

by a new one?????

Step-by-step explanation:

Please confirm my answer to be correct

Answers

Answer:

Actually, Corresponding angles are congruent.

Step-by-step explanation:

They are only supplementary in the special case where they are both 90°

Answer:

Option D

Step-by-step explanation:

Since we know that measure of corresponding angles are equal. So, corresponding angle are congruent to each other

What is 5,783 divided by 6 ?​

Answers

I would suggest to do future long division by learning the steps with an acronym. For me, I use DMSB, which stands for Divide, Multiply, Subtract, Bring Down. An example is attached below.To solve this particular equation, you would get 963.33333... which would round to 963.3I hope this helps!

963.3

MCQS:
Solve for X: X-3 = 27/64

A. 42
B. 43
C. 34
D. 14

Answers

Answer:

219/64

Step-by-step explanation:

x - 3 = 27/64

64(x - 3) = 27

64x - 192 = 27

64x = 27 + 192

64x = 219

x = 219/64

Answer:

[tex]x = 3.4218[/tex]

Step-by-step explanation:

[tex]x -3=\frac{27}{64}[/tex]

[tex]64(x-3)=27[/tex]

[tex]64x-192=27[/tex]

[tex]64x=27+192[/tex]

[tex]64x=219[/tex]

[tex]\frac{64x}{64} =\frac{219}{64}[/tex]

[tex]x = 3.4218[/tex]

Hope this helps you :-)

Let me know if you have any other questions :-)

A dog runs 100 meters in 4 seconds. A lion runs 250 meters in 10 seconds.
What is the difference in their speeds?

Answers

Answer:

C their speeds are equal

Answer: C) Their speeds are equal

Step-by-step explanation:

Use the speed-distance equation

Dog - s=d/t = 100/4 = 25m/s

Lion - s=d/t = 250/4 = 25m/s

Please please help me​

Answers

[tex]1)3k - 2k \\ = k(3 - 2) \\ = k(1) \\ = k[/tex]

[tex]2) {5x}^{2} - 10x - {8x}^{2} + x \\ = {5x}^{2} - {8x}^{2} - 10x + x \\ = - 3 {x}^{2} - 9x \\ = - 3x(x - 3)[/tex]

[tex]3) - (m + n) + 2(m - 3n) \\ = - m - n + 3m - 6n \\ = - m + 2m - n - 6n \\ = m - 7n [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

A 2-gallon bottle of fabric softener costs $16.64. What is the price per cup?

Answers

Answer:

each cup would cost $0.52

Step-by-step explanation:

there are 16 cups in 1 gallon so you multiply that by two. Then you have 32 so you divide 16.64 by 32 and you end up with 0.52.   hope this helped :))

Tell me I got this wrong

A bottle rocket takes off with a speed of 13 m/s and is angled 55 degrees above the horizon. What is the Y component of the velocity ?

Answers

Step-by-step explanation:

Let the speed of bottle rocket be u and angle with horizon be A.

Then,

u= 13m/s

A= 55°

Now,

we know that,

x- component,

X= 13 cosA

Y-component,

Y = 13 sinA

=13×0.81915

=10.649 m/s ANS

An undersea explorer descends from the surface at a rate of 36 feet per minute.

What is the position of the undersea explorer relative to the surface after descending for 4 minutes?

Enter your answer in the box.

Answers

Answer:

-144 feet from the surface in 4 minutes

Step-by-step explanation:

-36 x 4

With the same rate, the position of the undersea after 4 minutes will be -144.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

Rate of descends = 36 feet per minute

After 4 minutes,

36 x 4 = 144

Since it is descending so it can be said to be -144.

Hence "After 4 minutes at the same rate, the position of the undersea will be -144".

To learn more about the rate of change here,

brainly.com/question/12786410

#SPJ2

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