Evan is going to invest in an account paying an interest rate of 5.4% compounded continuously. How much would Evan need to invest, to the nearest dollar, for the value of the account to reach $1,360 in 12 years?

Answers

Answer 1

answer: 711

711.403641819=P

Answer 2

On solving the provided question, we can say that - the value of the simple interest will be $ 881.28.

What is interest ?

Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. The interest rate on the loan is known as this percentage.

here,

we have

P = 1360;

R = 5.4 ;

T = 12

so, we get,

SI = 1360 X 5.4 X 12 /100

SI =88128/100

= 881.28

Hence, On solving the provided question, we can say that - the value of the simple interest will be $ 881.28.

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Related Questions

pls answer if you can i need the answer right away

Answers

Answer:

What’s the question?

Step-by-step explanation:

??? where’s the question

What is the length of the hypotenuse of the triangle when x= 12?
6x+4
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)

Answers

Answer:

The length of the hypotenuse: c = 96.8 units

Step-by-step explanation:

Given the sides

a = 6x+4b = 5xc = hypotenuse = ?

Given that the x = 12

so

a = 6x+4 = 6(12)+4 = 76b = 5x = 5(12) = 60

Pythagorean Theorem:

For a right angled triangle with sides 'a' and 'b', the hypotenuse 'c' is defined as:

[tex]c=\sqrt{a^2+b^2}[/tex]

substituting a = 76 and b = 60

[tex]c=\sqrt{76^2+60^2}[/tex]

[tex]c=4\sqrt{586}[/tex]

[tex]c = 96.8[/tex] units

Therefore, the length of the hypotenuse: c = 96.8 units

Kate received $15 from her Nana on her birthday. Kate used this money to open a bank account, and added money each week as shown in the table. Interpret the y-intercept of the graph of this function.

Answers

Answer:

15

Step-by-step explanation:

x = time in weeks

y= dollars

so once x hits 0 they corresponding y will be the y intercept.

Find the gradients of lines A and B

Answers

Step-by-step explanation:

[tex]the \: gradient \: of \: line \: a \: is[/tex]

[tex]m = \frac{4}{1 } \\ m = 4[/tex]

[tex]the \: gradient \: of \: line \: b \: is[/tex]

[tex]m = \frac{ - 2}{1} \\ m = - 2[/tex]

Gradients of line A is equals to [tex]4[/tex] and gradients of line B is equals to [tex]-2[/tex].

What is gradients?

" Gradients is defined as the ratio of difference of y-coordinates  to the difference of x-coordinates."

Formula used

Gradients [tex]= \frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]

According to the question,

Given from the graph,

Coordinates of Line A

[tex](x_{1} ,y_{1} ) = ( 3,3)\\\\(x_{2} ,y_{2} ) = ( 4,7)[/tex]

Substitute the value in the formula we get,

Gradient of line A [tex]= \frac{7-3}{4-3}[/tex]

                              [tex]= 4[/tex]

Coordinates of Line B

[tex](x_{1} ,y_{1} ) = ( -1,3)\\\\(x_{2} ,y_{2} ) = ( -2,5)[/tex]

Gradient of line B [tex]= \frac{5-3}{-2-(-1)}[/tex]

                              [tex]= -2[/tex]

Hence, gradients of line A is equals to [tex]4[/tex] and gradients of line B is equals to [tex]-2[/tex].

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If $8000 is invested in an account for which interest is compounded continuously, find the amount of the investment at the end of 12 years for the following
interest rates.
(a) 2%
(b) 3%
(c) 4.5%
(d) 7%

Answers

Answer:

a) $1920, b) $2880, c) $4320, d) $6720

Step-by-step explanation:

a) Interest = Principal(Rate)(time)/100

  Interest = $8000(12)(2)/100

Interest = $1,920

b) Interest = $8000(3)(12)/100

Interest = $2880

c) Interest = $8000(4.5)(12)/100

Interest = $4320

d) Interest = $8000(7)(12)/100

Interest = $6720

Traveling upstream (against the current) in a boat, you can travel 35 miles in 7 hours. It
takes half the time (3.5 hours) to travel the same distance downstream (with the
current). Find the speed of the current.

Answers

Answer:

The speed of the current is 2.5 miles per hour

Step-by-step explanation:

Systems of Equations

Let's call:

B = velocity of the boat

C = velocity of the current

When traveling upstream, the current is against the boat thus the relative velocity is B-C.

The distance is the product of the velocity by the time. Since the boat takes 7 hours to travel 35 miles upstream, thus:

d=(B-C)*7=35

Dividing by 7:

B - C = 5       [1]

When traveling downstream, the current and the boat are collaborative and the relative velocity is B+C. The travel takes now 3.5 hours, thus:

d=(B+C)*3.5=35

Dividing by 3.5:

B + C = 10       [2]

Subtracting [2] - [1]:

2C = 5

C = 5/2 = 2.5

The speed of the current is 2.5 miles per hour

Write 72xy^2 as a prime factorization. With the steps

Answers

I think that this number is already prime.

Step-by-step explanation:

I could be wrong

solve the inequality : 8<=2/3(3y-6)

Answers

Answer:

I'm assuming you meant [tex]8\leq \frac{2}{3} (3y-6)[/tex], if so the answer is [tex]\:y\ge \:6\:[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

y_>-6

Step-by-step explanation:

8<=2y-4

2y-4>=8

2y-4+4>=8+4

2y>=12

2y/2>=12/2

Factor the expression 4x + 32. Explain each step you
take in the process.

Answers

Answer:

4x + 32 = 4x + 4.8 = || 4. (x + 8) ||

Step-by-step explanation:

Answer:Sample Response :The GCF of 4x and 32 is 4, so the first step is to divide each term by 4. The quotients are x and 8. The factored expression will be 4(x + 8).Step-by-step explanation:Don't bother giving me brainliest i had 5 of them but they get deleted for no reason so don't give me brainliest even thoguh i need 10 just don't it will get deleted by a person named KATIE

Match the lines m and n to the statements they represent

Answers

Answer:

Line n: A set of points where the coordinates of each point have a sum of 2

Line m: A set of points where the y-coordinate of each point is 10 less than the x-coordinate

Step-by-step explanation:

Given

Lines m and n (See attachment)

Required

Interpret both lines

First, we pick few coordinates of line m and then line n.

For m

[tex](x_1,y_1) = (13,3)[/tex] -- At point E

[tex](x_2,y_2) = (6,-4)[/tex] -- At point B

[tex](x_3,y_3) = (2,-8)[/tex]  -- At point D

For n

[tex](x_1,y_1) = (-2,4)[/tex] -- At point A

[tex](x_2,y_2) = (6,-4)[/tex] -- At point B

[tex](x_3,y_3) = (12,-10)[/tex]  -- At point C

Test for Statement A:

Set of point with a sum of 2

i.e.

[tex]x + y = 2[/tex]

For m

[tex](x_1,y_1) = (13,3)[/tex] -- At point E

[tex]x_1 + y_1 = 13 + 3 = 16[/tex]

This statement is not true for line m

For n

[tex](x_1,y_1) = (-2,4)[/tex] -- At point A

[tex]x_1 + y_1 = -2 + 4 = 2[/tex]

[tex](x_2,y_2) = (6,-4)[/tex] -- At point B

[tex]x_2 + y_2 = 6- 4 = 2[/tex]

[tex](x_3,y_3) = (12,-10)[/tex]  -- At point C

[tex]x_3 + y_3 = 12- 10 = 2[/tex]

This statement is true for line n

Test for Statement 2:

Set of points where y is x - 10

i.e.

[tex]y = x - 10[/tex]

For m

[tex](x_1,y_1) = (13,3)[/tex] -- At point E

[tex]y_1 = x_1 - 10[/tex]

[tex]3 = 13 - 10[/tex]

[tex]3 = 3[/tex]

[tex](x_2,y_2) = (6,-4)[/tex] -- At point B

[tex]y_2 = x_2 - 10[/tex]

[tex]-4 = 6 - 10[/tex]

[tex]-4 = - 4[/tex]

[tex](x_3,y_3) = (2,-8)[/tex]  -- At point D

[tex]y_3 = x_3 - 10[/tex]

[tex]-8 = 2 - 10[/tex]

[tex]-8 = -8[/tex]

This statement is true for line m

A recipe for 6 people uses 250g
of flour. How much flour will be
needed to make the recipe for 15
people?

Answers

Answer:

625

Step-by-step explanation:

250/6 =41.6666666667

41.6666666667x15 = 625

Help me if you can ​

Answers

Answer:

she would be 6'2 aka 74 inches

Step-by-step explanation:

T = 4 S or S = 1/4 T

T = 4 S = 4 (18,5 inches)

Hope this helps!! Have an amazing day!!

The data set shows how many points Mark scored in each basketball game he played this season.
1.4, 4.5,5, 7, 8, 8, 10, 11, 11, 11, 14, 15, 16
The box plot shown is a summary of the data.
Move numbers to the spaces to label the values and complete the box plot.
*not drawn to scale
1
5
8
9
11
12
14
15
16

Answers

Answer:

1,5,8,11,16

Step-by-step explanation:

HEEEEEELP
A souvenir store sells postcards and magnets.
Each postcard costs $1, and each magnet costs $3.
If Annalee purchased a total of 10 postcards and
magnets that cost a total of $22 before tax, how many
magnets did she purchase?
A) 3
B) 4
C) 5
D) 6
4

Answers

Answer:

6

Step-by-step explanation:

Answer:

D) 6

Step-by-step explanation:

Assumption method:

Assume all are postcards.

Total cost of postcards = 10 × $1

                                       = $10

Difference between total = $22 - $10

                                          = $12

Difference between subjects = $3 - $1

                                                 = $2

No. of magnets = $12 ÷ $2

                          = 6

Write an equation parallel to x - 2y = 4 that passes through the point (-8, 2).

Answers

Answer:

y=1/2x+6

Step-by-step explanation:

Change to slope intercept form: y=1/2x-2

Take out the b term

Plug in point (-8, 2)

Get b as 6

Plug in b

Get y=1/2x+6

You purchase 3 action figures per week. You have 27 action figures, which is 60% of the total number of action figures you need to complete your collection. How many weeks until your collection is complete?

Answers

27/.6=45 total in collection
45-27=18
18/3 per week=6 weeks

Which of the following statements about tornadoes is true

Answers

Answer:

I think the second one and the last one

Step-by-step explanation:

please mark me as brainliest thank you

Answer:

D.) Most tornadoes have wind speeds greater than 105 kph

Step-by-step explanation:

took the quiz

Lori lives 272 miles from her grandparents, 411 miles from her aunt, and 39 miles from her cousins. About how much closer does Lori live to her grandparents than to her aunt?

Answers

Answer:

139 miles

Step-by-step explanation:

Lori lives 272 miles from her grandparents

411 miles from her aunt

39 miles from her cousins

Therefore the distance in which Lori lives to get grandmother than her aunt can be calculated as follows

= 411 miles - 272 miles.

= 139 miles

0.15(y-0.2)=2-0.5(1-y)

Answers

Answer:25

Step-by-step explanation:

it 25 bc if u add them and then subtract then u get 25

Type SSS, SAS, ASA, SAA, or HL

to justify why the two smaller triangles are
congruent.

Answers

Answer:

SSS

Step-by-step explanation:

They are congruent because they have 3 same sides.

Translate the phrase into an algebraic expression. The difference of w and 6

Answers

Answer:

w - 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Translate

"Difference" is subtraction

"w" is w

"6" is 6

Step 2: Write

w - 6

Identify the initial amount and the growth rate of the following:
Y = 9.8 (1.35)^t

Answers

Assuming t is a time unit.
The initial amount is when t = 0, so it is 9.8 * 1 = 9.8. The growth rate is how much the amount goes up by for every increase of 1 in t. This is 1.35 because that is the part being affected by t. we plug in 0 for t to get 9.8 as the initial amount. The growth rate is just 135% factor, or 35% more each time, because 1.35 is the base of the exponent.

please helppp

•••••••••••••

Answers

Answer:

if it is x-5, and y +3 than

a = -2,3

b = -1,5

c = -4,6

Step-by-step explanation:

if we are going in a

(x,y)

order and x-5, and y +3, than this should be correct.

Select the correct answer. if f(x) = ​

Answers

Answer:

A is the correcy asnwer

Step-by-step explanation:

Answer:

C. y = - f(x) - 3

Step-by-step explanation:

Given parent function:

f(x) = √x

The graphed is reflection of the parent function over x-axis and translated 3 units down. This is:

y = - f(x) - 3

Correct option is C

Mr. Verrengia bought some math supplies at the local math depot. He
doesn’t remember how much money the items cost, but knows that
the 5% sales tax came to $1.25. How much money did he spend on the
math supplies before tax?
I need to know quick!

Answers

Answer:

6.25

Step-by-step explanation:

In a box of chocolates, 1/5 of the chocolates contain nuts.
The rest of the chocolates do not contain nuts.
Write down the ratio of the number of chocolates that contain nuts to number of chocolates that do not contain nuts.
Give your answer in the form of 1:n

Answers

Answer:

The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4

Step-by-step explanation:

The parameters given are;

Proportion of the box of chocolates that contain nuts = 1/5

Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5

Therefore, we have in a box of chocolates with five chocolates;

The number of chocolates that contain nuts = 1

The number of chocolates that do not contain nuts = 4

Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.

5 squared + 6 squared​

Answers

Answer:

61

Step-by-step explanation:

25 + 36

Answer:

(5)^2 + (6)^2

25 + 36

= 61

hope it helps you

What is the domain of the square root function graphed below?

On a coordinate plane, a curve opens down to the right and goes through quadrants 1 and 2. The curve starts at (negative 4, 0) and goes through (negative 3, 1) and (0, 2).
x greater-than-or-equal-to negative 4
x greater-than negative 4
x greater-than-or-equal-to 0
x greater-than 0

Answers

Answer:

x greater-than-or-equal-to negative 4

Answer:

X is equal to or greater than four

Step-by-step explanation:

I got it right!!! hopefully you do too

Sean has a beginning balance of $328.15 in his account. He writes checks for the following amounts: $20.75, $43.58,
$30.45, and $29.72. What is the new balance in Sean's account?
$14.75

$203.65

$124.50

$307.40


Answers

Answer:

The new balance in Sean's account is $203.65

Step-by-step explanation:

The initial balance in Sean's account is $328.15. Then he writes checks for the amounts $20.75, $43.58, $30.45, and $29.72.  

The sum of his checks is $20.75 + $43.58 + $30.45 + $29.72 = $124.5

The new balance in Sean's account is the initial balance minus the sum of the amounts of the checks he wrote:

Final balance = $328.15 - $124.5 = $203.65

The new balance in Sean's account is $203.65

Pls help and take your time cuz if I get this wrong I fail WILL MARK BRAINIEST

Answers

the slope of the line is 7 because it is a slope
the lines slope is 7 hope you pass :)))
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