Sara invests $4000 at 7.2% annual interest compounded monthly. Find the final amount of Sara's investment after 15 years. *

Answers

Answer 1

Answer:

$8,711.99

Step-by-step explanation:

The formula for calculating the compound interest in expressed as;

A =P(1+r/n)^nt

Principal P = $4000

r is the rate = 7.2% = 0.072

t is the time = 15years

n = 1/12

Substitute

A = 4000(1+0.072(1/12))^15/12

A = 4000(1+0.072(12))^1.25

A = 4000(1+0.864)^1.25

A = 4000(1.864)^1.25

A = 4000(2.1779)

A = 8,711.99

Hence the final investment after 15years is $8,711.99


Related Questions

If you fail two semesters will you be held back?

Answers

Yes if you are in high school not middle school

umm...... No because 1 haven't give any semester

4 - (x + 1) = 6

Someone please help :^:

Answers

Hope this helps please mark me brainliest

Answer:

x = -3

alicia is a nurse in 2016 she earned a monthly salary of £1750

Answers

Answer:

Step-by-step explanation:

Given :

Salary in 2016 = 1750

Pay rise in 2017 = 2%

Monthly salary = (1 + 2%) of 175= 1.02 * 1750 = 1785

Hours worked per week = 45 hours

Number of weeks = 48 weeks

The total hours worked for the year :

(48 * 45) = 2160 hours

Average pay per hour for the year ;

(Average Salary earned over 12 months) /total number of hours worked for the year

(1785 * 12) / 2160

= 21420 / 2160

= 9.9166 per hour

= $9.92 per hoj

ANSWER PLEASEEEE!!!!!!!!!!!

Answers

Answer:

2^-6 is the correct answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{1}{64}[/tex]

=[tex]\frac{1}{2^6}[/tex]

according to the indices rule if u take denominator to the numerator the it exponent must be negative if it is positive and vice versa.So.

=[tex]2^{-6}[/tex]

Help needed!! Don’t know how to do!!

Answers

Answer:

D,0,2,-2

Step-by-step explanation:

2x^5-3x^3-20x=0

x(2x^4-3x^2-20)=0

x=0

or 2x^4-3x^2-20=0

put x²=t

2t²-3t-20=0

-20×2=-40

8-5=3

8×-5=-40

2t²-(8-5)t-20=0

2t²-8t+5t-20=0

2t(t-4)+5(t-4)=0

(t-4)(2t+5)=0

t=4

x²=4

x=2,-2

t=-5/2

x²=-5/2

it gives imaginary  root. so real rational roots are 0,2,-2

Answer:

D

Step-by-step explanation:

1) Factorise x

x(2x^4-3x^2-20) = 0

a product is equal to 0 when at least one factor is equal to 0.

so a solution is

x = 0

we have now to solve

2x^4 - 3x^2 - 20 = 0

we can put

x^2 = y

and we have

2y^2 - 3y - 20 = 0

it is now an equation of second degree

Δ = 9 + 160 = 169

y1 = (3 + 13)/4 = 4

y2 = (3 - 13)/4 = -10/4 = -5/2

for the previous relationship we have

x^2 = 4

x = 2

x = -2

x^2 = -5/2

a square number can’t be negative, so this equation is impossible.

In conclusion we can say that the original equation has three solution:

0, -2, 2

Which of the following sets of points is a direct variation?
(0, 0); (-1, -2); (1, 2)
(0, 0); (2, 4); (5, 15)
(3,6); (-2, 4); (-1,2)
(0,5); (1, 6); (2,7)

Answers

The first one because I just didn’t at clases

Consider a figure in a coordinate plane. For each of the transformations below, first, transform the figure as stated. Then reverse the order of the sentences and transform the original figure a second time. Did the sequences result in the same image or a different image? Drag and drop each transformation in the cell with the appropriate heading

Answers

Answer:

no

Step-by-step explanation:

If two heterozygous individuals are crossed, what
percent of their offspring are also expected to be
heterozygous?

Complete the punnet square plssssss

Answers

Answer:

50%

Step-by-step explanation:

Example of Aa crossed with Aa (both hetero).

Outcomes are:

AA (homo)

Aa (hetero)

aA (hetero)

aa (homo)

So the ratio of hetero to all outcomes = 2:4 = 50%

A woman received 5 per cent interest on a loan of $300 for 1 year. How much interest did she receive? $5 $15 $30 $150 none of these

Answers

Answer:

15$

Step-by-step explanation:

this is because if you use our formula of I= prt

we can substitute our varibles for our equation

I= 300 x 0.05 x 1

we turn 5 in 0.05 to represent out rate, due to this our rate would have to be Simplified into a percent then a decimal

after this if we now proceed through our equation we will get

I = 300 x 0.05 x 1

I = 15

three-quarter the product of two numbers x and y, what is the algebriac expression?​

Answers

Answer:

x × y =3/4

Step-by-step explanation:

Product is the keyword and it is the answer to a multiplication equation. Thats why it is a multiplication symbol.

Have a great day! Late ik.

Lilac~

An algebraic expression for the given statement is 3/4 xy.

Given that, three-quarters is the product of two numbers x and y.

We need to write an algebraic expression for the given statement.

What is an algebraic expression?

Algebraic expressions are the mathematical statement that we get when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.

Now, the product of two numbers x and y=xy

Three-quarters is the product of two numbers x and y=3/4 xy

Therefore, an algebraic expression for the given statement is 3/4 xy.

To learn more about an algebraic expression visit:

https://brainly.com/question/19245500.

#SPJ2

someone help me out please:(

Answers

Answer:

[tex]m(x) = - 3x - 3[/tex]

Step-by-step explanation:

[tex]m(x) = f(x) - g(x)[/tex]

[tex]m(x) = (2x+1)−(5x+4)[/tex]

[tex]m(x) = 2x+1−(5x)−1 \times 4[/tex]

[tex]m(x) = 2x+1−5x−1 \times 4[/tex]

[tex]m(x) = 2x+1−5x−4[/tex]

[tex]m(x) = −3x+1−4[/tex]

[tex]m(x) = −3x−3[/tex]

Hope it is helpful...

For the equation y=2x + 6, find the value of y when
(a) x= 0 (b) x= 1
(c) x=2 (d) x=3

WITH CALCULATION AND EXPLANATION PLEASE.FULL CALCULATION

Answers

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \mathrm{ \underbrace{Answer}}[/tex]

The given equation is :

[tex] \huge \boxed{ y = 2x + 6 }[/tex]

Now, let's solve for each value of "x"

[tex]\mathrm {\hookrightarrow \:1. \: \: when \: \: x = 0}[/tex]

[tex]y = 2x + 6[/tex][tex]y = (2 \times 0) + 6[/tex][tex]y = 6[/tex]

[tex]\mathrm{\hookrightarrow 2.\: \: when \: \: x = 1}[/tex]

[tex]y = 2x + 6[/tex][tex]y = (2 \times 1) + 6[/tex][tex]y = 2 + 6[/tex][tex]y = 8[/tex]

[tex]\mathrm {\hookrightarrow \: 3. \: \: when \: \: x = 2}[/tex]

[tex]y = 2x + 6[/tex][tex]y = (2 \times 2) + 6[/tex][tex]y = 4 + 6[/tex][tex]y = 10[/tex]

[tex]\mathrm{\hookrightarrow \: 4. \: \: when \: \: x = 3}[/tex]

[tex]y = 2x + 6[/tex][tex]y = (2 \times 3) + 6[/tex][tex]y = 6 + 6[/tex][tex]y = 12[/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Equation = [tex]\large\bold{y = 2x + 6}[/tex]

a) [tex]x = 0[/tex]

Substitute the value of x as 0 in the equation.

[tex]y = 2x + 6 \\ y = 2(0) + 6 \\ y = 0 + 6 \\ y = 6[/tex]

Answer of a) is [tex]\large\bold{y = 6}[/tex]

____________________

b) [tex]x = 1[/tex]

Substitute the value of x as 1 in the equation.

[tex]y = 2x + 6 \\ y = 2(1) + 6 \\ y = 2 + 6 \\ y = 8[/tex]

✐ Answer of b) is [tex]\large\bold{y = 8}[/tex]

____________________

c) [tex]x = 2[/tex]

Substitute the value of x as 2 in the equation.

[tex]y = 2x + 6 \\ y = 2(2) + 6 \\ y = 4 + 6 \\ y = 10[/tex]

✐ Answer of b) is [tex]\large\bold{y = 10}[/tex]

____________________

d) [tex]x = 3[/tex]

Substitute the value of x as 3 in the equation.

[tex]y = 2x + 6 \\ y = 2(3) + 6 \\ y = 6 + 6 \\ y = 12[/tex]

✐ Answer of d) is [tex]\large\bold{y = 12}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Check the functions whose inverses are also functions.

On a coordinate plane, an absolute value function opens down.

On a coordinate plane, an exponential functions increases from quadrant 2 into quadrant 1.

On a coordinate plane, a cubic function has an x-intercept of (0, 0).

Answers

Answer:

b and c

Step-by-step explanation:

Answer:

Hands down c and b

Step-by-step explanation:

A traveling fair charges a $5.25 admission fee plus $0.75 for tickets to ride a roller coaster. candace has a budget of $15.50 to spend on her admission fee and roller coaster rides. how many tickets can candace buy?
A) 19 tickets
B) 15 tickets
C) 14 tickets
D) 13 tickets

Answers

Answer:

13

Step-by-step explanation:

Classify the following triangle. Check all that apply.
DA. Isosceles
D B. Obtuse
C. Scalene
E D. Acute
E E. Equilateral
D F. Right

Answers

Answer:

A . Isosceles

Step-by-step explanation:

An isosceles triangle has both two equal sides and two equal .

A dolphin is 9 feet below the surface of the ocean. If its position can be recorded as −9 feet, what would the position of 0 represent?

Answers

Answer: The surface of the ocean

Answer: It represents being at the surface

Negative values are below the surface, while positive values are above the surface.

In other words, -9 means 9 feet below sea level. The value 0 is at sea level. Something like 12 means you're 12 feet above sea level.

Please Help Quick ASAp Hurry
What is the exact volume of the cylinder?
A. 780π in3
B. 5070π in3
C. 390π in3
D. 11,700π in3

Answers

Answer:

B. 5070π in³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

r = 13 in

h = 30 in

Step 2: Find Volume

Substitute in variables [Volume of a Cylinder Formula]:                                V = π(13 in)²(30 in)Evaluate exponents:                                                                                         V = π(169 in²)(30 in)Multiply:                                                                                                             V = 5070π in³

Answer:

[tex]\large\fbox{B. 5070 π inches³}[/tex]

Step-by-step explanation:

We have given that :-Radius of cylinder , r = 13 inchesHeight of cylinder , h = 30 inchesWe need to find :-

The Volume of cylinder

Formula Used :-

Volume of cylinder = π × r ² × h

Where,

r is the radius of cylinderh is the height of cylinderSolution :-

Using Formula

➛Volume of cylinder = π × r ² × h

substitute the values into the formula

➛ Volume of cylinder = π × ( 13 inches)² × 30 inches.

Evaluate exponent

➛ Volume of cylinder = π × 169 inches ² × 30 inches.

multiply, we get

➛ Volume of cylinder = 5070 π inches ³.

Therefore, option B which is 5070 π inches³ is the correct ☑ answer.

Thank you please shwo your work if you can<3 !!!!
x=
y=

Answers

Answer:

x = 2, y = - 1

Step-by-step explanation:

Given the 2 equations

y = - 7x + 13 → (1)

y = - 1 → (2)

Substitute y = - 7x + 13 into (2)

- 7x + 13 = - 1 ( subtract 13 from both sides )

- 7x = - 14 ( divide both sides by - 7 )

x = 2

y = - 1 is already given in (2)

Then x = 2, y = - 1

It showed that: y = -1
So the equation will be: -1 = -7x + 13

Now we solve from here, start by subtracting 13 on both sides:
-14 = -7x

Divide -7 on both sides:
2 = x

A triangle has sides with lengths of 5 kilometers, 11 kilometers, and 12 kilometers. Is it a right triangle?

Answers

Answer:

Step-by-step explanation:

to prove it right angle

square of largst side must be eqaul to the sum of two other sides.

so here 12 is largest and 11 and 5 are two other smallest sides of a triangle.

(12)^2=(11)^2+(5)^2

144=121+25

144=146

since the square of largest side is not equal to the sum of square of other two smaller sides it can be concluded that the given sides of a triangle does not form a right angled triangle.

BRAINLIEST FOR CORRECT ANSWER.

I drew what option c was for the third answer

Answers

Answer:

B A B

Step-by-step explanation:

Answer:

1. A or one meter

2. A or 4 kilometers

3. B or 4 thousand strides

Step-by-step explanation:

marathon is 4 kilometers and a kilometer is 1000 strides or meters.

Nicole buys a meal in a town with a 9% sales tax. She tips 17% on the bill before adding the sales tax. She pays a total of $15.30. What should be the original cost of her meal?​

Answers

Answer:

17/100×15.30=2.60

9/100×15.30=1.37

15.30-(1.37+2.60)=11.33

Complete the angle addition postulate for the following angle

Answers

Given:

A figure and an incomplete equation [tex]m\angle GEM+m\angle MEO+m\angle \_\_[/tex].

To find:

The missing value for the given equation by using the angle addition postulate.

Solution:

A ray EM divides the angle GEO into two parts. The first part is [tex]\angle GEM[/tex] and the second part is [tex]\angle MEO[/tex].

Using the angle addition postulate [tex]\angle GEO[/tex] is the sum of [tex]\angle GEM[/tex] and [tex]\angle MEO[/tex].

[tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex]

Therefore, the missing value is GEO and the complete equation is [tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex].

What is the area and perimeter of square

Answers

Answer:

The answer is A

Step-by-step explanation:

This I because the area of a square is =

(length of on side)² = l²

The options there are not perfect squarss except A

which is 64 in²

And we know that 8² will give you 64

so then it means one side is 8 in

So the area =

8² = 8 in × 8 in = 64 in²

Can someone please help me I don’t understand this at all

Answers

Answer:

140.3 ft³

Step-by-step explanation:

Volume of cylinder = πr²h

                                = π x 1.5² x 4

                                = 28.3 ft³

P.S. The diameter in the picture is 3ft. FIrst, change it to radius. 3/2= 1.5 ft

Volume of cuboid = lwh

                              = 7 x 4 x 4

                              = 112 ft³

Total volume = 112 + 28.3 = 140.3

Hope this helps!

Question 15 of 25
If the factors of a polynomial are x + 8 and x+4, what values of x make that
polynomial O?
A. -8 and -4
B. 8 and -4
C. -8 and 4
D. 8 and 4

Answers

Answer:

Step-by-step explanation:

Polynomials are factored after they are set equal to 0. This i because the factors of the polynomial are also known as the x-intercepts, and x-intercepts exist where y = 0. Therefore, if the factors of the polynomial are

(x + 8)(x + 4) = 0, then by the Zero Product Property,

x + 8 = 0 so x = -8 or

x + 4 = 0 so x = -4. Choice A.

What’s the least number of faces a polyhedron can have? And why?

Answers

Answer:

The minimum number of faces a polyhedron can have is 4 faces.

Step-by-step explanation:

We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).

A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft. Calculate the surface area of the silo. Leave your answer in terms of π.

480π sq. ft.
276π sq. ft.
216π sq. ft.
204π sq. ft.

Answers

Answer:

216π sq ft

Step-by-step explanation:

given that :

d = 12 ft => r = 12/2 = 6ft

h(cyl) = 10 ft

h(cone) = 8 ft

the surface area = ?

the solution :

the slant of cone = √r²+h²

= √6²+8²= √100 = 10 ft

the surface area of silo =

the lateral area of cone + the lateral area of cylinder + the base area

= π×r×slant + 2×π×r×h(cyl) + π×r²

= π×6×10 + 2×π×6×10 + π×6²

= 60π + 120π + 36π

= 216π sq ft

The surface area of the silo will be 216π square feet. Then the correct option is C.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal.

The surface area is the sum of the surface area of the cone and cylinder. Then we have

The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft.

Surface area = πrl + 2πrh + πr²

The length of the radius will be

r = d /2

r = 12 / 2

r = 6 ft

The length of slant height will be

l² = 6² + 8²

l² = 100

l = 10 ft

Then the surface area of the silo will be

SA = π × 6 × 10 + 2π × 6 × 10 + π6²

SA = 60π + 120π + 36π

SA = 216π square feet

The surface area of the silo will be 216π square feet.

Then the correct option is C.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

If line segment are you is considered the base of a parallelogram are STU what is the corresponding height of the parallelogram

Answers

Answer: Hello your question lacks some data hence i will provide a general solution within the scope of your question.

answer:

Height = Area of parallelogram / base of parallelogram

Step-by-step explanation:

The corresponding height of the parallelogram can be calculated using the general equation below :

Height = Area of parallelogram / base of parallelogram

Kindly input the values you have into the relation to get the corresponding height of the parallelogram.

As an estimation we are told £3 is €4.
Convert £33 to euros.

Answers

Answer:

44 euros

Step-by-step explanation:

if the ratio between an english pound and a euro is 3 to 4 respectivley, the ratios will hold true for any number. Since 33/3 = 11, we can stratigically multiply by 1,

3/4 = (3/4)(11/11)

so the ratios would be the same, multiplying, you would get 33/44, which means 33 pounds for 44 euros

HELP NEEDED!! Find the sine of W

Answers

Answer:

[tex]\frac{\sqrt{47}}{10}[/tex]

Step-by-step explanation:

First you find the missing side using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex].

Which is [tex](\sqrt{53})^{2} + b^{2} = 10^{2}[/tex].

do the squares to make it 53 + [tex]b^{2}[/tex] = 100 and solve for b.

[tex]b^{2} = 100-53\\b^{2} = 47\\b= \sqrt{47}[/tex]

Sine of an angle is Opposite over Hypotenuse to get

[tex]\frac{\sqrt{47} }{10}[/tex]

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