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

anyone like cod warzone

Answers

Answer:

Me I'm a big fan of Call of duty Warzone

Step-by-step explanation:

Thanks for asking

Have a good day :)

Answer:

sure my username is Ryuk im on ps4

Step-by-step explanation:

please help thank you i will give brainliest for the first correct answer

Answers

Answer:

Step-by-step explanation:

Answer:

79, I hoped that helped:)

answer choices:
a. 66
b. 53
c. 87
d. 73

Answers

Answer is D:73

Explanation:180-124=66
66+37=103
180-103=73

The volume of a cuboid, whose length and height are equal is 108 m3. If the breadth is 12 m, find the cuboid's length and surface area.

Answers

Answer:

Surface area = 162 m^2

Step-by-step explanation:

Below is the given values:

Length of cuboid = Height of cuboid

The volume of the cuboid = 108 m^3

The breadth of the cuboid = 12 m

Now use the volume formula:

Volume = area of one surface × height

Volume = (L x B) * H

(L x 12) * H = 108       (L = H)

L x 12 x L = 108

L^2 = 108/12

L = 3 m

Thus length and height is = 3m

Surface area = 2 (L x B + b x h + L x h)

Surface area = 2 (3 x 12 + 12 x 3 + 3x 3)

Surface area = 162 m^2

Work out the volume of this cylinder. Give your answer rounded to the nearest whole number.

Answers

Answer:

31793 cm^3

Step-by-step explanation:

Equation

Volume = [tex]\pi[/tex] * r^2 * h

Givens

d = 2*r

d  = 30

r = 15

h = 45

[tex]\pi[/tex] = 3.14

Solution

V = 3.14 * 15^2 * 45

V = 31793 rounded.

Pls help pls you would save me so much if you help PLEASE???!!!

Answers

Answer:

1)3:1:2:1:1

2) its theoretical probality because Jayden is  calculating the probability of it happening, not actually going out and experimenting.

hope that helps bby<3

(cos2A−cos2B)2+(sin2A+sin2B)2=4sin2(A+B)​

Answers

Answer:

[tex] {( \cos2A - \cos2B) }^{2} + {( \sin2A + \sin2 B }^{2}\\ = ( - 2\cos2A \cos2B + { \cos {}^{2} 2A } + \cos {}^{2} 2B) + (2 \sin2A \sin2B + \sin {}^{2} 2A + \sin {}^{2} 2B)\\ \\ { = - 2( \sin2A + \sin 2 B - \cos2 A - \cos2B) }\\ \\ { = - 2( - 4 \sin( A + B) \cos(A + B) } \\ \\ = {\tt{double \: angle \: of \: sine}}\\ \\ { = 2 \times 2(2 \sin (A + B) \cos(A + B)) }\\ \\ { = 4 \sin2(A + B)}[/tex]

What is the combined weight of all the kittens ?pls help

Answers

Answer:

4 lbs

Step-by-step explanation:

1/4 x 4 =1

1/2 x 2= 1

3/8 + 3/8 + 5/8 + 5/8 =16/8

16/8 =2

1+1+2=4

Find an equation for the line perpendicular to x= -3 and goes through the point (-9, -2)​

Answers

Answer:

y = -2

Step-by-step explanation:

The line x = -3 is a vertical one; the slope of a line perpendicular to x = -3 is zero (0).  Recall that the slope of a vertical line is undefined and that of a line perpendicular to a vertical line is 0.

Then, to write the equation of the perpendicular line, we borrow the '-2' from (-9, -2) and write y = -2.  This line does indeed pass through (-9, -2) and every other point whose y-component is -2.

What is the area of the given compound shape?

a) 69.8cm^2
b) 39.8cm^2
c) 49.6cm^2​

Answers

Answer:

39.8 cm^2

Step-by-step explanation:

area of triangle

base = 5 cm

height = 12 cm

are of triangle = base *height / 2

=5*12/2

=60/2

30 cm^2

area of semi circle

diamtere = 5

radius = diameter/2

=5/2

=2.5

area of semi circle = πr^2/2

=3.14*2.5^2/2

=19.625/2

=9.8125 cm^2

are of the figure = are of triangle + area of semicircle

=30 + 9.8125 cm^2

=39.8125 cm^2

=39.8 cm^2   (after converting to the nearest tenth)

The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use

Answers

Answer:

Coordinate of points = (7 , 0)

Step-by-step explanation:

Given:

Equation of slope;

y – y1 = m(x – x1)

Equation of slope;

y = 3(x – 7)

Find:

Coordinate of points

Computation:

By comparing

y - 0 = 3(x - 7)

So,

y1 = 0

m = 3

x1 = 7

Coordinate of points = (7 , 0)

What is a two-column proof

Answers

Answer:

A two-column proof uses a table to present a logical argument and assigns each column to do one job, and then the two columns work in lock-step to take a reader from premise to conclusion.

Step-by-step explanation:

Basically in simple terms, one side is the statements, and the otherside is the reasoning

Please help :,(

the ordered triple for point U is (-3,3,-4). To graph this point in three-dimensional coordinates space, do the following

From the origin, move back 3 units, right 3 units, and down __ units

A. 3
B. 4

Answers

Answer:  B) 4

This is because the z coordinate is -4. So we move down 4 units on the z axis. The z axis is basically a vertical pole planted in the ground, and the xy plane is the flat floor.

It's a bit tricky to visualize so try to imagine that you're in this 3D space personally.

Or you could imagine that something like z = -4 means you are in basement level 4 of a building (say a parking garage) and something like z = 6 means you're on the 6th floor above the ground.

Given the definitions of f(x) and g(x) below, find the value of (fog)(-8).
f(x) = x2 – 3x – 12
g(x) = -x - 12

Answers

Answer:

[tex](f \circ g)(-8) = 16[/tex]

Step-by-step explanation:

The given function are;

f(x) = x² - 3·x - 12, and g(x) = -x - 12

[tex](f \circ g)(x) = f(g(x))[/tex]

Therefore;

[tex](f \circ g)(-8) = f(g(-8))[/tex]

g(-8) = -(-8) - 12 = 8 - 12 = -4

∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16

Therefore;

[tex](f \circ g)(-8) = f(g(-8)) = 16[/tex]

if $7000 is borrowed at the rate of 5% per annum for 3 years what is the simple interest​

Answers

Answer:

$450

Step-by-step explanation:

Find the total surface area of this prism where the cross section is an isosceles triangle 5cm, 13cm, 24cm, 10cm

Answers

Answer: 620 cm2

Step-by-step explanation:

The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is:  B = 24 * 10 = 240 cm2

The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is:  C = 24 * 5 / 2 = 60 cm2

The sides are rectangles with 10 cm x 13 cm, so their area is:  D = 10 * 13 = 130 cm2

The total surface area is:  S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2

Candace complete a 3.1 mile run in 22 1/2 minutes. At that pace, what is her unit rate, in minutes per mile? Round your answer to the nearest tenth.

Answers

3.1 x 22 1/2 = 69.75 rounded is 70

Solve 5x2-2x-8=0 using the quadratic formula.

Answers

Answer:

[tex]x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}[/tex]

Step-by-step explanation:

The quadratic formula states that the solutions for a quadratic is standard form [tex]ax^2+bx+c[/tex] are equal to [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].

In [tex]5x^2-2x-8=0[/tex], we can assign the values:

[tex]a[/tex] of 5[tex]b[/tex] of -2[tex]c[/tex] of -8

Thus, we have:

[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}[/tex]

Answer:

(1+√41)/5, (1-√41)/5

Step-by-step explanation:

quadratic formula is (-b±√(b^2-4ac))/2a

in this equation,

a = 5

b = -2

c = -8

plug in the values

(2±√(4 - 4(5)(-8))/10

(2±√(4 + 160)/10

(2±√(164)/10

(2±2√(41))/10

1. (2+2√41)/10

(1+√41)/5

2. (2-2√41)/10

(1-√41)/5

On a winter day, there is a 10% probability it will snow in Toronto, a 50% probability it will snow in Ottowa, and a 90% probability it will snow in Brampton. Which of the following expressions best represent the probability that it will snow in all three cites on that same day? Explain why.

a) Less than 10%

b) About 50%

c) About 95%

d) More than 100%

please help me

Answers

Answer:

about 50 persent

Step-by-step explanation:

Solve the system by substitution.
2x – 3y = 38
-x – 6 = y

Answers

Answer:

x=19,0

y=0,-38/3

Step-by-step explanation:

Answer:

x = 4, y = -10

Step-by-step explanation:

-x - 6 - y = 0

-x - y = 6

2x - 3y = 38, -x - y =6

2x - 3y = 38

2x = 3y + 38

Divide both sides by 2

x = 1/2(3y+38)

Multiple 1/2 times 3y + 38

x= 3/2 y + 19

-(3/2y + 19) -y =6

-3/2y - 19 - y = 6

-5/2y -19 = 6

-5/2y = 25

y = -10

x = 3/2(-10) + y

x = -15 + 19

x = 4

x = 4, y = -10

Please help thank you

Answers

Answer:

2.25 ft^2

Step-by-step explanation:

area of kite = half of the product of diagonals

A = (3 ft)(0.75 ft + 0.75 ft)/2

A = 2.25 ft^2

Un polígono regular está inscrito en una circunferencia. ¿Qué medida del polígono es igual al radio de la circunferencia?

Answers

Answer:

La medida del polígono que es igual al radio de la circunferencia es el segmento de recta comprendido entre el centro geométrico del polígono y cualquiera de sus vértices, cuyo nombre es también radio.

Step-by-step explanation:

La medida del polígono que es igual al radio de la circunferencia es el segmento de recta comprendido entre el centro geométrico del polígono y cualquiera de sus vértices, cuyo nombre es también radio.

Help plzz
Question given below

Answers

Please show me your question clearly.

HELP!! Will give brainliest to anyone that helps
3.
4.
5 cm
4 cm
11 m
6 cm
Volume =
Volume =
Show all work!!

Answers

Answer:

3. 120

4. 1331

Step-by-step explanation:

Please help, will give Brainliest and 40 points!

Answers

Answer:

3^12

Step-by-step explanation:

(3^2)^6

6 * 2 = 12

3^12

Calculator check: (3^2)^6 = 531441

3^12 = 531441

Answer:

3^12

Step-by-step explanation:

We know that a^ b^c = a^(b*c)

3^2^6 = 3^(2*6) = 3^12

HELP ITS 50points !

Answers

The answer is B) x = 2

Answer:

x=2

Step-by-step explanation:

9-10x=2x+1-8x

+10x +10x

9=2x+1+2x

9=4x+1

-1 -1

8=4x

÷4 ÷4

x=2

Please help me on this question

Answers

Answer:

A = 6π

Step-by-step explanation:

Expression for the area of a sector is given by,

A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]

For θ = 240° and r = 3,

By substituting these values in the given expression,

A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]

   = [tex]\frac{240\times 9}{360}\pi[/tex]

   = 6π

Therefore, A = 6π is the answer.

Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1).

Please explain your answer with steps. I will give brainliest to the proper answer.

Answers

To get your answer, you will need to find the perpendicular slope for -1/3x which is just the opposite therefore it will be 3x. Your slope is 3x as perpendicular so use this slope to do point slope. Y-1=3(x-2). Distribute y-1=3x-6. Add 1 to both sides. (-1+1) (-6+1)=-5. So your equation in slope intercept form is y=3x-5. Going through the two points.

Hope this helps!

NEED HELP ASAP skajsjsjjajaja

Answers

Answer:

The answer is "3"

Step-by-step explanation:

[tex]\to f(7)=f(5 + 2)=1+f(5)\\\\\to f(5)=f(3+2)=1+f(3)\\\\\to f(3)=f(1+2)=1+f(1)=1+0=1\\\\[/tex]

Therefore

[tex]\to f(7)=1+f(5)=1+1+f(3)=2+1+f(1)=2+1+0=3[/tex]

Estimate 3 pi to the nearest whole number

Answers

Answer:

When you round pi, which is equal to 3.14, to the nearest whole number, the answer is 3.

Step-by-step explanation:

π=3.1415926

π=3.14

nearest whole number=3

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