Amelia is going to invest in an account paying an interest rate of 2.3% compounded quarterly. How much would Amelia need to invest, to the nearest hundred dollars, for the value of the account to reach $1,530 in 19 years?

Answers

Answer 1

Answer:

Amelia needs to invest $989.57.

Step-by-step explanation:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Amelia is going to invest in an account paying an interest rate of 2.3% compounded quarterly.

This means that [tex]r = 0.023, n = 4[/tex].

How much would Amelia need to invest, to the nearest hundred dollars, for the value of the account to reach $1,530 in 19 years?

We have to find P for which [tex]A(t) = 1530[/tex] when [tex]t = 19[/tex]. So

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

[tex]1530 = P(1 + \frac{0.023}{4})^{4*19}[/tex]

[tex]P = \frac{1530}{(1 + \frac{0.023}{4})^{4*19}}[/tex]

[tex]P = 989.57[/tex]

Amelia needs to invest $989.57.


Related Questions

what number are even and wich numbers are odd?​

Answers

even - 2,4,6,8,10,12,14,16,18,20 and so on
odd - 1,3,5,7,9,11,13,15,17,19,21 and so on

Answer:

Numbers 1, 3, 5, 7, and 9 and so on are uneven. These are only up to ten. Numbers 0, 2, 4, 6, 8, and 10 are even. If 0 is even just skip one number (you skip 1) and the number after (which is 2) is even and you continue so. For uneven numbers you do the same you start from 1 then skip a number (which is 2) and end up with 3 and you also co tune onward for this. I hope it helps!

Help Please ASAP!!!!!!!!!

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex] - \frac{2}{5} - ( - \frac{9}{15} ) = \\ [/tex]

[tex] - \frac{2 \times 3}{5 \times 3} + \frac{9}{15} = \\ [/tex]

[tex] \frac{ - 6}{15} + \frac{9}{15} = \frac{9 - 6}{15} = \\ [/tex]

[tex] \frac{3}{15} \\ [/tex]

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three artist each painted 27 frog and 15 lions two other artist each painted the same number of lions and twice as many frogs.how many animals did the five paint in all?

Answers

3 artists painted (27x3) frogs and (15x3) lions
and the other 2 painted (15x2) lions and (2x2x27) frogs

Add these together

81 + 45 + 30 + 108 = 264
They painted 264 animals all together

What are the missing numbers from 48, 49, 51, 54, 84, 93, 103, 114

Answers

Answer:

50,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100,101,102,103,105,106,107,108,109,110,111,112,113

Step-by-step explanation:

Clearly it’s a pattern you’re just adding a number by an extra number for example 48+1= 49 49+2 = 51 51+3= 54... so therefore 58,63,69,76 are the missing numbers ❤️

What is the value of h?

Answers

Answer:

in triangle

sin45=p/h

1/√2=8/h

h=8√2

what is the percent change in the price of a gallon of gas, to the nearest whole percent? is it an increase or a decrease?

Answers

Answer:

13,64% decrease.

Explanation:

[tex]420/3079*100=13,64[/tex]

what is 8 divided by 874.....for my little sister

Answers

0.00915332..................

I appreciate it bro... You are helping me so much​

Answers

Answer:

○ [tex]\displaystyle Perpendicular[/tex]

Step-by-step explanation:

Convert each equation to Slope-Intercept Form:

[tex]\displaystyle 3y - 6x - 7 = 0 → 3y - 6x = 7 → 3y = 6x + 7 → y = 2x + 2\frac{1}{3} \\ \\ 2y + x = 3 → 2y = -x + 3 → y = -\frac{1}{2}x + 1\frac{1}{2}[/tex]

Take a look at [tex]\displaystyle 2[/tex] and [tex]\displaystyle -\frac{1}{2}.[/tex] Their rate of changes [slopes] have a '2' in common, they are not similar. This tells you that these linear equations are not parallel, but perpendicular, because perpendicular equations have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES].

Did you catch it at all?! ;)

I am joyous to assist you at any time.

Helpppppp Fast!!!!!!!!!!!!

Answers

Answer:

1 1/3 feet by 3 feet

Step-by-step explanation:

1 1/3 by 3 feet hope I helped ;)

He used the following steps:12/1 x 3/4=36/4
-36/4=9
What error did Robert make?
OA) Robert used subtraction rather than multiplication.
OB) Robert used addition rather than multiplication.
Robert forgot to find the reciprocal of before
OC)
multiplying
Robert forgot to find the reciprocal of 1 before
multiplying.
OD)

Answers

W
T
F
do they have doing
What the heck is this

√−100 = + i
edge2021 Algebra 2

Answers

Step-by-step explanation:

√-100

= √100 * √-1 (√mn = √m * √n)

= 10i. (i² = -1, i = √-1)

How do you write 3% as a fraction

Answers

Answer: 3/100

Step-by-step explanation:

Answer:

3/100

Step-by-step explanation:

Find the zeros of y=x^2+6x-4 by completing the square​

Answers

Answer:

so i did the math and i got c

Find the area of the figure. Assume all measurements are centimeters.

Answers

Answer:

The total area of the figure is 68.5 square centimeters.

Step-by-step explanation:

To calculate the total area, we must concieve it by the sum of areas of smaller triangles and rectangles. We present our strategy in the image attached below:

[tex]A = A_{1}+A_{2}+A_{3}+A_{4}+A_{5}[/tex] (1)

Where all areas are measured in square centimeters.

Please notice that [tex]A_{2}[/tex], [tex]A_{3}[/tex] and [tex]A_{5}[/tex] are triangles and [tex]A_{1}[/tex] and [tex]A_{4}[/tex] are rectangles.

The resulting area is calculated below:

[tex]A = (1)\cdot (2) + \frac{1}{2}\cdot (2)^{2} +\frac{1}{2}\cdot (3)\cdot (7)+(9)\cdot (5)+\frac{1}{2}\cdot (2)\cdot (9)[/tex]

[tex]A = 68.5\,cm^{2}[/tex]

The total area of the figure is 68.5 square centimeters.

Write an equation for each line?

Answers

I will need a pic or something to answer ur questions dear :)
picture please so i can see

Solve 3[-x + (2 x + 1)] = x - 1.
x = 2

Answers

Answer:

x = -2

Step-by-step explanation:

[tex]3[- x + (2x + 1)] = x - 1[/tex]

[tex] = > 3[ - x + 2x + 1 ] = x - 1[/tex]

[tex] = > 3[x + 1] = x - 1[/tex]

[tex] = > 3x + 3 = x - 1[/tex]

[tex] = > 3x - x = - 1 - 3[/tex]

[tex] = > 2x = - 4[/tex]

[tex] = > x = \frac{ - 4}{2} = - 2[/tex]

A circle with a radius of 15 yards contains a sector with an area of 609 yde. Find the measure of
the central angle of the sector in both radians and degrees.

(HELP PLEASE)(WILL GIVE BRAINLIEST)

Answers

Answer: 310.3° or 5.41 radians.

Step-by-step explanation:

The area of a circle of radius R is calculated as:

A = pi*R^2

Now, if we have a sector of an angle θ degrees, the area of that sector is:

A = (θ/360°)*pi*R^2

In this case, we know that:

R = 15yd

And the area of the sector is 609 yd^2

Then we can replace these two values in the equation to get:

609yd^2  =(θ/360°)*3.14*(15yd)^2

(609yd^2)*360°/(3.14*(15yd)^2) = θ = 310.3°

And we want the angle also in radians.

We know that:

3.14 rad = 180°

(3.14 rad/180°) = 1

Then:

310.3° = 310.3°*(3.14 rad/180°) = (310.3°/180°)*3.14 rad = 5.41 radians.

The measure of the central angle in degrees and radians are 310.32° and 5.42 rad respectively

Sector of a circle:Area = ∅/360 × πr²

where

r = radius

∅ = central angles

Therefore,

609 = ∅ / 360 × 3.14 × 15²

609 = 706.5∅ / 360

219240 = 706.5∅

∅ = 219240 / 706.5

∅ = 310.318471338

∅ = 310.32°

1° = 0.0174533 rad

310.32° = ?

Angle in radian = 310.32° × 0.0174533  = 5.41610573 ≈ 5.42 rad  

learn more on circles here; https://brainly.com/question/19340105?referrer=searchResults

Find the x and y intercept of y = 5x - 2. Random answers will be reported. Who ever answers right first will be marked brainlest.

Answers

Answer: x intercept is 2/5, and y intercept is -2

Step-by-step explanation:

Bascially when your solving for x intercept, substitute 0 for y, then for this equation u get 0=5x-2, which is equal to 5x=2, so the x intercept is 2/5. You do the same thing for y intercept, so substitute 0 for x this time, then you'd get y=-2.

The answer is 2/5 hope this helps

At a camping site, there are 3 yellow canoes for every 5 blue canoes. What percentage of the canoes are blue?

Answers

Answer:

60%

Step-by-step explanation:

Percentage of blue canoes = [tex]\frac{3}{5}[/tex] × 100%

                                              = 60%

Solve the question below, please

Answers

Answer:

x = 133.33°

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

[tex]c^2=a^2+b^2-2ab\cos x[/tex]

Since we know the values of all three side lengths, we solve the equation for x:

[tex]\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}[/tex]

For the triangle in the figure: a=4.1, b=8.5, c=11.7, x=angle C. Applying the formula:

[tex]\displaystyle \cos x=\frac{4.1^2+8.5^2-11.7^2}{2*4.1*8.5}[/tex]

[tex]\displaystyle \cos x=\frac{-47.83}{69.7}[/tex]

[tex]\displaystyle \cos x=-0.6862[/tex]

[tex]x = \arccos (-0.6862)[/tex]

x = 133.33°

Ray does chores every day for a small allowance.he earns 1.50 a day for washing the dishes and x dollar a day taking out trash

Answers

Answer:

um

Step-by-step explanation:

what problem is their to figure out

Complete the equation of the line through (4,-8)(4,−8)left parenthesis, 4, comma, minu

Answers

Equation of a line is in the form y = mx+c, where m is the gradient and c is the y-intercept.

First step is to find the gradient.

m = (y2-y1)/(x2-x1)
= ( 5- -8)/(8-4) = 13/4

We have y = (13/4)x + c

Now we replace one of the coordinates to find c. Let’s replace (4,-8)

We have: -8 = (13/4)*4 + c

-8=13+c
c=-8-13= -21

Therefore, equation of line is:

y = (13/4)x - 21

if you have 1.234545 davidi by 50=

Answers

0.0246909 hope this helps love ❤️

Answer:

The answer is 0.02469090

Step-by-step explanation:

1.234545÷50=0.02469090

Hope this helps you.

help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! will mark brainliest if correct

Answers

answer:

what’s the question? i don’t see any picture or anything

Answer:

due

Step-by-step explanation:

help me it's about solutions of triangles
about:
-sine rule
-cosine rule
-area of triangles​

Answers

Answer:

Area of the triangle covered by the cars = 910.45 square km

Step-by-step explanation:

Since, all the sides of triangle ABC are given,

And formula for the area of a triangle with all sides given is,

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Here, s = [tex]\frac{a+b+c}{2}[/tex]

And a, b, c are the measures of the sides of the triangle.

If a = 39 km, b = 87 km and c = 58 km

s = [tex]\frac{39+87+58}{2}[/tex]

s = 92

Therefore, (s - a) = 92 - 39

                            = 53

(s - b) = 92 - 87

         = 5

(s - c) = 92 - 58

         = 34

Now area of the triangle ABC = [tex]\sqrt{92(53)(5)(34)}[/tex]

                                                  = [tex]\sqrt{828920}[/tex]

                                                  = 910.45 km²

Area of the triangle covered by the cars = 910.45 square km

What is the explicit formula of the sequence?

Answers

Answer

It is An = a1 + (N-1)d

Hope this helps you :)

Pls give me BRAINLIEST

simply 4 2/9 + 1 5/6 - 21/3 pls I need the answer to this​

Answers

6 1/8

6 1/8

this is the answer

find the Factor expression 12x + 18
using the GCF.

Answers

Answer:

12× = 2, 2, 3, x

18 = 2, 3, 3

GCF = 6

6( 2x + 3)

Step-by-step explanation:

A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
13
оооо
31
О 34

Answers

Answer:

Since f(n + 1) = f(n) - 3, we can also say that f(n - 1) = f(n) + 3.

By which we can say f(n - 3) = f(n) + 9

Since f(4) is 22, then f(1) must be 22 + 9, or 31.

Dont have to graph it, just tell me the answers, I kinda need this now :v

Answers

Answer:

3/4(n)+1

3/4(8)+1=

6+1=7

3/4(12)+1=

9+1=10

3/4(14)+1=

10.5+1=11.5

3/4(20)+1=

15+1=16

I hope this helps:

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