Situation
You are a financial advisor. Your clients include young couples who are looking for financial advice. During this pandemic, everyone is looking for the best option when saving their money. As a financial advisor, you help people determine the best options for their savings plan. Most banks offer saving plan options with compound interest.
The Jacksons
Eric and Amy Jackson wish to invest in a no-risk savings account. They currently have $55,000 in an account that has a 4.125% annual interest rate, compounded continuously. They have the following options:
a. keep their money in the account they already have
b. invest the money in an account that has 5% annual interest, compounded annually
c. invest the money in an account that has 4.5% annual interest, compounded quarterly
d. invest the money in an account that has 3.875% annual interest, compounded monthly
Write a function for each option, that represents the amount of money in the account after t years after the account is opened.
a. C(t) keep their money in the account they already have
b. A(t) invest the money in an account that has 5% annual interest, compounded annually
c. Q(t) invest the money in an account that has 4.5% annual interest, compounded quarterly
d. M(t) invest the money in an account that has 3.875% annual interest, compounded monthly

Answer:

1 1/3 feet by 3 feet

Step-by-step explanation:

6 1/8

6 1/8

this is the answer

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

Answer:

The answer is 0.02469090

Step-by-step explanation:

1.234545÷50=0.02469090

Hope this helps you.

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.

Answer:

b = 3

Step-by-step explanation:

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.

Answer:

the way bottom one i think i dont rember planes anymore

Step-by-step explanation:

Answer:

(-4 1/2,3) is the final result.

Step-by-step explanation:

V(4 1/2, -3)

The order of the reflections do not matter.

So if I consider the x axis first, only the y value will change. Seems weird, but try doing this on a piece of scrap paper.

(4 1/2, 3 ) is the new point. The point is reflected an equal distance behind the mirror on the x axis.

Now do the y axis. Only the x value of the point is changed.

(-4 1/2, 3) is what happens.

===================================

Does the order matter?

V(4 1/2, - 3) goes across the y axis to become (-4 1/2 , - 3)

V'(-4 1/2, -3) goes across the x axis to become (-4 1/2, 3) which is exactly what we got before.

Order does not matter for these 2 transformations.

Answer:

58.90

Step-by-step explanation:

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!

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.

Answer:

7875 square inches

Step-by-step explanation:

4ft^2 = 2ft * 2ft

4ft^2 = 3in * 3in

4ft^2 = 9in^2

For 3,500 square foot

3,500 square foot  = x

Divide bith expressions

4/3500 = 9/x

4x = 9 * 3500

4x = 31500

x = 31500/4

x = 7875 square inches

Hence the area of the house in inches is 7875 square inches

Answer:

A

Step-by-step explanation:

can you please mark me brainlest :D

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°

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]

Answer:

G. 33

Step-by-step explanation:

[tex]6x - 3y \\ 6(5) - 3( - 1) \\ 30 + 3 \\ 33[/tex]

Now, if x = 5 and y = -1

6(5) -3(-1)

= 30+3

= 33

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[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]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Step-by-step explanation:

√-100

= √100 * √-1 (√mn = √m * √n)

= 10i. (i² = -1, i = √-1)

Answer:

the last scenario

Step-by-step explanation:

you cannot divide anything by zero -- it's considered to be undefined

Answer:

The stock lost $14 in 7 days

Step-by-step explanation: I know how to multiply.

The total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.

It is given that:

The price of a stock by decreased $2 each day for seven consecutive days

The price of a stock decreased by $2 per day for seven consecutive days.

Each day the cost is decreased by $2

Therefore, in 7 days the total reduction in cost is: 7×2= $ 14

So, the total change in the value of the stock is:  -$ 14.

The total change in the value of the stock over the seven-day period is:

It decreased by $ 14

Thus, the total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

50

Step-by-step explanation:

400/8 =50

Answer:

so i did the math and i got c

Answer:

car is decelerating

Step-by-step explanation:

Answer:

1/3x + 1/2y < or equal to 12

2x + y < or equal to 12

x > or equal to 0

y > or equal to 0

1/3x + 1/2y < or equal to 4

Step-by-step explanation:

none

Answer:

A on edge :)

Step-by-step explanation:

edge2021

Answer:

13,64% decrease.

Explanation:

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

Answer:

um

Step-by-step explanation:

what problem is their to figure out

Answer:

A

Step-by-step explanation:

Turn into equation

2n+10=16

Subtract 10 from both sides

2n=6

Divide by 2 from both sides

n=3