All categories

3 years ago

Evan invested $800 in an account that pays 3.25% interest compounded annually.

Mathematics

1 answer:

Aleksandr [31]3 years ago

8 0

Answer:

Evans would have $852.8

Step-by-step explanation:

Given

$PV = \$800$

$r = 3.25\%$

$t = 2$

$n = 1$ --- annually'

Required

The future value

This is calculated using:

$FV = PV*(1 + \frac{r}{n})^{nt$

So, we have:

$FV = 800 * (1 + 3.25\%/1)^{2*1}$

$FV = 800 * (1 + 3.25\%)^{2}$

$FV = 800 * (1 + 0.0325)^{2}$

$FV = 800 * (1 .0325)^2$

$FV = 852.845$

$FV = 852.8$

FV =

You might be interested in

What is the surface area of a mini basketball with a circumference.of 25 and radius of 4

Nonamiya [84]

The formula to find the surface area of a sphere is A=4(3.14)r². So if you plug in the data you would get,
A=4(3.14)4²
A=(12.56) (16)
A=200.96
You mught want to check over it so you will be able to solve it for yourself the next time you have this question.

4 0

3 years ago

To one-one functions g and h are defined as follows.

Andreyy89

Answer:

9
(x-8)/3
-1

Step-by-step explanation:

The inverse function for a set of ordered pairs can be found by swapping the x- and y-coordinates in each pair.

$g^{-1}(-1)=9\qquad\text{from the $g(x)$ ordered pair $(9, -1)$}$

The inverse of a function expressed algebraically can be found by swapping the x- and y-variables and solving for y.

$h^{-1}(x)\qquad\text{is found from }x=h(y)\\\\x=3y+8\\x-8=3y\\\\y=\dfrac{x-8}{3}\\\\\boxed{h^{-1}(x)=\dfrac{x-8}{3}}$

A function of its own inverse returns the original value:

$\boxed{\left(h\circ h^{-1}\right)(-1)=-1}$

6 0

3 years ago

The height of Josie's dog is 11 1/4 inches to the nearest quarter inch and 11 inches to the nearest half inch. Which measurement

goldenfox [79]

Dear Kellyeasterday, 11 1/4 inches is more precise.

5 0

3 years ago

P(a) = 2a -3; find p(a) = 15

Andrei [34K]

Since both is equal to p(a), you can set them as equal to each other:

15 = 2a - 3
18 = 2a
9 = a

8 0

3 years ago

What is the area of the shape below

Bad White [126]

Answer:

The area of the shape is $A=886 \:cm^2$ .

Step-by-step explanation:

The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.

First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of the first rectangle is $A=34\cdot 16=544\:cm^2$

The area of the second rectangle is $A=11\cdot19=209\: cm^2$

The area of a triangle is given by the formula $A=\frac{1}{2} bh$ where <em>b</em> is the base and <em>h</em> is the height of the triangle.

The area of the triangle is $A=\frac{1}{2} \cdot 14\cdot19=133\:cm^2$

Finally, add the areas of the simpler figures together to find the total area of the composite figure.

$A_{composite\:shape}=544+209+133=886 \:cm^2$

3 0

3 years ago