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2 years ago

How much interest will be earned in 1 year if $100 is placed in an account that earns 3% simple annual interest?

Mathematics

2 answers:

victus00 [196]2 years ago

5 0

The answer is C. $3
Hope this helped! :)

victus00 [196]2 years ago

4 0

/=prt results in /=(100) (.03) (1) or $3

hope this helped

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The diagram shows the sequence of three rigid transformations used to map TriangleABC onto TriangleA"B"C". What is the sequence

Igoryamba

Answer:

Rotation, then reflection, then translation

Step-by-step explanation:

The sequence of three rigid transformations that is used to map Triangle ABC onto TriangleA"B"C" are what we called ROTATION ,REFLECTION AND TRANSLATION

ROTATION can be defined as the process or waysbin which an object tend to rotate about a fixed point without the object changing either its size or shape.

REFLECTION occur in a situation where an object is been flipped across a line without the object changing either its size or shape.

TRANSLATION can be defined as the process or ways of sliding a figure in any or various direction without the figure changing either its size or shape .

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2 years ago

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the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

luda_lava [24]

Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

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2 years ago

Archimedes (ca. 287-212 B.C.) was able to use clever geometric means to determine the relative volumes of a cylinder and the con

VLD [36.1K]

Answer:

The ration of the volume of cone to that of cylinder is $\frac{V_{cone}}{V_{cy}} = \frac{1}{3}$

Step-by-step explanation:

From the question we are told that

The volume of a cone is mathematically represented as

$V_{cone} = \frac{1}{3} \pi r^2 h$

The volume of a cylinder is mathematically represented as

$V_{cy} = \pi r^2 h$

Now the ratio we are to obtain is

$\frac{V_{cone}}{V_{cy}} = \frac{\frac{1}{3} \pi r^2 h}{\pi r^2 h}$

$\frac{V_{cone}}{V_{cy}} = \frac{\frac{1}{3} }{1}$ Note: this is possible because the height and base

$\frac{V_{cone}}{V_{cy}} = \frac{1}{3}$ radius are the same

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2 years ago

You launch a water balloon. The function h=-0.08t^2+1.6t+2 models the height h (in feet) of the water balloon after t seconds. W

stellarik [79]

Answer:

The initial height of the balloon is 2 feet.

Step-by-step explanation:

The height of the balloon in feet after t seconds is given by the following equation:

$h(t) = -0.08t^{2} + 1.6t + 2$

What is the initial height of the balloon?

This is h when t = 0, that is, h(0). So

$h(0) = -0.08*0^{2} + 1.6*0 + 2 = 2$

The initial height of the balloon is 2 feet.

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2 years ago

Quadrilateral ABCD is inscribed in circle P as shown. Which statement is necessarily true? A. `"m"/_A +"m"/_B = "m"/_C + "m"/_D

pogonyaev

Opposite angles of an inscribed quadrilateral are supplementary, so it is true that ...

... B. m∠A + m∠C = m∠B + m∠D . . . . . = 180°

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2 years ago

﻿How much interest will be earned in 1 year if $100 is placed in an account that earns 3% simple annual interest?

How much interest will be earned in 1 year if $100 is placed in an account that earns 3% simple annual interest?