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2 years ago

How much interest will Hannah

Mathematics

1 answer:

baherus [9]2 years ago

6 0

keeping in mind that a year has 12 months, thus 6 months is really 6/12 of a year.

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$630\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ t=years\to \frac{6}{12}\dotfill &\frac{1}{2} \end{cases} \\\\\\ I = (630)(0.065)(\frac{1}{2}) \implies I\approx 20.48$

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Sean wrote the equation 9.25 = 5m, where m is the cost per pound of pears, to show the relationship between the total cost and t

asambeis [7]

Answer:

see the explanation

Step-by-step explanation:

The correct question is

Sean wrote the equation 9.25=5m, where m is the cost per pound, to show the relationships between the total cost, $9.25, and the number of pounds of pears, write an equation to show the cost y of x pounds of pears, and use the equation to complete the table. then use the information in your table to make a graph

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

y ----> the total cost

x ---> the number of pounds of pears

In this problem we have a proportional relationship between the variables x and y

we have

$9.25=5m$

where

m is the cost per pound of pears

That means

The value of m and the value of the constant k of proportionality is the same

Find the value of m

$9.25=5m\\m=\$1.85\ per\ pound$

The linear equation is equal to

$y=1.85x$

Construct the table

assume different values of x and determine the value of y

$For\ x=0 ----> y=1.85(0)=0$

$For\ x=1 ----> y=1.85(1)=1.85$

$For\ x=2 ----> y=1.85(2)=3.70$

$For\ x=3 ----> y=1.85(3)=5.55$

$For\ x=4 ----> y=1.85(4)=7.4$

$For\ x=5 ----> y=1.85(5)=9.25$

therefore

$\begin{array}{cc}x(\text{Number of pounds}) & y(\text{Cost in dollars})\\0 & 0\\1 & 1.85\\2 & 3.7\\3 & 5.55\\4 & 7.4\\5 & 9.25\end{array}$

using a graphing tool

The grahp in the attached figure

7 0

3 years ago

Write your answer with no spaces and any fraction with “/“

Archy [21]

Answer:

The slope is 1/2

Step-by-step explanation:

Hi!

Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.

First, you plot the two coordinates on the graph:

(0,0) and (2,1)

The formula for slope is $\frac{y1 - y2}{x1 - x2}$

Now we plug in numbers accordingly:

$\frac{0 - 1}{0 - 2}$

Simplify:

$\frac{-1}{-2} \\$

Simplify:

$\frac{1}{2}$

Let me know if you have any questions

6 0

3 years ago

The wading pool shown is a trapezoidal prism with a total volume of 286 cubic feet. What is the missing dimension? First base: 8

harkovskaia [24]

To find the missing dimension you will use the formula for finding the volume of a prism and solve for the missing dimension. In this case 2ft is how deep the pool is and you will solve for the width of the pool.

V = Bh, where B is the area of the base. In this case, use the area of a trapezoid formula.

286 = 1/2h(8 +13)2
286 = 21h
21 21
h = 13.6

The width of the wading pool is approximately 13.6 feet.

5 0

3 years ago

Any 1+1 how much tell

Alinara [238K]

Answer:

2 or maybe 11 lol

thank you for the points

;-).......

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3 years ago

Read 2 more answers

How do i do 3=4(x-2)+5-3x

SashulF [63]

Answer:

6 = x

Step-by-step explanation:

first, we simplify the parenthesis by distributing the 4

3 = 4(x - 2) + 5 - 3x

3 = 4x - 8 + 5 - 3x

then, you add like terms

3 = x - 3

then add 3 to both sides to isolate x

6 = x

4 0

3 years ago

Read 2 more answers