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2 years ago

9

What is the volume of the cone to the nearest tenth?

1 answer:

nika2105 [10]2 years ago

6 0

I'm pretty sure that the volume is 1520.5

Hope this helps you out Superme485!

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phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year

Lelechka [254]

<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

$\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}$

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

$\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}$

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

8 0

3 years ago

Hellllllllllllllllllllllllllp

murzikaleks [220]

Answer:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Step-by-step explanation:

Slope-intercept form of a <u>linear equation</u>:

$\boxed{y=mx+b}$

where:

m is the slope.
b is the y-intercept (where the line crosses the y-axis).

<u>Slope formula</u>

$\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}$

<u>Equation 1</u>

<u />

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(-1, 6)$

$\textsf{Let }(x_2,y_2)=(0, 1)$

<u>Substitute</u> the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5$

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=-5x+1$

<u>Equation 2</u>

<u />

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(1, 1)$

$\textsf{Let }(x_2,y_2)=(0, -4)$

<u>Substitute</u> the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5$

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=5x-4$

<u>Conclusion</u>

Therefore, the system of linear equations shown by the graph is:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Learn more about systems of linear equations here:

brainly.com/question/28164947

brainly.com/question/28093918

5 0

1 year ago

Read 2 more answers

Yasmin bought several items at the discount store. She paid 8.75 percent

Y_Kistochka [10]

The total amount of her purchase before tax was added is; $52.46

<h3>How to calculate discounted amount?</h3>

We are told that the percentage sales tax she paid on her purchase was 8.75% which translated to an amount of $4.59.

Now, let the amount of her purchase be x. Thus;

8.75% * x = $4.59

x = 4.59 * 100/8.75

x ≈ $52.46

Read more about Discounted amount at; brainly.com/question/7459025

#SPJ1

6 0

1 year ago

un aranjament floral din 4 lalele si 3 frezii costa 36 lei iar altul compus din 5 lalele si 6 frezii este egal cu 50 de lei afla

butalik [34]

Answer:

cred că 34 îmi pare rău că nu am un român bun ;w;

Step-by-step explanation:

6 0

2 years ago

A proportion is an equation that states two _____ are equal.

Dafna1 [17]

Proportions have two fractions so the answer is ratios.

Hope it helps :)

5 0

3 years ago

Read 2 more answers