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4 years ago

Write a unit rate for the situation 270 miles in 6 hours

Mathematics

2 answers:

mariarad [96]4 years ago

4 0

270 X
_____ _____
6 1

Arada [10]4 years ago

3 0

45 miles per hour. 270 divided by 6 is 45 there.

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Leokris [45]

Using the interest formulas, it is found that the values of the investment are given as follows:

Using simple interest, the value will be of $34,000.

Using compound interest, the value will be of $144,461.

Using continuous compounding, the value will be of $148,002.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

$A(t) = P(1 + rt)$

In which:

P is the initial amount.

r is the interest rate, as a decimal.

In this problem, we have that the parameters are as follows:

P = 9000, r = 0.07, t = 40.

Hence:

$A(t) = 9000(1 + 0.07 x 40) = 34200$

<h3>Compound interest</h3>

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

n is the number of compounding, for quarterly n = 4, then:

$A(t) = 9000\left(1 + \frac{0.07}{4}\right)^{4 \times 40}$

$A(t) = 144461$

<h3>Continuous compounding</h3>

$A(t) = Pe^{rt}$

Hence:

$A(t) = 9000e^{0.07 \times 40} = 148002$

More can be learned about the interest formulas at brainly.com/question/25296782

#SPJ1

7 0

2 years ago

Hi I need help please.

trasher [3.6K]

Answer:

60x36x120

Step-by-step explanation:

Because the scale factor is 1:12, you multiply the dimension of the building by 12.

3 0

3 years ago

15 pts. Prove that the function f from R to (0, oo) is bijective if - f(x)=x2 if r- Hint: each piece of the function helps to "c

solniwko [45]

Answer with explanation:

Given the function f from R to $(0,\infty)$

f: $R\rightarrow(0,\infty)$

$-f(x)=x^2$

To prove that the function is objective from R to $(0,\infty)$

Proof:

$f:(0,\infty )\rightarrow(0,\infty)$

When we prove the function is bijective then we proves that function is one-one and onto.

First we prove that function is one-one

Let $f(x_1)=f(x_2)$

$(x_1)^2=(x_2)^2$

Cancel power on both side then we get

$x_1=x_2$

Hence, the function is one-one on domain [tex[(0,\infty)[/tex].

Now , we prove that function is onto function.

Let - f(x)=y

Then we get $y=x^2$

$x=\sqrt y$

The value of y is taken from $(0,\infty)$

Therefore, we can find pre image for every value of y.

Hence, the function is onto function on domain $(0,\infty)$

Therefore, the given $f:R\rightarrow(0.\infty)$ is bijective function on $(0,\infty)$ not on whole domain R .

Hence, proved.

3 0

3 years ago

In the diagram of isosceles trapezoid ABCD, AB= 18, CD= 10, and AD= BC=5.

adelina 88 [10]

The height is 3. I have a pic to show the work

5 0

3 years ago

Flora is making salsa for a party. Every 1 cup of chopped tomatoes makes 2 3/4 cups of salsa. She uses 1 2/3 cups of tomatoes. H

pogonyaev

Answer:

4 $\frac{7}{12}$ cups of Salsa.

Step-by-step explanation:

Flora is making Salsa for a party.

Every 1 cup of chopped tomatoes makes 2 $\frac{3}{4}$ = $\frac{11}{4}$ cups of Salsa

She uses 1 $\frac{2}{3}$ = $\frac{5}{3}$ cups of tomatoes

1 $\frac{2}{3}$ cups of tomatoes makes:

$\frac{5}{3}$ × $\frac{11}{4}$ ÷ 1 = $\frac{55}{12}$ = 4 $\frac{7}{12}$ cups of Salsa.

5 0

3 years ago