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3 years ago

Solve d=rt for t when r=75mph and d=450mi

Mathematics

1 answer:

madam [21]3 years ago

8 0

Answer:

t = 6 hours

Step-by-step explanation:

First, we need to plug in our known information into d = rt.

450mi = $\frac{75mi}{1hr}$ * t

450mi = 75mi * t --- simplify fraction

t = $\frac{450}{75}$

t = 6 hours

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Three years ago, you purchased a stock at a price of $33.48. The stock paid annual dividends of $.60 per share. Today, the stock

mixas84 [53]

Answer:

10.51%

Step-by-step explanation:

Data provided in the question:

Period Initial value = $33.48

Period end value = $35.20

Annual dividend paid = $0.60

Total time = 3 years

Therefore,

the total dividend paid i.e the income = 3 × $0.60 = $1.80

Now,

The holding period is given as:

$= \frac{ \textup{Income + end period value - initial period value }}{\textup{initial period value}}\times100\%$

= $\frac{ \textup{1.80 + 35.20 - 33.48}}{\textup{33.48}}\times100\%$

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3 years ago

Write a linear function f with the values f(10)=5 and f(2)=-3

Nutka1998 [239]

Answer:

$f(x)=x-5$

Step-by-step explanation:

step 1

Find the slope m

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(10,5) and (2,-3)

substitute the values

$m=\frac{-3-5}{2-10}$

$m=\frac{-8}{-8}$

$m=1$

step 2

Find the equation of the line in slope intercept form

$f(x)=mx+b$

we have

$m=1$

$point\ (10,5)$

substitute and solve for b

$5=(1)(10)+b$

$5=10+b$

$b=-5$

The linear function is equal to

$f(x)=x-5$

3 0

2 years ago

Test Practice A restaurant has 36 tables. If each table can sit five

m_a_m_a [10]

Answer: 180 people

Step-by-step explanation: We have to use

multiplication to solve this problem.

1 table → 5 people

36 tables → 5 × 36 = 180 people

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2 years ago

Cara sells 90% of the apples she picks. one day she picks 10 pounds.how many pounds does she sell.

blagie [28]

If she picked 10 pounds, 90% of that is 9 pounds

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2 years ago

Read 2 more answers

Write a linear equation to describe the number pattern that starts with 3 and continues with positive odd integers.

9966 [12]

In order to have a linear equation, you have to write an equation like

$y=mx+q$

The sequence has to start with 3, so we must choose $q=3$ , because this guarantees that when $x=0$ we have

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Now, $m$ must be even. In fact, if $m$ is even, $mx$ will always be even for every possible $x$ , and $mx+3$ will be odd.

So, for example, you might choose

$y=2x+3$

Which will produce the following sequence:

$\begin{array}{c|c}x&f(x)\\0&3\\1&5\\2&7\\3&9\end{array}$

and so on

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2 years ago