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valentina_108 [34]

2 years ago

15

A rental truck costs $96 per day plus $0.60 per each mile. If Calvin can spend a maximum of $120, how many miles can he drive th

e rental truck?

1 answer:

Vilka [71]2 years ago

6 0

Cost of renting a truck for one day = $96

Money Calvin can spend = $120

Money left with Calvin after he spends on the daily rent :

$= \tt120 - 96$

$= \tt\$ 24$

Cost charged per mile = 0.60

Number of miles he can drive the rental truck :

$=\tt 24 \div 0.60$

$= \color{plum}\tt40 \: \: miles$

Thus, number of miles he can run the truck = 40 miles

Therefore, Calvin can run the truck for 40 miles after he pays the daily fee.

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(1 point) A coin, thrown upward at time t = 0 from an office in the Empire State Building, has height in feet above the ground t

mojhsa [17]

Answer:

The coin was thrown from 448 feet

Time to hit the ground is 7 seconds

Step-by-step explanation:

Given

$h(t) = -16(t - 7)(t + 4)$

Solving (a): Height when coin is thrown

At this point t = 0

So, we have:

$h(0) = -16(0 - 7)(0 + 4)$

Solve expressions in the brackets

$h(0) = -16(-7)(4)$

$h(0) = 448$

<em>Hence, the coin was thrown from 448 feet</em>

Solving (b): Time to hit the ground

At this point, h = 0.

So, we have:

$0 = -16(t - 7)(t + 4)$

Reorder

$-16(t - 7)(t + 4) = 0$

Divide both sides by -16

$(t - 7)(t + 4) = 0$

This gives:

$t - 7 = 0$ or $t + 4 = 0$

$t = 7$ or $t = -4$

Since, time can't be negative;

$Time = 7\ seconds$

4 0

3 years ago

A central angle of a circle that measures 2 radians intercepts an arc of length 10 cm. What is the length of the radius?

Ilya [14]

Answer:

5 cm

Step-by-step explanation:

Arc length (S) = 10 cm

Central angle $(\theta)$ = 2 radians

We need to find: radius of the circle (r)

$\because S = r \theta$

$\therefore 10 = r(2)$

$\therefore r= \frac{10}{2}$

$\therefore r= 5\: cm$

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3 years ago

You have been asked to calculate the break-even point for a new line of souvenir t-shirts. the selling price will be $25 per shi

Klio2033 [76]

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3 0

2 years ago

For a hypothesis test of H0: p = 0.40 against the alternative Ha: p > 0.40, the z test statistic is found to be 2.25. What ca

umka2103 [35]

Answer: Reject the null hypothesis because the test statistic 2.25 falls in the rejection region of the critical value.

Step by step explaination:

H0: p = 0.40

Ha: p > 0.40

Decision rule: Reject the null hypothesis (H0) if the test statistic is greater than the critical value.

Test statistic (z) = 2.25

The test is a one-tailed test because the alternate hypothesis is expressed using the inequality greater than

Assuming a 5% significance level, the critical value is 1.645

Conclusion: Reject H0 because the test statistic 2.25 is greater than the critical value 1.645.

3 0

2 years ago

Of the cartons produced by a company, 5% have a puncture, 8% have a smashed corner, and 0.4% have both a puncture and a smashed

Vladimir [108]

The probability that a randomly selected carton has a puncture or a smashed corner is 12.6%.

In this problem, the events are:

Event A: Puncture.

Event B: Smashed corner.

The "or" probability is given by:

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5% have a puncture, hence $P(A)=0.05$

8% have a smashed corner, hence $P(B)=0.08$

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Then:

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Therefore, The probability that a randomly selected carton has a puncture or a smashed corner is 12.6%.

Learn more about probability here brainly.com/question/20344684

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1 year ago