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3 years ago

A car rental company charges an initial fee plus a constant fee per kilometer driven.

Mathematics

1 answer:

leva [86]3 years ago

3 0

Answer:

$120

Step-by-step explanation:

constant fee = (204-183) /(140-105)

= 21/35 = $0.6 per km

so, initial fee =

183 - (105 × 0.6)

= 183 - 63

= 120

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Complete the solution of the equation. find the value of y when x equals 1. <br><br>9x +7y= -12

Taya2010 [7]

Answer:

$y=-3$

Step-by-step explanation:

Given Equation:

$9x +7y=-12\\$ y=? at x= 1

Putting the given value of 'x' in the equation:

$9(1) +7y=-12\\\\9+7y=-12\\\\7y=-12-9\\\\7y=-21\\\\y=-\frac{21}{7} \\y=-3$

At $x=1$ , the value of y is $y=-3$

6 0

4 years ago

A triangle has an area of 80 yd^2 and a height of 10 yd. How long is the base of a triangle? Enter in the answer in the box.

sdas [7]

Answer:

Length of the base is 16 yards.

Step-by-step explanation:

We are given that,

Area of the triangle = 80 yd²

Height of the triangle = 10 yards

Since, we know,

Area of a triangle = $\frac{1}{2}\times Base \times Height$

So, we get,

$80=\frac{1}{2}\times Base \times 10$

i.e. $80=Base \times 5$

i.e. $Base=\frac{80}{5}$

i.e. Base = 16 yards

Thus, the length of the base is 16 yards.

8 0

4 years ago

Read 2 more answers

Consider the probabilities of people taking pregnancy tests. Assume that the true probability of pregnancy for all people who ta

Valentin [98]

Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem, the events are:

Event A: Positive test result.

Event B: Pregnant.

The probability of a positive test result is composed by:

99% of 10%(truly pregnant).

2% of 90%(not pregnant).

Hence:

$P(A) = 0.99(0.1) + 0.02(0.9) = 0.117$

The probability of both a positive test result and pregnancy is:

$P(A \cap B) = 0.99(0.1)$

Hence, the conditional probability is:

$P(B|A) = \frac{0.99(0.1)}{0.117} = 0.8462$

0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

You can learn more about conditional probability at brainly.com/question/14398287

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2 years ago

The people playing golf hit the golf ball into the green

Fudgin [204]

Answer:

16%

Step-by-step explanation:

4/25 as a percent is 16 % BRAINLEIST PLEASEEEEEE

6 0

3 years ago

Jenny invests $2,000 at an interest rate of 5%. The amount of money, ma, in Jenny's account after t years can be

Margaret [11]

After t years, the expression that can be used to represent the money in Jenny account is Mp=2000(1.05)^t+(1.05)^4

<h3 /><h3>Compound interest Computation</h3>

Given Data

Principal P = $2000

Rate r = 5%

Time t = 4 years

A = P + I where

P (principal) = $2,000.00

I (interest) = $431.01

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 2,000.00(1 + 0.05/1)(1)(4)

A = 2,000.00(1 + 0.05)(4)

A = $2,431.01

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $2,000.00 at a rate of 5% per year compounded 1 times per year over 4 years is $2,431.01.

Learn more about compound interest here:

brainly.com/question/24924853

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3 years ago

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