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3 years ago

6

Francesca's family traveled 2/7 of the distance to her aunts house on Saturday they traveled 4/5 of the remaining distance on Su

nday.What fraction of the total distance to her aunts house was traveled on Sunday

1 answer:

ra1l [238]3 years ago

6 0

Answer:

4/7

Step-by-step explanation:

Distance remaining at the end of Saturday's trip = 1 - 2/7

= 7/7 - 2/7 = 5/7

Fraction travelled on Sunday = 5/7 x 4/5 = 4/7

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Which if the following is true for f(x)= 3x+14 and its inverse?

kumpel [21]

The answer is f^-1(x)=x/3-14/3

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3 years ago

Read 2 more answers

A merchant buys a television for $125 and sells it for a retail price of $200. What is the markup

beks73 [17]

The markup is the percent of the original price that it is increased by. To determine the percentage marked up, you will subtract the new price and the original price, and then divide that by the original price.

200-125=$75

75/200=0.375 or 37.5% markup.

5 0

4 years ago

A investor obtained a loan of $600,000 to buy a car wash business. The monthly mortgage payment was based on 30 years at 5.5%. F

Lisa [10]

Answer:

The monthly mortgage payment is $ 8306.58

Step-by-step explanation:

Given as :

The loan taken as $ 600,000

The rate of interest = 5.5 %

The time period = 30 Years

So, from compounded method

Amount = principal × $(1 +\frac{Rate}{100})^{Time}$

or, Amount = $ 600,000 × $(1 +\frac{5.5}{100})^{30}$

Or, Amount = $ 600,000 × $(1.055)^{30}$

∴ Amount = $ 2990370.77

<u>Now for The monthly mortgage payment </u>

∵ Time period is 30 years

So , 30 years = 12 × 30 = 360 months

∴ Amount payment in monthly =$ $\frac{2990370.77}{360}$

Or, Amount payment in monthly =$ 8306.58

Hence The monthly mortgage payment is $ 8306.58 Answer

4 0

3 years ago

Tanikwa started a new exercise program using the indoor track. In her first workout she ran 8 laps for every 4 laps that she wal

Elina [12.6K]

Answer:

The correct answer would be 2:1

Step-by-step explanation:

In order to find this, start with the ratio as it is written and sub in the values. Then simplify to the lowest possible terms.

Ran:Walker

8:4

2:1

6 0

3 years ago

what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed

kramer

Answer:

$P(x \le 21) = 0.69146$

Step-by-step explanation:

The missing parameters are:

$n = 64$ --- population

$\mu = 20$ --- population mean

$\sigma = 16$ -- population standard deviation

Required

$P(x \le 21)$

First, calculate the sample standard deviation

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{16}{\sqrt {64}}$

$\sigma_x = \frac{16}{8}$

$\sigma_x = 2$

Next, calculate the sample mean $\bar_x$

$\bar x = \mu$

So:

$\bar x = 20$

So, we have:

$\sigma_x = 2$

$\bar x = 20$

$x = 21$

Calculate the z score

$x = \frac{x - \mu}{\sigma}$

$x = \frac{21 - 20}{2}$

$x = \frac{1}{2}$

$x = 0.50$

So, we have:

$P(x \le 21) = P(z \le 0.50)$

From the z table

$P(z \le 0.50) = 0.69146$

So:

$P(x \le 21) = 0.69146$

4 0

3 years ago