What is the point slope form of the line with slope that passes through the point (-4,

Zach and Warren both leave the coffee shop at the same time, but in opposite directions. If Warren travels 7 mph faster than Zac

Solnce55 [7]

Answer:

The speed of the Zach travelling is 8 miles per hour.

The speed of the Warren travelling is 15 miles per hour.

Step-by-step explanation:

Given : Zach and Warren both leave the coffee shop at the same time, but in opposite directions. If Warren travels 7 mph faster than Zach and after 7 hours they are 161 miles apart.

To find : How fast is each traveling?

Solution :

Let the speed of Zach is x mile per hour.

If Warren travels 7 mph faster than Zach

The speed of the Warren is x+7 miles per hour.

Zach and Warren both leave the coffee shop at the same time, but in opposite directions.

The distance covered is 161 miles in 7 hours.

We know, $\text{Distnace}=\text{Speed}\times \text{Time}$

Substitute,

$161=(x+x+7)\times7$

$\frac{161}{7}=2x+7$

$23=2x+7$

$2x=23-7$

$2x=16$

$x=8$

The speed of Warren is 8+7=15

The speed of the Zach travelling is 8 miles per hour.

The speed of the Warren travelling is 15 miles per hour.

6 0

3 years ago

Read 2 more answers

There are 4 cards in the box with the numbers 2, 5, 6, and 8. Two cards are drawn one after the other. The second card drawn is

malfutka [58]

It is given that there are 4 cards with numbers 2, 5, 6, and 8.

1) It is required to list all the numbers available when two cards are drawn one after the other and the second card is placed at the right of the first card drawn.

To do this, find the sample space of the draw which are:

$25,26,28,52,56,58,62,65,68,82,85,86$

Hence, the required numbers.

2) Recall that probability is the ratio:

$Probability=\frac{\text{ number of favorable outcomes}}{\text{ total number of possible outcomes}}$

From the numbers listed, notice that the total number of possible outcomes is 12.

Since event A is "obtained number is even", notice that the number of even numbers in the listed numbers is 9 (26,28,52,56,58,62,68,82,86).

Hence, the number of favorable outcomes is 9.

Substituting into the probability ratio gives the required probability:

$P(A)=\frac{9}{12}=\frac{3}{4}$

Check the number of numbers that are a multiple of 5, notice that they are 3 (25,65,85).

Hence, the required probability of event B is:

$P(B)=\frac{3}{12}=\frac{1}{4}$

The number of multiple of 3 in the listed numbers is 0 since there is no number that is a multiple of 3.

Hence, the required probability of event C is:

$P(C)=\frac{0}{12}=0$

Answers:

1) {25,26,28,52,56,58,62,65,68,82,85,86}

2) P(A) = 3/4

P(B) = 1/4

P(C)= 0

7 0

1 year ago

X + y =7 What is the answer show your work

azamat

Answer:

x = 3
y = 4.
There are infinite solutions. I'll just give you this solution.

Step-by-step explanation:

Given equation:

x + y = 7

Solve for variables:

7 - x = y
7 - 3 = 4
7 - y = x
7 - 4 = 3.

Answers:

x = 3
y = 4.

3 0

3 years ago

U=a-k, solve for a. thanks for helping

Flauer [41]

U=A-K
U+K=A
A=K+U THIS IS THE ANSWER

8 0

3 years ago

Dan took out a 24-year loan for $111,000 at an APR of 7.7%, compounded

Gekata [30.6K]

Dan would save more by paying off his loan 13 years early

Step-by-step explanation:

The formula for compound interest, including principal sum, is:

$A=P(1+\frac{r}{n})^{nt}$ where:

A is the future value of the investment/loan, including interest
P is the principal investment amount (the initial deposit or loan amount)
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

Dan took out a 24-year loan for $111,000 at an APR of 7.7%,

compounded monthly

∴ P = $111,000

∴ r = 7.7% = (7.7/100) = 0.077

∴ n = 12 ⇒ compounded monthly

∵ The loan is paid in 13 years

∴ t = 24 - 13 = 11 years ⇒ 13 years early

- Substitute these values in the formula above

∴ $A=111,000(1+\frac{0.077}{12})^{(12)(11)}$

∴ A = $258,223.20

If it paying in 24 years

∴ $A=111,000(1+\frac{0.077}{12})^{(12)(24)}$

∴ A = $700,382.38

∴ Dan saves = 700,382.38 - 258,223.20 = $442,159.18

Forrest took out a 24-year loan for $96,000 at an APR of 7.7%,

compounded monthly

∴ P = $96,000

∴ r = 7.7% = (7.7/100) = 0.077

∴ n = 12 ⇒ compounded monthly

∵ The loan is paid in 13 years

∴ t = 24 - 13 = 11 years ⇒ 13 years early

- Substitute these values in the formula above

∴ $A=96,000(1+\frac{0.077}{12})^{(12)(11)}$

∴ A = $223,328.17

If it paying in 24 years

∴ $A=96,000(1+\frac{0.077}{12})^{(12)(24)}$

∴ A = $605,736.11

∴ Forrest saves = 605,736.11 - $223,328.17 = $382.407.94

∵ Dan saves $442,159.18

∵ Forrest saves $382,407.94

∴ Dan would save more by paying off his loan 13 years early

Dan would save more by paying off his loan 13 years early

Learn more:

You can learn more about interest in brainly.com/question/8280736

#LearnwithBrainly

7 0

3 years ago

Read 2 more answers

What is the point slope form of the line with slope that passes through the point (-4, - 7)?