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3 years ago

Find the slope of the line that passes through the given points.

Mathematics

2 answers:

sammy [17]3 years ago

8 0

Answer: -1/6

Step-by-step explanation:

slope= change of y over change of x

3-4/ 5--1=

-1/6

Hope this helps!

levacccp [35]3 years ago

6 0

Answer:

-1/6

Step-by-step explanation:

(-1, 4) and (5, 3)

y2 - y1 / x2 - x1

y2 = 3

y1 = 4

x2 = 5

x1 = -1

(3 - 4) / (5 - -1)

-1 / 6

slope = -1/6

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Use the compound interest formulas A=P e^rt to solve the problem given. round answers to the nearest cent.

goblinko [34]

Answer:

a) $20,771.76

b) $20,817.67

c) $20,484.80

d) $20,864.52

Step-by-step explanation:

Compound Interest Formula

$\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}$

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Part (a): semiannually

Given:

P = $15,000
r = 5.5% = 0.055
n = 2
t = 6 years

Substitute the given values into the formula and solve for A:

$\implies \sf A=15000\left(1+\frac{0.055}{2}\right)^{2 \times 6}$

$\implies \sf A=15000\left(1.0275}{2}\right)^{12}$

$\implies \sf A=20771.76$

Part (b): quarterly

Given:

P = $15,000
r = 5.5% = 0.055
n = 4
t = 6 years

Substitute the given values into the formula and solve for A:

$\implies \sf A=15000\left(1+\frac{0.055}{4}\right)^{4 \times 6}$

$\implies \sf A=15000\left(1.01375}\right)^{24}$

$\implies \sf A=20817.67$

Part (c): monthly

Given:

P = $15,000
r = 5.5% = 0.055
n = 12
t = 6 years

Substitute the given values into the formula and solve for A:

$\implies \sf A=15000\left(1+\frac{0.055}{12}\right)^{12 \times 6}$

$\implies \sf A=15000\left(1+\frac{0.055}{12}\right)^{72}$

$\implies \sf A=20484.80$

Continuous Compounding Formula

$\large \text{$ \sf A=Pe^{rt} $}$

where:

A = Final amount
P = Principal amount
e = Euler's number (constant)
r = annual interest rate (in decimal form)
t = time (in years)

Part (d): continuous

Given:

P = $15,000
r = 5.5% = 0.055
t = 6 years

Substitute the given values into the formula and solve for A:

$\implies \sf A=15000e^{0.055 \times 6}$

$\implies \sf A=20864.52$

Learn more about compound interest here:

brainly.com/question/27747709

brainly.com/question/28004698

4 0

2 years ago

A right triangle has a hypotenuse of 25 feet and a leg of 7 feet. Which of these is the length of the other leg?

neonofarm [45]

25^2=7^2 + x^2
49 + x^2 = 625
x^2= 576
square both sides
x=24

5 0

3 years ago

Read 2 more answers

27.96 round to the nearest tenth

Serjik [45]

Your tenths place is the 6. If a number is above 5, you round up. and since this number is 96, you would round to 100, but since its a decimal, you round up the actual number to make 28.00. Final answer: 28

7 0

3 years ago

Write 24:14:6 in its simplest form.

Iteru [2.4K]

Answer:

12 : 7 : 3

Step-by-step explanation:

24 : 14 : 6

12 : 7 : 3

Always start with smaller number to simplify it. Since 2 is the smaller number and it simplifies 24, 14, and 6 I start with it.

24 ÷ 2 = 12

14 ÷ 2 = 7

6 ÷ 2 = 3

We would stop here since it would not further simplify, therefore our answer is 12 : 7 : 3.

Hope this helps, thank you :) !!

3 0

3 years ago

ANYONE WHO CAN MAKE SEVEN QUESTIONS FOR ME ILL MARK YOU BRAINLIEST ON ALL OF THEM AND ILL GIVE THANKS ON ALL! ANSWER THIS QUESTI

AleksAgata [21]

Answer:

1)where were the two cars in relation to each other when they began traveling?

2 where do chickens live?

3 how do u make smores without using a camp fire?

4 where do pyrimids live?

5 who is the most famous singer?

6 who is the most famous rapper?

7 this is not a question it is a joke knock knock whos there

isabell ,isabell who ,is a bell ringing hehe

Step-by-step explanation:

car a was 60 miles east of car b.

car b was 10 miles east of car a.

car b was 20 miles east of car a.

car a was 10 miles east of car b.

need the right answer

8 0

3 years ago