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3 years ago

What is the y-intercept of the line described by the equation below? Y=6x+8

Mathematics

2 answers:

Aliun [14]3 years ago

8 0

The answer is C (0,8)

Ahat [919]3 years ago

7 0

y = mx + b

The b is always the y-intercept, so that means

y = mx + b

y = 6x + 8

The answer is C. (0, 8)!

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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

1 year ago

The leaning tower of niles is 94 feet high and makes an angle of 85.5 degrees from the ground to the top of the tower. If you dr

Brut [27]

Answer:

Distance of the keys on ground from the base of the tower = 7.38 ft

Step-by-step explanation:

Given:

Height of tower = 94 ft

Tower is leaning and makes an angle of 85.5 degrees from the ground.

Keys are dropped from the top of the tower.

To find the distance of the keys on ground from the base of the tower.

From the data given to us we can construct a right triangle ABC.

For the Δ ABC

AB= 94 ft

∠A= 85.5°

We can apply trigonometric ratio to find side BC which is the distance of the keys on ground from the base of the tower.

Using cosine ratio: $\cos\theta=\frac{Adjacent\ side}{Hypotenuse}$

In Δ ABC

$\cos85.5\°=\frac{AC}{AB}$

Multiplying both sides by AB.

$AB\cos 85.5\°=\frac{AC}{AB}\times AB$

$AB\cos 85.5\°=AC$

$AC=AB\cos 85.5\°$

Substituting value of AB and cos 85.5°

$AC=94\cos 85.5\°$

∴ $AC=7.38\ ft$

Distance of the keys on ground from the base of the tower = 7.38 ft

7 0

2 years ago

Which expression represents the phrase the product of 15 and the quantity 12 more than a number x

Stells [14]

The equation that represents the product of 15 and the is 12 more than a number would be (x+12)15=y. !

8 0

2 years ago

Read 2 more answers

Andrew makes 11 saves in 2 soccer games. He made 8 saves in the first game. How many saves did Andrew make in the second game?

natita [175]

Answer:

Step-by-step explanation:

11-8=3

3 saves were left out of the 11 for the second game

7 0

2 years ago

Read 2 more answers

A store is having a sale on jelly beans and trail mix. For 8 pounds of jelly beans and 3 pounds of trail mix, the total is $18.

topjm [15]

Answer: each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2

Step-by-step explanation:

j = jellybeans

t = trail mix

2j + 5t = 13

8j + 3t = 18

To solve this, we want to isolate a variable, and solve for the other. Let's do that with each equation.

2j + 5t = 13

2j = 13 - 5t

j = (13 - 5t) / 2

8j + 3t = 18

8j = 18 - 3t

j = (18 - 3t) / 8

Now that we have isolated the variable j in each equation, we can set the two right-sides equal to each other, and solve for t.

(13 - 5t) / 2 = (18 - 3t) / 8

By multiplying both sides by 8, this becomes simpler to look at.

8 * (13 - 5t) / 2 = 18 - 3t

4 * (13 - 5t) = 18 - 3t

4 * 13 - 4 * 5t = 18 - 3t

52 - 20t = 18 - 3t

52 = 18 + 17t

34 = 17t

34 / 17 = t

t = 2

Now that we have solved for t, we can trivially plug it into one of the other equations to solve for j. Let's choose the first equation, as it doesn't matter which we choose.

t = 2

2j + 5t = 13

2j + 5 * 2 = 13

2j + 10 = 13

2j = 13 - 10

2j = 3

j = 1.5

So, each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2.

6 0

2 years ago