If 12x – 20 = 10x + 20 what is the value of 3x ?

Use the periodic compound interest formula to solve.

77julia77 [94]

Answer:

$15,539.67

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

Given:

P = $11,000
r = 5.8% = 0.058
n = 4 (quarterly)
t = 6 years

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

$\implies \sf A=11000\left(1+\frac{0.058}{4}\right)^{(4 \times 6)}$

$\implies \sf A=11000(1.0145)^{24}$

$\implies \sf A=15539.67451...$

Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.

3 0

2 years ago

Resuelve las ecuaciones 3(2x-1)+5(x-3)=4x+7 5-x-(2x+3)= 3+8x

Ivan

Let's solve your equation step-by-step.3(2x−1)+5(x−3)=4x+7Step 1: Simplify both sides of the equation.3(2x−1)+5(x−3)=4x+7Simplify:11x−18=4x+7Step 2: Subtract 4x from both sides.11x−18−4x=4x+7−4x7x−18=7Step 3: Add 18 to both sides.7x−18+18=7+187x=25Step 4: Divide both sides by 7.7x7=257x=257Answer:x=257


Let's solve your equation step-by-step.5−x−(2x+3)=3+8xStep 1: Simplify both sides of the equation.5−x−(2x+3)=3+8xSimplify:−3x+2=8x+3Step 2: Subtract 8x from both sides.−3x+2−8x=8x+3−8x−11x+2=3Step 3: Subtract 2 from both sides.−11x+2−2=3−2−11x=1Step 4: Divide both sides by -11.−11x−11=1−11x=−111Answer:x=−111
Espero que esto ayude

4 0

3 years ago

Read 2 more answers

Equation B: 3x+2x+6=6x-5 ( does that have one solution, no solution, or many solutions?) and explain why

Hoochie [10]

It has one solution.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

7 0

3 years ago

Read 2 more answers

Ms Adams shares out 36 pencils between Niamh and jack in the ratio 4:8

malfutka [58]

Answer:

Niamh gets 12 and Jack gets 24.

Step-by-step explanation:

4:8 is equal to 1:2. 1 part + 2 parts is equal to 3 parts, which is equal to the whole. 36 is the whole, so 36/3 is equal to 12. 1 * 12 is equal to 12, and 2 * 12 is equal to 24.

7 0

3 years ago

Read 2 more answers

ABCD is a rectangle that represents a park. The lines show all the paths in the park. The circular path is in the center of the

djyliett [7]

Complete Question:

ABCD Is a rectangle that represents a park.

The lines show all the paths in the park.

The circular path is in the centre of the rectangle and has a diameter of 15m.

Calculate the shortest distance from A to C across the park,using only the lines shown.

*See attachment for the diagram showing the paths in the park.

Answer:

Shortest distance from A to C through the paths only = 102.9 m

Step-by-step explanation:

Length of park = 80 m

Width of park = 50 m

Diameter of the circular path in the center of the park = 15 m

Therefore:

Shortest distance between from A to C across the park if we're to follow only the lines showing the oaths would be = (length of diagonal AC - diameter of the circular path) + (½ of the circumference of the circular path)

✔️Use pythagorean theorem to find AC:

AC = √(80² + 50²) = √8,900

AC = 94.3398113 ≈ 94.34 m (nearest hundredth)

✔️Diameter of circular path = 15 m

✔️½ of the circumference of the circular path = ½(πd)

d = 15 m

½ of the circumference = ½(π*15) = 23.5619449 ≈ 23.56 m (nearest hundredth)

✔️Shortest distance = (94.34 - 15) + 23.56 = 79.34 + 23.56 = 102.9 m

5 0

3 years ago