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3 years ago

Sequence of Transformation

Mathematics

2 answers:

weeeeeb [17]3 years ago

8 0

Answer:

F (4, 2) G (2, 2) H (0, -4)

Step-by-step explanation:

algol133 years ago

8 0

F (4,2) G (2,2) H (0,-4)

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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

Number graph that ranges from negative five to five on the x and y axes. A line passes through the labeled points (negative four

kvv77 [185]

The y coordinates stay the same, so the answer is C. y = -3

6 0

3 years ago

WILL MARK BRAINLIEST AND WORTH 30 POINTS

BabaBlast [244]

Answer:

The growth factor of f(x) is less than the growth factor of g(x).

Explanation:

$\displaystyle g(x) = 3(4)^x \\ \\ f(x) = 4(3)^x$

x | f(x)

_____

0 | 4

1 | 12

2 | 36

You can tell because the g(x) function is multiplying by 4, while the f(x) function is multiplying by 3.

I am joyous to assist you anytime.

5 0

3 years ago

In the figure, three line segments cross at a common point. Angle A is 45°, and angle E is 85°. What is the measurement of angle

katen-ka-za [31]

Answer: Measure angle H = 42°

Step-by-step explanation:

"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"

In given we have,

angle E is an exterior angle to triangle DFH

The two non-adjacent angles to angle E are angles D and H

Based on the above rule,

measure angle E = measure angle D + measure angle H

We are given this:

angle E = 87°

angle D = 45°

Substitute with the givens in the above rule and solve for the measure of angle H as follows:

angle E = angle D + angle H

87° = 45° + measure angle H

measure angle H = 87° - 45°

measure angle H = 42°

Hope this helped!

5 0

2 years ago

What is the growth (or slope) of the simplified equation??

DIA [1.3K]

Answer:i think its y+3x+8x-7

Step-by-step explanation:i dont have to explain

4 0

2 years ago