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2 years ago

If a function f(x) is shifted to the left one unit, what function represents the transformation?

2 answers:

6 0

So we want to know what transformation shifts the function f(x) one unit to the left. To know that lets take a look at the argument x. So when we add 1 unti to x it becomes x+1 and it is shifted to the right. When we add -1 to x it becomes x-1 and shifts to the left. So the answer is f(x-1).

Kay [80]2 years ago

3 0

Answer:

The answer is A : f(x+1)

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Mama L [17]

Hole? It depends how big it is. Since there is no hole being depicted in this question, the answer is inexcusably 2ft

7 0

3 years ago

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:

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brainly.com/question/28004698

4 0

1 year ago

A ball is dropped from a height of 10 meters. Each time it bounces, it reaches 50 percent of its previous height. The total vert

fgiga [73]

Answer:

0.3125

Step-by-step explanation:

If it decreases by 50% each time it hits the ground then all you have to do is divide 10 by 2 (50%) each time it bounces.

10 / 2 = 5 (first bounce)

5 / 2 = 2.5 (second bounce)

2.5 / 2 = 1.25 (third bounce)

Ect. . .

Until on the fifth bounce it is 0.3125m high.

3 0

2 years ago

Consider two populations of coins, one of pennies and one of quarters. A random sample of 25 pennies was selected, and the mean

Alexus [3.1K]

Answer:

No, the conditions for normality have not been met because the sample size for the quarters is not large enough and no information is given about the distributions of the populations.

Step-by-step explanation:

"The Kolmogorov-Smirnov test (K-S) and Shapiro-Wilk (S-W) test are designed to test normality by comparing your data to a normal distribution with the same mean and standard deviation of your sample. If the test is NOT significant, then the data are normal, so any value above .05 indicates normality"

5 0

2 years ago

Read 2 more answers

Select three ratios that are equivalent to 4:3 Choose 3 correct answers

gregori [183]

Answer:

8:6 & 12:9 & 16:12

Step-by-step explanation:

hope this help ☆

7 0

3 years ago