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3 years ago

Solving Two-Step Inequalities

Mathematics

1 answer:

Nuetrik [128]3 years ago

6 0

Answer:

x > $\frac{9}{5}$

Step-by-step explanation:

Given

$\frac{2}{3}$ x - $\frac{1}{5}$ > 1

Multiply through by 15 to clear the fractions

10x - 3 > 15 ( add 3 to both sides )

10x > 18 ( divide both sides by 10 )

x > $\frac{18}{10}$ , that is

x > $\frac{9}{5}$

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A credit card company charges 18.6% percent per year interest. Compute the effective annual rate if they compound, (a) annualy,

Darina [25.2K]

Answer:

a) Effective annual rate: 18.6%

b) Effective annual rate: 20.27%

c) Effective annual rate: 20.43%

d) Effective annual rate: 20.44%

Step-by-step explanation:

The effective annual interest rate, if it is not compounded continuously, is given by the formula

$I=C(1+\frac{r}{n})^{nt}-C$

where

C = Amount of the credit granted

r = nominal interest per year

n = compounding frequency

t = the length of time the interest is applied. In this case, 1 year.

In the special case the interest rate is compounded continuously, the interest is given by

$I=Ce^{rt}-C$

(a) Annually

$I=C(1+\frac{0.186}{1})-C=C(1.186)-C=C(1.186-1)=C(0.186)$

The effective annual rate is 18.6%

(b) Monthly

There are 12 months in a year

$I=C(1+\frac{0.186}{12})^{12}-C=C(1.2027)-C=C(0.2027)$

The effective annual rate is 20.27%

(c) Daily

There are 365 days in a year

$I=C(1+\frac{0.186}{365})^{365}-C=C(1.2043)-C=C(0.2043)$

The effective annual rate is 20.43%

(d) Continuously

$I=Ce^{0.186}-C=C(1.2044)-C=C(0.2044)$

The effective annual rate is 20.44%

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2 years ago

Bags of nails weigh 200 grams each.

Tems11 [23]

Answer:ewlkdgvs8u9ejrmxc

Step-by-step explanation:lu7iy 6t5r47oe;8jo/ilni.ub8yu

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2 years ago

5 1/3 + ( 2 1/3 + 1 1/3)=

Fiesta28 [93]

Okay so you want to do the parentheses first okay? So 2.3333...+1.3333333 is?3.666 or 3 2/3. So you got that right? So then 5 1/3+ 3 2/3. You get an easy 9. Because 1/3+ 2/3 adds up to 3/3, and is normally written as 1. So add a one to 5+3=8+1.

6 0

3 years ago

Read 2 more answers

A hot air balloon travels 1,470 miles at a constant rate 6 hours. what is the rate of the speed?

PSYCHO15rus [73]

Answer:

245 miles per hour

Step-by-step explanation:

1470 divided by 6

5 0

2 years ago

PROBLEM 2 Evaluate 5x – – when x = 4 and y = 2.

krok68 [10]

Answer:

Step-by-step explanation:

1. substitute x for (4)

2. multiply 5(4)

3. The answer is 20

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3 years ago