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2 years ago

Which values from the set{5,7,9,11,13} make the inequality w-4<8 true?

Mathematics

1 answer:

Rasek [7]2 years ago

7 0

Answer:

5, 7, 9, 11

Step-by-step explanation:

Solve the inequality

w - 4 < 8 ( add 4 to both sides )

w < 12

w ∈ { 5, 7, 9, 11 }

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butalik [34]

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3 years ago

Recall that in the problem involving compound interest, the balance A for P dollars invested at rate r for t years compounded n

RoseWind [281]

Answer:

(a)∴A=$6753.71.

(b)∴A=$1480.24

(c) ∴P=$7424.70

(d)∴P=$49759.62

(e)∴P=$5040.99

(f) ∴P=$2496.11

Step-by-step explanation:

We use the following formula

$A=P(1+\frac rn)^{nt}$

A=amount in dollar

P=principal

r=rate of interest

(a)

P=$2,500, r=5%=0.05,t =20 years , n= 4

$A=\$2500(1+\frac{0.05}{4})^{(20\times 4)$

=$6753.71

∴A=$6753.71.

(b)

P=$1,000, r=8% =0.08,t =5 years , n= 2

$A=\$1000(1+\frac{0.08}{2})^{(5\times 2)$

=$1480.24

∴A=$1480.24

(c)

A=$10,000, r=6% =0.06,t =5 years , n= 4

$10000=P(1+\frac{0.06}{4})^{(5\times 4)}$

$\Rightarrow P=\frac{10000}{(1+0.015)^{20}}$

$\Rightarrow P=7424.70$

∴P=$7424.70

(d)

A=$100,000, r=6% =0.06,t =10 years , n= 12

$100000=P(1+\frac{0.07}{12})^{(10\times 12)}$

$\Rightarrow P=\frac{100000}{(1+\frac{0.07}{12})^{120}}$

$\Rightarrow P=49759.62$

∴P=$49759.62

(e)

A=$100,000, r=10% =0.10,t =30 years , n= 12

$100000=P(1+\frac{0.10}{12})^{(30\times 12)}$

$\Rightarrow P=\frac{100000}{(1+\frac{0.10}{12})^{360}}$

$\Rightarrow P=5040.99$

∴P=$5040.99

(f)

A=$100,000, r=7% =0.07,t =20 years , n= 4

$100000=P(1+\frac{0.07}{4})^{(20\times 4)}$

$\Rightarrow P=\frac{100000}{(1+\frac{0.07}{4})^{80}}$

$\Rightarrow P=2496.11$

∴P=$2496.11

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2 years ago

15. A particular compound decays according to the equation y = ae^-0.0736t, where t is in days. Find the half-life of this compo

kakasveta [241]

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Jane needs 180 centimeters of green cloth and 240 centimeters of red cloth to make her holiday wreath. If she only had the money

Sidana [21]

Answer: She brought home 350 centimeters in total

Step-by-step explanation: The question specifies that Jane only had enough money to buy 5/6 of the materials she needed to make her wreath. For her wreath, she would need 180 centimeters of green cloth. However since she can only afford 5/6 of this, what she would end up with is

Green cloth = 180 x 5/6

Green cloth = (180 x5)/6

Green cloth = 900/6

Green cloth = 150 centimeters

Also she would need 240 centimeters of red cloth and since she can only afford 5/6 of the total, she would end up with

Red cloth = 240 x 5/6

Red cloth = (240 x5)/6

Red cloth = 1200/6

Red cloth = 200 centimeters

If she ended up with 150 centimeters of green cloth and 200 centimeters of red cloth, the total length of cloth she would bring home would be

Total = 150 + 200

Total = 350 centimeters

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3 years ago