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oksian1 [2.3K]
3 years ago
15

Seven is at most the quotient of a number d and -5. Write the sentence as an inequality.

Mathematics
1 answer:
Furkat [3]3 years ago
6 0

Answer:

7>d/5

Step-by-step explanation:

7 is "at most" so it has a less than sign bahaha ur welcome

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janelle wishes to finance a car for $33,000. the bank's annual interest rate is 3.5%, and she can choose between durations of fi
Harman [31]

Answer:

For a duration of 5 years, Monthly Payment =$600.42

For a duration of 6 years, Monthly Payment =$508.83

Step-by-step explanation:

P=\dfrac{ar (1+r)^n}{(1+r)^n-1} \\

where a= Amount to Finance=$33,000

Annual interest rate = 3.5%=0.035

r=Monthly Interest Rate= 0.035 ÷ 12 =\frac{7}{2400}

n=number of months to pay

For a duration of 5 years

n=5X12=60 months

P=\dfrac{ar (1+r)^n}{(1+r)^n-1} \\\\P=\dfrac{33000 X\frac{7}{2400} (1+\frac{7}{2400} )^{60}}{(1+\frac{7}{2400})^{60}-1} \\=\dfrac{96.25 (1.1909)}{1.1909-1}\\=\dfrac{96.25 (1.1909)}{0.1909}\\=\dfrac{114.62}{0.1909}=\$600.42

For a duration of 6 years

n=6X12=72 months

P=\dfrac{ar (1+r)^n}{(1+r)^n-1} \\\\P=\dfrac{33000 X\frac{7}{2400} (1+\frac{7}{2400} )^{72}}{(1+\frac{7}{2400})^{72}-1} \\=\dfrac{96.25 (1.2333)}{1.2333-1}\\=\dfrac{96.25 (1.2333)}{0.2333}\\=\dfrac{118.71}{0.2333}=\$508.83

4 0
3 years ago
Plutonium-240 decays according to the function L where o
PIT_PIT [208]

Answer:

\boxed{\textbf{1700 yr}}

Step-by-step explanation:

-\dfrac{\text{d}L}{\text{d}t} = kL\\\\\dfrac{dL}{L}=-kdt\\\\\ln L = -kt + C\\\text{At t = 0, L = L$_{0}$, so C = $\ln L_{0}$}\\\ln L = -kt + \ln L_{0}\\\ln L_{0} - \ln L = kt\\\\\ln \dfrac{L_{0}}{L} =kt

Data:

L₀ = 24 g

L = 20 g

k = 0.000 11 yr⁻¹

Calculation:

\ln \dfrac{24}{20} =0.000 11t\\\\\ln 1.2 = 0.000 11t\\\\0.1823 = 0.000 11t\\\\t = \dfrac{0.1823}{0.000 11} = \textbf{1700 yr}\\\\\text{It will take } \boxed{\textbf{1700 yr}}\text{ for the polonium to decay to 20 g}

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3 years ago
Greatest to least 1.11 , 0.111 , 1.01 , 1.001
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Answer is a, 57.49.

17.42-12.60-9.62= $-4.80+62.29=57.49
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Need helps asap, im tryna get all of my work done today. So someone answer this fastt
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(4,-5) is Point C

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