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3 years ago

5 + 4a = 45 what does a equal

Mathematics

2 answers:

MakcuM [25]3 years ago

7 0

Answer:

a = 10

Hope this helps :)

Levart [38]3 years ago

6 0

Answer:

a=10

Step-by-step explanation:

5+4a=45

take 5 from each side

4a=40

divide both sides by 4

a=10

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katen-ka-za [31]

$a_{n+1}=\dfrac{a_n+\frac4{a_n}}2$

Assuming convergence of the sequence, we have $a_n\to L$ for some limit $L$ as $n\to\infty$ . This also means $a_{n+1}\to L$ . So in the above equation, we can substitute and solve for $L$ :

$L=\dfrac{L+\frac4L}2$

$\implies2L^2=L^2+4$

$\implies L^2=4\implies L=\pm2$

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3 years ago

What is the fourth row of Pascal’s triangle?

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Answer:

14641

Step-by-step explanation:

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2 years ago

Greg practiced playing his clarinet for 12 minutes. He has practiced 40% of the amount of time he needs to practice today. How m

lyudmila [28]

You set up a proportion so: 12/x and 40/100
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4 years ago

In the multiplication facts for 8 which digit will not be in the one places of the products

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3 years ago

Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If

valentinak56 [21]

Answer:

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

Step-by-step explanation:

Given monthly income of Ron is $3,142.23

Ron contributes 10% of his monthly income that is $ 314.223

Given : Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.

Total amount he contribute in 40 years paying 5.5% compounded monthly is given by

interest rate(r) = $\frac{0.055}{12}$

time period = 40 years = 480 months

Principal amount = $ 314.223

Future value = $P(\frac{(1+r)^n-1}{r} )$

Substitute , we get,

$=3142.23\cdot\frac{.10\left(\left(1+\frac{.055}{12}\right)^{12\cdot40}-1\right)}{\frac{0.055}{12}}$

Thus, future value is $547074.681009.

After retirement his monthly income when he has $547074.681009 amount.

$P=\dfrac{A\cdot\frac{i}{12} }{1-(1+\frac{i}{12})^{-n}}$

Putting values , we get,

$P=\frac{\left(547074.68\cdot\frac{.055}{12}\right)}{1-\left(1+\frac{0.055}{12}\right)^{-240}}$

P = $3763.25

He will receive a monthly income of $3763.25.

But given he will need a monthly income of $4,123 for 20 years which is not met by Ron.

So,the amount he need to supplement his monthly income when he retires by (4123-3763.25)= $359.74

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

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3 years ago

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