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cluponka [151]
3 years ago
9

Mr. Nolan has a bank account that compounds interest

Mathematics
1 answer:
german3 years ago
4 0

Answer: At the end of the day on December 8, he has a total balance of $2841.02

Step-by-step explanation:

The rate at which the compound interest adds up is a 3.7%.

His principal is $2644.08, on the 7th of December, he withdraws $550. Thus, his balance is = $2644.08 - $550 = $2094.08.

He later deposits $934, after being paid by his employer.

That is $2094.08 + $934 = $3028.08

Which is his balance at the end of the day on December 7.

Remember that the rate is daily, at a 3.7%.

A 3.7% of the balance of December 7, $3028.08 is $112.039.

In total, interest +amount = real balance,

$112.039+$3028.08 = $3140.119

He later withdraws $300 for holiday shopping = $3140.119 - 300 = $2840.119

But 1 dollar = 100 cents and vice versa.

Therefore, $2840.119 = $2841.019

In two decimal places, that is approximately $2841.02

Therefore, Mr Nolan's balance at the end of December 8 is $2841.02.

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Answer:

it is b !!

Step-by-step explanation:

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5 0
3 years ago
What are three different methods for solving systems of equations and when would you use each one?
Marrrta [24]

The first method is substitution. This is when the x or y value that is known is substituted into one of the equations. This should be done when you can easily see or find the x or y value.

Example: x = 3, and x + 8y = 30.

The x was given in the first equation (x = 3), and can therefore be substituted into the other equation to find y.

The next method is elimination. This is when you add the two systems together and eliminate either the x values or the y values. This should be done when there are opposite signs of the same number in both equations.

Example: y - 3x = 24, and 2y + 3x = 7

In the first equation you have -3x, and in the second you have 3x. If you were to add the two equations, the x values would cancel out and you would be left with:

y + 2y = 24 + 7

And then you could solve for y.

The last method is to graph both equations and to see at which point the lines intersect.

7 0
3 years ago
5x + 4m = 43my + 6 solve for m
pav-90 [236]

9514 1404 393

Answer:

  m = (5x -6)/(43y -4)

Step-by-step explanation:

Subtract 4m+6 to separate m-terms from other terms.

  5x +4m -(4m +6) = 43my +6 -(4m +6)

  5x -6 = 43my -4m

  5x -6 = m(43y -4) . . . . factor out m

 (5x -6)/(43y -4) = m . . . . divide by the coefficient of m

7 0
3 years ago
Solve the equality, - (7c-18)-2c>0
Gwar [14]
(7c-18)-2c>0

group like terms: 7c-2c-18>0

add similar elements: 7c-2c=5c
5c-18+18>0+18

Add 18 to both sides
5c-18+18>0+18

simplify
5c>18

divide both sides by 5
5c÷5>18/5

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7 0
4 years ago
A van drove 241. 92 miles on 10. 8 gallons of gas. How far could the van drive on a full tank of 16. 2 gallons of gas? Drag and
mrs_skeptik [129]

You can use the given data to find out how many miles does the van travels for 1 gallon of gas. This will help you get the distance van can travel for full tank (16.2 gallons) of gas.

The considered van with full tank(16.2 gallons) can travel 362.88 miles

<h3>How to find the distance the van can travel per gallon of gas?</h3>

Since the considered van traveled 241.92 miles in 10.8 gallons, then we can take equal in dimension of input and output relation.

10.8 \: \rm gallons = 241.92 \: miles\\\\\text{Dividing both quantities by 10.8 to get miles traveled per gallon}\\\\\dfrac{10.8}{10.8} \:  gallon = \dfrac{241.92}{10.8} \: miles\\\\ 1 \: gallon = 22.4 \: miles

Thus, the considered van travels 22.4 miles per gallon of gas.

Now, since full tank consists of 16.2 gallons, thus, multiplying by 16.2 on both the sides, we  get

\rm 1 \: gallon = 22.4 \: miles\\\\16.2 \: gallons  = 16.2 \times 22.4 \: miles = 362.88 \: miles

Thus,

The considered van with full tank(16.2 gallons) can travel 362.88 miles

Learn more about division here:

brainly.com/question/2689177

8 0
2 years ago
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