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2 years ago

A man saves 4% of his monthly

Mathematics

1 answer:

Reptile [31]2 years ago

4 0

Answer:

Although the question is not clear, It most likely looks like you were asking for the calculation of the savings for the month after increase.

savings for the month after increase = $1172.4

Step-by-step explanation:

First, let us calculate how much was saved before the increase in savings:

monthly income = $19,540

Percentage saved = 4% of monthly income

= 4/100 × 19,540 = 0.04 × 19,540 = $781.6

Next, we are given the ratio of increase in savings as 3:2

Let the new savings amount be x

3 : 2 = x : 781.6

$\frac{3}{2} = \frac{x}{781.6} \\781.6\ \times 3\ =2x\\2344.8 = 2x\\x =\frac{2344.8}{2} \\x = \$1172.4$

therefore savings for the month after increase = $1172.4

Just incase you were looking for the savings before the increase, the answer is $781.6 (as calculated above)

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a phone company offers a monthly data plan at for $10 a month . the plan includes two megabytes of data and charges $0.10 per me

tatuchka [14]

Answer:

$\ m(x) = \{ {{10, if x\leq 2} \atop {0.1x + 9.8, if x>2}} \right.$

Step-by-step explanation:

One off charge = $10
Charge for data over 2 Mb is = $0.10 per MB

<u>The monthly charge for x MB data is:</u>

1 . Data ta used up to 2 Mb

2 . Data used more than 2 Mb

m(x) = 10 + 0.1(x - 2) = 10 + 0.1x - 0.2 = 0.1x + 9.8
m(x) = 0.1x + 9.8

So the function is:

$\ m(x) = \{ {{10, if x\leq 2} \atop {0.1x + 9.8, if x>2}} \right.$

5 0

2 years ago

George bought 9 apples that cost 50 cents each.

Natasha2012 [34]

He has 9 apples so we add .50 cents 9 times.
If we count this money-wise we would get 4.50, so if he paid with a $5 bill he would recieve 50 cents

4 0

2 years ago

A gazebo is being built near a nature trail. An equation of the line representing the nature trail is y = 13x−4. Each unit in th

Ipatiy [6.2K]

Answer:

126 feets

Step-by-step explanation:

Given that :

Equation of line repressing nature trail :

y = 13x - 4

Distance of gazebo from nature trail :

Each unit in coordinate plane = 10 feets

Hence,

y = 13(10) - 4

y = 130 - 4

y = 126 feets

6 0

2 years ago

In a relay race, each runner completes the circuit 9 seconds faster than the previous one. If the first athlete runs his lap in

Alona [7]

Answer:

31 minutes

Step-by-step explanation:

Here, we have 8 competitors with the previous runner outrunning the present by 9 seconds

1st runner time = 4 minutes 37 seconds

2nd runner time = 4 minutes 37 seconds - 9 seconds = 4 minutes 28 seconds

3rd runner time = 4 minutes 28 seconds - 9 seconds = 4 minutes 19 seconds

4th runner time = 4 minutes 19 seconds - 9 seconds = 4 minutes 10 seconds

5th runner time = 4 minutes 10 seconds - 9 seconds = 4 minutes 1 second

6th runner time s= 4 minutes 1 second - 9 seconds = 3 minutes 52 seconds

7th runner time = 3 minutes 52 seconds - 9 seconds = 3 minutes 43 seconds

8th runner time = 3 minutes 43 seconds - 9 seconds = 3 minutes 34 seconds

The total time is the addition of all the times

For clarity sake, we shall be adding all the minutes together and all the seconds together;

That will be ;

(4 * 6) + 3 minutes + ( 34 + 43 + 52 + 1 + 10 + 19 + 28 + 37)

= 27 minutes + 224 seconds

We need to convert 224 seconds to minutes

Since 60 seconds make one minute; we have

224 - 60(3) = 3 minutes and 44 seconds

Let’s add this to the minutes we had before

That would be;

27 minutes + 3 minutes + 44 seconds

= 30 minutes 44 seconds

since 44 seconds is greater than 1/2 minute (30 seconds), we can approximate it to 1 minute

So the total time is 30 minutes + 1 minute = 31 minutes

8 0

2 years ago

A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium

bazaltina [42]

First, we define variables:
x: small hat
y: medium hat
z: large hat
We now write the system of equations:
x + y + z = 47
5.50x + 6y + 7z = 302
-3x + y = 0
We can write the system in matrix form as:
Ax = b
Where,
A = [1 1 1; 5.50 6 7; -3 1 0]
b = [47; 302; 0]
x = [x; y ; z]
Solving the system we have:
x = 6
y = 18
z = 23
Answer:
the coach did purchase 23 large hats
d. 23

3 0

2 years ago

Read 2 more answers