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lilavasa [31]
3 years ago
9

Your monthly living expenses are $1500 on an income of $1,650 per month. Your goal is to have an emergency fund of 4 times your

monthly living expenses. Your emergency fund savings account has $2,400 and you put the remainder of your monthly income into the emergency fund each month. How much more money would you have to save each month to complete your emergency fund in 12 months?
a.
$300 per month
b.
$150 per month
c.
$75 per month
d.
$60 per month
Mathematics
2 answers:
Aneli [31]3 years ago
4 0
For the answer to the question above, your end goal is to have $6,000 total in 12 months. since you have $2400 already you can subtract that from 6,000 leaving you with $3600 over the course of 12 months. since you already put $150 in a month over the course of 12 months you would have $1800 which is only half of the goal of $3600. in order for you to put in $3600, you would have to put an additional 150 in your savings along with your regular 150 making Letter B the answer.
Zinaida [17]3 years ago
4 0

Answer:

b. $150 per month

Step-by-step explanation:

To begin solving this let us calculate the amount of our Goal and how much we are saving per month. Our goal is to save up 4 times the amount of our monthly expenses. So we multiply our monthly expenses by 4 like so,

1,650 - 1,500 = 150 savings per month

1,500 * 4 = 6,000 goal

We are currently saving $150 per month. Now that we know our goal is $6000. Lets calculate how far off we are with what we already have in our savings by subtracting our goal from our current savings.

6,000-2,400 = 3,600

We need to save up $3,600 in 12 months which would be  

\frac{3600}{12}=300

Therefore we need to put $300 a month into our savings account to reach that goal in 12 months. Since we already put $150, this means we need to make an additional $150 a month to reach our goal in 12 months.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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A and B are complementary angles. If mA=(x+8)° and mB =(8x+1),<br> find the measure of A
Black_prince [1.1K]

Answer:

\angle A=17\textdegree

Step-by-step explanation:

We know that A and B are complementary angles. So, they must add up to 90°. As an equation:

\angle A+\angle B=90

Since we know their equations, substitute:

(x+8)+(8x+1)=90

Solve for x. Combine like terms on the left:

9x+9=90

Subtract 9 from both sides:

9x=81

Divide both sides by 9:

x=9

So, the value of x is 9.

We want to find A. So, let's use the equation for A:

\angle A=x+8

Substitute 9 for x:

\angle A=9+8

Add:

\angle A=17\textdegree

So, the measure of A is 17°.

4 0
3 years ago
-(4x+6)&lt;2(5x+9)+2x write the solution for interval notation
Ludmilka [50]

Answer:

(-1.5,\infty)

Step-by-step explanation:

-(4x+6)<2(5x+9)+2x

Distribute:

-4x-6<10x+18+2x

Combine like terms on either side:

-4x-6<12x+18

We want to now gather variable terms on one side of the inequality and constants (terms without variables) on the opposing side.

Add 4x on both sides:

-6<16x+18

Subtract 18 on both sides:

-24<16x

Divide both sides by 16:

-24/16<x

This implies:

x>-24/16

Reduce:

x>-3/2

x>-1.5

So in an interval notation this is (-1.5,\infty).

3 0
3 years ago
The volume of cylinder is 448 pie cm cube and height 7 cm find its radius<br>​
Verizon [17]

<u>Answer:</u>

r =\bf 8 \space\ cm

<u>Step-by-step explanation:</u>

The formula for volume of a cylinder is as follows:

\boxed{Volume = \pi r^2 h}

where:

• r = radius (? cm)

• h = height (7 cm).

Substituting the values into the formula:
448 \pi  = \pi \times r^2 \times 7

Now solve for r:

⇒ r^2 = \frac{448 \pi }{\pi \times 7}

⇒ r = \sqrt{64}

⇒ r =\bf 8 \space\ cm

8 0
2 years ago
Read 2 more answers
I’ve been trying to move on but I can’t get through it can someone please help me out please please
nadya68 [22]

Answer:

84 - c

Step-by-step explanation:

The correct expression would be 84 - c

4 0
3 years ago
Can someone also help me with this please and thankss
VMariaS [17]

Answer: The measure of angle 3 is 50 degrees.

Step-by-step explanation:

We know that angle 2 is 130 degrees.

Angle 1 and angle 2 are verticle angles which means that they are across and equal to each other.

So angle 1 and angle 2 are 130 degrees.

Add up both angle 1 and angle 2, 130 + 130 = 260.

Now, all of these angles add up to be 360 degrees in total as they make a circle and there are 360 degrees in one.

Subtract 260 from 360, 360 - 260 = 100.

Since both angle 3 and angle 4 are also verticle angles we need to split the 100 degrees evenly, 100 ÷ 2 = 50.

So, angle 3 is 50 degrees.

8 0
3 years ago
Read 2 more answers
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