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Kamila [148]
3 years ago
7

Amanda has a salary of $1,500 per month and she divides her income in the following way: Expense Amount of Money Savings $475 Ca

r payment and Insurance $425 Phone and internet $175 Food $225 Clothes $100 Misc. $100 Which statement is true? Amanda spends 15% of her salary on food. Amanda spends 50% of her salary on savings and car payment and insurance combined. Amanda spends 10% of her salary on phone and internet. Amanda spends 5% of her salary on clothes.
Mathematics
1 answer:
Llana [10]3 years ago
7 0

Answer:

True :  Amanda spends 15% of her salary on food.

False:  Amanda spends 50% of her salary on savings and car payment and insurance combined.

False:  Amanda spends 10% of her salary on phone and internet.

False: Amanda spends 5% of her salary on clothes.

Step-by-step explanation:

The monthly salary of Amanda =   $1,500

Money Savings  =  $475 , Car payment and Insurance   = $425

Phone and internet  =  $175   , Food  =  $225  , Clothes = $100  Misc. = $100

Now, check each of the given statements:

1) Amanda spends 15% of her salary on food.

Now,15% of $1500  =  \frac{15}{100}  \times 1500 = 225

⇒ 15 % of her salary is $225.

So, the given statement is TRUE.

2) Amanda spends 50% of her salary on savings and car payment and insurance combined.

Now,50% of $1500  =  \frac{50}{100}  \times 1500 = 750

Also, combined amount of savings and car payment insurance

=  $475 + $425 = $900

But 50 % of her salary is $750.

So, the given statement is FALSE.

3)  Amanda spends 10% of her salary on phone and internet.

Now,10% of $1500  =  \frac{10}{100}  \times 1500 = 150

⇒ 10 % of her salary is $150.  But she spends $175 on phone and internet

So, the given statement is FALSE.

4)Amanda spends 5% of her salary on clothes.

Now,5% of $1500  =  \frac{5}{100}  \times 1500 = 75

⇒ 5 % of her salary is $75.  But she spends $100 on her clothes.

So, the given statement is FALSE.

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What is the square root of 430
Sidana [21]

Answer:

√430 or 20.74

Step-by-step explanation:

√430

Prime factorize 430

√2 · 5 · 43

There are no pairs to take out of the root, so the most simplified form of √430 is √430.

If you want the decimal form, it is 20.74

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3 0
3 years ago
Please help me!!!!!!!!!!!!!​
monitta

Answer:  see proof below

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

Use the following Half-Angle Identities:    tan (A/2) = (sinA)/(1 + cosA)

                                                                     cot (A/2) = (sinA)/(1 - cosA)

Use the Pythagorean Identity: cos²A + sin²B = 1

Use Unit Circle to evaluate: cos 45° = sin 45° = \frac{\sqrt2}{2}

<u>Proof LHS → RHS</u>

Given:                       cot\ (22\frac{1}{2})^o-tan\ (22\frac{1}{2})^o

Rewrite Fraction:     cot\ (\frac{45}{2})^o-tan\ (\frac{45}{2})^o

Half-Angle Identity:   \dfrac{sin(45)^o}{1-cos(45)^o}-\dfrac{sin(45)^o}{1+cos(45)^o}

Substitute:                  \dfrac{\frac{\sqrt2}{2}}{1-\frac{\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{1+\frac{\sqrt2}{2}}

Simplify:                      \dfrac{\frac{\sqrt2}{2}}{\frac{2-\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{\frac{2+\sqrt2}{2}}

                               =\dfrac{\sqrt2}{2-\sqrt2}-\dfrac{\sqrt2}{2+\sqrt2}

                               =\dfrac{\sqrt2}{2-\sqrt2}\bigg(\dfrac{2+\sqrt2}{2+\sqrt2}\bigg)-\dfrac{\sqrt2}{2+\sqrt2}\bigg(\dfrac{2-\sqrt2}{2-\sqrt2}\bigg)

                               =\dfrac{2\sqrt2+2}{4-2}-\dfrac{2\sqrt2-2}{4-2}

                               =\dfrac{4}{2}

                               = 2

LHS = RHS:  2 = 2  \checkmark

7 0
4 years ago
A company sells each product they make for $84.00. They pay $2,100.00 in monthly costs such as rent and bills as well as $70.00
mel-nik [20]

Answer:

P=14x-2100

Step-by-step explanation:

<em>Since equations are not listed, i will simply figure out the correct answer.</em>

<em />

Profit is Income MINUS Cost.

The cost is a fixed cost of 2,100 per month.

Also a variable cost of 70 per unit (x), if x units sold, then variable cost would be "70x"

Total Cost = 2100 + 70x

Now, the income is from sales of each unit. Each unit sells for $84 and if x units sold, company's income would be:

84x

So, profit will be:

Profit = Income - Cost

Profit = 84x - (2100 + 70x)

Profit = 84x - 2100 - 70x

Profit = 14x - 2100

We can write the equation as:

P=14x-2100

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