Carmen purchases a new outfit that costs $139.28 plus a 5.3% sales tax. What is

Tell whether the triangle is a right triangle. Show Work.

Yakvenalex [24]

Answer:

This is not a right triangle because the hypotenuse is less than the two sides and aren't equal when following the Pythagorean thm

Step-by-step explanation:

To confirm if a triangle is a right triangle, we must use the Pythagorean thm

a^2 + b^2 = c^2

23^2 + 11.4^2 = 21.2^2

529 + 129.96 = 449.44

658.96 ≠ 449.44

7 0

3 years ago

Mr. Thomas spent $1,600 of his savings on a television set and 2/5 of the remainder on a refrigerator. He had 1/3 of his origina

Katena32 [7]

Answer:

The amount spent on the refrigerator is $ 800 .

Step-by-step explanation:

Given as :

The amount spent on television = $ 1600

Le The total amount in the account = $ A

so, The amount left in account after spent on television = $ A - $ 1600

The amount spent on refrigerator = $\frac{2}{5}$ × ( A - 1600 )

The amount left in his saving account = $\frac{1}{3}$ × A

Now, According to question

A - ( 1600 + $\frac{2}{5}$ × ( A - 1600 ) ) = $\frac{1}{3}$ × A

Or, A - $\frac{1}{3}$ × A = 1600 + $\frac{2}{5}$ × ( A - 1600 )

Or, $\frac{2}{3}$ × A = 1600 + $\frac{2}{5}$ × A - $\frac{2}{5}$ × 1600

or, $\frac{2}{3}$ × A - $\frac{2}{5}$ × A = 1600 - 640

Or, $\frac{10 - 6 }{15}$ × A = 960

or, $\frac{4}{15}$ × A = 960

∴ A = $\frac{960\times 15}{4}$

I.e A = 3600

So, The amount in the saving account is $3600

∵ , The amount spent on refrigerator = $\frac{2}{5}$ × ( 3600 - 1600 )

Or, The amount spent on refrigerator = $\frac{2}{5}$ × 2000

I.e The amount spent on refrigerator = $ 800

Hence The amount spent on the refrigerator is $ 800 . Answer

4 0

3 years ago

____ is the amount of a $3,000.00 annuity due at 12 percent compounded semiannually for 3 years

ANEK [815]

The formula of the present value of annuity due:
$PV=C*[\frac{1-(1+i)^{-n}}{i}]*(1+i)$

For your case:
C = $3000
i = 12% / 100 = 0.12
n = 3 * 2 = 6 (semiannually for 3 years means 6 payments)

So, the solution is:
$PV=3000*[\frac{1-(1+0.12)^{-6}}{0.12}]*(1+0.12)=3000*[\frac{1-0.5066}{0.12}]*1.12=$
$=3000*[\frac{1-0.5066}{0.12}]*1.12=3000*4.1114*1.12=13814.32$

3 0

3 years ago

Which is greater 7/9 or 85/100. Please help

Alika [10]

$\frac{7}{9} \ \ or \ \ \frac{85}{100} \\ \\ \frac{7}{9} \ \ or \ \ \frac{17}{20} \\ \\\frac{7\cdot 20}{180} \ \ or \ \ \frac{17\cdot 9}{180}\\ \\\frac{140}{180} \ \ < \ \ \frac{153}{180} \\ \\ Answer : \ \frac{7}{9} \ \ < \ \ \frac{85}{100}$

4 0

2 years ago

Read 2 more answers

2.The amount of money in Sam's bank account can be expressed by the following function, where x represents the number of weeks.

Triss [41]

ANSWER: $ 912 .
________________________________
Explanation:
_______________________________
75x + 12 = ?
_____________________
Substitute "12" for "x" ; to solve:
______________________________
75*(12) + 12 = 912 .
______________________________
Answer: $912.
______________________________

4 0

3 years ago