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Elenna [48]
3 years ago
11

The product of two and the square of x* Your answer

Mathematics
1 answer:
Vesna [10]3 years ago
7 0

Answer:

2x with the squared sign

Step-by-step explanation:

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Which postulate or theorem proves that △ABC and △CDA are congruent?
Agata [3.3K]

Answer:

ASA Congruence Postulate ​

Step-by-step explanation:

Here if we clearly observe ∠DAC=∠BCA and ∠DCA=∠BAC

Also AC is a common side to both the triangles .

So by ASA congruence postulate we have that the ΔADC and ΔCBA are congruent.

ASA congruence postulate states that if two triangles have two angles and an included side same then both the triangles are congruent.

4 0
3 years ago
Find the roots of the quadratic equation 2x^2-x-4 =0
professor190 [17]

Answer:

I hope it will help you...

7 0
3 years ago
Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If
valentinak56 [21]

Answer:

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

Step-by-step explanation:

Given monthly income of Ron is $3,142.23

Ron contributes 10% of his monthly income that is $ 314.223

Given : Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.

Total amount he contribute in 40 years paying 5.5% compounded monthly is given by

interest rate(r) =\frac{0.055}{12}

time period = 40 years = 480 months

Principal amount = $ 314.223

Future value = P(\frac{(1+r)^n-1}{r} )

Substitute , we get,

=3142.23\cdot\frac{.10\left(\left(1+\frac{.055}{12}\right)^{12\cdot40}-1\right)}{\frac{0.055}{12}}

Thus, future value is $547074.681009.

After retirement his monthly income when he has $547074.681009 amount.

P=\dfrac{A\cdot\frac{i}{12} }{1-(1+\frac{i}{12})^{-n}}

Putting values , we get,

P=\frac{\left(547074.68\cdot\frac{.055}{12}\right)}{1-\left(1+\frac{0.055}{12}\right)^{-240}}

P = $3763.25

He will receive a monthly income of $3763.25.

But  given he will need a monthly income of $4,123 for 20 years which is not met by Ron.

So,the amount he need to supplement his monthly income when he retires by (4123-3763.25)= $359.74

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

4 0
3 years ago
Read 2 more answers
Number Sense Bags of potatoes weigh
Lelechka [254]

Answer:

23 bags of potatoes weigh more.

Step-by-step explanation:

What is larger:

23 * 35 or 19 * 32

19 is less than 23, and 32 is less than 35, so 23 * 35 must be greater than 19 * 32.

Answer: 23 bags of potatoes weigh more.

4 0
3 years ago
In winter, the price of apples suddenly went up by .75 per pound. Sam bought 3 pounds of apples at the new price for a total of 
Klio2033 [76]
5.88 - .75p = 5.88
Hope this helped
6 0
3 years ago
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