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3 years ago

Which of the following are equivalent to -1/2(10+1/4)

Mathematics

1 answer:

Eva8 [605]3 years ago

8 0

Answer:

c is equivalent to the answer

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. Name a segment whose length is the same as segment .

Vesna [10]

i think its congruency

or being congruent

4 0

3 years ago

What constant do you need to add to each quadratic to complete the square?

babunello [35]

Answer:

1. 4

2. 16

3. 9

Step-by-step explanation:

Completing the square requires a quadratic in $ax^2+bx=c$ form. Once in this form, calculate $(\frac{b}{2})^2$ .

1. $(\frac{b}{2})^2=(\frac{-4}{2})^2=4$

2. $(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

3. Requires you divide everything by 3 first.

$\frac{3x^2+18x}{3} =\frac{249}{3} \\x^2+6x=81$

$(\frac{b}{2})^2=(\frac{6}{2})^2=9$

6 0

3 years ago

A rectangle has been enlarged by a scale of 3.5

Vanyuwa [196]

Multiply 8 and 6 by 3.5 and then times them together.
8x3.5=28
6x3.5=21

28x21=588

8 0

4 years ago

Suppose there is 6% sales tax. How much would you pay for bag of candy with a price tag

dimulka [17.4K]

The answer would be $2.12.

The equation for this problem would look like… 2 x 1.06.

6 0

3 years ago

3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,

kherson [118]

Answer:

In 2030 Lane & Zack's house be worth $65,739.27.

Step-by-step explanation:

Here, as we know The value of property = $245,000

Rate of depreciation = 4% of its present value

Time = From 2016 to 2030 = 14 years

Now, here: Amount depreciated = -( COMPOUND INTEREST on the value)

<u> Step 1: CALCULATE THE COMPOUND INTEREST on P = $245,000</u>

$A = P(1 + \frac{r}{100} )^t\\\implies A = (245,000)(1 + \frac{4}{100} )^{14} = (245,000)(1 + \frac{4}{100} )^{14}\\=245,000 (\frac{104}{100} )^{14} = 424,260.73$

or, AMOUNT = $424,260.73

Now, AMOUNT = Compound I + Principal

⇒Compound I = A - P = $424,260.73 - $245,000 =$ 179,260

So, the amount of the house by which house depreciates = $ 179,260

⇒The depreciated value = Actual Value - The depreciated amount

= $245,000 - 179,260 = $65,739.27

Hence, in 2030 Lane & Zack's house be worth $65,739.27.

4 0

4 years ago