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AveGali [126]
3 years ago
14

Choose the number sentence that shows the distributive property of multiplication over addition.

Mathematics
1 answer:
Anarel [89]3 years ago
4 0

we know that

distributive property of multiplication over addition:

a \times (b+c)=a \times b + a \times c

now, we will verify each options

option-A:

3 × (4 + 5) = (3 × 4) + (3 × 5)

We can see that both sides match with property

so, this is TRUE

option-B:

3 × (4 + 5) = (3 + 4) × (3 + 5)

We can see that right side does not match with property

so, this is FALSE

option-C:

3 × (4 + 5) = (3 × 4) + 5

We can see that right side does not match with property

so, this is FALSE


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Suppose that $3000 is placed in an account that pays 16% interest compounded each year. Assume that no withdrawals are made from
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Answer:

a) $3480

b) $4036.8

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Suppose that $3000 is placed in an account that pays 16% interest compounded each year.

This means, respectively, that P = 3000, r = 0.16, n = 1

So

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 3000(1 + \frac{0.16}{1})^{t}

A(t) = 3000(1.16)^{t}

(a) Find the amount in the account at the end of 1 year.

This is A(1).

A(t) = 3000(1.16)^{t}

A(1) = 3000(1.16)^{1} = 3480

(b) Find the amount in the account at the end of 2 years.

This is A(2).

A(2) = 3000(1.16)^{2} = 4036.8

4 0
3 years ago
Describe what a graph of xs 1 would look like. (Be sure to include whether dot is open or closed and state
insens350 [35]

Answer:

The graph would be a line starting at one and moving to the left infinitely. The dot would be closed.

6 0
2 years ago
Sloane kicked a soccer ball at a speed of 56 feet per second. If the ball never leaves the ground, then it can be represented by
aksik [14]

Answer:

Third option: t=3.5\ seconds

Step-by-step explanation:

Given the function:

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 Since the ball never leaves the ground, you need to  substitute H(t)= 0 in the function in order to determine the time the soccer ball traveled:

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Factorizing, you get:

0=-8t(2t-7)

Then:

0=-8t\\\\t=0\ seconds\\\\\\\\0=2t-7\\\\7=2t\\\\t=3.5\ seconds

Therefore the time the ball traveled was:

t=3.5\ seconds

3 0
2 years ago
Jillian has $50.45 to spend on hamburgers and drinks. Hamburgers are $2.25 each. What is the LARGEST number she can buy and stil
Alexus [3.1K]
Your answer is C



Hope this helps :D
5 0
3 years ago
Read 2 more answers
Is this correct? If not, please tell me the correct answer!!!
White raven [17]

Answer:

That is correct

Step-by-step explanation:

180° rotation about origin just means that you have to flip the pre-existing image across the x-axis

Good job!

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