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Veronika [31]
3 years ago
12

What scale factor was applied to the first rectangle to get the resulting image? The answer is a decimal. The big rectangle is 2

.5 and the smaller one is 0.5
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0
Scale factor is always (new/original)

so it depends which rectangle came first. if it started as large and was dilated to the smaller one, then the ratio is (.5/2.5) which simplifies to 1/5 or 0.2.
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Write an expression that evaluates to true if the value of the integer variable number of prizes is divisible (with no remainder
natta225 [31]

Answer:

A=BQ

Step-by-step explanation:

In order to find an expression, you can use the definition of the dividend in a division:

A=BC + R

where A is the dividend, B is the divisor, Q is the quotient (the result of the division) and R is the remainder of the division.

Let A represent the integer variable number of prizes and B represent the integer variable number of participants.

In this case R=0 and B≠0, therefore:

A=BQ

A is divisible by B if A can be written as an integer multiple of B. In other words, you have to find an integer number Q that multiplied by B produces A.

8 0
3 years ago
Emma invested $41,000 in an account paying an interest rate of 2.6% compounded monthly. Assuming no deposits or withdrawals are
kvasek [131]

Answer: it will take 7 years for the value of the account to reach $49,300

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $41000

A = $49300

r = 2.6% = 2.6/100 = 0.026

n = 12 because it was compounded 12 times in a year.

Therefore,

49300 = 41000(1 + 0.026/12)^12 × t

49300/41000 = (1 + 0.0022)^12t

1.2024 = (1.0022)^12t

Taking log of both sides of the equation, it becomes

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8 0
3 years ago
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TEA [102]
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3 0
4 years ago
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topjm [15]

Answer:

1. B

2. A

Step-by-step explanation:

1.

10^{-2} means that you move the decimal back two times

B is the only option that represents that correctly.

2.

5 * 10^{4} = 50000

2.5 * 10^{2} = 250

50000/250 = 200

Out of the options, A is the only option in which the equation also equals 200.

4 0
2 years ago
What is 35% of 500?<br> Help please
Hatshy [7]

Answer:

175

Step-by-step explanation:

500 times 35/100

simplify

8 0
3 years ago
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