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2 years ago

9

4(x + 2) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property? (4 point

s) (x + 2) ⋅ 4 4x + 8 (4 + x) + 2 4x + 2

1 answer:

Amiraneli [1.4K]2 years ago

6 0

Hello :
<span> by the Distributive Property
</span>4(x + 2) = (4×x) +(4<span>×2)= 4x +8</span>

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B, the second answer choice

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A large university is interested in learning about the average time it takes students to drive to campus. The university sampled

Dmitrij [34]

Answer: The value of test statistic is 2.442.

Step-by-step explanation:

Since we have given that

n = 238

Sample mean = 23.2 minutes

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Hypothesis :

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2 years ago

If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance

Tomtit [17]

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a) Interest earned = $36

New Balance = $336

b) Interest rate = 0.05 or 5%

New Balance = $517.5

c) time t = 5

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New Balance = $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding interest

$Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36$

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding rate

$Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%$

So, Interest rate = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding time

$Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5$

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding Principal

$Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675$

So, Principal Amount = $675

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2 years ago

The balance owed on your credit card triples from $700 to $2100 in 12 months. If the balance is growing linearly then it would t

Fofino [41]

Answer:

If the balance is growing exponentially the balance after 45.4 months will be $44,925.94.

Step-by-step explanation:

The exponential growth equation is:

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$f(x)=700(1+0.096)^{x}$

$=700(1+0.096)^{45.4}\\\\=700\times (1.096)^{45.4}\\\\=700\times 64.1799181\\\\=44925.94267\\\\\approx 44925.94$

Thus, if the balance is growing exponentially the balance after 45.4 months will be $44,925.94.

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3 years ago