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2 years ago

Solve for z.

Mathematics

2 answers:

fiasKO [112]2 years ago

6 0

Answer: Okay, the answer is z=2.

Step-by-step explanation: Step 1: Simplify the both sides of the equation: 2z+3=7.

Step. 2: Subtract 3 from the both sides: 2z+3−3=7–3.

Last but not least is step 3. Divide the both sides by 2: 2z/2=4/2. So you get z=2. I hoped my step-by-step explanation formula substitution is very helpful, please mark me as Brainliest, and have a happy holidays!!!!!!! :D

ivann1987 [24]2 years ago

5 0

Answer: z=2

Step-by-step explanation:

2 x 2 = 4 + 3 = 7

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Answer:

C) 15

Step-by-step explanation:

Here we have to use the combination to find the number of possible combinations.

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Plug in n = 6 and r =2, in the above formula, we get

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

Tomtit [17]

Answer:

a) Interest earned = $36

New Balance = $336

b) Interest rate = 0.05 or 5%

New Balance = $517.5

c) time t = 5

New Balance = $612.5

d) Principal Amount = $675

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

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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

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

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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

New Balance = Principal + Interest = 675+108 = $783

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