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Fittoniya [83]
3 years ago
15

Solving Multi-Step 1. List the steps in order) require 3(z + 5) = 12 I a)

Mathematics
2 answers:
Dmitrij [34]3 years ago
7 0

Answer:

z = -1

Step-by-step explanation:

3(z + 5) = 12

Step 1: Divide both sides by 3.

z + 5 = 4

Step 2: Subtract 5 from both sides.

z = -1

Bingel [31]3 years ago
6 0
Z = -1

Explanation:

12 / 3 = 4

-1 + 5 = 4
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The radius of a cylinder is 5" and the lateral area is 70 pi sq. In. Find the length in altitude
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We are to solve for the value of the altitude of the given cylinder which has a radius of 5 feet and a lateral area of 70pi ft². To solve this we should recall that the formula in solving the lateral area of a cylinder is Lateral Area = 2pi*r*h. The solution is shown below:
r is equal to 5 ft
lateral area = 70pi
Solving for h, we have:
70pi = 2pi*5*h
70pi / 2pi = 5h
35 = 5h
divide both sides by 5, we have:
35/5 = 5h/5
7 = h

The answer for the length of the altitude is 7 feet.
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​A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and
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Answer: 24 plants

Step-by-step explanation:

1000 is not a perfect square.

31^2  < 1000 < 32^2

 

Required no. of trees = 32^2  − 1000

= 1024 − 1000

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Two group of scouts each have 120 members. If 1/3 of the first group and 1/4 of the second group elect to go on a field trip, ho
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1/3 of 120 is 40
1/4 of 120 is 30

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Giselle works as a carpenter and as a blacksmith. She earns $20 per hour as a carpenter and $25per hour as a carpenter and 30 ho
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Read 2 more answers
3. Suppose your credit card has a balance of $7800 and an annual interest rate of 16%. You decide
Blizzard [7]

Answer:

  • $274.22 per month
  • $2071.92 in total interest
  • $433.48 more per month
  • $1379.52 less in interest

Step-by-step explanation:

a) The amortization formula is used to find the monthly payment (A):

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

for a loan of a principal amount P at annual rate r compounded n times per year for t years.

For a borrowed amount of $7800 at 16% compounded monthly for 3 years, the payment will be ...

  A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·3)) ≈ $274.22

You must pay $274.22 each month to pay off the credit card in 3 years.

__

b) The total amount repaid is 36 times this monthly payment, so is ...

  $274.22 × 36 = $9871.92

The amount by which this exceeds the principal borrowed is ...

  $9871.92 -7800 = $2071.92

You will pay $2071.92 in interest.

__

c) Changing the time period to 1 year gives the payment value ...

  A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·1)) ≈ $707.70

The additional amount you must pay is ...

  $707.70 -274.22 = $433.48

You must pay $433.48 more each month.

__

d) Your total interest with the higher payments will be ...

  $707.70×12 -7800 = $692.40

The difference in interest amounts is ...

  $2071.92 -692.40 = $1379.52

You will pay $1379.52 less in total interest.

_____

<em>Caveat</em>

Here, the monthly amounts are rounded and the total repayment amount is based on that rounded value. In an actual payment situation, the final payment will be adjusted by a small amount to account for the fact that the monthly payment shown is not exact. That will affect the total interest and the difference in interest.

8 0
2 years ago
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