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Natali5045456 [20]
4 years ago
11

Which number belongs to the solution set of the equation below? x - 7 = 35 A. 22 B. 28 C. 42 D. 41

Mathematics
1 answer:
TiliK225 [7]4 years ago
6 0
Hey there!

To find a solution that would satisfy the value of x, the first thing you must do is to first solve for x. To solve x-7=35, you must add 7 to both sides to isolate x. This should result in x=42.

When you look at the answer choices given, notice that choice C is the solution for x, 42.

Therefore, your answer would be C. 42.

To check if this is correct, you can plug 42 back into the equation x-7=35 to see if you get a true statement:
42-7=35
35=35

Hope this helps!
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kaheart [24]

Answer:

The interest rate is 7.58%

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

A = Pe^{rt}, where

  • A is the future value of the investment, including interest
  • P is the principal investment amount (the initial amount)
  • r is the interest rate  in decimal
  • t is the time the money is invested for

∵ Angus has $3,000 he want to invest

∴ P = 3000

∵ The interest rate is compounded continuously

∵ Angus has $5,500 in 8 years

∴ A = 5500

∴ t = 8

→ Substitute them in the rule above to find r

∵ 5500 = 3000e^{8r}

→ Divide both sides by 3000

∴ \frac{11}{6} = e^{8r}

→ Insert ㏑ in both sides

∵ ㏑( \frac{11}{6} ) = ㏑(e^{8r})

→ Remember ㏑(e^{n}) = n

∴ ㏑( \frac{11}{6} ) = 8r

→ Divide both sides by 8

∴ 0.07576697545 = r

→ Multiply it by 100% to change it to a percentage

∴ r = 0.07576697545 × 100%

∴ r = 7.576697545 %

→ Round it to the nearest hundredth

∴ r ≅ 7.58

∴ The interest rate is 7.58%

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ILL GIVE BRAINLY HELP 20 POINTS!!!
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Step-by-step explanation:

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Step-by-step explanation:

8 0
3 years ago
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Trava [24]
So I’m going to solve this using algebra OK?
So what you do is take the first integer as X.
Then we know that x(the first number) + X+2(the second number) is 288 right?
So we solve that saying x+x+2=288.
So 2X+2=288
2X+2-2=288-2 right?
So 2X=286.
So x is 286/2 right?
So x is 143.
Now the first number is 143 right?
So the second number should be 143+2 so 145.
I know they are not even but these are the solutions.
I don’t think there are any consecutive even numbers that add up to 288
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3 years ago
A shop sells pairs of trainers for £52 each. They make a percentage profit of 30% on each pair. What was the cost of each pair o
DochEvi [55]

Answer:

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