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Irina18 [472]
3 years ago
11

PLEASE HELP FAST(solve the pre-algebra question)

Mathematics
1 answer:
Eva8 [605]3 years ago
8 0

Answer:

Flag = 46

Shamrock = 46

Hat = 27

Accordion = 198

Step-by-step explanation:

To keep things simple, I'll denote the flag with f, the shamrock with s, the hat with h and the accordion with a.

The second equation tells us that f/s is 1. When you divide something by something and get 1, that means they're equal (eg, 2÷2=1, 3÷3=1 etc). That means f=s.

The second equation tells us f+s+s=138, but since f=s, this basically means 3f=138. Dividing both sides by three, we find out f=46 and by extension, s=46.

The third equation tells us s+h+h=100. We know s so we can write this as 46+2h=100. Take 46 form both sides to get 2h=54. Divide both sides by 2, we find out h=27.

The fourth equation tells us a=4f+14. Sub in our value for f and this is a=(4x46)+14. Solve this to get a=184+14, a=198.

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How much money should be deposited today in an account that earns 6% compounded monthly so that it will accumulate to $1000000 (
aleksandr82 [10.1K]

Answer:

The principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

Step-by-step explanation:

Given

  • Accrued Amount A = $1000000
  • Interest rate r = 6% = 0.06
  • Time period t = 45 years
  • Compounded monthly n = 12

To determine:

  • Principle amount P = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

P\:=\frac{A}{\left(1\:+\:\frac{r}{n}\right)^{nt}}

substituting A = 1000000, r =  0.06, t = 45, and n = 12

P\:=\frac{1000000}{\left(1\:+\:\frac{0.06}{12}\right)^{12\cdot 45}}\:

    =\frac{1000000}{1.005^{540}}

P = 67659.17 $

Therefore, the principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

7 0
3 years ago
AD is a common internal tangent to circles B and C. Find the length of the radius of circle B. Round to the nearest hundredth.
ycow [4]
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8 0
4 years ago
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Anyone please answer me ,<br> Please solve this question
Mamont248 [21]

Answer:

67

Step-by-step explanation:

Multi-Inscribed Quadrilateral: 15

Bananas: 4

Clock: 3

Therefore, we can substitute for the last equation the values, so it would become:

3 + 4 + 4 x 15 = ?

First, we solve the multiplication according to PEMDAS.

4 x 15 = 60

Then, we can add from left to right.

3 + 4 + 60 = ?

3 + 4  = 7

7 + 60 = 67

Therefore, our answer would be 67.

3 0
3 years ago
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Hi

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4 0
3 years ago
Workout the length of AB. Give your answers to 3 significant figures.
german

Answer:

AB ≈ 6.71

Step-by-step explanation:

Calculate the length using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = A (- 1, 6) and (x₂, y₂ ) = B (5, 3)

AB = \sqrt{(5-(-1))^2+(3-6)^2}

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    = \sqrt{36+9}

    = \sqrt{45}

    ≈ 6.71 ( to 3 significant figures )

8 0
3 years ago
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