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AleksandrR [38]
3 years ago
10

The weight of 100 identical samples of a substance is

Mathematics
1 answer:
serious [3.7K]3 years ago
8 0
0.1 / 100 * 10 = 0.01 pounds
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Tom and Jerry both invested the same amount for 8 years. If Tom’s rate of return is 9% and Jerry’s rate is 10% compounded annual
Margarita [4]

Answer:

The correct option is;

(f) 7.6%

Step-by-step explanation:

The given parameters are;

The number of years Tom and Jerry are investing their money, t = 8 years

The rate of return for Tom's investment, r₁ = 9%

The rate of return for Jerry's investment, r₂ = 10%

The rate at which the interest is compounded, n = Annually =  1

Let P represent the equal amount of money each of Tom and Jerry invested separately

The amount, A, of the investment is given by the following formula;

A = P \times \left (1 + \dfrac{r}{n} \right ) ^{n \times t}

Substituting the known values for Tom, gives;

A = P \times \left (1 + \dfrac{0.09}{1} \right ) ^{1 \times 8} = P \times 1.09^8 \approx 1.993\cdot P

The amount Tom has after 8 years ≈ 1.993·P

Substituting the known values for Jerry, gives;

A = P \times \left (1 + \dfrac{0.1}{1} \right ) ^{1 \times 8} = P \times 1.1^8 \approx 2.144\cdot P

The amount Jerry has after 8 years ≈ 2.144·P

The percentage amount Jerry has more than Tom after 8 years, PA is given as follows;

PA = \dfrac{2.144 \cdot P - 1.993 \cdot P}{1.993 \cdot P} \times 100 = 7.57651781234\% \approx 7.6 \%

The amount Jerry will have after 8 years than Tom = PA ≈ 7.6%.

5 0
3 years ago
How to find the missing side of this triangle
Aleksandr [31]

Answer

3√21 cm

I hope it helps

3 0
3 years ago
Billy wants to make trail mix using almonds, peanuts, and raisins. He wants to mix one part almonds, two parts peanuts, and thre
Y_Kistochka [10]
X = price of the ingredients

so based on the proportion , we can write that :
Almonds needed = x     =                    $ 12 x
peanut needed   =  2x   = 2x * $ 8     =  $ 16x
raisins needed     = 3x  =  3x * $6      =  $ 18x

Equation = 
12x + 16x + 18x  ≤  $ 23

46x                  =     $23

x    =  $ 0.5

The pound of mix he can made :

0.5 * 1 pound of almond  + 0.5 x  * 2 pound of peanuts + 0.5 * 3 pound of raisins

= 3 Pound of mix

4 0
3 years ago
A highway passes under a road. The clearance height is 7.75 feet write and graph an inequality that represents the height of a v
san4es73 [151]
0 is less than or equal X is less than 7.75
8 0
2 years ago
Please help me, haha...
sashaice [31]
Yup the answer is C !!
3 0
2 years ago
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