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ELEN [110]
3 years ago
11

The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest interest

rate.
Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

Interest rate = 2.41%

Step-by-step explanation:

The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest rate.

The formula to calculate the Interest rate for a Compound Interest is given as:

Solving for rate r as a decimal

r = n[(A/P)^1/nt - 1]

r = 12 × [(305.33/240.00)^1/(12)(10) - 1]

r = 0.0240996

Then convert r to R as a percentage

R = r * 100

R = 0.0240996 * 100

R = 2.41%/year

Therefore, the Interest rate = 2.41%

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2,3    3    5

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Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

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Number of shipments sent out = 168, 231, 411

So, Remaining inventory of watches would be :

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5 0
3 years ago
In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 basket
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Answer:

B. r + l = 45; 2r + 3l = 96

39 regular; 6 long-distance

Step-by-step explanation:

There were 45 baskets, so

(1) r + l = 45

There were 96 points in the game, so

(2) 2r + 3l = 96

Solve equation (1) for l

                    l = 45 – r     Substitute the value for l in Equation (2)

2r + 3(45 – r) = 96      Remove parentheses

 2r + 135 - 3r = 96      Combine like terms

         -r + 135 = 96      Subtract 135 from each side

                  -r = -39      Multiply each side by -1

                  r = 39      Substitute the value of r in Equation (1)

           39 + l = 45        Subtract 39 from each side

                   l = 6

===============

Check:

(1) 39 + 6 = 45

         45 = 45

(2) 2×39 + 3×6 = 96

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                   96 = 96


4 0
3 years ago
Find x in this 45°-45°-90° triangle. x = 4.5√2 9 18
postnew [5]

Answer:

x = 9

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then

sin45° = \frac{opposite}{hypotenuse} = \frac{x}{9\sqrt{2} } = \frac{1}{\sqrt{2} } ( cross- multiply )

x × \sqrt{2} = 9\sqrt{2} ( divide both sides by \sqrt{2} )

x = 9

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3 years ago
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