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Karo-lina-s [1.5K]
3 years ago
14

What annual simple interest rate will increase Johnson Alexander's initial investment of $10,000 to $12,000 in five years?

Mathematics
1 answer:
grigory [225]3 years ago
3 0

<span>The rate for such investment is 4% per annum. This will be computed as follows: $12,000 (Future value of money) less $10,000 ( Present value of money) is equal to $2,000 which will be then divided by 5 years and the it will give us the value of $400 per year. Then $400 will be divided by the $10,000 ( Present value of money) which gives us 4%.</span>

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Which triangle congruence postulate proves these two triangle are congruent?
ad-work [718]

Answer:

A. AAS

Step-by-step explanation:

The vertical angles are congruent, the adjacent marked angles are congruent, and the marked sides on the far side of both angles are congruent. This geometry matches the conditions for Angle-Angle-Side (AAS) congruence.

6 0
4 years ago
A machine produces 3-inch nails. A sample of 10 nails is obtained and the lengths determined. After some calculation, the sample
gtnhenbr [62]

Answer:

<em>The 90% confidence interval for the population mean length of nails produced by the machine.</em>

<em>(2.91562, 3.04438)</em>

Step-by-step explanation:

<u><em>Step:1</em></u>

Given that the size of the sample 'n' = 10

Given that the mean of the sample (x⁻) = 2.98

Given that the standard deviation of the sample (s) = 0.09

Degrees of freedom = n-1 = 10 -1 = 9

t₀.₁₀ = 2.2621

<u><em>Step:2</em></u>

<em>The 90% confidence interval for the population mean length of nails produced by the machine.</em>

(x^{-} - t_{9 , 0.10} \frac{S}{\sqrt{n} } , x^{-} + t_{9,0.10} \frac{S}{\sqrt{n} } )

(2.98 - 2.2621(\frac{0.09}{\sqrt{10} } , 2.98 + 2.262 \frac{0.09}{\sqrt{10} } )

(2.98 - 0.06438 , 2.98 + 0.06438)

(2.91562 , 3.04438)

<u><em>Final answer:-</em></u>

<em>The 90% confidence interval for the population mean length of nails produced by the machine.</em>

<em>(2.91562, 3.04438)</em>

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Please help!! i dont understand how to do this
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69

Step-by-step explanation:

Its very confusging dfsxnjzasdjk but the answer is 69

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