Help ASAP! And explain!

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

5 0

The last option is correct. If two sides of a triangle are congruent, then the angles opposite those sides are congruent. This is probably because the sides are equal.

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HELPPP ASAPPP!!!!!!!!

kaheart [24]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

John flips a fair coin 40 times. How many times can he expect heads to appear?

nevsk [136]

The answer is 20, since it’s heads and tails you have a half and half chance, therefore you divide 40 in half and get 20

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3 years ago

What interest rate, to the nearest tenth of a percent, that is required for an investment subject to continuous compounding to i

Sunny_sXe [5.5K]

Answer:

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

Step-by-step explanation:

Use the formula for continuous compounding

$X(t) = Pe^{rt}$

where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.

(this formula can be beautifully derived from just basic considerations, btw)

We are given t=5, and percent increase on the initial P, so we can solve for r

$X(5) = 1.5P=Pe^{r\cdot5}\\1.5=e^{r\cdot5}\\\ln 1.5=\ln e ^{5r}\\\ln 1.5=5r\\r = \frac{\ln 1.5}{5}=0.081\rightarrow 8.1\%$

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

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3 years ago

Which of the following statements best explains the difference between literal and figurative language? (4 points)

SOVA2 [1]

2nd answer is the correct one

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3 years ago

Alexa spins a spinner that is divided into equally sized red, green, and blue sections. What is the probability that Alexa spins

vesna_86 [32]

The probability that Alexa spins an orange is zero. Since there is no orange on the spinner, there is no way for her to get an orange. Hope this helped!

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2 years ago